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Kaylis [27]
3 years ago
14

Getaway Travel Agency surveyed a random sample of 454545 of their clients about their vacation plans. Of the clients surveyed, 2

12121 expected that they would go on 333 vacations in the next year. There are 516516516 Getaway Travel Agency clients.
Based on the data, what is the most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 333 vacations in the next year?
Mathematics
1 answer:
Sergio [31]3 years ago
5 0

Answer:

The most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 3 vacations in the next year is 241.

Step-by-step explanation:

The best estimate for the proportion of clients who expect to go on 3 vacations is the same proportion of the sample.

Sample:

45 clients.

Of those, 21 expected to go on 3 vacations in the next year.

21/45 = 0.4667

Out of the 516 clients:

0.4667*516 = 240.8

Rounding up

The most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 3 vacations in the next year is 241.

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A line has a slope of 4. What is the slope of any line perpendicular to this line? A −4 B −14 C 14 D undefined
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Answer:

-1/4

Step-by-step explanation:

Perpendicular lines have slopes that multiply to -1

m * 4 = -1

Divide by 4

m = -1/4

The slope of a line that is perpendicular to a line that has a slope of 4 is -1/4

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Consider parallelogram △MNOP shown above.
Nina [5.8K]

To find the length of the sides of this parallelogram, we just have to calculate the length of each side and then proceed to find the perimeter.

The perimeter of the parallelogram is 13 units.

<h3>Perimeter of a Parallelogram</h3>

To calculate the perimeter of a parallelogram, we need the values of the length of the sides. However, if we have the details of two opposite sides, we can find the perimeter of the parallelogram because opposite sides are equal.

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The perimeter of MNOP can be calculated as

perimeter = 2(MP + MN)

We can substitute the values into the equation and solve

perimeter = 2(MP + MN)\\perimeter = 2 * (4.5 + 2)\\perimeter = 2 * 6.5\\perimeter = 13

The perimeter of the parallelogram is 13 units.

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2 years ago
A sample of 49 observations is taken from a normal population with a standard deviation of 10. the sample mean is 55. determine
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3 years ago
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Answer:

\checkmark \text{B. The area of the circle is } 729\pi,\\\checkmark \text{D. The arc length of the sector is } 12\pi

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Area of a circle with radius r: r^2\pi

Circumference of a sector with radius r: 2r\pi

Area of sector with angle \theta:  r^2\pi\cdot \frac{\theta}{360}.

Arc length of sector with angle \theta: 2r\pi\cdot \frac{\theta}{360}

Using these equations, we get the following information:

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Arc length of sector: 2\cdot 27\cdot \pi \cdot \frac{80}{360}=12\pi

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3 years ago
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