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andrew11 [14]
3 years ago
8

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Mathematics
1 answer:
Brrunno [24]3 years ago
4 0
Huh? What is this? Please do not spam here. Thank you.
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A 90% confidence interval for a proportion is found to be (0.62, 0.68). What is the sample proportion?
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B. 0.65

Step-by-step explanation:

Sample proportion is the point estimate of the population proportion which is at the centre of the interval

(0.62+0.68)/2

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0.65

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Solve x2 – 7x = –13.
aleksklad [387]

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x^{2} -7x=-13

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x^{2} -7x+3.5^{2}=-13+3.5^{2}

x^{2} -7x+12.25=-13+12.25

x^{2} -7x+12.25=-0.75

Rewrite as perfect squares

(x-3.5)^{2}=-0.75

remember that

i=\sqrt{-1}

Square root both sides

(x-3.5)=(+/-)\sqrt{-0.75}

(x-3.5)=(+/-)\sqrt{-1*0.75}

(x-3.5)=(+/-)\sqrt{0.75}i

x1=3.5+\sqrt{0.75}i

x2=3.5-\sqrt{0.75}i

Simplify

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x1=3.5+\frac{\sqrt{3}}{2}i

x2=3.5-\frac{\sqrt{3}}{2}i

therefore

<u>the answer is</u>

x1=3.5+\frac{\sqrt{3}}{2}i

x2=3.5-\frac{\sqrt{3}}{2}i

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