Answer: 0.4302
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Sample size : 
Also, these distances are normally distributed.
Then , the formula to calculate the z-score is given by :-

For x=32.5

For x=40.5

The p-value = 

Hence, the required probability :-0.4302
Answer:
2np + p²
Step-by-step explanation:
The general formula for the area of a square is A = s², where s = the length of one side of the square. In the case of the smaller square the area would be: n x n = n². Since the side of the larger square is 'p' inches longer, the length of one side is 'n + p'. To find the area of the larger square, we have to take the length x length or (n +p)².
Using FOIL (forward, outside, inside, last):
(n + p)(n+p) = n² + 2np + p²
Since the area of the first triangle is n², we can subtract this amount from the area of the larger square to find out how many square inches greater the larger square area is.
n² + 2np + p² - n² = 2np + p²
Answer:
1- A
2- C
3- B
4- D
Step-by-step explanation:
87/150=0.58
0.58*100=58
$87 is 58% of $150
Good luck!
Answer:
20
The denominators of 3
/10 and 1
/4 are 10 and 4.
The factors of 10 are 2
×
5 and 2
×
2
Therfore the LCD should have two 2's and one 5.
This means the answer is:
2
×
2
×
5
=
<u>20</u>
I hope this helps :)