Word Problem

Problem 8301

Question 10 (2 points) SuGar Co. is run by Susan and Garry, who have been business partners for more than 20 years. Their specialty is to produce and sell solid wood tables. Last year, their costs to produce and sell thre tables included raw materials ( $\$ 200$ per table), direct labour ( $\$ 100$ per table), and shipping ( $\$ 50$ per table). They then added a $60 \%$ margin to determine their price. This year, the cost of their raw materials increased by $50 \%$ . Their other variable costs did not change. If they intend to keep their price (\$) the same as before, what is their new margin(\%) rounded to the nearest percentage? 75\% 33\% 100\% 49\% Next Page Page 10 of 10

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Problem 8302

The number of bacteria in a certain sample increases according to the following function, where $y_{0}$ is the initial number present, and $y$ is the number present at time $t$ (in hours). $y=y_{0} e^{0.029 t}$
How many hours does it take for the size of the sample to double? Do not round any intermediate computations, and round your answer to the nearest tenth. $\square$ hours

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Problem 8303

How much should be invested now at an interest rate of $6 \%$ per year, compounded continuously, to have $\$ 2000$ in five years? Do not round any intermediate computations, and round your answer to the nearest cent.

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Problem 8304

An English teacher needs to pick 15 books to put on his reading list for the next school year, and he needs to plan the order in which they should be read. He has narrowed down his choices to 6 novels, 16 plays, and 20 nonfiction books. If he wants to include an equal number of novels, plays, and nonfiction books, how many different reading schedules are possible? Express your answer in scientific notation rounding to the hundredths place.
Answer Tables Keypad Keyboard Shortcuts $\square$ $\times 10$

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Problem 8305

Question 11 (1 point)
11. Given that the sum of squares for error (SSE) for an ANOVA F-test is 12,000 and there are 40 total experimental units with eight total treatments, find the mean square for error (MSE). A) 300 B) 375 C) 308 D) 400
Choose the one that best completes the statement or answers the question.

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Problem 8306

a projectile is fired from and initial height of $y_{0}$ in meters, ith an initial velocity $v$ in $\mathrm{m} / \mathrm{sec}$ at an angle $\theta$ , then the osition $(x, y)$ in meters of the projectile $t$ seconds after it fires is given by $\left.v_{0} \cos \theta\right) t$ and $y=-4.9 t^{2}+\left(v_{0} \sin \theta\right) t+y_{0}$ etermine the parametric equations that describe the path $f$ the Angry Bird if the initial velocity is $40 \mathrm{~m} / \mathrm{s}$ and the initial height is 3 me
How long is the bird in the air? Round to hundredths.

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Problem 8307

34. On the grid below, draw a three-sided figure with two equal sides and one right angle

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Problem 8308

35. The pictograph below shows the favourite games played by students in a class. Sag
If 16 of the students are girls, how many are boys?

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Problem 8309

Step 1: $\quad \mathrm{H}_{2}+\mathrm{IBr} \rightarrow \mathrm{HI}+\mathrm{HBr} \quad$ (slow)
Step 2: $\quad \mathrm{HI}+\mathrm{IBr} \rightarrow \mathrm{I}_{2}+\mathrm{HBr} \quad$ (fast)
A proposed mechanism for the reaction $\mathrm{H}_{2}+2 \mathrm{IBr} \rightarrow \mathrm{I}_{2}+2 \mathrm{HBr}$ is shown above. Two experiments were performed at the same temperature but with different initial concentrations. Based on this information, which of the following statements is correct?
A The rate of the reaction will undergo a 4 -fold increase in the experiment in which the initial concentrations of both HI and IBr were doubled.
B The rate of the reaction will undergo a 2 -fold increase in the experiment in which the initial concentrations of both HI and IBr were doubled.
C The rate of the reaction will undergo a 4 -fold increase in the experiment in which the initial concentrations of both $\mathrm{H}_{2}$ and IBr were doubled.
D The rate of the reaction will undergo a 8 -fold increase in the experiment in which the initial concentrations of both $\mathrm{H}_{2}$ and IBr were doubled.

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Problem 8310

Carlos has a part-time job at an ice skating rink selling hot cocoa. He decided to plot the number of hot cocoas he sold relative to the day's high temperature and then draw the line of best fit. What does the slope of the line represent?

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Problem 8311

Two carts, $A$ and $B$ , are connected by a rope 39 ft long that passes over a pulley $P$ . The point $Q$ is on the floor 12 ft directly beneath $P$ and between the carts. Cart A is being pulled away from $Q$ at a speed of $2 \mathrm{ft} / \mathrm{s}$ . How fast is cart B moving toward $Q$ at the instant when cart A is 5 ft from $Q$ ? $\square$ $f t / s$

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Problem 8312

a) Si le périmètre d'un carré est de 20 hm , quelle est la mesure d'un de ses côtés?

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Problem 8313

Owl uwo email Calculus Textbook Bio Mindtap 1001 Textbook He... Achieve Chemistry Module Health Sci 1001A... 11A Midterm Exam Oct2024.pdf 12 / 16 118\% October 2024 Biology 1001A Midterm Exam Page 12 of 16
30. Cell growth and cell replication are essential for the development of multicellular organisms. The surface area to volume ratio (SA/V) is related to cell growth and replication. Imagine a cell that has just completed cytokinesis at time 0 . It then continues to grow from timeline 0-200 mins after which it enters the mitotic phase of the cell cycle. At time 300 mins , it undergoes cytokinesis again.
Which of the following graphs depict the change in the SA/V ratio of the cell from time 0-300 mins?
C A. A B. B C. C D. D

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Problem 8314

Question 3 (2 points) Frank owns a car dealership, and he is trying to understand how much more in margin(\ $) he makes from the average electric car compared to a regular car. Accordingly, he knows that his average cost of acquiring a regular car is$ \ $20,000$ , whereas his average cost of acquiring an electric vehicle is $\$ 28,000$ . He also knows that the markup(\%) on the regular car is $40 \%$ , whereas the margin(\%) of the electric vehicle is $30 \%$ . Based on this information, how much more in margin( $\$$ ) does Frank make when he sells an electric car compared to a regular car? $\$ 8000$ \ $12000 \$6000$ \ $4000$

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Problem 8315

mb A block of mass 3 m can move without friction on a horizontal table. This block is attached to another block of mass $m$ by a cord that passes over a frictionless pulley, as shown above. If the masses of the cord and the pulley are negligible, what is the magnitude of the acceleration of the descending block? (A) $g / 4$ (B) $g / 3$ (C) $2 g / 3$ (D) g

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Problem 8316

Question 4 (2 points) Happy Belly Restaurant solls to items: turkey sandwiches and hamburgers. The turkey sandwich accounts for $30 \%$ of their sales revenue, whereas the hamburger accounts for $70 \%$ of their sales revenue. Happy Belly also knows that the margin(\%) of the turkey sandwich is much higher than that of the hamburger: whereas the hamburger's margin(\%) is 20\%, the margin(\%) of the turkey sandwich is $50 \%$ .
Based on this information, Happy Belly wants to understand their break-even revenue. Given that their fixed operating costs per month is $\$ 58,000$ ; how much revenue should the company be making per month to break even? \$200,000 \$290,000 \$150,000 \$100,000

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Problem 8317

Question 6 (2 points) Saved
Eric has been producing and selling specialized sports gears for hockey through Amazon. The variable costs of his "Supreme Hockey Skates" is $\$ 700$ , which he sells at a $40 \%$ markup. This month, he is interested in clearing his inventory of the Supreme Hockey Skates to make space for a new product he wants to sell. So, he went on the Amazon website and reduced the price of the Supreme Hockey Skates by $40 \%$ . Before he noticed his mistake, he had already sold 20 units. What is the total amount of margin(\ $) he made from these transactions?$ \ $5600$ -\ $5600$ -\ $2240$ \$2240

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Problem 8318

Question 7 (2 points) SuGar Co. is run by Susan and Garry, who have been business partners for more than 20 years. Their specialty is to produce and sell solid wood tables. Last year, their costs to produce and sell the tables included raw materials ( $\$ 200$ per table), direct labour ( $\$ 100$ per table), and shipping ( $\$ 50$ per table). They then added a $60 \%$ margin to determine their price. Thisłyear, the cost of their raw materials increased by 50\%. Their other variable costs did not change. If they intend to keep their price (\ $) the same as before, what is their new margin(\%) rounded to the nearest percentage?$ 33 \%100 \% $75\%$ 49 \%$

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Problem 8319

Assume that the weights of ripe watermelons grown at a particular farm are normally distributed with a mean of 40 pounds and a standard deviation of 2.6 pounds. Deternine the percent of watermelons that weigh between 38.76 pounds and 45.87 pounds.
Click here to view page 1 of the standard normal distribution table. Click here to viewpage 2 of the standard normal distribution table. $b$ $\square$ \% (Round to two decimal places as needed.)
Area under a normal curve tô the left of z (page 1) \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|} \hline \multicolumn{11}{|l|}{Table of Areas to the Left of $z$ When $z$ Is Negative} \\ \hline $z$ & . 00 & .01 & . 02 & . 03 & . 04 & .05 & . 06 & .07 & . 08 & . 09 \\ \hline $-3.4$ & . 0003 & . 0003 & . 0003 & . 0003 & . 0003 & . 0003 & . 0003 & . 0003 & . 0003 & . 0002 \\ \hline -3.3 & . 0005 & . 0005 & . 0005 & . 0004 & . 0004 & . 0004 & . 0004 & . 0004 & . 0004 & . 0003 \\ \hline -3.2 & . 0007 & . 0007 & . 0006 & . 0006 & . 0006 & . 0006 & . 0006 & & . 0005 & .00007 \\ \hline -3.1 & . 0010 & . 0009 & . 0009 & . 0009 & 0008 & . 0008 & & . 00011 & . 0010 & . 0010 \\ \hline $-3.0$ & .0013 & . 0013 & . 0013 & . 0012 & .0012 & . 0011 & . 0015 & . 0015 & . 0014 & . 0014 \\ \hline $-2.9$ & . 0019 & . 0018 & . 0018 & .0017 .0023 .0032 & . 0016 & . 0022 & . 0021 & . 0021 & . 0020 & . 0019 \\ \hline -2.8 & . 0026 & .0025 & . 0024 & .0032 & . 0031 & . 0030 & . 0029 & . 0028 & .0027 & . 0026 \\ \hline -2.7 & .0035 & .0034 .0045 & . 0044 & . 0043 & . 0041 & . 0040 & . 0039 & . 0038 & . 0037 & . 0036 \\ \hline -2.6 & .0047 & .0045 .0060 & . 0059 & .0057 & . 0055 & . 0054 & . 0052 & . 0051 & . 0049 & . 0048 \\ \hline -2.5 -2.4 & .0062 & .0060 .0080 & . 0078 & . 0075 & . 0073 & . 0071 & . 0069 & . 0068 & . 0066 & .0064 \\ \hline -2.4 -2.3 & . 00107 & . 0104 & . 0102 & . 0099 & . 0096 & . 0094 & . 0091 & . 0089 & .0087 & .0084 \\ \hline $-2.2$ & . 0139 & . 0136 & . 0132 & . 0129 & . 0125 & .0122 & .0119 & .0150 & . 0146 & . 0143 \\ \hline $-2.1$ & .0179 & . 0174 & . 0170 & . 0166 & . 0162 & . 0202 & .0197 & . 0192 & . 0188 & . 0183 \\ \hline $-2.0$ & .0228 & .0222 & . 0217 & . 0212 & ,0207 & & . 0250 & . 0244 & . 0239 & . 0233 \\ \hline $-1.9$ & . 0287 & .0281 & . 0274 & .0268 & .0262 & .0322 & . 0314 & .0307 & . 0301 & . 0294 \\ \hline $-1.8$ & 0359 & .0351 & . 0344 & .0336 & (0329 & & & & & \\ \hline \end{tabular}
Area under a normal curve to the left of $z$ (page 2)
Table of Areas to the Left of $z$ When $z$ Is Positive

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Problem 8320

Question 8 (2 points) Yumco is a subscription-based meal plate producer and seller. Customers can only buy the meal plates if they subscribe to the weekly plan, which includes 7 dinner plates (i.e., 1 dinner plate for each day of the week). On average, each meal plate costs $\$ 5$ to produce. The total shipment cost of the weekly plan (which includes the 7 dinner plates) is $\$ 10$ . The price of the weekly subscription is $\$ 120$ . Based on this, what is the markup(\%) of the weekly subscription package, rounded to the nearest whole percentage? 133\% 167\% 233\% $147 \%$

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Problem 8321

Question Y (2 points) For the last year, Herlo Inc. has been selling their special starter Surfer Kit for $\$ 500.00$ , providing the store with a $40 \%$ contribution margin. This month, Herlo Inc. decided to have a special sales event. During this special sales event, Herlo will be selling the Surfer Kit for $\$ 400.00$ . Assuming that their variable costs remain the same, what is Herlo's contribution margin (\%) during the special sales event? 40\% 35\% 50\% 25\%

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Problem 8322

How long will it take for a $\$ 5000$ investment to grow to $\$ 6455$ at an annual rate of $9.4 \%$ , compounded quarterly? Assume that no withdrawals are made. Do not round any intermediate computations, and round your answer to the nearest hundredth.

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Problem 8323

$3 \mathrm{KOH}+\mathrm{H}_{3} \mathrm{PO}_{4} \rightarrow \mathrm{~K}_{3} \mathrm{PO}_{4}+3 \mathrm{H}_{2} \mathrm{O}$ how many grams of potassium phosphate, $\mathrm{K}_{3} \mathrm{PO}_{4}$ , are produced from 30.3 g of potassium hydroxide, KOH ? mass of potassium phosphate: $\square$

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Problem 8324

Question 12 of 13, Step 1 of 1 8/13 Correct
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations $y=\frac{4}{(x+4)^{2}}, x=0, x=12$ , and $y=0$ about the $y$ -axis. Write the exact answer. Do not round.
Answer Keyp Keyboard Short $V=\square$

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Problem 8325

A vehicle with a weight of 5400 N is moving at a speed of $70.0 \mathrm{~km} / \mathrm{h}$ . Determine its kinetic energy.
QUESTION 4.

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Problem 8326

The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of $6.1 \%$ per hour. How many hours does it take for the size of the sample to double? Note: This is a continuous exponential growth model. Do not round any intermediate computations, and round your answer to the nearest hundredth.

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Problem 8327

For the statement below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim. A laptop manufacturer claims that the mean life of the battery for a certain model of laptop is less than 5 hours.
Write the claim as a mathematical statement. A. $\mu>5$ B. $\mu \leq 5$ C. $\mu \geq 5$ D. $\mu<5$ E. $\mu \neq 5$ F. $\mu=5$
Choose the correct null and alternative hypotheses below. A. $H_{0}: \mu \neq 5$ B. $H_{0}: \mu=5$ C. $H_{0}: \mu \geq 5$ $H_{a}: \mu=5$ $H_{a}: \mu \neq 5$ $H_{a}: \mu<5$ D. $H_{0}: \mu \leq 5$ E. $H_{0}: \mu>5$ $H_{a}: \mu>5$ $H_{a}: \mu \leq 5$ F. $\mathrm{H}_{0}: \mu<5$ $H_{a}: \mu \geq 5$

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Problem 8328

Determine the number of grams of HCl needed to react with 2.99 g of $\mathrm{Al}(\mathrm{OH})_{3}$ . $\mathrm{Al}(\mathrm{OH})_{3}(\mathrm{~s})+3 \mathrm{HCl}(\mathrm{aq}) \rightarrow \mathrm{AlCl}_{3}(\mathrm{aq})+3 \mathrm{H}_{2} \mathrm{O}(\mathrm{l})$ starting amount $\qquad$ $\qquad$ $\qquad$ $\qquad$

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Problem 8329

You wish to test the claim that $\mu \leq 33$ at a level of significance of $\alpha=0.01$ and are given sample statistics $n=40$ and $\bar{x}=34.8$ . Assume the population standard deviation is 4.3. Compute the value of the standardized test statistic. Round your answer to two decimal places. A. 2.65 B. 1.96 C. 3.51 D. 2.12

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Problem 8330

Pierce works at a tutoring center on the weekends. At the center, they have a large calculator to use for demonstration purposes that is a scale model of calculators available for the students to use.
Each key on the student calculators is 18 millimeters wide, and each key on the demonstration calculator is 3.6 centimeters wide. If the student calculators are 255 millimeters tall, how tall is the demonstration calculator? A. 0.036 meter B. 51 meters C. 0.51 meter D. 9.18 meters Reset Next

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Problem 8331

The price of a certain object was $\$ 12.50$ in 1995 and $\$ 15.50$ in 2001. Assume that the price has been increasing at a constant rate since 1990.
Determine the rate of change in the price of the object, that is, how much the price increases each year. Do not round your answer. $\square$ Write an equation to model the price of the object over time, with $y$ representing the price of the object in dollars, and $x$ representing the number of years since 1990. Write your final answer in the form $y=m x+b$ . (You may use the point-slope form to help you find the equation.) $\square$ Looking at your equation, what was the price of the object in the year 1990? If necessary, round to your answer to two decimal places. \\square $How much does the object cost now, in 2024? \$$ \square$

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Problem 8332

A car traveling on cruise control on an interstate highway passes mile marker 100, 1.5 hours after getting on the highway. Then, 2.5 hours after getting on the highway, the same car passes mile marker 160.
What is the car's constant speed? $\square$ miles per hour Write a linear equation modeling the car's travels, with $y$ representing the mile marker the car will have passed after $x$ hours on the highway. Write your final answer in $y=m x+b$ form. (You may start from the point-slope form to find your equation.) $\square$

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Problem 8333

2. In a bowl, there are 3 peaches, 2 apples, 6 lemons, and 4 plums. If 1 piece of fruit to be selected at random, what is the probability it will be a lemon? A. $\frac{2}{15}$ B. $\frac{3}{15}$ C. $\frac{4}{15}$ D. $\frac{6}{15}$

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Problem 8334

$4 \mathrm{HCl}(\mathrm{~g})+\mathrm{O}_{2}(\mathrm{~g}) \rightarrow 2 \mathrm{Cl}_{2}(\mathrm{~g})+2 \mathrm{H}_{2} \mathrm{O}(\mathrm{~g})$
Calculate the number of grams of $\mathrm{Cl}_{2}$ formed when 0.225 mol HCl reacts with an excess of $\mathrm{O}_{2}$ . mass: $\square$ $\mathrm{g}$

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Problem 8335

Find the critical value(s) and rejection region(s) for the type of z-test with level of significance $\alpha$ . Include a graph with your answer. Two-tailed test, $\alpha=0.02$
The critical value(s) is/are $z=-2.33$ (Round to two decimal places as needed. Use a comma to separate answers as needed.)

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Problem 8336

6. Round 12.12 to the nearest tenth.

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Problem 8337

Example Write chemical equations showing the dissociation of $\mathrm{MgSO}_{4}(\mathrm{aq})$ and $\mathrm{Pb}\left(\mathrm{NO}_{3}\right)_{2}(\mathrm{aq})$ .

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Problem 8338

6. Fill in the blanks.
1 foot $=$ $\qquad$ inches
1 yard = $\qquad$ feet
1 hour = $\qquad$ minutes
1 day = $\qquad$ hours
1 year = $\qquad$ days
1 year = $\qquad$ weeks
1 dollar = $\qquad$ cents $=$ $\qquad$ dimes $=$ $\qquad$ quarters
1 gallon = $\qquad$ pints
1 gallon = $\qquad$ quarts
1 pound = $\qquad$ ounces

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Problem 8339

Points: 0 of 1
A certain flight arrives on time 90 percent of the time. Suppose 200 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 186 flights are on time. (b) at least 186 flights are on time. (c) fewer than 186 flights are on time. (d) between 186 and 192, inclusive are on time. (a) $P(186)=$ $\square$ (Round to four decimal places as needed.)

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Problem 8340

Choose the correct term to complete each sentence.
1. Addition and subtraction are examples of ? because they undo each other.
2. An equation that is true for every value of the variable is $\mathrm{a}(\mathrm{n})$ ?.
3. A ratio of two equivalent measures given in different units is a(n) $\qquad$
4. On a map, information such as " $1 \mathrm{in} .: 5 \mathrm{mi}$ " is the ? of the map.
5. In the proportion $\frac{a}{b}=\frac{c}{d}$ , $a d$ and $b c$ are the ?.

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Problem 8341

A bacteria culture initially contains 1500 bacteria and doubles every half hour. Find the size of the bacterial population after 100 minutes. $\square$ Find the size of the bacterial population after 10 hours. $\square$

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Problem 8342

5. If Jen puts $\$ 1,000$ in a savings account with an annual interest rate of $5 \%$ , how much interest will she earn in two years? A. $\$ 50$ B. $\$ 75$ C. $\$ 100$ D. $\$ 150$

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Problem 8343

Question 51 0/1 pt 3 18 Details
Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a mathematician, she suggests building fences described by $y=10 x^{2}$ and $y=x^{2}+4$ . Farmer Jones thinks this would be much hazder than just building an enclosure with straight sides, but he wants to please his wife. What is the area ofthe enclosed region?

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Problem 8344

The half-life of caffeine in the human body is about 6.4 hours. A cup of coffee has about 100 mg of caffeine. a. Write an equation for the amount of caffeine in a person's body after drinking a cup of coffee? Let $C$ be the milligrams of caffeine in the body after $t$ hours. $\square$ b. How much caffeine will remain after 10 hours? $\square$ mg c. How long until there are only 20 mg remaining? $\square$ hours

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Problem 8345

```latex A college has a total enrollment of 2445 students, and 469 of them are left-handed. Use the graph below to determine the probability that a survey of 50 students will find that 9 or fewer students are left-handed.
Use the graph below to calculate the probability that the sampling distribution will have a mean number of left-handed students less than or equal to 9:
1. Drag and move the blue dot to select the appropriate probability graph area from the four options on the left. (Note there are four graphs available to choose from. Only select between less than, greater than, and area between graphs.);
2. Use the Central Limit Theorem to find $\hat{p}$ and $\sigma_{\hat{p}}$ ;
3. Calculate the $z$ -score for $\hat{p}$ and move the slider along the $x$ -axis to the appropriate $z$ -score;
4. The purple area under the curve represents the probability of the event occurring. Interpret the purple area under the curve.
Remember, do not round any values or change fractions to approximated decimals during calculations. Only round $z$ -scores and final answers to two decimal places.
Move the blue dot to choose the configuration
The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.
Dialogue Transcript:
assistant: Hello! It seems like there's some information missing that's necessary to solve the problem. Specifically, it looks like there's a reference to a graph that's not included in the text. Could you please describe the graphs or provide more details about the options available for selecting the probability graph area? Once you provide that, I can help guide you through solving the problem step-by-step.
user: I uploaded an image and extracted the following: * Text: Provide your answer below: $p=$ $\square$ $\hat{p}=$ $\square$ $\sigma_{\hat{p}}=$ $\square$ $z=$ $\square$ $P(X \leq 9)=$ $\square$ ```

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Problem 8346

A simple random sample of size $n=200$ individuals who are currently employed is asked if they work at home at least once per week. Of the 200 employed individuals surveyed, 29 responded that they did work at home at least once per week. Construct a $99 \%$ confidence interval for the population proportion of employed individuals who work at home at least once per week.
The lower bound is 0.081 . (Round to three decimal places as needed.) The upper bound is $\square$ . (Round to three decimal places as needed.)

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Problem 8347

Casey is going to wear a gray sportcoat and is trying to decide what tie he should wear to work. In his closet, he has 21 ties, 12 of which he feels go well with the sportcoat. If Casey selects one tie at random, determine the probablity and the odds of the tie going well or not going well with the sportcoat.
The probability the tie goes well with the jacket is $\frac{4}{7}$ (Simplify your answer. Type an integer or a fraction.)
The probability the tie will not go well with the jacket is $\frac{3}{7}$ . (Simplify your answer. Type an integer or a fraction.)
The odds against the tie going well with the jacket is $3: 4$ . (Simplify your answer. Type a ratio using a colon.) The odds in favor of the tie going well with the jacket is $3: 4$ . (Simplify your answer. Type a ratio using a colon.)

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Problem 8348

8 Which of the following equations represents a line without a $y$ -intercept? (a) $y=4$ (b) $x=-4$ (c) $x+y=2$ (d) $y=3 x$

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Problem 8349

Carla Vista Corporation was organized on January 1,2027. It is authorized to issue 23,000 shares of $5 \%, \$ 50$ par value preferred stock and 458,000 shares of no-par common stock with a stated value of $\$ 2$ per share, The following stock transactions were completed during the frist year.
Jan. 10 Issued 69,000 shares of common stock for cash at $\$ 5$ per share. Mar. 1 Issued 11,400 shares of preferred stock for cash at $\$ 57$ per share. May 1 Issued 114,000 shares of common stock for cash at $\$ 8$ per share. Sept. 1 Issued 4,800 shares of common stock for cashat $\$ 4$ per share. Nov. 1 Issued 2,800 shares of preferred stock for cash at $\$ 55$ per share. (a)
Your Answer Correct Answer
Your answer is correct.
Prepare a tabular summary to record the transactions. (If a transoction couses a decrease In Assets, Liabivilies or Stochholders' Equity. place a negative sign (or parentheses) in front of the amount entered for the particular Asset, Uability or Equity item that was neduced.). eTextbook and Media Solution Attempts: 3 of 3 used (b)
Prepare the paid-tic capital portion of the stockholders equity section at December 31, 2027. CARLA vista corporation Partial Balance Sheet December 31, 2027 $\square$ $\square$ $\square$ $\square$ 3 $\square$ $\square$ $\square$ $\square$ $\square$

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Problem 8350

Write the sentence as an equation. the product of 189 and $h$ equals $m$
Type a slash ( / ) if you want to use a division sign. $\square$ Submit

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Problem 8351

A simplified economy involves just three commodity categories - agriculture, manufacturing, and transportation, all in appropriate units. Production of 1 unit of agriculture requires $1 / 2$ unit of manufacturing and $1 / 4$ unit of transportation; production of 1 unit of manufacturing requires $1 / 4$ unit of agriculture and $1 / 4$ unit of transportation; and production of 1 unit of transportation requires $1 / 5$ unit of agriculture and $1 / 4$ unit of manufacturing. If the demand is 622 units of each commodity, how many units of each commodity should be produced?

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Problem 8352

A simplified economy involves just three commodity categories - agriculture, manufacturing, and transportation, all in appropriate units. Production of 1 unit of agriculture requires $1 / 2$ unit of manufacturing and $1 / 4$ unit of transportation; production of 1 unit of manufacturing requires $1 / 4$ unit of agriculture and $1 / 4$ unit of transportation; and production of 1 unit of transportation requires $1 / 5$ unit of agriculture and $1 / 4$ unit of manufacturing. If the demand is 622 units of each commodity, how many units of each commodity should be produced?

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Problem 8353

pst-test Question 9, 11.3.11 HW Score: $38.75 \%, 7.75$ of 20 points Points: 0 of 1 Save
At the Royal Dragon Chinese restaurant, a slip in the fortune cookies indicates a dollar amount that will be subtracted from your total bill. A bag of 10 fortune cookies is given to you from which you will select one. If five fortune cookies contain " $\$ 1$ off," four contain "\ $3 off," and one contains "$ \ $7$ off," determine the expectation of a selection. $\square$ dollars off (Round to the nearest cent.)

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Problem 8354

2. (6 marks)
Suppose that a store offers gift certificates in denominations of $\$ 25$ and $\$ 40$ . Make a conjecture regarding the possible total amounts you can form using these gift certificates, and prove it using a proof by strong induction. Follow the proof structure given in class and summarized in Lab 9.

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Problem 8355

48 of 56 The population of Greenville increased by 7\% from 2015 to 2016. If the 2016 population is $k$ times the 2015 population, what is the value of $k$ ? A) 0.07 B) 0.7 C) 1.07 D) 1.7

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Problem 8356

a. At a meeting of the International Astronomical Society, 45\% of the attendees are females and $30 \%$ are teachers. Given that an attendee is a teacher, $55 \%$ are females. What is the probability that a randomly selected attendee is both a teacher and a female?

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Problem 8357

A bag contains four batteries, all of which are the same size and are equally likely to be selected. Each battery is a different brand. If you select three batteries at random, use the counting principle to determine how many points will be in the sample space if the batteries are selected a) with replacement. b) without replacement. a) With replacement
The size of the sample space is 64 sample points. b) Without replacement
The size of the sample space is $\square$ sample points.

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Problem 8358

16. One box has 27 jars of strawberry jam How many jars are in 82 boxes? 4.Nso.2.2 (A) 2,160 jars (B) 2,204 jars (C) 2,214 jars (D) 2,224 jars

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Problem 8359

Question Find the area to the left of the $z$ -score -1.35 under the standard normal curve. \begin{tabular}{c|ccccccccccc} z & $\mathbf{0 . 0 0}$ & $\mathbf{0 . 0 1}$ & $\mathbf{0 . 0 2}$ & $\mathbf{0 . 0 3}$ & $\mathbf{0 . 0 4}$ & $\mathbf{0 . 0 5}$ & $\mathbf{0 . 0 6}$ & $\mathbf{0 . 0 7}$ & $\mathbf{0 . 0 8}$ & $\mathbf{0 . 0 9}$ \\ \hline $\mathbf{- 1 . 5}$ & 0.0668 & 0.0655 & 0.0643 & 0.0630 & 0.0618 & 0.0606 & 0.0594 & 0.0582 & 0.0571 & 0.0559 \\ $-\mathbf{1 . 4}$ & 0.0808 & 0.0793 & 0.0778 & 0.0764 & 0.0749 & 0.0735 & 0.0721 & 0.0708 & 0.0694 & 0.0681 \\ $\mathbf{- 1 . 3}$ & 0.0968 & 0.0951 & 0.0934 & 0.0918 & 0.0901 & 0.0885 & 0.0869 & 0.0853 & 0.0838 & 0.0823 \\ $\mathbf{- 1 . 2}$ & 0.1151 & 0.1131 & 0.1112 & 0.1093 & 0.1075 & 0.1056 & 0.1038 & 0.1020 & 0.1003 & 0.0985 \\ $\mathbf{- 1 . 1}$ & 0.1357 & 0.1335 & 0.1314 & 0.1292 & 0.1271 & 0.1251 & 0.1230 & 0.1210 & 0.1190 & 0.1170 \end{tabular}
Use the value(s) from the table above.
Provide your answer below:

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Problem 8360

27. A factory makes 132 laptops each day. How many laptops does the factory make in 45 days? 4.Nso.2.2

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Problem 8361

Gabrielle knows that a fir tree that is 8 feet tall casts a shadow that is 15 feet long. She wants to calculate the height of a nearby plum tree. If its shadow is 30 feet long, how tall is the plum tree?
Write your answer as a whole number or a decimal. Do not round. 新 $\square$ feet Submit

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Problem 8362

[*].] An ash tree is 9 meters tall and its shadow is 12 meters long. A nearby lemon tree is 6 meters tall. How long is the lemon tree's shadow? ） Write your answer as a whole number or a decimal. Do not round. \& $\square$ meters Submit

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Problem 8363

The number of square feet per house have an unknown distribution with mean 1670 and standard deviation 140 square feet. A sample, with size $n=48$ , is randomly drawn from the population and the values are added together. Using the Central Limit Theorem for Sums, what is the mean for the sample sum distribution?
Provide your answer below: $\square$ square feet

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Problem 8364

Question In a town, a pediatric nurse is concerned about the number of children who have whooping cough during the winter season. Of the 3,492 children living in a town, 623 of them have whooping cough.
Determine the probability that in a sample of 33 children, 7 or fewer of them have whooping cough. Remember, do not round any values or change fractions to approximated decimals during calculations. Only round the calculated $z$ -score to two places and all other final answers to three places.
Use the $z$ -table below: \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|} \hline $z$ & 0.00 & 0.01 & 0.02 & 0.03 & 0.04 & 0.05 & 0.06 & 0.07 & 0.08 & 0.09 \\ \hline 0.0 & 0.500 & 0.504 & 0.508 & 0.512 & 0.516 & 0.520 & 0.524 & 0.528 & 0.532 & 0.536 \\ \hline 0.1 & 0.540 & 0.544 & 0.548 & 0.552 & 0.556 & 0.560 & 0.564 & 0.567 & 0.571 & 0.575 \\ \hline 0.2 & 0.579 & 0.583 & 0.587 & 0.591 & 0.595 & 0.599 & 0.603 & 0.606 & 0.610 & 0.614 \\ \hline 0.3 & 0.618 & 0.622 & 0.626 & 0.629 & 0.633 & 0.637 & 0.641 & 0.644 & 0.648 & 0.652 \\ \hline 0.4 & 0.655 & 0.659 & 0.663 & 0.666 & 0.670 & 0.674 & 0.677 & 0.681 & 0.684 & 0.688 \\ \hline 0.5 & 0.691 & 0.695 & 0.698 & 0.702 & 0.705 & 0.709 & 0.712 & 0.716 & 0.719 & 0.722 \\ \hline 0.6 & 0.726 & 0.729 & 0.732 & 0.736 & 0.739 & 0.742 & 0.745 & 0.749 & 0.752 & 0.755 \\ \hline 0.7 & 0.758 & 0.761 & 0.764 & 0.767 & 0.770 & 0.773 & 0.776 & 0.779 & 0.782 & 0.785 \\ \hline \end{tabular}
Provide your answer below:

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Problem 8365

\begin{enumerate} \item Randomly select a sample of 30 from the class survey dataset (include your sample data with your response). \item Compute the mean and standard deviation for the sample. \item Determine the distribution shape of your sample (include the graphical display in your response). \item Using the $95\%$ confidence level, construct the confidence interval to estimate the mean of the population. \item Based on the confidence interval you've constructed, what is the Margin of Error of your estimate? \item How large of a sample would you need for the margin of error to be reduced to half its original value? \item Using the entire dataset, compute the mean for the population. \item How does the point estimate based on your sample data compare to the mean of the population? \end{enumerate}
\textbf{Frequency Distribution of Work Hours:}
\begin{itemize} \item Frequency 42: [0,10) \item Frequency 20: [10,20) \item Frequency 35: [20,30) \item Frequency 52: [30,40) \item Frequency 51: [40,50) \item Frequency 7: [50,60) \item Frequency 7: [60,70) \item Frequency 1: [70,80) \item Frequency 2: [80,90) \item Frequency 1: [90,100) \end{itemize}

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Problem 8366

b. Explain the meaning of the coordinates of the vertex for this model. Choose the correct explanation belo A. The ball reaches its maximum speed of 44.4 meters per second in 3 seconds. B. The ball reaches its maximum height of 49.6 meters in 2 seconds. C. The ball reaches its maximum height of 2 meters in 49.6 seconds. D. The ball hits the ground after 3 seconds at a speed of 44.4 meters per second.

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Problem 8367

According to a study, $40\%$ of people have more than \$10,000 in credit card debt. Suppose that for a particular credit card company, 60 of its customers are currently online making a payment.
Use the graph below to calculate the probability that of those 60 customers, between 21 and 23 of them have more than \ $10,000 in credit card debt.<br />1. Drag and move the blue dot to select the appropriate probability graph area from the four options on the left. (Note there are four graphs available to choose from. Only select between less than, greater than, and area between graphs.)<br />2. Use the Central Limit Theorem to find$ \hat{p} $and$ \sigma_{\hat{p}} $.<br />3. Calculate the$ z $-score for$ \hat{p} $and move the slider along the$ x $-axis to the appropriate$ z$-score.
4. The purple area under the curve represents the probability of the event occurring. Interpret the purple area under the curve.
Remember, do not round any values or change fractions to approximated decimals during calculations. Only round the calculated $z$ -score to two places and all other final answers to three decimal places.
Move the blue dot to choose the configuration
The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.
Dialogue Transcript:
assistant: Hi there! It looks like you have a probability problem involving the Central Limit Theorem and calculating $z$ -scores. However, we need a bit more information to fully help you solve it.
Could you let us know which specific graph or configuration you are looking to calculate with? Also, it would be helpful to have the graph or any numerical values that might be missing. This will allow us to proceed with the calculations for the probability that between 21 and 23 out of the 60 customers have more than $10,000 in credit card debt.
Once we have that information, we'll be able to guide you step-by-step to find the probability you're looking for!
user: I uploaded an image and extracted the following: * Text: $\begin{array}{l}\sigma_{p}=\square \\ P(21 \leq X \leq 23)=\end{array}$

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Problem 8368

Part 3 of 3 points 12 of 39 Points: 0 of 1 Save
At a community college, a survey was taken to determine where students study on campus. Of the 250 students surveyed, it was determined that
170 studied in the library. 136 studied in the cafeteria. 85 studied in both the library and the cafeteria. Complete parts a) through c). a) Of those students surveyed, how many studied only in the library?
85 (Type a whole number.) b) Of those students surveyed, how many studied only in the cafeteria?
51 (Type a whole number.) c) Of those students surveyed, how many did not study in either of these places? $\square$ (Type a whole number.)

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Problem 8369

$\text{Дан параллелепипед } A B C D A_{1} B_{1} C_{1} D_{1}, \text{ два противоположных основания которого, } A B C D \text{ и } A_{1} B_{1} C_{1} D_{1} \text{ являются квадратами со стороной } 12 \sqrt{2} \text{ см, а остальные грани прямоугольниками. Известно, что } C C_{1}=2 \sqrt{7} \text{ см. На стороне } A_{1} B_{1} \text{ отметили точку } M \text{ так, что } A_{1} M=M B_{1}.$ $\text{Найди периметр сечения параллелепипеда плоскостью } AMC.$

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Problem 8370

At a financial services company, the mean percent allocation for bonds in a retirement portfolio is 26.9 percent with a population standard deviation of 3.6 percent. A random sample of 35 retirement plan participants was taken and the probability that the mean bond percent for the sample will be at least 28 percent was determined.
Was the probability a Left-tail, Right -tail or Interval Probability? What is the probability that the mean bond percent for the sample will be at least 28 percent? Select all that apply below.
Select the two correct answers that apply below.
You may use a calculator or the portion of the $z$ -table given below. Round your answer try three decimal places if necessary. \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|} \hline $z$ & 0.00 & 0.01 & 0.02 & 0.03 & 0.04 & 0.05 & 0.06 & 0.07 & 0.08 & 0.09 \\ \hline 1.6 & 0.945 & 0.946 & 0.947 & 0.948 & 0.949 & 0.951 & 0.952 & 0.953 & 0.954 & 0.954 \\ \hline 1.7 & 0.955 & 0.956 & 0.957 & 0.958 & 0.959 & 0.960 & 0.961 & 0.962 & 0.962 & 0.963 \\ \hline 1.8 & 0.964 & 0.965 & 0.966 & 0.966 & 0.967 & 0.968 & 0.969 & 0.969 & 0.970 & 0.971 \\ \hline 1.9 & 0.971 & 0.972 & 0.973 & 0.973 & 0.974 & 0.974 & 0.975 & 0.976 & 0.976 & 0.977 \\ \hline 2.0 & 0.977 & 0.978 & 0.978 & 0.979 & 0.979 & 0.980 & 0.980 & 0.981 & 0.981 & 0.982 \\ \hline 2.1 & 0.982 & 0.983 & 0.983 & 0.983 & 0.984 & 0.984 & 0.985 & 0.985 & 0.985 & 0.986 \\ \hline 2.2 & 0.986 & 0.986 & 0.987 & 0.987 & 0.987 & 0.988 & 0.988 & 0.988 & 0.989 & 0.989 \\ \hline \end{tabular}
Select all that apply: Left- Tail Right-Tail Interval $P(\bar{x}>28)=0.035$

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Problem 8371

Дан прямоугольный параллелепипед $A B C D A_{1} B_{1} C_{1} D_{1}$ , у которого известны длины ребер: $A B=8, A D=7$ и $A A_{1}=24$ .
Определите площадь сечения параллелепипеда плоскостью $A B C_{1}$ .
Введите целое число или десятичную дробь...
Определите периметр сечения параллелепипеда плоскостью $A B C_{1}$ .
Введите целое число или десятичную дробь...

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Problem 8372

(I) In pedaling a bicycle uphill, a cyclist exerts a downward force of 420 N during each stroke. If the diameter of the circle traced by each pedal is 36 cm , calculate how much work is done in each stroke.

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Problem 8373

1. A government bureau claims that more than $50 \%$ of U.S. tax returns were filed electronically last year. A random sample of 150 tax returns for last year contained 86 that were filed electronically. Test the claim at $\alpha=0.05$ significance level by comparing the calculated $z$ -score to the critical $z$ -score and by comparing the p -value to the level of significance. a) State the null and alternative hypothesis. b) Calculate the critical value. c) Calculate the test statistic. d) Calculate the $p$ -value and compare it with the significance level. e) Can we reject the null hypothesis?

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Problem 8374

What is $\frac{1}{8}$ of $16 ?$

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Problem 8375

Exercice 01 : Detx points $A$ et $B$ , ont pour coordonnées cartésiennes dans l'espace : $A(2,3,-3), B(5,7,2)$ Déterminer les composantes du vecteur $\overrightarrow{A B}$ ainsi que son module, sa direction et son sens.

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Problem 8376

Exercice 01 : Detx points $A$ et $B$ , ont pour coordonnées cartésiennes dans l'espace : $A(2,3,-3), B(5,7,2)$ Déterminer les composantes du vecteur $\overrightarrow{A B}$ ainsi que son module, sa direction et son sens.

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Problem 8377

Exercice 02 : La résultante de deux forces $\vec{F}_{1}$ et $\vec{F}_{2}$ est égale à 50 N et fait un angle de $30^{\circ}$ avec la force $F_{1}=15 \mathrm{~N}$ . Trouver le module de la force $\vec{F}_{2}$ et l'angle entre les deux forces.

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Problem 8378

15. The mean length of six rods is $44 \cdot 2 \mathrm{~cm}$ . The mean length of five of them is 46 cm . How long is the sixth rod?

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Problem 8379

TEST YOURSELF: Consider a source population consisting of 1,000 adults. Assume that no subjects moved in or out of the population over the next 12 years, but there were some deaths. Among the 1,000 subjects, 990 remained alive and free of cancer from 2001 to 2012. Events in the other 10 subjects are depicted in the image below. Subjects $1,2,3$ , and 4 were known to have lung cancer in 2001. Dashed lines indicate the ongoing presence of lung cancer in living subjects (dashed lines), and deaths are indicated in the figure.
For this exercise answer the questions below as simple fractions showing the numerator and the denominator in order to make sure you understand prevalence. (Ordinarily, you would compute the decimal fraction and express in as, e.g., 7 per 1,000 population in 2007). Compute your own answers before looking at the correct answer.
Question 1: What was the prevalence of lung cancer in 2001? Answer:
Question 2: What was the prevalence of lung cancer in 2007? Answer:
Question 3: What was the prevalence of lung cancer in 2012? Answer

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Problem 8380

Given $(a, b, c, d)$ is a set of integers and all of them are greater than 6 . Find the number of solution $\operatorname{set}(\mathrm{s})$ of $a+b+c+d=50$ .

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Problem 8381

3. Хоёр тооны яи. .ихр 5-тай тэнцуу бөгөөд эдгээр тоонууд $\frac{1}{3}: \frac{1}{4}$ г. ларьцдаг бол бага тоог ол. A. 20 B. 16 C. 24 D. 18 E. 15

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Problem 8382

The displacement of a particle over time $t$ seconds is given by $x=2 e^{4 t} \mathrm{~m}$ . What is the initial displacement?

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Problem 8383

A. $\frac{9}{11}$ B. $\frac{11}{9}$
9. $a: b: c: d=2: 3: 4: 7$ бол $\frac{2 a+3 b}{5 c-d}=$ ?

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Problem 8384

A. 101.25 B. 42 C. 110.25
3. Хоёр тооны ялгавар 5-тай тэнцүү бөгөөд эдгээр тоонууд $\frac{1}{3}: \frac{1}{4}$ гэж харьцдаг бол бага тоог ол. D. 18 E. 15 A. 20 B. 16 C. 24 C. 2 D. 1 E. 1.5

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Problem 8385

1. Машины үйлдвэр A, В, С, D загваруудыг $7: 5: 3: 1$ харьцаатайгаар үйлдвэрлэдэг. Үйлдвэрлэсэн 48000 машины хэд нь С загварынх байх вэ? A. 15000 E. 9000 C. 21000 D. 3000 E. 6000

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Problem 8386

1. Машины үйлдвэр A, B, C, D загваруудыг $7: 5: 3: 1$ харьцаатайгаар үйлдвэрлэдэг. Үйлдвэрлэсэн 48000 машины хэд нь С загварынх байх вэ? A 15000 B. 9000 C. 21000 D. 3000 E. 6000

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Problem 8387

The number 0.011 approximates the number 0.01 to Select one: a. 3 significant digits b. 2 significant digits c. -2 significant digits d. 1 significant digit e. 0 significant digit

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Problem 8388

14- the output current in the circuit contains dc source, L load with switch is closed at $t=0$ is a- Rise exponential b- Rise linearly c-Equal constant d-Rise linearly with forced component 15-The extinction angle of controlled rectifier with $r$ load circuit a-Sometimes equal zero degree b-Sometimes equal 180 degrees c-All times equal zero degree d-All times equal 180 degrees 16-If the maximum output voltage of r load circuit in the half-wave controlled rectifier with transformer supplied from Jordan electric city company is 63 v , the V 2 of transformer is $\mathrm{a}-140 \mathrm{v}$ b-63 v $\mathrm{c}-70 \mathrm{v}$ d-46.66 v 17 -the power of the load is 20000 watt with 220 v nominal voltage is connected with the single-phase source in Jordan with 16 ampere a-the source is damaged b-the load is worked well c-the load is damaged d-the load and the source are damaged 18 -If the van is reference of the three phase system so that the vab is a- leaded the van by 60 degree b-leaded the van by 30 degree c-lagged the van by 30 degree d-lagged the van by 60 degree 19 -the on-resistance is one of the semi- power devices parameters is selected with 3.-maximum ohm b-zero ohm c -minimum ohm d-infinity ohms 20-Forced component of re load in the circuit with ac source, diode and switch after is closed is a-( $\sqrt{2} \mathrm{~V} / \mathrm{Z}) \operatorname{Sin}\left(\mathrm{Cl}^{\mathrm{t}}-\theta\right)$ $\mathrm{b}-(\sqrt{2} \mathrm{Vm} / \mathrm{Z}) \operatorname{Sin}(\omega \mathrm{t}+\Theta)$ $c-(\sqrt{ } 2 \mathrm{~V} / \mathrm{r}) \operatorname{Sin}(\omega \mathrm{t}+\Theta)$ d- $(\sqrt{2} 2 \mathrm{~V} / \mathrm{Z}) \operatorname{Sin}\left(\omega^{2} t+\Theta\right)$ Question2: (10marks) Compare between the one pulse and two pulses controlled rectifier. Support your answer with curves, relations and circuit 3

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Problem 8389

DEPARTMEN: OF M in ( 7 PO
UESTIONS 1-7: In the following 7 QUESTIONS, choose the correct answers Q1) What is the slope of a line which passes through the points $(-4,3)$ and $(-2,-5)$ ? A) 1 B) -4 C) 4 D) $-\frac{1}{3}$ 22) The equation of a line passes through the point $(2,0)$ and has a slope of -5 is A) $y=5 x+10$ B) $y=-5 x+10$ C) $y=-5 x-10$ D) $y=-5 x$ 3) The $y$ -intercept of a line $4 x-2 y+8=0$ is A) 2 B) 4 C) -2 D) 8 4) A system of two linear equations has only one solution if its equations have A) the same slope B) different slope B) the same $x$ -intercept D) the same y-intercept 5) Which of the following linear systems has no solution? A) $y=4 x-5, \quad y=-\frac{1}{4} x+5$ B) $y+4 x=-2, \quad y=-4 x+5$ C) $y+4 x=-2, \quad 2 y+8 x=-4$ D) None of the above
Solve the linear system: $\quad 2 x-y=6, \quad-x+3 y=2$ $x=1, y=2$ B) $x=4, y=2$ C) $x=2, y=2$ D) $x=2, y=4$
The following diagram shows the demand (D) and supply (S) lines for a product. he equilibrium quantity for this product? B) 30

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Problem 8390

Впишите правильный ответ. Сторона равностороннего треугольника равна $8 \sqrt{3}$ . Найдите радиус окружности, описанной около этого треугольника.

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Problem 8391

4. $a$ ve $b$ birbirinden farklı rakam glmak üzere, $\sqrt{0, a b}$ ifadesi bir rasyonel sayı olduğuna göre, $a-b$ işleminin sonucunun alabileceği kaç farklı değer vardır? A) 6 B) 7 C) 8 D) 9

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Problem 8392

Explain the difference between an absolute minimum and a local minimum. A function $f$ has an absolute minimum at $x=c$ if $f(c)$ is the smallest function value on the entire domain of $f$ , whereas $f$ has a local $\mathbf{m}$ There is no difference. A function $f$ has an absolute minimum at $x=c$ if $f(c)$ is the largest function value on the entire domain of $f$ , whereas $f$ has a local min A function $f$ has an absolute minimum at $x=c$ if $f(c)$ is the smallest function value when $x$ is near $c$ , whereas $f$ has a local minimum A function $f$ has an absolute minimum at $x=c$ if $f(c$ is the largest function value when $x$ is near $c$ , whereas $f$ has a local minimum at

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Problem 8393

QUESTION 3 - 1 POINT The number of square feet per house have an unknown distribution with mean 1710 and standard deviation 179 square feet. A sample, with size $n=54$ , was randomly drawn from the population. Using the Central Limit Theorem for Means, what is the mean for the sample mean distribution?
Give just a number for your answer.
Provide your answer below:

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Problem 8394

year 3 ? 2) A machine is, purchased af $\mathrm{P} 10,200$ with an expected salvage value of P1,200 at the end of it $\$$ economic life of 8 years. If money is worth 6\% per annum, determine the book value of the machine at the end of 4 years using double declining balance method.

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Problem 8395

Find the slope-intercept equation of the line that has the given characteristics. Slope 9.5 and $y$ -intercept $(0,-5)$
The slope-intercept equation $y=$ $\square$ (Use integers or decimals for any numbers in the expression.)

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Problem 8396

42. До гіперболи належить $M_{0}(-5,3)$ , а ексцентриситет гіперболи дорівнює $\sqrt{2}$ . Скласти канонічне рівняння гіперболи та побудувати ії.
43. Скласти рівняння і побудувати гіперболу, якщо вона має асимптоти $y= \pm \frac{2}{3} x$ і їй належить точка $M_{1}(9 / 2,-1)$ .

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Problem 8397

Q1: Suppose Jawwal has debt with a book (face) value of $\$ 10$ million, trading at $95 \%$ of face value. It also has book equity of $\$ 10$ million, and 1 million shares of common stock trading at $\$ 30$ per share. What weights should Kenai use in calculating its WACC

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Problem 8398

A bag contains 5 blue, 4 green and 2 purple counters. One counter is picked at random. What is the probability that the counter is green or blue? Give your answer as a fraction.

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Problem 8399

SAT scores: Assume that in a given year the mean mathematics SAT score was 524, and the standard deviation was 118. A sample of 66 scores is chosen. Use the TI-84 Plus calculator.
Part: $0 / 5$ $\square$
Part 1 of 5 (a) What is the probability that the sample mean score is less than 509? Round the answer to at least four decimal places.
The probability that the sample mean score is less than 509 is $\square$ .

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Problem 8400

3. Setiap tahun,SMA pelita bangsa selalu mengadakan pentas sell. Sebelum acara akbar, para siswamengadakan pilihan ketua, sekretaris, dan bendahara. Setelah melakukan seleksi, ada 5 orang siswa yang mendaftarkan diri. Banyak cara untuk memilih ketua, sekretaris dan bendahara untuk cara tersebut adalah... "HEBAT"?

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1 ...81 82 83 84 85 86 87 ...122

Word Problem

Problem 8301

Problem 8302

Problem 8303

How much should be invested now at an interest rate of 6%6 \%6% per year, compounded continuously, to have $2000\$ 2000$2000 in five years? Do not round any intermediate computations, and round your answer to the nearest cent.

Problem 8304

Problem 8305

Problem 8306

Problem 8307

34. On the grid below, draw a three-sided figure with two equal sides and one right angle

Problem 8308

35. The pictograph below shows the favourite games played by students in a class. SagIf 16 of the students are girls, how many are boys?

Problem 8309

Problem 8310

Carlos has a part-time job at an ice skating rink selling hot cocoa. He decided to plot the number of hot cocoas he sold relative to the day's high temperature and then draw the line of best fit. What does the slope of the line represent?

Problem 8311

Problem 8312

a) Si le périmètre d'un carré est de 20 hm , quelle est la mesure d'un de ses côtés?

Problem 8313

Problem 8314

Problem 8315

Problem 8316

Problem 8317

Problem 8318

Problem 8319

Problem 8320

Problem 8321

Problem 8322

How long will it take for a $5000\$ 5000$5000 investment to grow to $6455\$ 6455$6455 at an annual rate of 9.4%9.4 \%9.4%, compounded quarterly? Assume that no withdrawals are made. Do not round any intermediate computations, and round your answer to the nearest hundredth.

Problem 8323

Problem 8324

Problem 8325

A vehicle with a weight of 5400 N is moving at a speed of 70.0 km/h70.0 \mathrm{~km} / \mathrm{h}70.0 km/h. Determine its kinetic energy.QUESTION 4.

Problem 8326

Problem 8327

Problem 8328

Problem 8329

Problem 8330

Problem 8331

Problem 8332

Problem 8333

2. In a bowl, there are 3 peaches, 2 apples, 6 lemons, and 4 plums. If 1 piece of fruit to be selected at random, what is the probability it will be a lemon? A. 215\frac{2}{15}152​ B. 315\frac{3}{15}153​ C. 415\frac{4}{15}154​ D. 615\frac{6}{15}156​

Problem 8334

Problem 8335

Problem 8336

6. Round 12.12 to the nearest tenth.

Problem 8337

Example Write chemical equations showing the dissociation of MgSO4(aq)\mathrm{MgSO}_{4}(\mathrm{aq})MgSO4​(aq) and Pb(NO3)2(aq)\mathrm{Pb}\left(\mathrm{NO}_{3}\right)_{2}(\mathrm{aq})Pb(NO3​)2​(aq).

Problem 8338

6. Fill in the blanks.1 foot === \qquad inches1 yard = \qquad feet1 hour = \qquad minutes1 day = \qquad hours1 year = \qquad days1 year = \qquad weeks1 dollar = \qquad cents === \qquad dimes === \qquad quarters1 gallon = \qquad pints1 gallon = \qquad quarts1 pound = \qquad ounces

Problem 8339

Problem 8340

Problem 8341

A bacteria culture initially contains 1500 bacteria and doubles every half hour. Find the size of the bacterial population after 100 minutes. □\square□ Find the size of the bacterial population after 10 hours. □\square□

Problem 8342

5. If Jen puts $1,000\$ 1,000$1,000 in a savings account with an annual interest rate of 5%5 \%5%, how much interest will she earn in two years? A. $50\$ 50$50 B. $75\$ 75$75 C. $100\$ 100$100 D. $150\$ 150$150

Problem 8343

Problem 8344

Problem 8345

Problem 8346

Problem 8347

Problem 8348

8 Which of the following equations represents a line without a yyy-intercept? (a) y=4y=4y=4 (b) x=−4x=-4x=−4 (c) x+y=2x+y=2x+y=2 (d) y=3xy=3 xy=3x

Problem 8349

Problem 8350

Write the sentence as an equation. the product of 189 and hhh equals mmmType a slash ( / ) if you want to use a division sign. □\square□ Submit

Problem 8351

Problem 8352

Problem 8353

Problem 8354

Problem 8355

48 of 56 The population of Greenville increased by 7\% from 2015 to 2016. If the 2016 population is kkk times the 2015 population, what is the value of kkk ? A) 0.07 B) 0.7 C) 1.07 D) 1.7

Problem 8356

a. At a meeting of the International Astronomical Society, 45\% of the attendees are females and 30%30 \%30% are teachers. Given that an attendee is a teacher, 55%55 \%55% are females. What is the probability that a randomly selected attendee is both a teacher and a female?

Problem 8357

Problem 8358

16. One box has 27 jars of strawberry jam How many jars are in 82 boxes? 4.Nso.2.2 (A) 2,160 jars (B) 2,204 jars (C) 2,214 jars (D) 2,224 jars

Problem 8359

Problem 8360

27. A factory makes 132 laptops each day. How many laptops does the factory make in 45 days? 4.Nso.2.2

How much should be invested now at an interest rate of $6 \%$ per year, compounded continuously, to have $\$ 2000$ in five years? Do not round any intermediate computations, and round your answer to the nearest cent.

35. The pictograph below shows the favourite games played by students in a class. Sag
If 16 of the students are girls, how many are boys?

How long will it take for a $\$ 5000$ investment to grow to $\$ 6455$ at an annual rate of $9.4 \%$ , compounded quarterly? Assume that no withdrawals are made. Do not round any intermediate computations, and round your answer to the nearest hundredth.

A vehicle with a weight of 5400 N is moving at a speed of $70.0 \mathrm{~km} / \mathrm{h}$ . Determine its kinetic energy.
QUESTION 4.

2. In a bowl, there are 3 peaches, 2 apples, 6 lemons, and 4 plums. If 1 piece of fruit to be selected at random, what is the probability it will be a lemon? A. $\frac{2}{15}$ B. $\frac{3}{15}$ C. $\frac{4}{15}$ D. $\frac{6}{15}$

Example Write chemical equations showing the dissociation of $\mathrm{MgSO}_{4}(\mathrm{aq})$ and $\mathrm{Pb}\left(\mathrm{NO}_{3}\right)_{2}(\mathrm{aq})$ .

A bacteria culture initially contains 1500 bacteria and doubles every half hour. Find the size of the bacterial population after 100 minutes. $\square$ Find the size of the bacterial population after 10 hours. $\square$

5. If Jen puts $\$ 1,000$ in a savings account with an annual interest rate of $5 \%$ , how much interest will she earn in two years? A. $\$ 50$ B. $\$ 75$ C. $\$ 100$ D. $\$ 150$

8 Which of the following equations represents a line without a $y$ -intercept? (a) $y=4$ (b) $x=-4$ (c) $x+y=2$ (d) $y=3 x$

Write the sentence as an equation. the product of 189 and $h$ equals $m$
Type a slash ( / ) if you want to use a division sign. $\square$ Submit

48 of 56 The population of Greenville increased by 7\% from 2015 to 2016. If the 2016 population is $k$ times the 2015 population, what is the value of $k$ ? A) 0.07 B) 0.7 C) 1.07 D) 1.7

a. At a meeting of the International Astronomical Society, 45\% of the attendees are females and $30 \%$ are teachers. Given that an attendee is a teacher, $55 \%$ are females. What is the probability that a randomly selected attendee is both a teacher and a female?

Gabrielle knows that a fir tree that is 8 feet tall casts a shadow that is 15 feet long. She wants to calculate the height of a nearby plum tree. If its shadow is 30 feet long, how tall is the plum tree?
Write your answer as a whole number or a decimal. Do not round. 新 $\square$ feet Submit

[*].] An ash tree is 9 meters tall and its shadow is 12 meters long. A nearby lemon tree is 6 meters tall. How long is the lemon tree's shadow? ） Write your answer as a whole number or a decimal. Do not round. \& $\square$ meters Submit

What is $\frac{1}{8}$ of $16 ?$