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Anastaziya [24]
2 years ago
14

Consider the function y = g (x), where:

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
6 0

Answer:

Step-by-step explanation:earn vocabulary, terms, and more with flashcards, games, and other study tools. ... term with highest exponent determines how the function behaves divide by ... lim x→c ( f(x)/ g(x) ) = L/M if M≠0 ... the function oscillates and has no limit ... Image: Infinite discontinuity ... y- y₁= m (x-x₁) ...

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A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained p
Alekssandra [29.7K]

Using the z-distribution and the formula for the margin of error, it is found that:

a) A sample size of 54 is needed.

b) A sample size of 752 is needed.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

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

In which z is the z-score that has a p-value of \frac{1+\alpha}{2}.

The margin of error is of:

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

90% confidence level, hence\alpha = 0.9, z is the value of Z that has a p-value of \frac{1+0.9}{2} = 0.95, so z = 1.645.

Item a:

The estimate is \pi = 0.213 - 0.195 = 0.018.

The sample size is <u>n for which M = 0.03</u>, hence:

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

0.03 = 1.645\sqrt{\frac{0.018(0.982)}{n}}

0.03\sqrt{n} = 1.645\sqrt{0.018(0.982)}

\sqrt{n} = \frac{1.645\sqrt{0.018(0.982)}}{0.03}

(\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.018(0.982)}}{0.03}\right)^2

n = 53.1

Rounding up, a sample size of 54 is needed.

Item b:

No prior estimate, hence \pi = 0.05

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

0.03 = 1.645\sqrt{\frac{0.5(0.5)}{n}}

0.03\sqrt{n} = 1.645\sqrt{0.5(0.5)}

\sqrt{n} = \frac{1.645\sqrt{0.5(0.5)}}{0.03}

(\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.5(0.5)}}{0.03}\right)^2

n = 751.7

Rounding up, a sample of 752 should be taken.

A similar problem is given at brainly.com/question/25694087

5 0
2 years ago
How to solve 4+7*-5*-6
andrew-mc [135]
The answer is 0
Explanation
When doing PEMDAS you always move from left to right
4+7=11
-5-6=-11
11-11
= 0
7 0
2 years ago
Which of the following best describes the equation below?
ivann1987 [24]

Answer:

B.

no real solutions

Step-by-step explanation:

2(x + 11) + 5x = 7x - 22

Distribute

2x+22 +5x = 7x -22

Combine like terms

7x +22 = 7x-22

Subtract 7x from each side

7x-7x+22 = 7x-7x-22

22 = -22

This is never true so there are no solutions

4 0
3 years ago
Rico picked 16 lb of peaches and shared
irina1246 [14]

Answer:

2.6 pounds

Step-by-step explanation:

4 0
2 years ago
Harding and Jack found that 8 percent of their number was 72. What was their number?
Aneli [31]
I do believe that the answer is 900. 
Steps:
I first set up a proportion, with 8/100 and 72/x (x being the number we are trying to find) 
As I was taught, you multiply 100 by 72, which equals 7,200.
Then, I divided 7,200 by 8, which gave me 900.
This is what the proportion process should have looked like:
8/100    72/x
7,200/8
x=900
I hope this helps!
4 0
3 years ago
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