Answer:
Step-by-step explanation:
let r be radius of the cylinder.
volume of cylinder=πr²h
1728π=πr²×12
r²=1728 π/12π=144
r=√144=12
diameter=2r=2×12=24 cm
Answer:
A certain company makes 12-volt car batteries. After many years of product testing, the company knows that the average life of a battery is normally distributed, with a mean of 50 months and a standard deviation of 9 months. If the company does not want to make refunds for more than 10% of its batteries under the full-refund guarantee policy, for how long should the company guarantee the batteries?
The company should guarantee the batteries for 38 months.
Step-by-step explanation:
Using standard normal table,
P(Z < z) = 10%
=(Z < z) = 0.10
= P(Z <- 1.28 ) = 0.10
z = -1.28
Using z-score formula
x = zσ + μ
x = -1.28 *9+50
x = 38
Therefore, the company should guarantee the batteries for 38 months.
The formula is Opposite/Hypotenuse
Answer:
- 9÷0.001 is greater than 8÷0.001.
- 7÷0.001 is less than 8÷0.001.
- 8÷0.002 lie between 8÷0.001 and 8÷110.
Step-by-step explanation:
- The division expression which is greater than 8÷0.001 is:
9÷0.001
Since, the numerator of the number 9÷0.001 is greater than 8÷0.001. and as their denominator is same.
so, the number whose numerator is greater than the other will result in the overall number to be greater.
- The division expression which is less than 8÷0.001 is 7÷0.001.
Since, for two numbers with same denominator the number whose numerator is smaller is smaller than the other.
- The division expression that lie between 8÷0.001 and 8÷110 is: 8÷0.002.
Since 8÷0.002 is greater than 8÷110, as for two numbers with same numerator but different denominator the number whose denominator is greater is a smaller number.
similarly 8÷0.002 is smaller than 8÷0.001.
