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Naya [18.7K]
2 years ago
6

A triangle has a base of x^1/3 m and a height of x^1/2 m. If the area of the triangle is 16 m^2​, what are the base and height o

f the​ triangle?
The base is....and the height is......
Mathematics
1 answer:
Sliva [168]2 years ago
7 0
Area = (base times height) / 2

Can rewrite it as

A= b * h * 1/2

16 = (x^(1/3)) * ( x^(1/2)) * (1/2))
Multiply by 2 to simplify
32 = x^(1/3) * x^(1/2)
32=x ^(5/6)
X=64

Base = 4
Height = 8

Please look below at how you multiply variables that have fractions as exponents (you need to add the exponents, common denominator and all that)

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A researcher wants to estimate the percentage of all adults that have used the Internet to seek pre-purchase information in the
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Answer:

The sample size is 1875.

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}}

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99.74% confidence level

So \alpha = 0.0026, z is the value of Z that has a pvalue of 1 - \frac{0.0026}{2} = 0.9987, so Z = 3.

25% of all adults had used the Internet for such a purpose

This means that \pi = 0.25

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The sample size is n. So

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

0.03 = 3\sqrt{\frac{0.25*0.75}{n}}

0.03\sqrt{n} = 3\sqrt{0.25*0.75}

Simplifying by 0.03 both sides

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(\sqrt{n})^2 = (100\sqrt{0.25*0.75})^2

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Step-by-step explanation:

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