Answer: 0.8490
Step-by-step explanation:
Given : The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.0 inches and a standard deviation of 0.9 inches.
i.e.
and 
Let x denotes the lengths of aluminum-coated steel sheets.
Required Formula : 
For n= 36 , the probability that the average length of a sheet is between 29.82 and 30.27 inches long will be :-

∴ Required probability = 0.8490
Answer$32
Step-by-step explanation:
125 divided by 2 = 31.25 +00.05+32
The cost of 1 battery is 0.43
Step-by-step explanation:
Let the cost of 1 battery be x
We are given that the torch costs 11 times as much as the battery
Cost of torch = 11x
Total cost of 1 battery and torch = 11x+x=12x
Tim pays $10
He receives change of $4.84
Total cost of 1 torch and battery = 10 - 4.84 =$5.16
So,


Hence the cost of 1 battery is 0.43
Answer:
f(x)=1/4(5-x)²
Step-by-step explanation:
f(11)=1/4(5-11)²
1/4(-6)²
1/4(36)
=9
Answer: 6/14 and 42/99
Step-by-step explanation: