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charle [14.2K]
2 years ago
9

Consider the division problem. 68)472 Which would be the best replacement for 68 to get a quick, but close, estimate of this quo

tient O A. 50 ОВ. 65 OC. 69 D. 70 E. 100​
Mathematics
1 answer:
Savatey [412]2 years ago
4 0

Answer:

Step-by-step explanation:

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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
Using graph paper, determine the line described by the given point and slope. Click to show the correct graph below.
gayaneshka [121]

When you know the coordinates of a point and the slope of a line, you can use the formula

y-y_0=m(x-x_0)

in your case, (x_0,y_0)=(0,0) and m=\frac{2}{3}, so you have

y-0=\dfrac{2}{3}(x-0) \iff y=\dfrac{2}{3}x

7 0
3 years ago
Help and please make sure it’s right there is only 6 questions :(
olya-2409 [2.1K]

Answer:

answer is -5

Step-by-step explanation:

6 0
2 years ago
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Yea i agree LOL and meatballs are very very yuum e
5 0
3 years ago
Steve has two pieces of PVC pipe of length 4 ft and 7 ft. Which of the following lengths of PVC pipe could be used as the third
Ratling [72]

Answer:

<em>10 feet</em>

Step-by-step explanation:

here's the reason ; -

let's take the missing side be x

we know, the one side of a triangle should always be greater than the difference between the other two sides, so ,

=》x > 7-4

=》x > 3

and the measure of a side should always be less than the some of the other two sides, hence

=》7 + 4 > x

=》11 > x

now, we have : -

11 > x > 3

value of x should be more than 3 and less than 11 , hence 2 ft , 3 ft and 12 ft can't be the measure of third side,

so, we got our third side as 10 ft

3 0
3 years ago
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