Answer:
The condition are
The Null hypothesis is 
The Alternative hypothesis is
The check revealed that
There is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is n = 20
The sample mean is 
The standard deviation is 
The Null hypothesis is 
The Alternative hypothesis is
So i will be making use of
level of significance to test this claim
The critical value of
from the normal distribution table is 
Generally the test statistics is mathematically evaluated as

substituting values


Looking at the value of t and
we see that
so we fail to reject the null hypothesis
This implies that there is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.
Answer:
534 is the mean.
Step-by-step explanation:
to calculate the mean you add all the numbers together (for example this set of numbers):
785, 585, 465, 409, 495, 465
=3204
then divide the number of numbers that you added together , (in this case 6)
3204/6
=
534
Answer:

Step-by-step explanation:
We are asked to find the volume of the cylinder. The formula for calculating a cylinder's volume is:

We know the height of the cylinder is 8 feet. We are given the diameter, the distance from edge to edge through the center. We want to find the radius, the distance from the edge to the center.
The radius is half the diameter.
- r = d/2
- r= 10 ft/2
- r=5 ft
We know both variables (h= 8ft and r=5 ft) and can substitute them into the formula.

Solve the exponent.

Multiply the numbers in parentheses.


The volume of the cylinder is <u>200π cubic feet and choice C is correct.</u>
.83
25 bus riding sophomores / 30 sophomores
Answer:
x=28
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x+5+x−5=56
x+5+x+−5=56
(x+x)+(5+−5)=56(Combine Like Terms)
2x=56
2x=56
Step 2: Divide both sides by 2.
2x/2=56/2
x=28
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