Answer: 0.9104
Step-by-step explanation:
Given : A hardware store receives a shipment of bolts that are supposed to be 12 cm long.
Mean : 
Standard deviation : 
Sample size : n=10
Since, they will declare the shipment defective and return it to the manufacturer if the average length of the 100 bolts is less than 11.97 cm or greater than 12.04 cm.
So for the shipment to be satisfactory, the length of the bolts must be between 11.97 cm and 12.04 cm.
We assume that the length of the bolts are normally distributed.
Let X be the random variable that represents the length of randomly picked bolt .
For Z score : 
For x = 11.97

For x = 12.04

By using the standard normal distribution table , the probability that the shipment is found satisfactory will be :-

Hence, the probability that the shipment is found satisfactory=0.9104
The fica tax rate from employer will be 7.65 % of the salary.
= 7.65 % x $ 2,200
= $ 168.3
Multiply it by 52 if you want yearly number
Answer:
Step-by-step explanation:
Let the two whole numbers be 5x and 2x then
by the question
5x - 2x = 33
3x = 33
x = 33/3
x = 11
Therefore the numbers are
- 5x = 5*11 = 55
- 2x = 2*11 = 22
hope it helps:)
Answer:
461.8
Step-by-step explanation:
V=(1/3) πr^2h
V=(1/3)π(7^2)9
V=461.8
Sorry inputed wrong in calculator first time
Answer:
Step-by-step explanation:
0=4 ther is just one solution