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DiKsa [7]
3 years ago
15

The expression 4x, x gives the perimeter of a square with a side length of xxx units.

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
5 0

Answer: 20 over 7 units

Step-by-step explanation:

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Please help me!!!!!!!! Factor z2 – 3z – 18
Vladimir [108]
First, the factor pairs for 18 are:
1, 18
2, 9
3, 6

Since the middle term is -3, the two factors must be 3 apart. The only pair that is 3 values apart is 3, 6.
Since the middle value is negative, the larger number is negative. This means that the 6 is negative.
z = -6
z = 3

Set each equal to 0;
z = -6
z + 6 = 0

z = 3
z - 3 =0
So your factors are (z+6) and (z-3), or answer B.
4 0
3 years ago
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained p
Studentka2010 [4]

Using the z-distribution, it is found that the needed sample sizes are:

a) 242

b) 1842

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which z is the z-score that has a p-value of \frac{1+\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

99% confidence level, hence\alpha = 0.99, z is the value of Z that has a p-value of \frac{1+0.99}{2} = 0.995, so z = 2.575.

Item a:

The estimate is:

\pi = 0.223 - 0.189 = 0.034

The sample size is <u>n for which M = 0.03</u>, then:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 2.575\sqrt{\frac{0.034(0.966)}{n}}

0.03\sqrt{n} = 2.575\sqrt{0.034(0.966)}

\sqrt{n} = \frac{2.575\sqrt{0.034(0.966)}}{0.03}

(\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.034(0.966)}}{0.03}\right)^2

n = 241.97

Rounding up, a sample of 242 is needed.

Item b:

No prior estimates, hence \pi = 0.5 is used.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 2.575\sqrt{\frac{0.5(0.5)}{n}}

0.03\sqrt{n} = 2.575\sqrt{0.5(0.5)}

\sqrt{n} = \frac{2.575\sqrt{0.5(0.5)}}{0.03}

(\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.5(0.5)}}{0.03}\right)^2

n = 1841.8

Rounding up, a sample of 1842 is needed.

For more on the z-distribution, you can check brainly.com/question/25404151

5 0
3 years ago
It takes 52 minutes for 5 people to paint 5 walls. How many minutes does it take 20 people to paint 20 walls?
Ainat [17]
It takes them 208 minutes to paint 20 walls.
5 0
3 years ago
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Who else about tired ash?!!
vovikov84 [41]

Answer:

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4 0
4 years ago
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Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving
Pachacha [2.7K]

Solution :

$y=x^{3/2}, \ \ y =8, \ \ x=0$

$v=2 \pi \int_0^4 x (8-x^{3/2}) \ dx$

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 $=2\pi \left( 4x^2-\frac{2}{7}x^{7/2}\ |_0^4$

 $=2\pi \left( 64-\frac{2}{7} \times 32 \times 4 \right)$

  $=2\pi \left(1-\frac{4}{7} \right) 64$

  $=128 \pi \times \frac{3}{7}$

 $=\frac{384 \pi}{7}$

7 0
3 years ago
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