When we make inferences about the difference of two independent population proportions, we assume that it is a random sample, and the number of successes and failures are at least 15 in each group.
Two independent proportions tests involve comparing the proportions of two unrelated datasets.
For these two datasets to be regarded as an independent population, the following must be true or assumed to be true
- The datasets must represent a random sample
- Each dataset must contain at least 15 successes and failures
Hence, the above highlights are the assumptions of two independent population proportions.
To learn more about independent populations from the given link
brainly.com/question/23989150
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Basically you find the data points and fill in the values. For Point J it is (2,4). They want you to do this: (2-4,4-6)...it then becomes (-2,-2).
So
J: (-2,-2)
K: (-1, -4)
I: (-2, -5)
Those are your new points. I hope this helps love! :)
Answer:
<u>P (not white) = 2/3</u>
Step-by-step explanation:
<u>Probability (not white)</u>
- No. of non-white marbles / Total marbles
- 8 + 14 + 10 / 8 + 16 + 14 + 10
- 32/48
- <u>2/3</u>
Answer: 8^3, Eight to the third power, Eight times eight times eight.
Answer:



Step-by-step explanation:
Given




Required
The dimension that minimizes the cost
The volume is:

This gives:

Substitute 


Make H the subject


The surface area is:
Area = Area of Bottom + Area of Sides
So, we have:

The cost is:



Substitute:
and 



To minimize the cost, we differentiate

Then set to 0


Rewrite as:

Divide both sides by W

Rewrite as:

Solve for 


Take cube roots

Recall that:







Hence, the dimension that minimizes the cost is:


