Combine like terms then you have your answers
Answer:
<u>The correct answer is that the number of different ways that the letters of the word "millennium" can be arranged is 226,800</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Number of letters of the word "millennium" = 10
Letters repeated:
m = 2 times
i = 2 times
l = 2 times
n = 2 times
2. The number of different ways that the letters of millennium can be arranged is:
We will use the n! or factorial formula, this way:
10!/2! * 2! * 2! * 2!
(10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)/(2 * 1) * (2 * 1) * (2 * 1) * (2 *1)
3'628,800/2*2*2*2 = 3'628,800/16 = 226,800
<u>The correct answer is that the number of different ways that the letters of the word "millennium" can be arranged is 226,800</u>
The pyramid has a greater volume.
The volume of the cone is 1436.7 ( to 5 sf )
The volume of the pyramid is 1437.3 ( to 5 sf )
Both of them is 1440 when rounded off to 3 sf. However , the volume of the pyramid is greater.
( so sorry I can’t explain well but I hope it helps )
The solution is in the picture:) hope you understand better!! Sorry if It’s confusing
Using the z-distribution, a sample of 142,282 should be taken, which is not practical as it is too large of a sample.
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:

The margin of error is:

In which:
is the sample mean.
is the standard deviation for the population.
Assuming an uniform distribution, the standard deviation is given by:

In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
The sample size is found solving for n when the margin of error is of M = 0.006, hence:





n = 142,282.
A sample of 142,282 should be taken, which is not practical as it is too large of a sample.
More can be learned about the z-distribution at brainly.com/question/25890103
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