Answer:
Step-by-step explanation:

Answer:
98%
Step-by-step explanation:
You add 78 and 20.
Tell me if it is wrong.
Thank you.
Answer:
Length of the Rectangle = 10 inches
and Width = 25 inches
Step-by-step explanation:
Let the width of the rectangle = k inches
So, the Length of the rectangle = (3k - 5) inches
Perimeter = 70 inches
Now, Perimeter of the Rectangle = 2(Length + Width)
= 2 (k + (3k-5))
⇒ 2 (k + (3k-5)) = 70
or, 2(k + 3k -5) = 70 ⇒ 2(4k - 5) = 70
⇒ 8k - 10 = 70
or, 8k = 70+ 10 = 80
or, k = 80/8 = 10
So, the Length = 10 inches
Hence, Width = 3k - 5 = 3(10) - 5 = 30 - 5 = 25 inches
So, Length of the Rectangle = 10 inches
and Width = 25 inches
Answer:
--- test statistic
--- p value
Conclusion: Fail to reject the null hypothesis.
Step-by-step explanation:
Given


--- Null hypothesis
---- Alternate hypothesis

Solving (a): The test statistic
This is calculated as:

So, we have:






Solving (b): The p value
This is calculated as:

So, we have:

Look up the z probability in the z score table. So, the expression becomes


Solving (c): With
, what is the conclusion based on the p value
We have:

In (b), we have:

By comparison:

i.e.

So, we fail to reject the null hypothesis.