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3 years ago

Evaluate the expression and enter the answer as a fraction in lowest terms, using the slash ( / ) for the fraction bar.

Mathematics

1 answer:

Evgen [1.6K]3 years ago

6 0

Answer:

9/35

Hope this helps :)

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Round 2,539 to the nearest tenth

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Answer:2,540

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2 years ago

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A researcher wishes to be 95% confident that her estimate of the true proportion of individuals who travel overseas is within 3%

andre [41]

Answer: a) 683 b) 1067

Step-by-step explanation:

The confidence interval for population proportion is given by :-

$p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}$

a) Given : Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}}=\pm1.96$

Margin of error : $E=0.03$

Formula to calculate the sample size needed for interval estimate of population proportion :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.2(0.8)(\dfrac{1.96}{0.03})^2=682.951111111\approx683$

Hence, the required sample size would be 683 .

b) If no estimate of the sample proportion is available then the formula to calculate sample size will be :-

$n=0.25(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.96}{0.03})^2=1067.11111111\approx1067$

Hence, the required sample size would be 1067 .

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3 years ago

A square has an area of 49 cm^2

crimeas [40]

To find area you need to multiply
length x width

Since 49 can be square rooted it equals seven

L x W = Area
Area = 7 x 7
Area = 49

Meaning since it’s a square the perimeter is
7 by 7 by 7 by 7 in other words 7 + 7 + 7 + 7 OR 7 x 4(equal sides)

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3 years ago

Four more than a number is no more than thirteen

statuscvo [17]

The equation would be 4+x $\leq$ 13.
Subtract 4 from both sides. The four on the left would cancel out and the 13 on the right would now be a 9. Therefore, the answer is $x \leq 9$

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3 years ago