Question

1) The mean hourly salary of the 10 employees at a fast-food restaurant is $8.25. One of the employees earning $6.50 an hour leaves the company, and another employee is hired at $5.50 an hour. What is the new mean salary of the employees?

2) Rachel flips a coin 150 times and finds that the probability of the coin landing heads up is 1/2. Rachel wants to flip the same coin 15 more times. On the first 14 flips, the coin lands heads up. Which statement BEST describes the probability of the coin landing heads up on the 15th flip?


The probability of the coin landing heads up is 1/2

The probability of the coin landing heads up is 1/15

The probability of the coin landing heads up is 14/15

The probability of the coin landing heads up is 1.

Answer 1

Do you know how to calculate the mean of a set of data?

Answer 2

Yes, you add all the values together and then divide it by the number of values there are. @mathstudent55

Answer 3

Great.
There are 10 employees. They have a mean salary of $8.25.
How was that mean calculated?

Answer 4

They added together the salary of the 10 employees?

Answer 5

Correct. Then they divided the total by 10.
You know the mean, and you know there are 10 employees.
What was the total of the salaries?

Answer 6

82.5

Answer 7

Since 82.5/10 would equal $8.25

Answer 8

Good.
Now you need to find the new total using the new salaray instead of the old one.

Answer 9

new total of salaries = $82.50 - $6.50 + $5.50
ok?

Answer 10

Then divide the new total by the number of employees to find the new average salary.

Answer 11

The new salary would be $8.15 right? @mathstudent55

Answer 12

Correct.
Good job1

Answer 13

Thank you! @mathstudent55

Answer 14

Do you need help on the second question?
If so, you need to complete it. Info is missing from it as well as the options.

Answer 15

Yes I do, and hold on I'll fix it right now

Answer 16

You're welcome.

Answer 17

2) Rachel flips a coin 150 times and finds that the probability of the coin landing heads up is \(\bf \color{red}{missing~ fraction}\). Rachel wants to flip the same coin 15 more times. On the first 14 flips, the coin lands heads up. Which statement BEST describes the probability of the coin landing heads up on the 15th flip?

Answer 18

The missing fraction is 1/2, sorry!

Answer 19

Please don't delete your first question.
These questions stay on OS for others to see.
Since your first question is answered above, it can be a good help to someone else who needs to answer it.

Answer 20

Yes, I understand that. But I wasn't able to fit in the the answer choices so I deleted it, I should've just commented them but I wasn't thinking.

Answer 21

Ok.
The coin has a 1/2 probability of landing heads up and 1/2 probability of landing on tails up. This means that in the long run, after many, many flips you should get the same number of heads and tails.

Answer 22

In other words, even if at times you get a few or even many heads or tails in a row, the results will even up eventually after many, many tosses.

Answer 23

So it'll still be 1/2 of a probability?

Answer 24

By flipping the coin 150 times she knows the probability of landing heads or tails is still 1/2 for any single coin toss.

Answer 25

You are correct.

Answer 26

Good job again.

Answer 27

Again, thank you for all your help (:

Answer 28

You were able to re-post the first question?
Great, well done.
You're welcome.