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Dafna1 [17]
3 years ago
7

A field is a rectangle with a perimeter of 1040 feet. The length is 300 feet more than the width. Find the width and the length

of the rectangular field. What is the width of the rectangular field?
Mathematics
1 answer:
Ratling [72]3 years ago
4 0

Answer:

Width = 110 ft

Step-by-step explanation:

width = x

length = x + 300

To find the width, we use the formula for perimeter, substituting 1040 for perimeter, x + 300 for length, and x for width:

P=2(l+w)\\\\1040=2[(x+300)+x]

Combine like terms inside the brackets:

1040=2(2x+300)

Distribute the 2 within the parentheses:

1040=4x+600

Subtract 600 from both sides:

440=4x

Divide both sides by 4:

110=x

Therefore, the width is 110 ft and the length is 410 ft. To verify, we can check that the perimeter equals 1,040 ft.

P=2(l+w)\\P=2(410+110)\\P=2(520)\\P=1040\\Check.

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Considering the situation described, we have that:

a) The critical value is of z = -1.645.

b) Since the test statistic is less than the critical value, we should reject the null hypothesis H0.

<h3>What is the critical value?</h3>

We have a left-tailed test, as we are testing if the proportion is less than a value. Hence the critical value is z with a p-value equals to the significance level, hence z with a p-value of 0.05, hence z = -1.645.

<h3>What is the decision?</h3>

Considering the test statistic, for a left-tailed test, we have that:

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More can be learned about the test of an hypothesis at brainly.com/question/13873630

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-7(5-u)

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Answer the photo below thanks <br> Please explain your answer
Norma-Jean [14]

Answer:

A = 1863

Step-by-step explanation:

There are a few ways you could do this but I will do the one I know best.

Keep in mind the area is the L(enght x W(idth) = A(rea)

There are two long rectangles if you cut off the square in the middle so find the area of those two first.

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