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Ugo [173]
2 years ago
14

If population function x has mean M(x)=2 and M(x²)=8, find its standard deviation​

Mathematics
1 answer:
sasho [114]2 years ago
6 0

The standard deviation of the population function is 2

<h3>How to determine the standard deviation?</h3>

The given parameters are:

M(x) = 2

M(x²)=8

The standard deviation is calculated using:

\sigma = \sqrt{M(x^2) - (M(x))^2

Substitute known values

\sigma = \sqrt{8 - 2^2

Evaluate the expression

\sigma = 2

Hence, the standard deviation of the population function is 2

Read more about standard deviation at:

brainly.com/question/15858152

#SPJ1

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The following histogram shows the relative frequencies of the heights, recorded to the nearest inch, of a population of women. T
Airida [17]

Answer:

The following histogram shows the relative frequencies of the height recorded to the nearest inch of population of women the mean of the population is 64.97 inches and the standard deviation is 2.66 inches

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

Answer:

0.22268

Step-by-step explanation:

z-score is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

At least means equal to or greater than 67 inches

z = 67 - 64.97/2.66

z = 0.76316

P-value from Z-Table:

P(x<67) = 0.77732

P(x>67) = 1 - P(x<67) = 0.22268

The probability that the selected woman will have a height of at least 67 inches is 0.22268

Step-by-step explanation:

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Tanzania [10]
Decimal moves towards right!
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Consider the polynomial function q(x) = 3x^4 – 5x^3 – 2x^2 + x – 18.
sergeinik [125]

Answer: As x —> positive infinity, q(x) —> positive infinity, and as x —> negative infinity, q(x) —> positive infinity

Step-by-step explanation:

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3 0
3 years ago
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Which situation would be represented by the integer 12?
eduard

Alll are integers since they are defined exactly.

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Solve x^2+ 4x =15<br> thxssss
dmitriy555 [2]

Answer:

x=3/5

Step-by-step explanation:

x^2+4x=5

x+4x=5x

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5/5x=3/5

<u>x=3/5</u>

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