Hello,
Please, see the detailed solution in the attached file.
Thanks.
Answer:
There is sufficient evidence to support the claim that the standard deviation is less than 14.7.
Step-by-step explanation:
From the question we are told that that the null hypothesis is

Now given from the question that this null hypothesis was rejected, it mean, in non technical term that there is sufficient evidence to support the claim that the standard deviation is less than 14.7.
First, expand the terms inside the bracket you will get







Answer:
The answer to your question is only the second and the third are factors.
Step-by-step explanation:
Find the factors of 24x⁶ − 1029y³
First find the prime factors of 24 and 1029
24 2 1029 3
12 2 343 7 Then 24 = 2³3
6 2 49 7 1029 = 7³ 3
3 3 7 7
1 1
x⁶ = (x²)³ y³ = y³
Then
2³3(x²)³ - 7³ 3 y³
Factor 3 3[ 2³(x²)³ - 7³ y³]
Factor 3 [ (2x² - 7y)(4x⁴ + 14x²y + 49y²)]
Then
24
2x2 + 7y
4x4 + 14x2y + 49y2
All of the above
The answer to your question is w =40(2)n [n is in exponent form I just couldn’t type it that way ]