1. Let (-7, 4) be a point on the terminal side of (theta). Find the exact values of sin(theta), csc(theta), and cot(theta).
2. Let (theta) be an angle in quadrant IV such that sin(theta)=-2/5. Find the exact values of sec(theta) and tan(theta).
3. Let (theta) be an angle in quadrant II such that csc(theta)=7/4. Find the exact values of tan(theta) and cos(theta).
4. Use a cofunction to write an expression equal to csc(3pi/8).
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The frequency table below shows the hourly wages of 22 factory workers.
How many are paid $10.50 per hour or more?
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1 point
Captionless Image
7
11
17
18
Adding up the frequency of the last two rows of the table, we get the total number of workers who are paid $10.50 per hour or more:
14 + 4 = 18
Therefore, 18 factory workers are paid $10.50 per hour or more. Answer: 18.
Researchers at Jackson Hospital asked 40 randomly selected patients about their sleep habits. Sixteen reported sleeping 8 hours or more each night. If there are 700 patients in the hospital, estimate the number of patients who sleep 8 hours or more each night.
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1 point
140
160
180
280
We can set up a proportion to estimate the number of patients who sleep 8 hours or more each night:
16/40 = x/700
Simplifying this proportion, we get:
0.4 = x/700
To solve for x, we can multiply both sides by 700:
x = 0.4 * 700 = 280
Therefore, we can estimate that 280 patients in the hospital sleep 8 hours or more each night. Answer: 280.
Which of the following types of information is suited for display on a double line graph?
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1 point
annual changes in Melody’s height and weight from 5 to 10 years old
number of Democrats and Republicans in the Senate during the past decade
monthly sales of two different types of cars during a one-year period
all of the above
Monthly sales of two different types of cars during a one-year period is suited for display on a double line graph as it allows us to compare and track the trends in sales between the two types of cars over time. Therefore, the correct answer is: Monthly sales of two different types of cars during a one-year period.
The list shows the final exam grades for Ms. Gold’s math class.
66, 98, 92, 91, 69, 55, 53, 90, 67, 74, 57, 58, 60, 59, 86, 92, 63, 55, 51, 84
Make a stem-and-leaf plot for the data.
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1 point
Option 1
Option 2
Option 3
Option 4
Here is the stem-and-leaf plot for the given data:
```
5 | 3 5 5 7 8
6 | 0 3 6 7 9
8 | 4 6
9 | 0 1 2
```
The stem-and-leaf plot below shows the number of miles run by members of the cross-country team.
How many students ran more than 30 miles?
Key= 1|2 = 12
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1 point
Captionless Image
3
5
8
9