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The length of a rectangle is six more than double the width. If the perimeter is 102 inches find the dimensions

stiks02 [169]

Answer:

width = 15 inches

length = 36 inches

Step-by-step explanation:

To solve you need to find the width...

width = w

length = 2w + 6

the perimeter is all the way around the area, so..

2w + 2(2w + 6) = 102

because there are 2 widths and 2 lengths in a perimeter.

Solve for w:

2w + 4w + 12 = 102

subtract 12 from both sides and combine like terms...

6w = 90

divide both sides by 6...

w = 15

the width = 15, and the length = 2(15) + 6 = 36

5 0

3 years ago

Suppose that at a state college, a random sample of 41 students is drawn, and each of the 41 students in the sample is asked to

ra1l [238]

Answer:

The confidence interval for 90% confidence would be narrower than the 95% confidence

Step-by-step explanation:

From the question we are told that

The sample size is n = 41

For a 95% confidence the level of significance is $\alpha = [100 - 95]\% = 0.05$ and

the critical value of $\frac{\alpha }{2}$ is $Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} }= 1.96$

For a 90% confidence the level of significance is $\alpha = [100 - 90]\% = 0.10$ and

the critical value of $\frac{\alpha }{2}$ is $Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} }= 1.645$

So we see with decreasing confidence level the critical value decrease

Now the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }$

given that other values are constant and only $Z_{\frac{\alpha }{2} }$ is varying we have that

$E\ \ \alpha \ \ Z_{\frac{\alpha }{2} }$

Hence for reducing confidence level the margin of error will be reducing

The confidence interval is mathematically represented as

$\= x - E < \mu < \= x + E$

Now looking at the above formula and information that we have deduced so far we can infer that as the confidence level reduces , the critical value reduces, the margin of error reduces and the confidence interval becomes narrower

3 0

3 years ago

What’s that answer??

weqwewe [10]

The answer is B for the first part, and I think the solution is (6,7).

4 0

3 years ago

Fred works as a gardener. He charges at least $15 to drive to a residence and

Amanda [17]

We are required to find an inequality which best represents the relationship between the number of hours gardening g and the total charge c

The inequality which best represents the relationship between the number of hours gardening g and the total charge c is c ≥ 15 + 12g

At least means greater than or equal to (≥)

fixed charge = $15

charges per hour = $12

Total charge = c

Number of hours = g

The inequality:

<em>Total charge ≥ fixed charge + (charges per hour × Number of hours</em>

c ≥ 15 + (12 × g)

c ≥ 15 + (12g)

c ≥ 15 + 12g

Therefore, the inequality which best represents the relationship between the number of hours gardening g and the total charge c is c ≥ 15 + 12g

Click image to see it all..... thank you ​

Click image to see it all..... thank you