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charle [14.2K]
2 years ago
10

Alvin's age is two time elga's age. the sum of their age is 54. what is elga's age​

Mathematics
1 answer:
jasenka [17]2 years ago
8 0

27 is the best answer I can think of cause 54/2 =27 which is Elgas age

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In a study of government financial aid for college​ students, it becomes necessary to estimate the percentage of​ full-time coll
ICE Princess25 [194]

Answer:

a) n = 1037.

b) n = 1026.

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}}

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

​(a) Assume that nothing is known about the percentage to be estimated.

We need to find n when M = 0.04.

We dont know the percentage to be estimated, so we use \pi = 0.5, which is when we are going to need the largest sample size.

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

0.04 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.04\sqrt{n} = 2.575*0.5

(\sqrt{n}) = \frac{2.575*0.5}{0.04}

(\sqrt{n})^{2} = (\frac{2.575*0.5}{0.04})^{2}

n = 1036.03

Rounding up

n = 1037.

(b) Assume prior studies have shown that about 55​% of​ full-time students earn​ bachelor's degrees in four years or less.

\pi = 0.55

So

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

0.04 = 2.575\sqrt{\frac{0.55*0.45}{n}}

0.04\sqrt{n} = 2.575*\sqrt{0.55*0.45}

(\sqrt{n}) = \frac{2.575*\sqrt{0.55*0.45}}{0.04}

(\sqrt{n})^{2} = (\frac{2.575*\sqrt{0.55*0.45}}{0.04})^{2}

n = 1025.7

Rounding up

n = 1026.

6 0
3 years ago
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icang [17]
To find the mean add up all the numbers and divide. The mean absolute deviation is the difference.
3 0
2 years ago
The diameter of a circle is 9 cm. Find its area to the nearest tenth.
Alja [10]
<h2>63.6 cm</h2><h2 />

Cut diameter in half to find radius

9/2 = 4.5

radius = 4.5

This is the formula for area of a circle:

pi * radius^2

pi * 4.5^2

20.25pi

Now find pi:

20.25 * pi = 63.6

Answer:

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3 0
3 years ago
Read 2 more answers
In (r,theta), the value of theta can be negative.<br>True or False
Marizza181 [45]

(r,theta) represents polar coordinate .

And in (r,theta), there is neither any restriction on r nor on theta. It means both r and theta can either be positive or negative .

For e.g. (2,30 degree), (2,-30 degree) both are correct .

So the given statement is true .

5 0
2 years ago
Need help with this getting the answer for this question
mafiozo [28]

Answer:

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Step-by-step explanation:

the question if from trigonometry chapter

here with the formula I shared below

opposite/hypotenuse = sin( 16° )

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0.965

4 0
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