Answer:
Step-by-step explanation:
1)22
2)40
3)44
4)62
5)26
6)55
7)29
8)45
9)The picture is not clear
10) 52
Step-by-step explanation:
well there is a very simple point that you have mistaken tho:
484cm², 25cm²
Areas are defined in square cm but the radius is in cm
so:

and there you go
Answer : 3, 360 ways
Total number of people running the race = 16
We have three slot to be filled for first, second and third
Any person can take the first position irrespective of the arrangement
one out of the 16 people can come first
out of the 15 people remaining , one person can also come second remaining 14
out of the 14 people, one person can also come third
The number of ways the gift can be awarded = 16 x 15 x 14
The nummber of ways the prizes can be awarded = 3360 ways
Using the binomial distribution, supposing that 0.3 of the callers have to wait more than 8 minutes to have their calls answered, it is found that there is a 0.3828 = 38.28% probability that at most 2 of the next 10 callers will have to wait more than 8 minutes to have their calls answered.
For each caller, there are only two possible outcomes, either they have to wait more than 8 minutes to have their calls answered, or they do not. The probability of a caller having to wait more than 8 minutes is independent of any other caller, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- 10 callers, hence

- Suppose that 0.3 of them have to wait more than 8 minutes, hence

The probability that <u>at most 2</u> of the next 10 callers will have to wait more than 8 minutes is:

Then




Then:

0.3828 = 38.28% probability that at most 2 of the next 10 callers will have to wait more than 8 minutes to have their calls answered.
A similar problem is given at brainly.com/question/25537909