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SCORPION-xisa [38]
2 years ago
11

Select the correct answer. Which sentence correctly describes a data set that follows a normal distribution with a standard devi

ation of 4 and a mean of 14? A. 68% of the data points lie between 10 and 14. B. 68% of the data points lie between 8 and 12. C. 68% of the data points lie between 10 and 18. D. 68% of the data points lie between 10 and 16.
Mathematics
2 answers:
enot [183]2 years ago
8 0
Your correct answer will be option C for this question.
Artyom0805 [142]2 years ago
5 0

Answer: Option (c) is correct.

68% of the data points lie between 10 and 18.

Step-by-step explanation: Given :  a normal distribution with a standard deviation of 4 and a mean of 14

We have to choose the  sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.

Since, given 68% data.

We know mean of data lies in middle.

And standard deviation is distribute equally about the mean that is 50% of values less than the mean  and 50% greater than the mean.

So, 68% of data lies

mean - standard deviation = 14 - 4 = 10

mean + standard deviation = 14 + 4 = 18

So, 68% of the data points lie between 10 and 18.

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melisa1 [442]

<u>Part 1)</u> we have

5x+2y=16 ------> equation A

x+3y=12

x=12-3y ------> equation B

Substitute the equation B in equation A

5[12-3y]+2y=16

60-15y+2y=16

13y=44

y=44/13=3.38

Find the value of x

x=12-3(44/13)=1.85

the best approximation is the point (2.3)

therefore

<u>the answer Part 1) is the option C</u>

(2.3)

<u>Part 2) </u>we have

y=-x-2 ------> equation A

y=3x+2 ------> equation B

equate equation A and equation B

-x-2=3x+2

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x=-1

Find the value of y

y=-(-1)-2=-1

the solution is the point (-1,-1)

therefore

<u>the answer Part 2) is </u>

(-1,-1)


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3 years ago
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