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: 1/3 and -1/3
Step-by-step explanation:
Answer:

Step-by-step explanation:
We want to find the equation of the line that goes through: !6,-10) and is perpendicular to the line

Let's simplify the equation of the line to get:


The slope of this line is -5.
The perpendicular to this line has a slope of

The equation going through (6,-10) is

We substitute to get;

Expand;


Answer:
Step-by-step explanation:
y=3x+3, y=6x-6
6x-6=3x+3
3x=9
x=3
Step-by-step explanation:
Number of students who wore a hat
= 4/7 * Number of students who bought a ticket
= 4/7 * 350 students
= 200 students.
Number of students not wearing a hat
= Number of students who bought a ticket - Number of students who wore a hat
= 350 students - 200 students
= 150 students.