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bulgar [2K]
3 years ago
13

What is the square root of 18

Mathematics
1 answer:
kifflom [539]3 years ago
3 0

Answer:

4.24

Step-by-step explanation:

looked it up on google

google is never wrong

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A sociologist wishes to estimate the percentage of the United States population living in poverty. What size sample should be ob
andriy [413]

Answer:

a) We need a sample size of at least 705.

b) We need a sample size of at least 1692.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

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

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

a) If she uses 1999 estimate of 11.8% obtained from the Current Population Survey.

We need a sample of size at least n

n is found when M = 0.02, \pi = 0.118.

So

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

0.02 = 1.645\sqrt{\frac{0.118*0.882}{n}}

0.02\sqrt{n} = 1.645\sqrt{0.118*0.882}

\sqrt{n} = \frac{1.645\sqrt{0.118*0.882}}{0.02}

(\sqrt{n})^{2} = (\frac{1.645\sqrt{0.118*0.882}}{0.02})^{2}

n = 704.08

Rounding up

We need a sample size of at least 705.

b) She does not use any estimate.

Same thing as above, we just use \pi = 0.5 when do not use any estimate.

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

0.02 = 1.645\sqrt{\frac{0.5*0.5}{n}}

0.02\sqrt{n} = 1.645\sqrt{0.5*0.5}

\sqrt{n} = \frac{1.645\sqrt{0.5*0.5}}{0.02}

(\sqrt{n})^{2} = (\frac{1.645\sqrt{0.5*0.5}}{0.02})^{2}

n = 1691.2

Rounding up

We need a sample size of at least 1692.

4 0
2 years ago
Can you please help me with this question with the steps? <br> 8a^3 -2a^2+ 12a-3
KATRIN_1 [288]

I'm assuming you want to simplify the expression since it's not equal to anything.. you can't solve for "a" unless it's equal to something.

factor

8a³ - 2a²+ 12a - 3

2a²(4a - 1) + 3(4a -1)

 (4a - 1) is a like term that can be combined further.

(2a² + 3)(4a - 1)


6 0
3 years ago
Evaluate 3x+y when x=1/3 and y=−7/4. Write your answer as a fraction in simplest form.
SOVA2 [1]

Answer:

3x+y

=3*1/3-7/4

=1-7/4

=(4-7)/4

=-3/4

6 0
2 years ago
Find two consecutive numbers whose sum is 117
Serhud [2]
So,

x + y = 117
y = x + 1
x + x + 1 = 117

Collect Like Terms
2x + 1 = 117

Subtract 1 from both sides
2x = 116

Divide both sides by 2
x = 58

y = x + 1

y = 58 + 1

y = 59

The 2 consecutive integers are 58 and 59.
6 0
3 years ago
Read 2 more answers
25 POINTS AVAILABLE
myrzilka [38]

Answer:

\large\boxed{1.\ (-3, 0),\ r = 3}\\\boxed{2.\ (x+4)^2+(y-3)^2=36}\\\boxed{3.\ (x-2)^2+(y-1)^2=(\sqrt{34})^2}

Step-by-step explanation:

The equation of a circle in standard form:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

1. We have the equation:

(x+3)^2+y^2=9\\\\(x-(-3))^2+(y-0)^2=3^2

<h2 />

2. We have the center (-4, 3) and the radius r = 6. Substitute:

(x-(-4))^2+(y-3)^2=6^2\\\\(x+4)^2+(y-3)^2=36

3. We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)

Substitute:

h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute the coordinates of the points (2, 1) and (5, -4):

r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}

Finally we have:

(x-2)^2+(y-1)^2=(\sqrt{34})^2

7 0
3 years ago
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