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Lostsunrise [7]
3 years ago
5

A student finds the sum of the angle measures in an octagon by multiplying 7 • 180°. What is the student's error?​

Mathematics
1 answer:
Lostsunrise [7]3 years ago
7 0

The student should compute 6*180 = 1080 because of the formula

S = 180(n-2)

We have n = 8 sides which leads the n-2 part to become n-2 = 8-2 = 6

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According to survey​ data, the distribution of arm spans for males is approximately Normal with a mean of 71.4 inches and a stan
Gekata [30.6K]

Answer:

a) 89.97% of men have arm spans between 66 and 76 ​inches.

b) The z-score for this​ person's arm span is 5.68. 0% of males have an arm span at least as long as this​ person

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean of 71.4 inches and a standard deviation of 3.1 inches.

This means that \mu = 71.4, \sigma = 3.1

a. What percentage of men have arm spans between 66 and 76 ​inches?

The proportion is the pvalue of Z when X = 76 subtracted by the pvalue of Z  when X = 66. The percentage is the proportion multiplied by 100.

X = 76

Z = \frac{X - \mu}{\sigma}

Z = \frac{76 - 71.4}{3.1}

Z = 1.48

Z = 1.48 has a pvalue of 0.9306

X = 66

Z = \frac{X - \mu}{\sigma}

Z = \frac{66 - 71.4}{3.1}

Z = -1.74

Z = -1.74 has a pvalue of 0.0409

0.9306 - 0.0409 = 0.8997

0.8997*100% = 89.97%

89.97% of men have arm spans between 66 and 76 ​inches.

b. A particular professional basketball player has an arm span of almost 89 inches. Find the​ z-score for this​ person's arm span. What percentage of males have an arm span at least as long as this​ person?

Z = \frac{X - \mu}{\sigma}

Z = \frac{89 - 71.4}{3.1}

Z = 5.68

The z-score for this​ person's arm span is 5.68.

Z = 5.68 has a pvalue of 1

1 - 1 = 0

0% of males have an arm span at least as long as this​ person

8 0
3 years ago
8х + 9y = 20<br> х= -3y<br><br> HELP ASAP
Digiron [165]

Answer:

x=4, y=-4/3. (4, -4/3).

Step-by-step explanation:

8x+9y=20

x=-3y

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

8(-3y)+9y=20

-24y+9y=20

-15y=20

y=20/-15

simplify

y=-4/3

x=-3(-4/3)=12/3=4

5 0
3 years ago
Read 2 more answers
Which equation represents the relationship in the table?
Akimi4 [234]
D) y=14-5x
Hope this helps!
3 0
2 years ago
Which of the following are geometric sequences check all that apply
Nataliya [291]
The answer is A I hope this helps
6 0
2 years ago
Derive this equation<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B%28%20%7Bx%20%2B%201%29%7D%5E%7B2%7D%20%20%7D%20"
Ronch [10]

The derivative of the given function is,F'(x)= \frac{-6}{(x+1)^3}.The derivative of the function F(x) is F'(x).

<h3>What is differentiation?</h3>

A technique for determining a function's derivative is differentiation. Mathematicians use a procedure called differentiation.

The derivative of the equation is found as;

F(x)=\rm x^{-2} \\\\ F'(x) = nx^{n-1} \\\\ F(x)=\ \rm (x+1)^{-2} \\\\  F'(x)  = -2(x+1)^{-3} \\\\   F'(x)  =\frac{2}{(x+1)^3}

The given function is;

\rm F(x)= \frac{3}{(x+1)^2} \\\\  F'(x)= \frac{-6}{(x+1)^3}

Hence, the derivative of the given function is,F'(x)= \frac{-6}{(x+1)^3}.The derivative of the function F(x) is F'(x).

To learn more about the differentiation refer to;

brainly.com/question/14496325

#SPJ1

4 0
2 years ago
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