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Sergio [31]
3 years ago
10

What is the answer to the length of a rectangle is 5 feet more then the width and the perimeter is 22 what is is width of the re

ctangle?
Mathematics
1 answer:
Margaret [11]3 years ago
3 0
Question:
l = 5 + w
perimeter = 22
width?

Solution:
Perimeter = 22
2(l + w)     = 22
2(5+w+w) = 22
2 (5 + 2w) = 22
     5 + 2w = 11
           2w = 6
             w = 3

The width is 3
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Two random samples are taken, with each group asked if they support a particular candidate. A summary of the sample sizes and pr
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Answer:

And we got \alpha/2 =0.01 so then the value for \alpha=0.02 and then the confidence level is given by: Conf=1-0.02=0.98[/tex[ or 98%Step-by-step explanation:A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  The margin of error is the range of values below and above the sample statistic in a confidence interval.  Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  [tex]p_1 represent the real population proportion for 1

\hat p_1 =0.768 represent the estimated proportion for 1

n_1=92 is the sample size required for 1

p_2 represent the real population proportion for 2

\hat p_2 =0.646 represent the estimated proportion for 2

n_2=95 is the sample size required for 2

z represent the critical value for the margin of error  

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})  

The confidence interval for the difference of two proportions would be given by this formula  

(\hat p_1 -\hat p_2) \pm z_{\alpha/2} \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2 (1-\hat p_2)}{n_2}}  

For this case we have the confidence interval given by: (-0.0313,0.2753). From this we can find the margin of erro on this way:

ME= \frac{0.2753-(-0.0313)}{2}=0.1533

And we know that the margin of erro is given by:

ME=z_{\alpha/2} \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2 (1-\hat p_2)}{n_2}}

We have all the values except the value for z_{\alpha/2}

So we can find it like this:

0.1533=z_{\alpha/2} \sqrt{\frac{0.768(1-0.768)}{92} +\frac{0.646 (1-0.646)}{95}}

And solving for z_{\alpha/2} we got:

z_{\alpha/2}=2.326

And we can find the value for \alpha/2 with the following excel code:

"=1-NORM.DIST(2.326,0,1,TRUE)"

And we got \alpha/2 =0.01 so then the value for \alpha=0.02 and then the confidence level is given by: Conf=1-0.02=0.98 or 98%

7 0
3 years ago
A car manufacturer provided information about two different car models
Effectus [21]

Answer:

Step-by-step explanation:use Slader if u have a textbook

4 0
2 years ago
8 numbers have a sum of 90. Whats the average number?
ehidna [41]

Answer:

\huge\boxed{11.25}

Step-by-step explanation:

When finding the average of a set of numbers, we

  • A) Add up all the numbers
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Let's represent this with a formula, s being the sum of all numbers, n being the total number of numbers.

\frac{s}{n}

Since we <u>already know the sum</u> and we <u>know how many numbers there are</u> (8), we can substitute inside our expression \frac{s}{n} to find the average.

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Therefore, the average of all these numbers is 11.25.

Hope this helped!

4 0
3 years ago
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Divide 4 by 1/10.

So, 4 ÷ 1/10 becomes 4 x 10/1.

We know that 4 x 10/1 = 40/1 = 40.

Did you follow?

6 0
3 years ago
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IgorLugansk [536]

Answer:

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Step-by-step explanation:

1. change 60% to decimal= 0.6

2. multiply 0.6 by 120

3. 72

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