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Alex787 [66]
3 years ago
8

Sally wants to find out what number is 165% of 340. If w represents this unknown number, which proportion can Sally use to find

w?
Mathematics
2 answers:
Mariana [72]3 years ago
5 0
165/100 x 340 = w
56100/100 = w
w = 561
coldgirl [10]3 years ago
5 0
340 multiplies by 165% or 1.65
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\left(\overline x-Z_{\alpha/2}\dfrac\sigma{\sqrt n},\overline x+Z_{\alpha/2}\dfrac\sigma{\sqrt n}\right)

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a) For a confidence level of 1-\alpha=0.90, we have Z_{\alpha/2}=Z_{0.05}\approx1.64. So in order to have a margin of error of at most 25 points, we have

1.64\dfrac{250}{\sqrt n}=25\implies n\approx268.96

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b) A confidence interval with a higher confidence level would more closely approximate and reflect the population, so it stands to reason that Luke should collect a larger sample than Raina to meet his 99% confidence spec.

c) For a confidence level of 1-\alpha=0.99, we have Z_{\alpha/2}=Z_{0.005}\approx2.58. Then the margin of error would at most satisfy

2.58\dfrac{250}{\sqrt n}=25\implies n\approx665.64

so that Luke should collect a sample of at least 666 students.

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3 years ago
Amanda wants to carpet the floor of her bedroom, shown in the figure. She needs to calculate the area of the floor to determine
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Answer:

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