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.
A. you are given that f(1)=5 therefore f(1) cannot also equal 1 unless it is a different equation.
Answer:
x = 9
Step-by-step explanation:

Subtract 6 from both sides.

Multiply both sides by 3.


Answer: x = 9
Answer:
Step-by-step explanation:
So since 9 is your radius because this is half a circle you want to use the equation piR^2 which is pi9^2, by solving this equation you end up with 254.34, which is the area of the semi-circle, now you need to find the area of the box but to solve this you would need the length and width and multiply them together to get the area of the box then subtract that by the area of the semi-circle and you get the shaded region