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2 years ago

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One base of an isosceles trapezoid is 12 and the other is 20. What is the length of the midsegment?

1 answer:

mr_godi [17]2 years ago

6 0

The length of the midsegment of an isosceles trapezoid is the sum of the two bases, divided by 2. So this means -

(base 1+base2) / 2

(12+20) / 2

32/2

Length of midsegment = 16

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3 years ago

A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo

never [62]

Answer:

A sample of 997 is needed.

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 z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

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

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that $\pi = 0.08$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a p-value of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

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

$0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}$

$0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}$

$\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2$

$n = 996.3$

Rounding up:

A sample of 997 is needed.

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3 years ago

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3 years ago

Read 2 more answers

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I'm sorry but I do not understand your question. It is not specified what you are looking for.

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3 years ago

a closed circular water tank in a subdivision is made up of concreate aluminum. its outer diameter is 8.4 m and its height is 12

m_a_m_a [10]

Answer:

122.7792 sq. m

Step-by-step explanation:

diameter= 8.4 m

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only the exterior is to painted so the total surface area of the cylinder is taken,

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=122.7792 sq. m

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2 years ago