<h2>
Answer with explanation:</h2>
Let 
be the average weight of chocolate chips in each bag.
As per given , we have
Since 
is left-tailed , so we perform a left-tailed test.
Also, the population standard deviation is known 
.
So we use z-test.
Test statistic : 
Substitute given value ,
Significance level = 0.05
Decision rule : Reject 
when p-value < 0.05.
By z-table , P- value for left-tailed test = P(z<-1.96)= 1- P(z<1.96)
[∵ P(Z<-z)=1-P(Z<z)]
= 1- 0.9750
=0.025
Since , P-value(0.025) < 0.05 , so we reject the null hypothesis.
We support the claim that the machine is underfilling the bags at 0.05 significance level .
Answer:
Let x = the length
Let P = the perimeter of the first pool
48 = (1/3)P
144 feet = P
P = 2l + 2w
144 = 2x + 2(24)
144 = 2x + 48
96 = 2x
48 feet = x
The area of sector is 1.57 m²
<u>Explanation:</u>
Given:
Radius, r = 3 m
Central angle of a sector = 1/9π radians
Area of sector, A = ?
We know:
Area of sector, A = 
where,
α is the central angle in radians
On substituting the value we get:
Therefore, the area of sector is 1.57 m²
1. Angle addition postulate (this could be wrong)
2. Definition of bisect
3. Definition and postulate
4. Screenshot at the bottom
Last one I can't help, my bad.
