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Aloiza [94]
4 years ago
10

George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run w

ill be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan. Recall the formulas for area and perimeter: A = lw and P = 2l + 2w.
Mathematics
2 answers:
Thepotemich [5.8K]4 years ago
5 0

Answer:

B. 68 feet

Step-by-step explanation:

So you realize that 30 + 30 + w + w = P. We likewise realize the territory is 240 square feet. Gap 240 by 30 to discover the width of the territory. 240/30 = 8. w = 8. So include 30 + 30 + 8 + 8 to find that P = 76. Notwithstanding, recall that George is utilizing some portion of his home as a divider rather than a fence. So take away 8 from 76 to get 68 ft. George will require 68 ft. of fencing for his dog run.

Bumek [7]4 years ago
3 0

Answer:

it is 76 feet

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Begin by finding the slope of the line using the slope formula:

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

Plug in two points on the graph. We can use the points (-1, 4) and (0, 0):

m =  \frac{0 - 4}{0 - (-1)}

Simplify:

m = -4.

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y = -4x.

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3 years ago
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Rashid [163]

Answer:

Your answer would be number 4, "A and D"

Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
The estimate of the population proportion should be within plus or minus 0.02, with a 90% level of confidence. The best estimate
Rudiy27

Answer:

The sample size required is 910.

Step-by-step explanation:

The confidence interval for population proportion is:

CI=\hat p\pm z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }

The margin of error is:

MOE=z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }

Given:

\hat p = 0.16\\MOE= 0.02\\Confidence\ level =0.90

The critical value of <em>z</em> for 90% confidence level is:

z_{\alpha /2}=z_{0.10/2}=z_{0.05}=1.645 *Use a standard normal table.

Compute the sample size required as follows:

MOE=z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }\\0.02=1.645\times \sqrt{\frac{0.16(1-0.16)}{n} }\\n=\frac{(1.645)^{2}\times 0.16\times (1-0.16)}{(0.02)^{2}} \\=909.2244\\\approx910

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4 years ago
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Lapatulllka [165]

Answer:

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Step-by-step explanation:

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3 years ago
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kenny6666 [7]

Answer:

b. Every 24 minutes

Step-by-step explanation:

A neon sign blinks every 6 minutes, and another sign blinks every 8 minutes.

The first step is to:

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The first and common multiple of 6 and 8.

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