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DanielleElmas [232]

3 years ago

5

BRAINLIESTTT ASAP!! PLEASE HELP ME :)

1 answer:

bulgar [2K]3 years ago

5 0

Answer:

Width: 8 inches

Length: 18 inches

Step-by-step explanation:

This is simple Systems of Equations:

{<em>wl</em><em> </em>= 144

{10 + <em>w</em> = <em>l</em>

Use Substitution:

<em>w</em>[10 + <em>w</em>] = 144

<em>w</em>² + 10<em>w</em> - 144 [Distribute, then move −144 to the left side of the equivalence symbol]

[<em>w</em> + 8][<em>w</em> - 18]

When set equal to zero, you will get the ABSOLUTE VALUE DIMENSIONS above, since we are specifically talking about DIMENSIONS. Dimensions are NON-NEGATIVE.

I am joyous to assist you anytime.

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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

Studentka2010 [4]

Using the z-distribution, it is found that the needed sample sizes are:

a) 242

b) 1842

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:

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

99% confidence level, hence $\alpha = 0.99$ , z is the value of Z that has a p-value of $\frac{1+0.99}{2} = 0.995$ , so $z = 2.575$ .

Item a:

The estimate is:

$\pi = 0.223 - 0.189 = 0.034$

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

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

$0.03 = 2.575\sqrt{\frac{0.034(0.966)}{n}}$

$0.03\sqrt{n} = 2.575\sqrt{0.034(0.966)}$

$\sqrt{n} = \frac{2.575\sqrt{0.034(0.966)}}{0.03}$

$(\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.034(0.966)}}{0.03}\right)^2$

$n = 241.97$

Rounding up, a sample of 242 is needed.

Item b:

No prior estimates, hence $\pi = 0.5$ is used.

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

$0.03 = 2.575\sqrt{\frac{0.5(0.5)}{n}}$

$0.03\sqrt{n} = 2.575\sqrt{0.5(0.5)}$

$\sqrt{n} = \frac{2.575\sqrt{0.5(0.5)}}{0.03}$

$(\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.5(0.5)}}{0.03}\right)^2$

$n = 1841.8$

Rounding up, a sample of 1842 is needed.

For more on the z-distribution, you can check brainly.com/question/25404151

5 0

3 years ago

Consider the paragraph proof. Given: D is the midpoint of AB, and E is the midpoint of AC. Prove:DE = BC It is given that D is t

denis23 [38]

It is not D and d was 4a^2

4 0

3 years ago

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How do I solve this problem 34=p+19

NARA [144]

Hello,

$34 = p + 19$

$34 - 19 = p + 19 - 19$

$15 = p$

$p = 15$

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2 years ago

You bought a bag of tamales and one of your friends ate 1/5 of the entire bag and another friend ate 1/3 of the whole bag. How m

Serggg [28]

Answer:

There is 7/15 left in the bag

Step-by-step explanation:

So, you need to find a common denominator between 3 and 5 which is 15

multiply the numerator and the denominator by 3 in 1/5. Then, multiply the numerator and the denominator by 5 in 1/3.

1/3*5=5/15

1/5*3=3/15

Add them together.

5/15+3/15=8/15

Lastly, subtract 15/15 by 8/15

15/15-8/15=7/15

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3 years ago

What is the values of b and c?

Anvisha [2.4K]

Answer: b=31, c=5

Step-by-step explanation: if this is a equilateral triangle then all the sides when split in half will be the same as the other side

5 0

4 years ago

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