Analyze

Problem 11001

Construct a boxplot for the given data. Include values of the 5 -number summary in all boxplots.
The weights (in pounds) of 30 newborn babies are listed below. Construct a boxplot for the data set. $\begin{array}{l} 5.55 .75 .85 .96 .16 .16 .36 .46 .56 .6 \\ 6.76 .76 .76 .97 .07 .07 .07 .17 .27 .2 \\ 7.47 .57 .77 .77 .88 .08 .18 .18 .38 .7 \end{array}$

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Problem 11002

done to determine this. (c) Employees at a large office building took a survey. The results show that those who began work earlier tended to drink less tea. which statement is most likely true? There is no correlation between start time and amount of tea consumed. There is a correlation between start time and amount of tea consumed. There may or may not be causation. Further studies would have to be done to determine this. There is a correlation between start time and amount of tea consumed. However, there is no causation. This is because there is a decrease in the amount of tea consumed with an earlier start time.

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Problem 11003

Answer the questions below. (a) A researcher measured the shoe size and reading ability of a large group of children. He found that, as shoe size increases, so does reading ability. What does his analysis show? There is no correlation between shoe size and reading ability. There is a correlation between shoe size and reading ability. There may or may not be causation. Further studies would have to be done to determine this. There is a correlation between shoe size and reading ability. There is probably also causation. This is because there is an increase in reading ability with an increase in shoe size.

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Problem 11004

There is a correlation between amount of gasoline bought and price. There may or may not be causation. Further studles would have to be done to determine this. (c) Ms. Anderson studied her chemistry students' homework and test scores. She found that students who completed more homework did not tend to earn higher or lower scores on the test. What should she conclude?
There is no correlation between test score and amount of homework completed. There is a correlation between test score and amount of homework completed. There is probably also causation. This is because there might be an increase in a student's test score with an increase in the amount of homework completed. There is a correlation between test score and amount of homework completed. There may or may not be causation. Further studies would have to be done to determine this.

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Problem 11005

Lxpression Practice Test 2023 26103 POSSGLE POINTS 3.03
Select all expresitons below that are equivalent $10 \frac{3}{6} \times \frac{3}{6} \times \frac{3}{6}$ .

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Problem 11006

6. A large bathtub contains 425 gallons of water. After 5 minutes of draining, it has lost $32 \%$ of its volume of water. (a) What percentage of the water remains in (b) the tub after 5 minutes? Explain or justify. how many gallons of water remain after 5 minutes.

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Problem 11007

Find the domain of the function $f(x)=\frac{1}{5 x+4}$ . What is the only value of $x$ not in the domain? Only Value= $\square$ Add Work $\square$

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Problem 11008

X 25 yd X = 7. १ 12 yd 15 yd

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Problem 11009

Graph the quadratic $y=4 x^{2}-3 x+2$ . Identify the $y$ -value of the $y$ -intercept. (1 point) $\square$

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Problem 11010

[-/2 Points] DETAILS MY NOTES TGINTERALGH5 5.1.002.
Fill in the blanks. In the exponential expression $x^{n}, x$ is called the -- Select $-\cdots$ , and $n$ is called the -- Select $-\Upsilon$ . Need Help? Road It Submit Answer

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Problem 11011

$1 / 18$ Correct e Incorrect
A researcher randomly purchases several different kits of a popular building toy. The following table shows the number of pieces in each kit in the sample. Find the range of the data. \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{\begin{tabular}{c} Building \\ Toy Pieces \end{tabular}} \\ \hline 178 & 63 \\ \hline 283 & 368 \\ \hline 368 & 63 \\ \hline 122 & 314 \\ \hline 283 & 127 \\ \hline 188 & 534 \\ \hline \end{tabular} Copy Data

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Problem 11012

Find the median of the following data set. Assume the data set is a sample. $54,41,34,47,48,43,42,46,41,35,52,39$

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Problem 11013

The graph of $y=x^{2}$ is the solid black graph below. Which function represents the dotted graph?
Answer $y=(-x)^{2}+3$ $y=-(x+3)^{2}$ Submit Answer 8 $y=(-x)^{2}-3$ $y=-(x-3)^{2}$

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Problem 11014

וור 13 Beth says that the equation x + 3 = 5 has only one solution. Is Beth correct? Use the number line to help explain your reasoning. 0 + 2 3 4 95 +4 13 + 16 6 7 8 9 10 same quantity Lesson 22: Solving Equations 213 Suner Teacher

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Problem 11015

Identify whether each given mapping diagram is a function below. Drag and drop "yes" or "no" to its appropriate places. $\square$

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Problem 11016

The scores from the final exam in an English 101 course are given in the box plot. What was the average (median) score?
Answer

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Problem 11017

Geoffrey is looking at two datasets, each of which has the same mean. How can he determine which of the two datasets has less variability? (1 point) The dataset with less variability has a smaller deviation. The datasets have the same variability because their means are the same. The dataset with less variability has a greater deviation. The dataset with more pieces of data will have less variability.

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Problem 11018

Predict \#3
If we changed the 2 to a 5 in the domain restriction $x<2$ , what would happen to the graph? $\sqrt{ \pm}$ Share With Class

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Problem 11019

An objective function and a system of linear inequalities representing constraints are given. Complete parts a. through c.
Objective Function $z=3 x-2 y$ Constraints $\left\{\begin{array}{l} 3 \leq x \leq 7 \\ y \geq 2 \\ x-y \geq-4 \end{array}\right.$ b. Find the value of the objective function at each corner of the graphed region. $\square$ (Use a comma to separate answers as needed.)

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Problem 11020

ike, Pedro, and Harry picked 10, 6, and 3 bushels of peaches, respectively. Find the following ratios of the quantities picked. Expres
13. Pedro to Harry
14. Ike to Pedro
15. Ike to Harry
16. Harry to Pedro
17. Pedro to Ike and Harry
18. Ike to Pedro and Harry

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Problem 11021

The height, $h$ , in centimetres, of a piston moving up and down in an engine cylinder can be modelled by the function $h(t)=18 \sin (50 \pi t)+18$ , where $t$ is the time, in seconds. What is the piston's minimum height? a) -18 cm b) 9 cm c) 0 cm d) 18 cm

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Problem 11022

$Y=\frac{g}{22}+0.146$
Complete the missing entry in the table:
Question $1 / 4$ \begin{tabular}{|l|l|} \hline Price of Gas (\/gal) & Cost of Driving Car (\ $/$ mile $)$ \\ \hline 2.00 & \\ \hline 3.00 & 0.28 \\ \hline 3.20 & \\ \hline 3.50 & 0.31 \\ \hline 4.00 & 0.33 \\ \hline 4.50 & 0.35 \\ \hline & 0.40 \\ \hline \end{tabular}

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Problem 11023

Which expressions can be used to find the measure of $\angle \theta$ ? Choose all that apply.

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Problem 11024

Find the intercepts, extrema, inflection points, and vertical asymptotes of the function $f(x) = 4x^3 - 300x$ with a domain of $[-20, 20]$ .

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Problem 11025

Fill in the blanks. A second-degree polynomial function is also called a $\square$ function. A third-degree polynomial function is also called a $\square$ function. Need Help? Road It

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Problem 11026

```latex \textbf{Foundations of Mathematics 11} \\ \textbf{5.3 Standard Deviation Part II}
\textbf{Analyze Data and Make Decisions}
\textbf{Example 1.} The coach of a varsity girls' basketball team keeps statistics on all the players. Near the end of one game, the score is tied and the best starting guard has fouled out. The coach needs to make a substitution. The coach examines the field goal stats for five guards on the bench in the last 10 games.
\begin{enumerate} \item[(a)] Calculate the mean and the standard deviation of the first four player's shooting percentage. \end{enumerate}
\begin{tabular}{|c|c|c|} \hline Player & Mean & Standard Deviation \\ \hline Anna & 36.7 & 5.88 \\ \hline Patrice & & \\ \hline Morgan & & \\ \hline Paige & & \\ \hline Star & 36.3 & 3.348 \\ \hline \end{tabular}
$\begin{array}{l} \text{Anna (36.7)} \\ \text{standaro} \end{array}$
$\begin{array}{l} \text{Deviation} \\ \sqrt{\frac{346}{10}}=5.88 \end{array}$
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.
\textbf{Dialogue Transcript:}
\textbf{assistant:} Hello! It seems that we have a part of a math problem, but some information is missing. We have the mean and standard deviation for Anna's and Star's shooting percentages, but we don't have the data or results for Patrice, Morgan, and Paige. Could you please provide the shooting percentages for these players or specify what calculations you need help with? Once I have that information, I'll be able to assist you further!
\textbf{user:} I need to find the mean and standard deviation for each name
\textbf{assistant:} Great! To calculate the mean and standard deviation for each player's shooting percentages, I'll need the individual shooting percentages for each game for Patrice, Morgan, and Paige. Could you provide those?
If you have the shooting percentages for each of the 10 games for each player, we can proceed with the calculations. If you don't have them, any additional detail would be helpful!
\textbf{user:} Ok Patrice has a 364 shooting percentage
\textbf{assistant:} Thank you for providing Patrice's total shooting percentage. However, I suspect the value you provided might be a sum of shooting percentages or it might be an average per a certain number of games.
To calculate the mean and standard deviation, we typically need individual data points (i.e., shooting percentages for each game). If you happen to have these details, please share them.
If Patrice's "364" represents a combined total or already a mean of 10 game percentages, I can guide you on how to calculate the standard deviation using individual percentages if available. If not, we may need to interpret the data a bit differently. Let me know how you'd like to proceed!
\textbf{user:} I uploaded an image and extracted the following:
\begin{verbatim} * Text: coach examines the field goal stats for five guards on the bench in the last \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|} \hline Player & \multicolumn{1}{|c|}{ Field Goal Percent in Last 10 Basketball Games } \\ \hline Anna & 36 & 41 & 43 & 39 & 45 & 27 & 40 & 37 & 31 & 28 \\ \hline Patrice & 36 & 39 & 36 & 38 & 35 & 37 & 35 & 36 & 38 & 34 \\ \hline Morgan & 34 & 41 & 38 & 37 & 48 & 19 & 33 & 43 & 21 & 44 \\ \hline Paige & 34 & 35 & 33 & 35 & 33 & 34 & 33 & 35 & 34 & 33 \\ \hline Star & 41 & 33 & 39 & 36 & 38 & 36 & 29 & 34 & 38 & 39 \\ \hline \end{tabular} \end{verbatim}
Based on the extracted text and the dialogue transcript, please rewrite the math problem that the Assistant is helping the user to solve. Rewrite it in LaTeX. Do not omit any portion of the original problem. When you have finished writing the problem, type the special keyword:

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Problem 11027

A 17 foot ladder is leaning against a wall. If the top slips down the wall at a rate of $2 \mathrm{ft} / \mathrm{s}$ , how fast will the foot be moving away from the wall when the top is 16 feet above the ground?
The foot will be moving at $7.5 \mathrm{ftt} / \mathrm{s}$ .

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Problem 11028

Consider the function graphed below.
Determine the following information: a. Amplitude: $\square$ b. Period: $\square$ c. Equation of Midline: $y=$ $\square$ Add Work

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Problem 11029

A researcher randomly purchases several different kits of a popular building toy. The following table shows the number of pieces in each kit in the sample. Find the median of the data. \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{\begin{tabular}{c} Building \\ Toy Pieces \end{tabular}} \\ \hline 185 & 70 \\ \hline 290 & 375 \\ \hline 375 & 70 \\ \hline 129 & 321 \\ \hline 290 & 134 \\ \hline 195 & 233 \\ \hline \end{tabular}
Copy Data
Answer BETA KeypI Keyboard Short

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Problem 11030

Use a compound angle formula to determine a trigonometric expression that is equivalent to $\sin \left(x-\frac{4 \pi}{3}\right)$ .

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Problem 11031

Use the graph below to answer the questions provided.
What is the slope of the line?
What is the $y$ intercept of the line?
Write the equation that represents the graph in slope intercept form?

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Problem 11032

Grapt w' 5
15. The graph of $\underline{f^{\prime}(x)}$ is given below. How may critical values does $f(x)$ have? Justify your reasoning.
Grapho of $f^{\prime}$

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Problem 11033

The scores from the final exam in an English 101 course are given in the box plot. What was the range of scores?

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Problem 11034

Use the results from a survey of a simple random sample of 1142 adults. Among the 1142 respondents, $69 \%$ rated themselves as above average drivers. We want to test the claim that more than $\frac{13}{20}$ of adults rate themselves as above average drivers. Complete parts (a) through (e). A. This statement seems to suggest that with a low P-value, the null hypothesis has been proven or is supported, but this conclusion cannot be made. B. This statement seems to suggest that with a high P-value, the null hypothesis has been proven or is supported, but this conclusion cannot be made. C. This statement seems to suggest that with a high $P$ -value, the alternative hypothesis has been proven or is supported, but this conclusion cannot be made. D. This statement seems to suggest that with a high P-value, the alternative hypothesis has been rejected, but this conclusion cannot be made. e. Common significance levels are 0.01 and 0.05 . Why would it be unwise to use a significance level with a number like 0.0432 ? A. A significance level with more than 2 decimal places has no meaning. B. Choosing a more specific significance level makes it more difficult to reject the null hypothesis. C. Using a significance level to more decimal places makes calculations of P -values more difficult. D. Choosing such a specific significance level could give the impression that the significance level was carefully chosen to reach a desired conclusion.

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Problem 11035

The table shows information about three stars. All of the stars have similar actual brightnes \begin{tabular}{|l|c|} \hline Name of star & Distance from Earth (in light-years) \\ \hline 18 Scorpii & 46 \\ \hline Sun & 0.000016 \\ \hline Kepler-452 & 1,400 \\ \hline \end{tabular}
Order the stars by how bright they look from Earth. looks dimmest from Earth
Sun
Kepler-452
18 Scorpif looks brightest from Earth

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Problem 11036

Determine the amplitude of the sinusoidal function $y=-3 \sin \left[2\left\{x-\frac{\pi}{3}\right)\right]+1$ . a) -3 b) 2 c) 3 d) $\frac{\pi}{3}$

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Problem 11037

Use $<,>$ , or $=$ to compare the following numbers. \begin{tabular}{ccc} -3 & $\square$ & -12 \\ -5 & $\square$ & -8 \\ 9 & $\square$ & -4 \\ \hline \end{tabular}
Start over

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Problem 11038

6. Diketahui $f(x)=2 x+5$ dan $g(x)=\frac{x-1}{X+4}, x \neq-5$ maka $(f \circ g)(x)=\ldots$ a. $\frac{7 x-2}{x+4}, x \neq-4$ d. $\frac{7 x+18}{x+4}, x \neq-4$
16. $\frac{2 x+3}{x+4}, x \neq-4$ e. $\frac{7 x+22}{x+4}, x \neq-4$

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Problem 11039

1. For the graph of $f(x)=\sqrt{x}$ , identify the transformation that would not be applied to

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Problem 11040

Question 3 (1 point) The graph of $y=\cos x$ has a period of a) $\pi$ b) $2 \pi$ c) 1 d) $k$

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Problem 11041

The numbers of students in the 9 schools in a district are given below. (Note that these are already ordered from least to greatest.) $212,288,290,292,301,325,333,334,388$ Send data to calculator
Suppose that the number 212 from this list changes to 329 . Answer the following. \begin{tabular}{|c|c|} \hline (a) What happens to the mean? & It decreases by $\square$ It increases by $\square$ It stays the same. \\ \hline (b) What happens to the median? & It decreases by $\square$ It increases by $\square$ It stays the same. \\ \hline \end{tabular}

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Problem 11042

What is the prime factorization of each expression?
$\text { A) } \begin{aligned} 8 x y & =8 \cdot x \cdot y \\ 12 x & =12 \cdot x \end{aligned}$ B) $\begin{array}{l} 8 x y=1 \cdot 8 \cdot x \cdot y \\ 12 x=1 \cdot 12 \cdot x \end{array}$ C) $\begin{array}{l} 8 x y=2 \cdot 4 \cdot x \cdot y \\ 12 x=2 \cdot 6 \cdot x \end{array}$
$\text { D) } \begin{aligned} 8 x y & =2 \cdot 2 \cdot 2 \cdot x \cdot y \\ 12 x & =2 \cdot 2 \cdot 3 \cdot x \end{aligned}$

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Problem 11043

Question 23 (1 point) A Ferris wheel starts spining at $t=0 \mathrm{~s}$ and stops at $t=12 \mathrm{~s}$ . If the Ferris wheel made 5 loops during that time, what is $k$ (horizontal stretch/compression? a) $\frac{2 \pi}{18}$ b) $\frac{2 \pi}{5}$ c) $\frac{5 \pi}{6}$ d) $2 \pi$

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Problem 11044

Question 1 (2 points) Given the following sine function, $f(x)=2 \sin (\pi x)+1$ determine the information below. Enter your answers as integers (no decimals are needed).
Amplitude $=$ $\square$ A
Midline at $\mathrm{y}=$ $\square$ A
Period $=$ $\qquad$ A $y$ -intercept (enter a coordinate point with brackets and no spaces): $\square$ A
Domain (enter an interval): $\square$ A
Range (enter an interval): $\square$

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Problem 11045

Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.19 and a standard deviation of 1.49 . Using the empirical rule, what percentage of American women have shoe sizes that are no more than 11.17 ? Please do not round your answer.

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Problem 11046

Which of the following ratios is equivalent to 2:3? A $\frac{1}{2}$ C $\frac{12}{13}$ B $\frac{4}{6}$ D $\frac{20}{25}$

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Problem 11047

\begin{tabular}{lllll} \hline Time & Oral & Intravenous & Urine & Stool \\ \hline 0800 & 360 ml & & \\ \hline 0900 & 120 ml & 250 ml & 400 ml & 1 \\ \hline 1100 & 120 ml & & \\ \hline 1200 & 240 ml & & \\ \hline 1300 & & 150 ml & \\ \hline 1400 & 120 ml & & \\ \hline 1500 & & & \\ \hline \end{tabular}
The nurse calculates the client's intake and output for the shift (above). Calculate the client's fluid balance, in milliliters, for the 8 -hour shift. Record your answer using a whole number. $410$

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Problem 11048

Question Graph the following function: $y=\frac{1}{2} \cot \left(3 x+\frac{3 \pi}{4}\right)+1$
Drag the movable black point to set the left vertical asymptote and shift the function, the red point to set the right vertical asymptote (thereby setting the period of the function), and the blue point at the correct set of coordinates. Note that the two asymptotes can be moved independently of each other and that only one period of the function is shown.
Provide your answer below: Search

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Problem 11049

(3)

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Problem 11050

An air conditioner cools a home when the outside temperature is about 78 EdegF. During the summer you can model the outside temperature in degrees Fahrenheit using the function $f(t)=72-9 \cos \left(\frac{1}{12} \pi t\right)$ where $t$ is the number of hours past midnight. During what hours is the air conditioner cooling the home? Round the hour to nearest tenth.
Time format is a 24 hour clock, please pay attention to notes beside answer boxes (for auto-grading purposes).
The air conditioner comes on approximately $\square$ hours after midnight or $\square$ A.M. (enter answer as h:mm do not put a zero in front of the hour for answers like: 3:25, do NOT enter as 03:25)
By the symmetry of the graph, it goes off about $\square$ hours before midnight or $\square$ P.M. (enter answer as hh:mm for an answer like 7:15 pm enter using 24 hour format as: 19:15)

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Problem 11051

Let $f(x)=(x+2)^{2}$
Find a domain on $f$ that will make $x=f(y)$ a function. Write your answer in Setbuilder Notation. $\{x \mid x \geq$ $\square$ $, x \in R\}$
Find the inverse of $f$ restricted to this domain $x=f(y)=$ $\square$

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Problem 11052

A system of equations is given in which each equation is written in slope-intercept form. Determine the number of solutions. If the system does not have one unique solution, state whether the system is inconsistent or whether the equations are dependent. $\begin{array}{l} y=\frac{1}{3} x+7 \\ y=3 x-\frac{1}{7} \end{array}$ The system has one solution. The system has no solution, $\}$ . The system is inconsistent. The equations are dependent. The system has infinitely many solutions. The system is inconsistent. The equations are dependent.

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Problem 11053

The height, $h$ , in metres, above the ground of a car as a Ferris wheel rotates can be modelled by the function $h(t)=16 \cos \left(\frac{\pi t}{120}\right)+18$ , where $t$ is the time, in seconds. How fast does the wheel rotate? a) $\frac{\pi}{240} \mathrm{rad} / \mathrm{s}$ b) $\frac{\pi}{120} \mathrm{rad} / \mathrm{s}$ C) $120 \mathrm{rad} / \mathrm{s}$ d) $240 \mathrm{rad} / \mathrm{s}$

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Problem 11054

Evaluate the minor and cofactor using the matrix $A$ . $A=\left[\begin{array}{rrr} 6 & 0 & \frac{9}{2} \\ -1 & 6 & 8 \\ 0 & 0 & 6 \end{array}\right]$ minor $\quad M_{33}=$ $\square$ cofactor $A_{33}=$ $\square$ Need Help? Road II Master It

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Problem 11055

Evaluate the minor and cofactor using the matrix $A$ . $A=\left[\begin{array}{rrr} 8 & 0 & \frac{1}{6} \\ -5 & 2 & 8 \\ 0 & 0 & 5 \end{array}\right]$ minor $\quad M_{32}=$ $\square$ cofactor $A_{32}=$ $\square$ Need Help? Read it Master It

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Problem 11056

Part 4 of 4
Soon after the euro was introduced as a currency in Europe, it was widely reported that someone had spun a euro coin 250 times and gotten he coin. Complete parts a) through c) below. a) Estimate the true proportion of.heads. Use a $90 \%$ confidence interval. Don't forget to check the conditions first.
Are the conditions satisfied? A. The $10 \%$ Condition and the Success/Failure Condition are both met. The Randomization Condition is not met. B. The Randomization Condition and the $10 \%$ Condition are both met. The Success/Failure Condition is not met. C. The Randomization Condition and the Success/Failure Condition are both met. The $10 \%$ Condition is not met. D. The Independence Assumption is not plausible. The $10 \%$ Condition is not met. E. The Randomization Condition is met. Neither the $10 \%$ Condition nor the Success/Failure Condition are met. F. All necessary assumptions and conditions are met.
The 90\% confidence interval is ( $0.468,0.572$ ). (Use ascending order. Round to three decimal places as needed.) b) Does your confidence interval provide evidence that the coin is unfair when spun? Explain.
Since 0.50 is $\square$ within the interval, there $\square$ evidence that the coin is unfair when spun. c) What is the significance level of this test? Explain.
The significance level is $\alpha=$ $\square$ . The test is a(n) $\square$ test based on the 90\% confidence interval above. (Type an integer or a decimal.)

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Problem 11057

Which inequality represents the following interval? $(-\infty, 5]$

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Problem 11058

Question 25 (1 point) Which of the following radian measures is the largest? a) $\frac{12 \pi}{9}$ b) None of the above C) $\frac{3 \pi}{2}$ d) $\frac{7 \pi}{4}$

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Problem 11059

Select the inequality shown $-3 \leq x \leq 4$ $-3<x \leadsto 4$ $-3<x \leq 4$ $-3 \leq x<4$

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Problem 11060

2 Question 5 - 5 marks a) $\begin{array}{l}n(x) \\ m(x) \\ n\end{array}=-x^{2}-6 x-9$ $\begin{array}{l} \text { d) } \\ b(x)=4(x+1)^{2}+0 . \\ \text { d) } \\ g(x)=-5(x+1,3)^{2}\end{array}$ d) $\begin{array}{l}g(x)=-5(x+13)^{2} \\ -2(x+3.0)^{2}+4.1\end{array}$

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Problem 11061

A certain species of animal has a $\frac{1}{3}$ probability of any one offspring being male and a $\frac{2}{3}$ probability of any one offspring being female. Fill in the remaining probabilities on the tree diagram and use that information to find the probability that an adult female of the species produces three offspring that are all females, given that the first is a female.
Choose the correct tree below. A. example Get more help - Final check

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Problem 11062

For $P(x)=2 x^{3}-3 x^{2}-10 x+3$ , the zeros can be written as $x=a$ and $x=\frac{b \pm \sqrt{c}}{4}$ , where $a, b, c \in I$ .
The value of $c$ is $\square$

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Problem 11063

Use a graphing calculator to find the determinant of the matrix. $\left[\begin{array}{rrrr} 3 & -12 & -2 & 5 \\ -1 & 4 & 11 & 5 \\ 9 & -36 & 0 & 31 \\ 8 & -32 & -10 & 39 \end{array}\right]$ $\square$ Determine whether the matrix has an inverse, but don't calculate the inverse. The matrix has an inverse. The matrix does not have an inverse.

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Problem 11064

Question 6 - 5 marks Which is the correct ratio for $\csc \theta$ ? a) $\frac{5}{13}$ b) $\frac{13}{5}$ c) $\frac{13}{12}$ d) $\frac{12}{5}$

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Problem 11065

13. There are 264 children going on a field trip. Are 5 buses enough if each bus holds 52 children? Tell how you decided.
Think about what information in the problem you need to compare.

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Problem 11066

13. There are 264 children going on a field trip. Are 5 buses enough if each bus holds 52 children? Tell how you decided.
Think about what information in the problem you need to compare.

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Problem 11067

The median of the values $24,9,-2,12,19$ is the number 11 . True False

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Problem 11068

$y \leq-x^{2}-5$

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Problem 11069

14. Higher Order Thinking Ginny earned $\$ 49.50$ for 6 hours of gardening and $\$ 38.60$ for 4 hours of babysitting. For which job did she earn more money per hour? How much more per hour did she earn? Explain how you found the answers.

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Problem 11070

Which of the following statements about correlation is true?
Choose the correct answer below. A. We say that there is a negative correlation between $x$ and $y$ if the $x$ -values increase as the corresponding $y$ -values increase. B. We say that there is a positive correlation between $x$ and $y$ if the $x$ -values increase as the corresponding $y$ -values increase. C. We say that there is a positive correlation between $x$ and $y$ if there is no distinct pattern in the scatterplot. D. We say that there is a positive correlation between $x$ and $y$ if the $x$ -values increase as the corresponding $y$ -values decrease.

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Problem 11071

Use the properties of logarithms to expand the following expression. $\log \sqrt[3]{\frac{x y^{4}}{z^{2}}}$

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Problem 11072

Is $(1,-1)$ a solution to this system of equations? $\begin{array}{l} y=-6 x+5 \\ y=x-2 \end{array}$ yes no
Submit

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Problem 11073

Is $(4,8)$ a solution to this system of equations? $\begin{array}{l} 17 x-4 y=15 \\ 15 x-7 y=4 \end{array}$ yes no submit

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Problem 11074

16 The age of a tree and the height of the tree. $\left.\square_{4}\right)$ (5 Points) Positive Negative None

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Problem 11075

Given the rational function $f(x)=\frac{x^{2}-5 x+6}{x^{2}-2 x}$ find any point(s) of discontinuity of the function. $x=3$ $x=2$ $x=0, x=2$ $x=0$ $x=3, x=2$ There are no points of disconinuity

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Problem 11076

Use the properties of logarithms to expand the following expression. $\log \left(\frac{\sqrt[3]{x^{5} z}}{y^{2}}\right)$

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Problem 11077

3 The number of ice cubes in a drink and the temperature of the drink. * $\square_{0}$ (5 Points) Positive Negative None

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Problem 11078

12.1 HW Part 3 of 5 Points: 0 of 1
The data from car crash tests for four different vehicle size categories (Small, Midsize, Large, and SUV) with measured amounts of left leg femur force (kN) results in the following Minitab display. Using a 0.05 significance level, test the claim that the four vehicle size categories have the same mean force on the femur of the left leg. Does size of the car appear to have an effect on the force on the left femur in crash tests?
Determine the null hypothesis. $H_{0}: \mu_{1}=\mu_{2}=\mu_{3}=\mu_{4}$
Determine the alternative hypothesis. $H_{1}$ : At least one of the means is different from the others Determine the test statistic. The test statistic is $\square$ (Round to two decimal places as needed.) Clear all Check answer

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Problem 11079

2. Rounded numbers always end with a 0 in the ones place, but compatible numbers can end with a $\qquad$ or $\qquad$ A. 1 or 2 B. 0 or 5

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Problem 11080

12.1 HW Question 28, 12.1.9-T Part 3 of 6 Points: 0.25 of 1
Pages were randomly selected from one book each from authors A, B, and C. The accompanying table shows the ease-of-reading scores for those pages. Use a 0.05 significance level to test the claim that pages from books by those three authors have the same mean ease-of-reading score. Given that higher scores correspond to text that is easier to read, which author appears to be different, and how is that author different?
Click the icon to view the data table of the ease-of-reading scores.
Determine the null hypothesis. $H_{0}: \mu_{1}=\mu_{2}=\mu_{3}$
Determine the alternative hypothesis. $H_{1}$ : At least one of the means is different from the others Determine the test statistic. The test statistic is $\square$ $\square$ . (Round to two decimal places as needed.)
Ease-of-Reading Scores \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|} \hline A & 58.9 & 73.8 & 73.7 & 64.1 & 72.3 & 89.1 & 43.1 & 76.4 & 76.6 \\ \hline B & 85.9 & 84.4 & 79.3 & 82.2 & 80.2 & 84.5 & 79.1 & 70.5 & 78.1 \\ \hline C & 69.2 & 64.2 & 71.4 & 71.2 & 68.4 & 51.1 & 72.2 & 74.4 & 52.3 \\ \hline \end{tabular}
Print Done

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Problem 11081

Question 20 (1 point) The graph of $y=\cos x$ can be obtained by translating the graph of $y=\sin x$ a) $\frac{\pi}{4}$ rad to the left b) $\frac{\pi}{2}$ rad to the left c) $\frac{\pi}{4}$ rad to the right d) $\frac{\pi}{2}$ rad to the right

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Problem 11082

Consider the topic of correlation introduced in Section 11.1 and then respond to the scenario and questions below. As part of your response, please explain what correlation is and why two variables might be described as having a negative correlation.
Age and education: A survey of U.S. adults showed that there is a negative correlation between age and education level. Does this mean that people become less educated as they become older? Why or why not?
Please respond using complete sentences. Your first post must include your response to the items above, but you are welcome to post additional thoughts after reading the responses of your classmates (worth 70 points). You should also respond to the postings of at least two of your classmates (worth 30 points total). When responding to classmates, use something from their post to comment on. Generic responses such as "good job" or "l agree with your post" are not worth full credit.

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Problem 11083

Stella solves the following system of equations using the substitution method. $\begin{array}{l} y=-4 x-6 \\ 5 x-y=10 \end{array}$
What is the single-variable equation she solves after substituting? $5 x-4 x-6=10$ $5 x-(-4 x-6)=10$ $5 x+10=-(4 x-6)$ $5 x+10=-4 x-6$

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Problem 11084

Nathan solves the following system of equations using the elimination method. $\begin{array}{l} -2 x+3 y=6 \\ 4 x-6 y=-12 \end{array}$
He chooses to eliminate the variable $x$ . Which statement correctly describes his process and solution? Nathan multiplies $-2 x+3 y=6$ by 2 and then subtracts the equations. He finds the result is a contradiction, so there is no solution. Nathan multiplies $-2 x+3 y=6$ by 2 and then adds the equations. He finds the result is an identity, so there are infinitely many solutions. Nathan multiplies $-2 x+3 y=6$ by 2 and then adds the equations. He finds the result is a contradiction, so there is no solution. Nathan multiplies $-2 x+3 y=6$ by 2 and then subtracts the equations. He finds the result is an identity, so there are infinitely many solutions. Tormin un

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Problem 11085

Question 9 of 10 (i) point) I Question Attempt 2 of Unilmied
Fast reactions: In a study of reaction times, the time to respond to a visual stimulus $(x)$ and the time to respond to an auditory stimulus ( $y$ ) were recorded for each of 8 subjects. Times were measured in thousandths of a second. The results are presented in the following table. \begin{tabular}{cc} \hline Visual & Auditory \\ \hline 191 & 169 \\ 203 & 206 \\ 201 & 197 \\ 188 & 193 \\ 228 & 209 \\ 161 & 159 \\ 176 & 163 \\ 178 & 201 \\ \hline \end{tabular} Send data to Excel
The least-squares regression line $\hat{y}=b_{0}+b_{1} x=46.9658+0.7348 x$ and $\Sigma(x-\bar{x})^{2}=2915.5000$ are known for this data. Construct a $95 \%$ confidence interval for the slope. Round the answers to at least four decimal places.

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Problem 11086

Question 9 of 10 (1 point) I Question Attempt 3 of Unlimited
Fast reactions: In a study of reaction times, the time to respond to a visual stimulus $(x)$ and the time to respond to an auditory stimulus ( $y$ ) were recorded for each of 7 subjects. Times were measured in thousandths of a second. The results are presented in the following table. \begin{tabular}{cc} \hline Visual & Auditory \\ \hline 161 & 159 \\ 176 & 163 \\ 178 & 201 \\ 188 & 193 \\ 201 & 197 \\ 203 & 206 \\ 211 & 189 \\ \hline \end{tabular} Send data to Excel
The least-squares regression line $\hat{y}=b_{0}+b_{1} x=51.2341+0.7203 x$ and $\Sigma(x-\bar{x})^{2}=1895.4286$ are known for this data. Construct a $95 \%$ confidence interval for the slope. Round the answers to at least four decimal places.
The $95 \%$ confidence interval is $\square$ $<\beta_{1}<$ $\square$ 1. Save For Later Submit Assig

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Problem 11087

BSAD/MATH 2170 Applied Statistics - Marquis (1) Haley Stone Homework: 10.1 Correlation Question 6, 10.1.1 HW Score: $37.88 \%, 8.33$ of 22 points Part 2 of 3 Points: 0.33 of 1 Save
Question list
Media 3
Question 1
Question 2
Question 3
Question 4
Question 5
Twenty different statistics students are randomly selected. For each of them, their body temperature $\left({ }^{\circ} \mathrm{C}\right)$ is measured and their head circumference $(\mathrm{cm})$ is measured. a. For this sample of paired data, what does r represent, and what does $\rho$ represent? b. Without doing any research or calculations, estimate the value of $r$ . c. Does r change if body temperatures are converted to Fahrenheit degrees? A. $r$ is a statistic that represents the proportion of the variation in head circumference that can be explained by variation in body temperature, and $\rho$ is a parameter that represents the value of the linear correlation coefficient that would be computed by using all of the paired data in the population of all statistics students. B. $r$ is a statistic that represents the value of the linear correlation coefficient computed from the paired sample data, and $\rho$ is a parameter that represents the value of the linear correlation coefficient that would be computed by using all of the paired data in the population of all statistics students. C. $r$ is a statistic that represents the value of the linear correlation coefficient computed from the paired sample data, and $\rho$ is a parameter that represents the proportion of the variation in head circumference that can be explained by variation in body temperature. D. $r$ is a parameter that represents the value of the linear correlation coefficient that would be computed by using all of the paired data in the population of all statistics students, and $\rho$ is a statistic that represents the value of the linear correlation coefficient computed from the paired sample data. b. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal rounded to one decimal place as needed.) The value of $r$ is estimated to be $\square$ because it is likely that body temperature and head circumference are strongly positively correlated. B. The value of $r$ is estimated to be $\square$ , because it is likely that body temperature and head circumference are strongly negatively correlated. C. The value of $r$ is estimated to be $\square$ , because it is likely that there is no correlation between body temperature and head circumference. $x /$ Question 6

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Problem 11088

2. Miguel is comparing the probabilities of two spinners. Select all the true statements that Miguel made. (A) Spinner $A$ is twice as likely to land on 1 as spinner $B$ is. (B) The probability that spinner $B$ lands on an odd number is $\frac{1}{2}$ . (c) The probability that spinner $A$ lands on 2 is $\frac{1}{4}$ . (1)
Spinner $A$ is not a fair spinner. Spinner $A$ and spinner $B$ are equally likely to land on an odd number.

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Problem 11089

el vector opuesto de ē: (1,-1,-1) es: a. $\bar{e}=i+j+k$ b. $\bar{e}=(-1,-1,1)$ c. $\bar{e}=\mathrm{i}-\mathrm{j}-\mathrm{k}$ d. $\bar{e}=(-1,-1,1)$

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Problem 11090

cond Attempt Personalized Question 11, 5.1.69 Part 1 of 9 Points: 0 of 13
For the polynomial function below: (a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the $x$ -axis at each $x$ -intercept. (c) Determine the maximum number of turning points on the graph. (d) Determine the end behavior; that is, find the power function that the graph of $f$ resembles for large values of $|x|$ . $f(x)=-9 x^{2}\left(x^{2}-2\right)$ (a) Find any real zeros of f . Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The real zero(s) of $f$ is/are $\square$ . (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. There are no real zeros.

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Problem 11091

A person has a taco stand. They have found that their daily costs are approximated by $C(x)=x^{2}-20 x+330$ , where $C(x)$ is the cost, in dollars, to sell $x$ units of tacos. Find the number of units of tacos they should sell to minimize costs. What is the minimum cost?
The person should sell $\square$ units of tacos to minimize the costs. The minimum cost is $\$$ $\square$ . (Simplify your answers. Type integers or fractions.)

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Problem 11092

Consider a function $f(x)=-\sqrt{3x+a+2}$ .
c) In the space below, determine an expression representing the domain and range of $f(x)$ .
Do not provide the full form, provide the inequality portions only! For example, your domain could be $x<5$ and your range could be $y \geq-75$ .
D: $\square$
R: $\square$
d) In the space below, determine an expression representing the $x$ -intercept of $f(x)$ . state the $x$ -coordinate only. $x=$ $\square$

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Problem 11093

Which function is most likely graphed on the coordinate plane below? $f(x)=3 x-11$ $f(x)=-4 x+12$ $f(x)=4 x+13$ $f(x)=-5 x-19$

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Problem 11094

4. For each pair of numbers in parts (a)-(d), choose the number that is closer to 0 . Explain. a. 4 and 10 b. 4 and -1 c. 4 and -4 d. -4 and -10

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Problem 11095

Find the mean of the given frequency distribution and create a relative frequency histogram. Class intervals and frequencies are: 0-5 (146), 5-10 (178), 10-15 (217), 15-20 (223), 20-25 (198), 25-30 (140), 30-35 (80).

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Problem 11096

Analyze the quadratic function $f(x)=-x^{2}-8x$ : graph it, find if it opens up/down, vertex, axis of symmetry, and intercepts.

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Problem 11097

Given frequency distributions for $X$ and $Y$ , create histograms, find relative frequencies, and compare averages.

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Problem 11098

Find the bubble production rate at 40 cm distance from light, based on the pattern in the data:
Distance (cm): 10, 20, 30, 40, 50 Rates (bubbles/min): 40, 20, 10, *, 3.

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Problem 11099

For the function $f(x)=-x^{2}-4x$ , determine if it opens up or down, and find the vertex and intercepts.

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Problem 11100

Graph the function $f(x)=-x^{2}-4 x$ and find its vertex, axis of symmetry, $y$ -intercept, and $x$ -intercepts.

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1 ...108 109 110 111 112 113 114 ...160

Analyze

Problem 11001

Problem 11002

Problem 11003

Problem 11004

Problem 11005

Lxpression Practice Test 2023 26103 POSSGLE POINTS 3.03Select all expresitons below that are equivalent 1036×36×3610 \frac{3}{6} \times \frac{3}{6} \times \frac{3}{6}1063​×63​×63​.

Problem 11006

6. A large bathtub contains 425 gallons of water. After 5 minutes of draining, it has lost 32%32 \%32% of its volume of water. (a) What percentage of the water remains in (b) the tub after 5 minutes? Explain or justify. how many gallons of water remain after 5 minutes.

Problem 11007

Find the domain of the function f(x)=15x+4f(x)=\frac{1}{5 x+4}f(x)=5x+41​. What is the only value of xxx not in the domain? Only Value= □\square□ Add Work □\square□

Problem 11008

X 25 yd X = 7. १ 12 yd 15 yd

Problem 11009

Graph the quadratic y=4x2−3x+2y=4 x^{2}-3 x+2y=4x2−3x+2. Identify the yyy-value of the yyy-intercept. (1 point) □\square□

Problem 11010

[-/2 Points] DETAILS MY NOTES TGINTERALGH5 5.1.002.Fill in the blanks. In the exponential expression xn,xx^{n}, xxn,x is called the -- Select −⋯-\cdots−⋯, and nnn is called the -- Select −Υ-\Upsilon−Υ. Need Help? Road It Submit Answer

Problem 11011

Problem 11012

Find the median of the following data set. Assume the data set is a sample. 54,41,34,47,48,43,42,46,41,35,52,3954,41,34,47,48,43,42,46,41,35,52,3954,41,34,47,48,43,42,46,41,35,52,39

Problem 11013

The graph of y=x2y=x^{2}y=x2 is the solid black graph below. Which function represents the dotted graph?Answer y=(−x)2+3y=(-x)^{2}+3y=(−x)2+3 y=−(x+3)2y=-(x+3)^{2}y=−(x+3)2 Submit Answer 8 y=(−x)2−3y=(-x)^{2}-3y=(−x)2−3 y=−(x−3)2y=-(x-3)^{2}y=−(x−3)2

Problem 11014

וור 13 Beth says that the equation x + 3 = 5 has only one solution. Is Beth correct? Use the number line to help explain your reasoning. 0 + 2 3 4 95 +4 13 + 16 6 7 8 9 10 same quantity Lesson 22: Solving Equations 213 Suner Teacher

Problem 11015

Identify whether each given mapping diagram is a function below. Drag and drop "yes" or "no" to its appropriate places. □\square□

Problem 11016

The scores from the final exam in an English 101 course are given in the box plot. What was the average (median) score?Answer

Problem 11017

Problem 11018

Predict \#3If we changed the 2 to a 5 in the domain restriction x<2x<2x<2, what would happen to the graph? ±\sqrt{ \pm}±​ Share With Class

Problem 11019

Problem 11020

ike, Pedro, and Harry picked 10, 6, and 3 bushels of peaches, respectively. Find the following ratios of the quantities picked. Expres13. Pedro to Harry14. Ike to Pedro15. Ike to Harry16. Harry to Pedro17. Pedro to Ike and Harry18. Ike to Pedro and Harry

Problem 11021

The height, hhh, in centimetres, of a piston moving up and down in an engine cylinder can be modelled by the function h(t)=18sin⁡(50πt)+18h(t)=18 \sin (50 \pi t)+18h(t)=18sin(50πt)+18, where ttt is the time, in seconds. What is the piston's minimum height? a) -18 cm b) 9 cm c) 0 cm d) 18 cm

Problem 11022

Problem 11023

Which expressions can be used to find the measure of ∠θ\angle \theta∠θ ? Choose all that apply.

Problem 11024

Find the intercepts, extrema, inflection points, and vertical asymptotes of the function f(x)=4x3−300xf(x) = 4x^3 - 300xf(x)=4x3−300x with a domain of [−20,20][-20, 20][−20,20].

Problem 11025

Fill in the blanks. A second-degree polynomial function is also called a □\square□ function. A third-degree polynomial function is also called a □\square□ function. Need Help? Road It

Problem 11026

Problem 11027

A 17 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 2ft/s2 \mathrm{ft} / \mathrm{s}2ft/s, how fast will the foot be moving away from the wall when the top is 16 feet above the ground?The foot will be moving at 7.5ftt/s7.5 \mathrm{ftt} / \mathrm{s}7.5ftt/s.

Problem 11028

Consider the function graphed below.Determine the following information: a. Amplitude: □\square□ b. Period: □\square□ c. Equation of Midline: y=y=y= □\square□ Add Work

Problem 11029

Problem 11030

Use a compound angle formula to determine a trigonometric expression that is equivalent to sin⁡(x−4π3)\sin \left(x-\frac{4 \pi}{3}\right)sin(x−34π​).

Problem 11031

Use the graph below to answer the questions provided.What is the slope of the line?What is the yyy intercept of the line?Write the equation that represents the graph in slope intercept form?

Problem 11032

Grapt w' 515. The graph of f′(x)‾\underline{f^{\prime}(x)}f′(x)​ is given below. How may critical values does f(x)f(x)f(x) have? Justify your reasoning.Grapho of f′f^{\prime}f′

Problem 11033

The scores from the final exam in an English 101 course are given in the box plot. What was the range of scores?

Problem 11034

Problem 11035

Problem 11036

Determine the amplitude of the sinusoidal function y=−3sin⁡[2{x−π3)]+1y=-3 \sin \left[2\left\{x-\frac{\pi}{3}\right)\right]+1y=−3sin[2{x−3π​)]+1. a) -3 b) 2 c) 3 d) π3\frac{\pi}{3}3π​

Problem 11037

Use <,><,><,>, or === to compare the following numbers. \begin{tabular}{ccc} -3 & □\square□ & -12 \\ -5 & □\square□ & -8 \\ 9 & □\square□ & -4 \\ \hline \end{tabular}Start over

Problem 11038

Problem 11039

1. For the graph of f(x)=xf(x)=\sqrt{x}f(x)=x​, identify the transformation that would not be applied to

Problem 11040

Question 3 (1 point) The graph of y=cos⁡xy=\cos xy=cosx has a period of a) π\piπ b) 2π2 \pi2π c) 1 d) kkk

Problem 11041

Problem 11042

Problem 11043

Problem 11044

Problem 11045

Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.19 and a standard deviation of 1.49 . Using the empirical rule, what percentage of American women have shoe sizes that are no more than 11.17 ? Please do not round your answer.

Problem 11046

Which of the following ratios is equivalent to 2:3? A 12\frac{1}{2}21​ C 1213\frac{12}{13}1312​ B 46\frac{4}{6}64​ D 2025\frac{20}{25}2520​

Problem 11047

Problem 11048

Problem 11049

(3)

Lxpression Practice Test 2023 26103 POSSGLE POINTS 3.03
Select all expresitons below that are equivalent $10 \frac{3}{6} \times \frac{3}{6} \times \frac{3}{6}$ .

6. A large bathtub contains 425 gallons of water. After 5 minutes of draining, it has lost $32 \%$ of its volume of water. (a) What percentage of the water remains in (b) the tub after 5 minutes? Explain or justify. how many gallons of water remain after 5 minutes.

Find the domain of the function $f(x)=\frac{1}{5 x+4}$ . What is the only value of $x$ not in the domain? Only Value= $\square$ Add Work $\square$

Graph the quadratic $y=4 x^{2}-3 x+2$ . Identify the $y$ -value of the $y$ -intercept. (1 point) $\square$

[-/2 Points] DETAILS MY NOTES TGINTERALGH5 5.1.002.
Fill in the blanks. In the exponential expression $x^{n}, x$ is called the -- Select $-\cdots$ , and $n$ is called the -- Select $-\Upsilon$ . Need Help? Road It Submit Answer

Find the median of the following data set. Assume the data set is a sample. $54,41,34,47,48,43,42,46,41,35,52,39$

The graph of $y=x^{2}$ is the solid black graph below. Which function represents the dotted graph?
Answer $y=(-x)^{2}+3$ $y=-(x+3)^{2}$ Submit Answer 8 $y=(-x)^{2}-3$ $y=-(x-3)^{2}$

Identify whether each given mapping diagram is a function below. Drag and drop "yes" or "no" to its appropriate places. $\square$

The scores from the final exam in an English 101 course are given in the box plot. What was the average (median) score?
Answer

Predict \#3
If we changed the 2 to a 5 in the domain restriction $x<2$ , what would happen to the graph? $\sqrt{ \pm}$ Share With Class

ike, Pedro, and Harry picked 10, 6, and 3 bushels of peaches, respectively. Find the following ratios of the quantities picked. Expres
13. Pedro to Harry
14. Ike to Pedro
15. Ike to Harry
16. Harry to Pedro
17. Pedro to Ike and Harry
18. Ike to Pedro and Harry

The height, $h$ , in centimetres, of a piston moving up and down in an engine cylinder can be modelled by the function $h(t)=18 \sin (50 \pi t)+18$ , where $t$ is the time, in seconds. What is the piston's minimum height? a) -18 cm b) 9 cm c) 0 cm d) 18 cm

Which expressions can be used to find the measure of $\angle \theta$ ? Choose all that apply.

Find the intercepts, extrema, inflection points, and vertical asymptotes of the function $f(x) = 4x^3 - 300x$ with a domain of $[-20, 20]$ .

Fill in the blanks. A second-degree polynomial function is also called a $\square$ function. A third-degree polynomial function is also called a $\square$ function. Need Help? Road It

A 17 foot ladder is leaning against a wall. If the top slips down the wall at a rate of $2 \mathrm{ft} / \mathrm{s}$ , how fast will the foot be moving away from the wall when the top is 16 feet above the ground?
The foot will be moving at $7.5 \mathrm{ftt} / \mathrm{s}$ .

Consider the function graphed below.
Determine the following information: a. Amplitude: $\square$ b. Period: $\square$ c. Equation of Midline: $y=$ $\square$ Add Work

Use a compound angle formula to determine a trigonometric expression that is equivalent to $\sin \left(x-\frac{4 \pi}{3}\right)$ .

Use the graph below to answer the questions provided.
What is the slope of the line?
What is the $y$ intercept of the line?
Write the equation that represents the graph in slope intercept form?

Grapt w' 5
15. The graph of $\underline{f^{\prime}(x)}$ is given below. How may critical values does $f(x)$ have? Justify your reasoning.
Grapho of $f^{\prime}$

Determine the amplitude of the sinusoidal function $y=-3 \sin \left[2\left\{x-\frac{\pi}{3}\right)\right]+1$ . a) -3 b) 2 c) 3 d) $\frac{\pi}{3}$

Use $<,>$ , or $=$ to compare the following numbers. \begin{tabular}{ccc} -3 & $\square$ & -12 \\ -5 & $\square$ & -8 \\ 9 & $\square$ & -4 \\ \hline \end{tabular}
Start over

1. For the graph of $f(x)=\sqrt{x}$ , identify the transformation that would not be applied to

Question 3 (1 point) The graph of $y=\cos x$ has a period of a) $\pi$ b) $2 \pi$ c) 1 d) $k$

Which of the following ratios is equivalent to 2:3? A $\frac{1}{2}$ C $\frac{12}{13}$ B $\frac{4}{6}$ D $\frac{20}{25}$

Which inequality represents the following interval? $(-\infty, 5]$

Question 25 (1 point) Which of the following radian measures is the largest? a) $\frac{12 \pi}{9}$ b) None of the above C) $\frac{3 \pi}{2}$ d) $\frac{7 \pi}{4}$

Select the inequality shown $-3 \leq x \leq 4$ $-3<x \leadsto 4$ $-3<x \leq 4$ $-3 \leq x<4$

For $P(x)=2 x^{3}-3 x^{2}-10 x+3$ , the zeros can be written as $x=a$ and $x=\frac{b \pm \sqrt{c}}{4}$ , where $a, b, c \in I$ .
The value of $c$ is $\square$

Question 6 - 5 marks Which is the correct ratio for $\csc \theta$ ? a) $\frac{5}{13}$ b) $\frac{13}{5}$ c) $\frac{13}{12}$ d) $\frac{12}{5}$

13. There are 264 children going on a field trip. Are 5 buses enough if each bus holds 52 children? Tell how you decided.
Think about what information in the problem you need to compare.

13. There are 264 children going on a field trip. Are 5 buses enough if each bus holds 52 children? Tell how you decided.
Think about what information in the problem you need to compare.

The median of the values $24,9,-2,12,19$ is the number 11 . True False

$y \leq-x^{2}-5$

14. Higher Order Thinking Ginny earned $\$ 49.50$ for 6 hours of gardening and $\$ 38.60$ for 4 hours of babysitting. For which job did she earn more money per hour? How much more per hour did she earn? Explain how you found the answers.

Use the properties of logarithms to expand the following expression. $\log \sqrt[3]{\frac{x y^{4}}{z^{2}}}$

Is $(1,-1)$ a solution to this system of equations? $\begin{array}{l} y=-6 x+5 \\ y=x-2 \end{array}$ yes no
Submit

Is $(4,8)$ a solution to this system of equations? $\begin{array}{l} 17 x-4 y=15 \\ 15 x-7 y=4 \end{array}$ yes no submit

16 The age of a tree and the height of the tree. $\left.\square_{4}\right)$ (5 Points) Positive Negative None