Answer: a) 0.6141
b) 0.9772
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
The formula for z -score :

a) Sample size = 1
For x= 63 in. ,

The p-value = 

Thus, the probability is approximately = 0.6141
b) Sample size = 47
For x= 63 ,

The p-value = 

Thus , the probability that they have a mean height less than 63 in =0.9772.
Answer:
x=5
Step-by-step explanation:
i think you posted this question twice, but here it is:
in order for this figure to truly be a kite, AD and AB have to be equal.
So:
4x=x+15
now we must solve the equation:
3x=15
x=5
E plus c equal G then smoke that zara
Answer:
187 cm²
Step-by-step explanation:
The bottom rectangle area is easy, it is 15*9 = 135 cm².
To find the area of the triangle, you only need the base width and its height (you don't need the hypotenuse). You can then use the formula: area triangle is base times half height.
The base width is 15-7 = 8 cm
The height is 22-9 = 13 cm
So the area of the triangle is 13*8/2 = 52 cm²
Together with the 135 of the rectangle that sums to 52+135 = 187 cm².
Answer:
42 ft
Step-by-step explanation:
2(L + W ) = P
2 (12 + 9) = P
2 (21) = P
42 = P
P = 42