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AveGali [126]
3 years ago
14

Two rectangles have the exact same area. The measurements of the first rectangle are: length = 3k and width = 3 And the measurem

ents of the second rectangle are: length = k + 3 and width = 6. Calculate the value of k.​
Mathematics
1 answer:
lions [1.4K]3 years ago
5 0

Answer:

k

Step-by-step explanation:

because

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Polygon ABCD is a parallelogram, and m of abc =127°. The length of bc is 19 units, and an is 5 units. What is the perimeter of t
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The perimeter of a parallelgram is the sum of the lengths of its four sides.

Parallelogram ABCD has sides AB, BC, CD, and AB.

Sides AB and CD are parallel and of equal length = 19 units.

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3 years ago
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7.1.35-T Question Help You are the operations manager for an airline and you are considering a higher fare level for passengers
shusha [124]

Answer:

You must survey 784 air passengers.

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

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The margin of error is:

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

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So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Assume that nothing is known about the percentage of passengers who prefer aisle seats.

This means that \pi = 0.5, which is when the largest sample size will be needed.

Within 3.5 percentage points of the true population percentage.

We have to find n for which M = 0.035. So

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

0.035 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.035\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.035}

(\sqrt{n})^2 = (\frac{1.96*0.5}{0.035})^2

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Step-by-step explanation:

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