Tyrone has 58 movies in his collection. He wants to estimate the average length, in minutes, per movie in his collection. So, he wrote down the length of 10 random movies. The lengths are listed below.

101, 128, 142, 87, 142, 101, 128, 101, 142, 87

Assuming that the sample was representative of the entire collection, what was the mean number of minutes per movie?
A.
135
B.
115.9
C.
94
D.
121.5

To find the mean number of minutes per movie, we first need to calculate the sum of all the lengths given: 101 + 128 + 142 + 87 + 142 + 101 + 128 + 101 + 142 + 87 = 1069

Next, we divide this sum by the number of movies in the sample, which is 10: 1069 / 10 = 106.9

Therefore, the mean number of minutes per movie in Tyrone's collection is 106.9 minutes.

So, the closest answer choice is B. 115.9.

I apologize for the miscalculation. Let's correct it:

The sum of the movie lengths is 101 + 128 + 142 + 87 + 142 + 101 + 128 + 101 + 142 + 87 = 1079.

Dividing by the number of movies in the sample (10), we get 1079 / 10 = 107.9

So, the mean number of minutes per movie in Tyrone's collection is 107.9 minutes.

Therefore, the closest answer choice is still B. 115.9.

you sure its B

Mary earns $5 per hour as a waitress. Last week she took home her regular earnings of $5 per hour plus $190 in tips for a total of $305. Which equation can be used to find how many hours, h, Mary worked last week?

A.
$305 = $190h + $5
B.
$305 = $190h - $5
C.
$305 = $5h - $190
D.
$305 = $5h + $190

The total amount Mary earned last week is comprised of her regular earnings, which are $5 per hour, and her tips which are $190. This can be represented by the equation:

Total Earnings = Regular Earnings + Tips
$305 = $5h + $190

Therefore, the correct equation to find how many hours Mary worked last week is D. $305 = $5h + $190.

you sure its D

Apologies for the oversight. Let's double-check the equation:

The total amount Mary earned last week is comprised of her regular earnings, which are $5 per hour, and her tips which are $190. This can be represented by the equation:

Total Earnings = Regular Earnings + Tips
$305 = $5h + $190

Therefore, the correct equation to find how many hours Mary worked last week is D. $305 = $5h + $190.

Yes, the correct equation is D. Thank you for your patience.

Which of the following is an example of random sampling?

A.
The school newspaper asks teachers in that middle school how they feel about the behavior of twelve year old boys.

B.
Migrant workers are surveyed on their opinion of mandatory health insurance for companies.

C.
The manager of a restaurant asks customers their opinion on a new salad dressing.

D.
A national survey company picks one phone number from each area code in America to call and ask for an opinion on current political issues.

D. A national survey company picks one phone number from each area code in America to call and ask for an opinion on current political issues.

This is an example of random sampling because the survey company is selecting a representative sample from a widely distributed population without any bias. Each phone number has an equal chance of being selected, making it a random sample.

Genevieve conducted an experiment in which she spun a spinner with four equal-sized sections: green, yellow, red, and blue. The results of her experiment are shown below.

Genevieve's Experiment
Spin Result
1 green
2 green
3 red
4 red
5 green
6 blue
7 yellow
8 green
9 green
10 yellow
Spin Result
11 yellow
12 green
13 red
14 blue
15 green
16 yellow
17 red
18 yellow
19 blue
20 green

Which letter has an experimental probability equal to its theoretical probability?
A.
green
B.
yellow
C.
blue
D.
red