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julsineya [31]
3 years ago
8

Which equation can be used to solve for I in the following diagram?

Mathematics
1 answer:
vaieri [72.5K]3 years ago
4 0
The answer is the the 3rd option! Hope this helps!
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I want to take a survey of students at my university to find out what proportion like the new bus service on campus. I believe t
tatiyna

Answer:

You will need to sample at least 3108 students.

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}.

In this problem, we have that:

\pi = 0.75

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.

The margin of error is:

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

How many students will I need to survey if I want to estimate, with 99% confidence, the true proportion to within 2%?

You need a sample size of at least n.

n is found when M = 0.02. So

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

0.02 = 2.575\sqrt{\frac{0.75*0.25}{n}}

0.02\sqrt{n} = 1.115

\sqrt{n} = \frac{1.115}{0.02}

\sqrt{n} = 55.75

\sqrt{n}^{2} = (55.75)^{2}

n = 3108

You will need to sample at least 3108 students.

4 0
3 years ago
Solve the compound inequality 4x – 7 > 5 or 5x + 4 ≤ –6. Question 18 options: A) –2 ≤ x 3 C) x 3
allochka39001 [22]

Answer:

x>3 or x≤-2

Step-by-step explanation:

4x-7>5 or 5x+4≤-6

4x>5+7 or 5x≤-6-4

x>3 or x≤-2

8 0
3 years ago
W+19=49 for w=30 help me
mafiozo [28]
W + 19 = 49   for w = 30 :

30 + 19 = 49

hope this helps !.
8 0
3 years ago
Read 2 more answers
If a cylinder has a volume of 1884 cubic centimeters and a height of six cm, explain how to find the radius of the base circle.
AnnyKZ [126]

Answer:

Step-by-step explanation:

The formulas to find the radius are quite simple. If you know the diameter of the circle, use this formula:

If you don't know the diameter, but you know the circumference, you can use this equation:

If you know the area of the circle, use this equation:

Note that the area of a circle is essentially the total space, measured in square units, inside of the perimeter of a circle.

8 0
3 years ago
Which of the following numbers is irrational? a fraction with numerator negative 15 and denominator 4, a fraction with numerator
Nataly_w [17]
I think it would be the last one. I hope this helped!
6 0
3 years ago
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