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Soloha48 [4]
2 years ago
5

Suppose the heights of the members of a population follow a normal distribution. if the mean height of the population is 65 inch

es and the
standard deviation is 3 inches, 99.7% of the population will have a height
within which range?
a. 59 inches to 71 inches
b. 53 inches to 77 inches
c. 62 inches to 68 inches
d. 56 inches to 74 inches
Mathematics
1 answer:
Ulleksa [173]2 years ago
8 0

Answer:

D) 56 inches to 74 inches

Step-by-step explanation:

By the Empirical Rule, 99.7% of data in a normal distribution spread across ±3σ standard deviations from the mean μ.

Hence, the range maximum is μ+3σ = 65+3(3) = 65+9 = 74 inches, and the range minimum is μ-3σ = 65-3(3) = 65-9 = 56 inches

Thus, 99.7% of the population will have a height within the range of 56 inches to 74 inches

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So listen to your teacher next time

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The width of a rectangle is 6n - 2.5 feet and the length is 2.5 + 8 feet. Find the perimeter of the rectangle.
ludmilkaskok [199]

I was thinking the measurement for ;length should be 2.5n + 8 feet since width is 6n -2.5 feet , but you gave 2.5+ 8 feet, so i will solve it in both ways

Answer:  Perimeter =  5 + 12n + 11 feet ; Perimeter =  17n+ 11 feet

Step-by-step explanation:

Using Length = 2.5+ 8 feet,

Perimeter of  a rectangle is calculated as 2( l+ b)

Given that width=6n - 2.5 feet

length =2.5 + 8 feet

Perimeter =2( l+ b)= 2L + 2B

Perimeter= 2(2.5 + 8feet ) + 2( 6n - 2.5 feet)

Perimeter = 5 + 16feet + 12n - 5feet

Perimeter =  5 + 12n + 11 feet

Using Length = 2.5n+ 8 feet,

Perimeter of  a rectangle is calculated as 2( l+ b)

Given that width=6n - 2.5 feet

length =2.5n+ 8 feet

Perimeter =2( l+ b)= 2L + 2B

Perimeter= 2(2.5n + 8feet ) + 2( 6n - 2.5 feet)

Perimeter = 5n + 16feet + 12n - 5feet

Perimeter =  5n + 12n + 11 feet

Perimeter =  17n+ 11 feet

6 0
3 years ago
Use Word to documents your comparison of the two years and explain your findings in at least two paragraphs. Including: Explain
pickupchik [31]

In statistics, the standard deviation deviation may be a measure of the quantity of variation or dispersion of a group of values. The margin of error may be a statistic expressing the number of sampling error within the results of a survey. The correlation could be a statistical measure of the strength of the connection between the relative movements of two variables.

Given nothing and that we need to explain standard deviation. margin of error, correlation coefficient .

Standard deviation

In statistics, the standard deviation may be a measure of the number of variation or dispersion of a group of values. an occasional variance indicates that the values tend to be near the mean of the set, while a high variance indicates that the values are detached over a wider range.

Formula: \sqrt{(x-x bar)^{2}/N }

where x bar is mean and N is size of population.

Margin of error

The margin of error may be a statistic expressing the quantity of sampling error within the results of a survey. The larger the margin of error, the less confidence one should have that a poll result would reflect the results of a survey of the complete population.

Formula for M=z*s/\sqrt{n}

here z is z value of Z score , s is variance , n is that the sample size.

Correlation coefficient

In statistics, the Pearson parametric statistic ― also called Pearson's r, the Pearson product-moment parametric statistic, the bivariate correlation, or colloquially simply because the coefficient of correlation ― could be a measure of linear correlation between two sets of information.

Formula=∑(x_{i} -x bar)(y_{i} -y bar)/\sqrt{}∑(x_{i} -x bar)^{2}∑(y_{i}-ybar) ^{2}

Learn more about correlation coefficient at brainly.com/question/4219149

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2 years ago
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The square root of 16 is 4
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3 years ago
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A bookstore has 5 boxes of 10 in each box on Monday the bookstore sold 20 books how many books remain to be sold?
AlekseyPX

Answer: 30

Step-by-step explanation: five boxes with ten each which means there's a total of 50 item if they sold 20 you would do 50 -20=30

8 0
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