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dedylja [7]
3 years ago
10

How many people were included in the sample shown below?

Mathematics
2 answers:
sattari [20]3 years ago
8 0

Answer:

18 people

Step-by-step explanation:

Add together all the dot values.

3 + 5 + 4 + 3 + 2 + 0 + 1 = 18 dots

18 dots means 18 people, as long as one dot = one person.

masha68 [24]3 years ago
6 0

Answer:

its D (18)

Step-by-step explanation:

I counted '-'

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Find the volume of the solid formed by revolving the region bounded by LaTeX: y = \sqrt{x} y = x and the lines LaTeX: y = 1 y =
Strike441 [17]

Answer:

The volume is:

\displaystyle\frac{37\pi}{10}

Step-by-step explanation:

See the sketch of the region in the attached graph.

We set the integral using washer method:

\displaystyle\int_a^b\pi r^2dx

Notice here the radius of the washer is the difference of the given curves:

x-\sqrt{x}

So the integral becomes:

\displaystyle\int_1^4\pi(x-\sqrt{x})^2dx

We solve it:

Factor \pi out and distribute the exponent (you can use FOIL):

\displaystyle\pi\int_1^4x^2-2x\sqrt{x}+x\,dx

Notice: x\sqrt{x}=x\cdot x^{1/2}=x^{3/2}

So the integral becomes:

\displaystyle\pi\int_1^4x^2-2x^{3/2}+x\,dx

Then using the basic rule to evaluate the integral:

\displaystyle\pi\left[\frac{x^3}{3}-\frac{2x^{5/2}}{5/2}+\frac{x^2}{2}\right|_1^4

Simplifying a bit:

\displaystyle\pi\left[\frac{x^3}{3}-\frac{4x^{5/2}}{5}+\frac{x^2}{2}\right|_1^4

Then plugging the limits of the integral:

\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(4)^{5/2}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]

Taking the root (rational exponents):

\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(2)^{5}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]

Then doing those arithmetic computations we get:

\displaystyle\frac{37\pi}{10}

6 0
3 years ago
The population of the United States was about 280 million in 2000 and about 310 million in 2010. What was the annual rate of cha
JulsSmile [24]

To find the annual rate of chnge, we have to use the following formula

\frac{P(2010)-P(2000)}{2010-2000}

P(2010) represents the population in the year 2010 and P(2000) represents the population in the year 2000 .

Substituting the values, we will get

\frac{310-280}{2010-2000} = \frac{30}{10} = 3 \ million \ per \ year

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3 years ago
Need an answer for question 7 HURRY PLEASE 20 POINTS
Andrei [34K]

Answer:

2x^2 = 6x - 5.

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These have only complex roots/

Step-by-step explanation:

3x^2 - 5x = -8

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Here the discriminant D = (-5)^2 - 4*-5*8 = 25 + 160

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12x = 9x^2 + 4

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- Real roots.

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B.) would be the answer
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may be this

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