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timofeeve [1]
2 years ago
10

Use the standard deviation values of the two samples to find the standard deviation of the sample mean differences.

Mathematics
1 answer:
larisa86 [58]2 years ago
8 0

The standard deviation of the sample mean differences is 4.854

<h3>How to determine the standard deviation of the sample mean differences?</h3>

The table of values is given as:

<u>Sample      Standard deviation</u>

Red box     3.868

Blue box   2.933

The standard deviation of the sample mean differences is calculated using:

\sigma = \sqrt{\sigma_1^2 + \sigma_2^2}

This gives

\sigma = \sqrt{3.868^2 + 2.933^2}

Evaluate the expression

\sigma = 4.854

Also, the table of value do not give any information regarding the sample size.

This means that the sample size of the session regarding the number of people would purchase the red box and the blue box are unknown

Hence, the standard deviation of the sample mean differences is 4.854

Read more about standard deviation at:

brainly.com/question/15858152

#SPJ1

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The first three terms of an arithmetic progression are m,12 and n . Find the value of m+n​
Vera_Pavlovna [14]
<h3>Answer:  24</h3>

===========================================

Explanation:

There are a few approaches. Here's one way to solve.

Let d be the common difference between the terms.

We add d to each term of this arithmetic sequence to get the next term.

  • First term = m
  • Second term = 12 = m+d
  • Third term = n = (m+d)+d = m+2d

Focusing on the second equation, we can solve for d like so

m+d = 12

d = 12-m

This is then plugged into the third equation

n = m+2d

n = m+2(12-m)

n = m+24-2m

n = 24-m

Therefore,

m+n = m+(24-m) = 24

It turns out that it doesn't matter what m and n are because m+n is always equal to 24 in this case.

-----------------

A more concrete example:

Let's say m = 2. We won't set up n just yet but we'll be able to compute it fairly soon.

Since m = 2, this means d = 12-m = 12-2 = 10. This is the gap between adjacent or neighboring terms.

If d = 10, then the third term must be n = 12+d = 12+10 = 22

We can then see that m+n = 2+22 = 24

-----------------

I'll do another example:

m = 5

d = 12-m = 12-5 = 7

n = 12+d = 7 = 19

m+n = 5+19 = 24

Whenever in doubt, or if you get stuck, it helps to come up with actual numeric values to hopefully clear things up.

-----------------

An alternative way to get the answer:

Let's try to determine what m+n is actually saying. We have 12 right in the middle of the first term (m) and third term (n). Because the gap between the numbers is the same (that being d), we know that 12 is the midpoint of m and n. It might help to draw out a number line to see what's going on.

The midpoint of m and n is (m+n)/2

Set this equal to 12 and isolate the "m+n"

(firstTerm+thirdTerm)/2 = second term

(m+n)/2 = 12

m+n = 2*12

m+n = 24

So in general, if the first three terms of the arithmetic sequence are m, k, n, then m+n = 2k.

3 0
3 years ago
Find the mean of this set of numbers.
Lilit [14]
The answer would C. You must remember for the mean you need to add up all of the numbers, then divide the answer by the number of numbers you have.
Ex:
5,3,7,2,1
All of these numbers added up together is 18.In order to find out the mean, we need to divide the answer(18) by 5 because there are 5 numbers.
Hope this helps!
4 0
2 years ago
Write in exponential notation
r-ruslan [8.4K]

Answer:

12^5

Step-by-step explanation:

12^5 means 12*12*12*12*12 (5 twelves)

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92% of what number is 115 ?
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\frac { 92 }{ 100 } \cdot n=115\\ \\ 92n=11,500\\ \\ n=\frac { 11,500 }{ 92 } \\ \\ \therefore \quad n=125
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