Given a survey, if the price of Apple computers is \$1,200, calculate total consumer surplus for four consumers. Choices: \$345, \$415, \$380, \$5,145.
Find the standard form of the equation of the hyperbola satisfying the given conditions.
Foci at (0,−2) and (0,2); vertices at (0,1) and (0,−1)
The equation is
11 Gracie has a piece of wood that is 5 feet long to use for two projects. She uses a piece of the wood that is 2 feet long on her first project. Which statement describes how a number line can be used to find the length of wood Gracie has remaining for her second project?
(A) Start at 5 and move 2 units left.
(B) Start at 5 and move 2 units right.
(C) Start at 2 and move 5 units left.
(D) Start at 2 and move 5 units right.
A shop tech earns a base pay of $19.48 per hour, plus "time-and-a-half" for overtime (time exceeding 40 hours). If he works 43.5 hours during a particular week, what is his gross pay? The gross pay is $□
3.6.AP-4 Gil borrows $8,000 for college expenses. He will pay a total of $10,280 after 6 years. Gil says the interest rate is at least 5%. Is he correct? Explain. Gil is □ He will pay \\squareininterest,whichcorrespondstoaninterestrateof\square$ \%.
(Type integers or decimals.)
Use the standard reaction enthalpies given below to determine ΔHrxn∘ for the following reaction:
2S(s)+3O2(g)→2SO3(g)ΔHrxn∘=?
Given:
SO2(g)→S(s)+O2(g)ΔHrxn∘=+296.8 kJ
2SO2(g)+O2(g)→2SO3(g)ΔHrxn∘=−197.8 kJ
-692.4 kJ
-791.4 kJ
-494.6 kJ
-293.0 kJ
1583 kJ
Comparing Speeds Arnie's Airplane Distance (mi)
10
8
6
4
2 Time (min)
2 4 6 8 10 Find each slope from the graph and table to compare the constant speeds of the two airplanes. What is the constant speed (slope) of Arnie's airplane? What is the constant speed (slope) of Bernie's biplane? Who flew faster? Bernie's Biplane
Time (min) (x) | Distance (mi) (y)
------- | --------
3 | 21
5 | 35
8 | 56 Intro
Done
Perform the indicated operation
[6−5−6−462]⋅⎣⎡0−54−666⎦⎤
If the operation is undefined, leave the matrix blank.
This operation is defined undefined
5 An election campaign organizer bought 20,000 buttons to hand out for a candidate. The organizer handed out 14,000 of the buttons before receiving the next shipment of 15,500 buttons. On the day of the election, the organizer handed out another 18,250 buttons. How many buttons were left after the election?
Use differentials to estimate the value of 41.2. Compare the answer to the value of 41.2 found using a calculator. Round your answers to six decimal places, if required. You can use a calculator, spreadsheet, browser, etc. to calculate the value.
estimate using differentials =□
value found using a calculator =□
According to a study on teenage shopping behavior, it was found that 75% of female teens regularly shop in stores rather than shopping online. If a group of 6 female teenagers are selected at random, what is the probability that at least 3 of them regularly do their shopping in stores? (Round your answer to four decimal places.)
Celine's Cereal Company is launching a new brand of cereal and she is considering two different sizes for the base of the boxes. Box 1: The length is 3 times the width.
Box 2: The length is 1 less than 4 times the width. The dimensions of the base of Box 1 are:
* width: x; length: 3
width: x; length: x+3
width: x; length: x−3
width: x; length: 3x
RETRY
Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graphs of the equations about the given lines.
x1/2+y1/2=a1/2x=0y=0
(a) the x-axis
□
(b) the y-axis
□
(c) the line x=a□
Joe and Sarah have been making regular monthly payments of $1264.14 on their 30-year, $200,000 mortgage at 6.5% annual interest. After 11 payments, their principal is $197,956.38. To the nearest cent, how much of their next payment will go to pay interest? A. $1327.34
B. $1237.95
C. $1251.01
D. $1072.26
Find the area of a circle with radius 7 yd.
Use the value 3.14 for π, and do not round your answer.
Be sure to include the correct unit in your answer.
7 yd
Which of the following quadrilaterals always
have diagonals congruent? Check all that
apply.
a. Parallelograms
b. Rectangles
c. Rhombi
d. Squares
e. Isosceles Trapezoids.
The height a fluid will rise in a capillary tube is given as:
H=ρgr2σ The fluid being tested has a specific gravity of 0.87[−].
Use the graph shown to determine the surface tension ( σ ) of the fluid used in this experiment, in units of kilograms per second squared [s2kg].
Emily made blueberry muffins for her scout troop's bake sale. For her first batch, she used 1 cup of blueberries and 2 cups of oats. She didn't think that would make enough muffins, so she made a larger second batch with 3 cups of blueberries and 6 cups of oats. When she tod the last tray out of the oven, her little brother asked if he could have a muffin with lots of blueberries as a snack. Which batch had a greater ratio of blueberries to oats? The first batch had the greater ratio. The second batch had the greater ratio. Neither. The batches had the same ratio.
If the balloon in the video had an initial volume of 5.0 L at room temperature (20.0∘C), then what would be the volume of the balloon after it was placed in liquid nitrogen with a temperature of −196∘C ?
a. 49 L
b. 2.0 L
c. 4.6 L
d. 1.3 L
e. 19 L
Find the equation of the parabola described below. Find the two points that define the latus rectum, and graph the equation.
focus at (0,4), vertex at (0,0) The equation of the parabola with vertex (0,0) and focus (0,4) is .
□
(Use integers or fractions for any numbers in the equation.)
The two points that define the latus rectum are □ .
(Type ordered pairs. Use a comma to separate answers as needed.)
Use the graphing tool to graph the parabola. Click to enlarge graph
The diameter, D, of a sphere is 7.6 mm. Calculate the sphere's volume, V.
Use the value 3.14 for π, and round your answer to the nearest tenth. (Do not round any intermediate computations.)
V= mm3
The graph of a function g is shown below.
Use the graph of the function to find its average rate of change from x=0 to x=2.
Simplify your answer as much as possible.
A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 45 pounds each, and the small boxes weigh 35 pounds each. There are 120 boxes in all. If the truck is carrying a total of 4900 pounds in boxes, how many of each type of box is it carrying?
Number of large boxes:
Number of small boxes:
parabola is given on the right. Match the ation. Choose the correct equation below.
A. (y+4)2=4(x+1)
B. (y+4)2=−4(x+1)
C. (x−1)2=4(y−4)
D. (y−4)2=−4(x−1)
E. (y−4)2=4(x−1)
F. (x−1)2=−4(y−4)
G. (x+1)2=−4(y+4)
H. (x+1)2=4(y+4)
Are job applicants with easy to pronounce last names less likely to get called for an interview than applicants with difficult to pronounce last names. 673 job applications were sent out with last names that are easy to pronounce and 761 identical job applications were sent out with names that were difficult to pronounce. 424 of the "applicants" with easy to pronounce names were called for an interview while 502 of the "applicants" with difficult to pronounce names were called for an interview. What can be concluded at the 0.10 level of significance? If the calculator asks, be sure to use the "Not Pooled" data option. For this study, we should use □z-test for the difference between two population proportions
a. The null and alternative hypotheses would be:
H0 : = p2 - ✓ (please enter a decimal) H1 : p1 < p2
(Please enter a decimal)
b. The test statistic □□ (please show your answer to 3 decimal places.)
c. The p-value = 0.1209
□ (Please show your answer to 4 decimal places.)
A manufacturer of auto windows employs a constant quality control technique where the thickness of glass is checked every hour. A perfect piece of glass will have a
thickness of 4 mm. From past experience, it is known that the standard deviation of thickness is 0.4 mm. The result of one shift's production is given in the following table.
You were asked to find the centerline for the xˉ chart. Glass Thickness (mm) | Sample | Observations | Sample | Observations |
|---|---|---|---|
| 1 | 3 6 2 4 6 | 9 | 3 6 6 3 4 |
| 2 | 4 2 2 6 5 | 10 | 4 5 2 6 5 |
| 3 | 6 3 5 5 2 | 11 | 3 5 2 3 6 |
| 4 | 2 5 3 3 6 | 12 | 5 2 4 5 3 |
| 5 | 6 4 5 3 3 | 13 | 5 5 3 4 2 |
| 6 | 5 5 5 2 4 | 14 | 5 3 4 4 5 |
| 7 | 3 6 3 4 6 | 15 | 5 6 2 2 6 |
| 8 | 5 4 3 2 5 | 16 | 4 5 3 3 6 | Recall that when the process mean is known, the xˉ chart is centered around it.
2. The profit from the production and sale of specialty hats is given by the function PP(x)=30x−6000 where x is the number of hats produced and sold. a. Producing and selling how many units will give us a profit of $60,000? b. How many units must be produced and sold to avoid a loss?
Question 10
Given the following inequalities, fill in the blanks to list the corner points in order from smallest x to largest x.
−x+2y≥05x+12y≤4434x+y≥−311 (x1,y1)=(Blank1,Blank2)
(x2,y2)=(Blank3,Blank4)
(x3,y3)=(Blank5,Blank6)
Blank 1 Add your answer
Blank 2 Add your answer
Blank 3 Add your answer
Blank 4 Add your answer
Blank 5 Add your answer
Suppose the members of population A, consisting of Al, Bob, Curt, Doris, and Ellie, receive annual incomes of $5,000, $2,500, $1,250, $750, and $500, respectively. What percentage of total income is received by the richest quintile? A 25
B 50
C 5
D 20
Do men score higher on average compared to women on their statistics finals? Final exam scores of thirteen randomly selected male statistics students and twelve randomly selected female statistics students are shown below. Male: 93776471726284708973638894 Female: 834658814974627069665868
Assume both follow a Normal distribution. What can be concluded at the the α=0.01 level of significance level of significance? For this study, we should use
Select an answer
a. The null and alternative hypotheses would be:
H0 :
Select an answer
Select an answer
Select an answer
(6) (please enter a decimal)
H1 :
Select an answer
Select an answer
Select an answer
(Please enter a decimal)
b. The test statistic ? 0=□ (please show your answer to 3 decimal places.)
c. The p-value =□ (Please show your answer to 4 decimal places.)
d. The p-value is
?
α
e. Based on this, we should
Select an answer
the null hypothesis.
f. Thus, the final conclusion is that ...
The results are statistically insignificant at α=0.01, so there is statistically significant evidence to conclude that the population mean statistics final exam score for men is equal to the population mean statistics final exam score for women.
The results are statistically significant at α=0.01, so there is sufficient evidence to conclude that the population mean statistics final exam score for men is more than the population mean statistics final exam score for women.
The results are statistically significant at α=0.01, so there is sufficient evidence to conclude that the mean final exam score for the thirteen men that were observed is more than the mean final exam score for the twelve women that were observed.
The results are statistically insignificant at α=0.01, so there is insufficient evidence to conclude that the population mean statistics final exam score for men is more than the population mean statistics final exam score for women.
CHM_159
Worksheet\_Chapter\_E\_Answers
(Measurements, Significant figures, Density, Dimensional Analysis) 1. Give the answer to the following calculation in scientific notation:
(8.333×10−2)(3.001)(9.66×10−1)+(5.1×102)−8.77+2.8
Ans: 2.0×103
The outside air temperature when Santa is flying typically reaches a low of -76 (negative 76) degrees Fahrenheit [∘F] during the cruising phase of his flight. Express this outside air temperature in units of degrees Celsius [∘C]. Enter a numerical answer without any units.