Answer:
The constant of variation is 5
Step-by-step explanation:
We know direct variation is of the form
y = kx
We know y =25 and x=5
25 = k*5
Divide each side by 5
25/5 = 5k/5
5 = k
7.1 is the correct answer
Answer: 0.9996
Step-by-step explanation:
Given : The monthly electrical utility bills of all customers for the Far East Power and Light Company are known to be normally distributed with a mean 
Standard deviation : 
Sample size : n=100
Let X be the random variable that represents the electricity utility bill for a randomly selected month .
z-score : 
For X = $75.00

Now, the probability that the average bill for those sampled will exceed $75.00 will be :-

Hence, the probability that the average bill for those sampled will exceed $75.00 =0.9996
Answer:
847π mm³
Step-by-step explanation:
The volume of a cone is exactly <em>one third </em>the volume of a cylinder with the same radius and height. The volume of our cylinder is 2541 mm³, so the cone inside it must have a radius of 1/3 × 2541 = 847 mm³
Answer:
the answer will be 9/ 36
Step-by-step explanation: