Answer: 20
Step-by-step explanation:
We assume that the heights of boys in a high school basketball tournament are normally distributed.
Given : Mean height of boys : 
inches.
Standard deviation: 
inches.
Let x denotes the heights of boys in a high school basketball tournament .
Then the probability that a boy is taller than 70 inches will be :-
![P(x> 70)=1-P(x\leq70)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{70-70}{2.5})\\\\=1-P(z\leq0)=1-0.5=0.5\ \ \text{[by using z-value table]}](https://tex.z-dn.net/?f=P%28x%3E%2070%29%3D1-P%28x%5Cleq70%29%5C%5C%5C%5C%3D1-P%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5Cleq%5Cdfrac%7B70-70%7D%7B2.5%7D%29%5C%5C%5C%5C%3D1-P%28z%5Cleq0%29%3D1-0.5%3D0.5%5C%20%5C%20%5Ctext%7B%5Bby%20using%20z-value%20table%5D%7D)
Now, the expected number of boys in a group of 40 who are taller than 70 inches will be :-
Hence, the expected number of boys in a group of 40 who are taller than 70 inches=20
Answer:
Step-by-step explanation:
domain (ur x values) = -3,-1,1,2
range (ur y values) = -3,1,2,4
do not have to write them more then once
answer is C
The shape PQRS is a parallelogram
- The measure of angle QRS is 70 degrees
- The measure of angle PQS is 53 degrees
- The measure of angle RPS is 35 degrees
- The measure of angle PSQ is 53 degrees
The given parameters are:
<u>(a) Find QRS</u>
This is calculated as:
So, we have:
Hence, the measure of angle QRS is 70 degrees
<u>(b) Find PQS</u>
This is calculated as:
So, we have:
Hence, the measure of angle PQS is 53 degrees
<u>(c) Find RPS</u>
This is calculated as:
Where:
So, we have:
Hence, the measure of angle RPS is 35 degrees
<u>(d) Find PSQ</u>
This is calculated as:
Where:
So, we have:
Hence, the measure of angle PSQ is 53 degrees
Read more about angles in a parallelogram at:
brainly.com/question/12186483
(X+3)^2+(y-2)^2= 16
The formula is (x-h)^2+(y-k)^2=r^2
