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OverLord2011 [107]

3 years ago

14

what is the standard deviation of the following data? if necessary, round your answer to two decimal places. 100, 140, 130, 180,

80, 160

1 answer:

frez [133]3 years ago

8 0

The standard deviation of the following data is <span>33.87</span>

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Calculate the total area of the shaded region.

LUCKY_DIMON [66]

so hmmm seemingly the graphs meet at -2 and +2 and 0, let's check

$\stackrel{f(x)}{2x^3-x^2-5x}~~ = ~~\stackrel{g(x)}{-x^2+3x}\implies 2x^3-5x=3x\implies 2x^3-8x=0 \\\\\\ 2x(x^2-4)=0\implies x^2=4\implies x=\pm\sqrt{4}\implies x= \begin{cases} 0\\ \pm 2 \end{cases}$

so f(x) = g(x) at those points, so let's take the integral of the top - bottom functions for both intervals, namely f(x) - g(x) from -2 to 0 and g(x) - f(x) from 0 to +2.

$\stackrel{f(x)}{2x^3-x^2-5x}~~ - ~~[\stackrel{g(x)}{-x^2+3x}]\implies 2x^3-x^2-5x+x^2-3x \\\\\\ 2x^3-8x\implies 2(x^3-4x)\implies \displaystyle 2\int\limits_{-2}^{0} (x^3-4x)dx \implies 2\left[ \cfrac{x^4}{4}-2x^2 \right]_{-2}^{0}\implies \boxed{8} \\\\[-0.35em] ~\dotfill$

$\stackrel{g(x)}{-x^2+3x}~~ - ~~[\stackrel{f(x)}{2x^3-x^2-5x}]\implies -x^2+3x-2x^3+x^2+5x \\\\\\ -2x^3+8x\implies 2(-x^3+4x) \\\\\\ \displaystyle 2\int\limits_{0}^{2} (-x^3+4x)dx \implies 2\left[ -\cfrac{x^4}{4}+2x^2 \right]_{0}^{2}\implies \boxed{8} ~\hfill \boxed{\stackrel{\textit{total area}}{8~~ + ~~8~~ = ~~16}}$

7 0

2 years ago

The histogram shows the results of a survey that asked people how many hours of sleep they get each night. Which

Maru [420]

The true statements are

The mean is near the median.

The mean is the best measure of center.

The five-number summary is the best measure of variation

<h3>What is a histogram? </h3>

A histogram is used to represent data graphically. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval.

If the mean is greater than the median, the histogram would be skewed to the right. If the mean is less than the median, the histogram would be skewed to the left.

To learn more about histograms, please check: brainly.com/question/14473126

#SPJ1

6 0

2 years ago

PLZ HELP!! I NEED QUICKLY!!

Amiraneli [1.4K]

Answer:

(1, 1), (2, 2), (-3, -3), (4, 4), (-5, -5)

Step-by-step explanation:

You get a straight line. As you can see in the picture, the figure lies in the first and third quadrant.

4 0

2 years ago

Read 2 more answers

15. Which answer choice contains all the factors of 10? A. 1, 10 B. 1, 2, 5, 10 C. 1, 2, 5 D. 2, 5

nikitadnepr [17]

B. 1, 2, 5, 10 (To feel space)

7 0

3 years ago

Read 2 more answers

if 1 yard is equal to 2.54 cm convert 18 yards to meters. Round the answer to the nearest hundredth place

MrRissso [65]

Answer:

The answer is 45.72

Step-by-step explanation:

If 1 yard = 2.54 centimeters, you multiply each side by 18.

1*18=18

2.54*18=45.72.

18 yards=45.72 centimeters.

8 0

3 years ago