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mash [69]
3 years ago
13

Which of the following sets of data will have the smallest Standard Deviation?

Mathematics
1 answer:
uranmaximum [27]3 years ago
6 0

Answer: D

Step-by-step explanation:

Standard Deviation σ2 =

Σ(xi - μ)2/N

=(1 - 5.3)2 + ... + (9 - 5.3)2/10

=68.1/10

= 6.81

σ = √6.81

= 2.60959767014

B) σ2 =

Σ(xi - μ)2/N

=(3 - 61.7)2 + ... + (99 - 61.7)2/10

=58414.1/10

= 5841.41

σ = √5841.41

= 76.429117488036

C) (1 - 11.4)2 + ... + (1 - 11.4)2/10

=8758.4/10

= 875.84

σ = √875.84

= 29.59459410095

D) (79 - 79)2 + ... + (79 - 79)2/10

=0/10

= 0

σ = √0

= 0

I hope this helps, mark as Brainliest please.

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One person can do a certain job in 15 minutes and another person can do the same job in 30 minutes. How many minutes will it tak
Flauer [41]

Hello! Your answer is B, 10 minutes.

Say the x = minutes taken to do the job. You can set up an equation like this to solve this.

\frac{1}{15} x + \frac{1}{30} x = 1

This is representative of the situation. The fractions each represent <u>how much each person does in a minute</u>, and when they're multiplied by x, that's <u>how much of the project they get done</u> based off of the minutes they work together on the job. Add the two together, and you get <u>how much of the project is finished in x amount of time</u>. Set it equal to 1, as you are looking for 100% completion.

Once you have this equation, find a common denominator, add, and solve.

\frac{1}{15} x + \frac{1}{30} x = 1

\frac{2}{30} x + \frac{1}{30} x = 1

\frac{3}{30}x = 1

\frac{1}{10}x = 1

x = 10

Therefore, it will take them 10 minutes to do the job together.

Hope this helps!

8 0
3 years ago
What is the nth term of the geometric sequence -2,10,-50
poizon [28]

Answer:

T_n=-1(-5)^n^-^1

Step-by-step explanation:

We are given;

A geometric sequence;

-2,10,-50

Required to determine the nth term

The nth term in a geometric sequence is given by the formula;

T_n=a_1r^n^-^1

where a_1 is the first term and r is the common ratio;

In this case;

a_1=-2

r = 10 ÷ -2

  = -5

Therefore;

To get the nth term in the given geometric sequence we use;

T_n=-1(-5)^n^-^1

Thus, the nth term is T_n=-1(-5)^n^-^1

3 0
3 years ago
What is the distributive property of 18(12)
Lesechka [4]

The distributive property of 18(12), or simply 18 * 12, is 216. (This is your answer.)

7 0
3 years ago
The perimeter of a square is 28x – 4.
Scorpion4ik [409]

Answer:

B

Step-by-step explanation:

Divide both 28x and -4 by 4 because a square has 4 equal sides. That comes out to 7x-1, therefore answer B is correct.

8 0
3 years ago
Triangle EFG is dilated by a scale factor of 3 centered at (0, 1) to create triangle E'F'G'. Which statement is true about the d
lesya [120]

Answer:

segment EH and segment E prime H prime both pass through the center of dilation.  

Step-by-step explanation:

Center of dilation is point (0.1), same as H. Both, E(0,5) and H(0,1) are placed over y-axis, then E' and H' are also located at y-axis.

After dilation, H' is placed at (0,1) because it coincides with the center of dilation

Distance between E and center of dilation is 4 units, then E' should be at 4*3=12 units from the center of dilation and over y-axis. Therefore, E' is placed at (0, 13)

So, segment E'H' goes from (0,1) to (0,13), and pass through the center of dilation, like segment EH.

4 0
3 years ago
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