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4vir4ik [10]
3 years ago
6

ga political candidate has asked you to conduct a poll to determine what percentage of people support her. if the candidate only

wants a 8% margin of error at a 95% cnofidence level, what size of sample is needed
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
7 0

Answer: 151

Step-by-step explanation:

if prior population proportion is unknown , then the formula is used to find the sample size :

n=0.25(\frac{z_{\alpha/2}}{E})^2

, where z_{\alpha/2} = Two tailed critical value for significance level of \alpha.

E = Margin of error.

Given : margin of error = 8%= .08

For 95% confidence level , two tailed critical value = 1.96

Now, the required sample size :

n=0.25(\frac{1.96}{0.08})^2\\\\=0.25(24.5)^2\\\\=150.0625\approx151

Hence, the size of the sample needed = 151.

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(8y²)(-3x²y²)(2/3xy⁴)<br><br> HELP PLEASEEEEEEEE
IRINA_888 [86]

Step-by-step explanation:

1 Remove parentheses.

8{y}^{2}\times -3{x}^{2}{y}^{2}\times \frac{2}{3}x{y}^{4}

8y

2

×−3x

2

y

2

×

3

2

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2 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

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a

×

d

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=

bd

ac

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\frac{8{y}^{2}\times -3{x}^{2}{y}^{2}\times 2x{y}^{4}}{3}

3

8y

2

×−3x

2

y

2

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4

3 Take out the constants.

\frac{(8\times -3\times 2){y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

(8×−3×2)y

2

y

2

y

4

x

2

x

4 Simplify 8\times -38×−3 to -24−24.

\frac{(-24\times 2){y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

(−24×2)y

2

y

2

y

4

x

2

x

5 Simplify -24\times 2−24×2 to -48−48.

\frac{-48{y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

−48y

2

y

2

y

4

x

2

x

6 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

a

x

b

=x

a+b

.

\frac{-48{y}^{2+2+4}{x}^{2+1}}{3}

3

−48y

2+2+4

x

2+1

7 Simplify 2+22+2 to 44.

\frac{-48{y}^{4+4}{x}^{2+1}}{3}

3

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8 Simplify 4+44+4 to 88.

\frac{-48{y}^{8}{x}^{2+1}}{3}

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8

x

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\frac{-48{y}^{8}{x}^{3}}{3}

3

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3

10 Move the negative sign to the left.

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−

3

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8

x

3

11 Simplify \frac{48{y}^{8}{x}^{3}}{3}

3

48y

8

x

3

to 16{y}^{8}{x}^{3}16y

8

x

3

.

-16{y}^{8}{x}^{3}

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8

x

3

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<em>Answer:</em>

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<em>Step-by-step explanation:</em>

<em>A complex number is a real number, an imaginary number or a number with both real and imaginary number. Its standard form is: </em>

<em>a + bi </em>

<em> </em>

<em>For the expression, 7/ 3-15i </em>

<em> </em>

<em>(7/ 3-15i) (3+15i) </em>

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