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Usimov [2.4K]
3 years ago
12

Ge A flower bed has the shape of a rectangle 24 feet long and 9 feet wide. What is its area in square yards? Be sure to include

the correct unit in your answer.
Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0

Answer:

area = 24 yd²

Step-by-step explanation:

convert the dimensions into yards using the conversion

1 yard = 3 feet

24 feet = \frac{24}{3} = 8 yards

9 feet = \frac{9}{3} = 3 yards

area = length × width = 8 × 3 = 24 yd²


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Consider the function,
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Answer:

If x= 4 then f(x) = 4x -5 is 11.

Step-by-step explanation:

f(x) = 4x -5

We need to find the domain value that corresponds to the output f(x) = 11

In this question, we need to solve the expression for value of x such that the answer is 11.

if  x= 3

f(3) = 4(3) -5

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f(4) = 4(4)-5

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In 2006, 95% of new cars in the US came with a spare tire. In 2017, 72% came with a spare tire.
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Using the Central Limit Theorem, it is found that:

  • The mean is 0.23.
  • The standard deviation is s = \sqrt{\frac{0.95(0.05)}{250} + \frac{0.72(0.28)}{250}}.

<h3>Central Limit Theorem</h3>
  • It states that for a <u>proportion p in a sample of size n</u>, the sampling distribution of sample proportions has mean p and standard deviation s = \sqrt{\frac{p(1 - p)}{n}}
  • When two variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

In 2006, 95% of new cars in the US came with a spare tire, with a sample of 250, hence:

p_1 = 0.95, s_1 = \sqrt{\frac{0.95(0.05)}{250}}

In 2017, 72% of new cars in the US came with a spare tire, with a sample of 250, hence:

p_2 = 0.72, s_2 = \sqrt{\frac{0.72(0.28)}{250}}

Hence, for the distribution of differences:

p = p_1 - p_2 = 0.95 - 0.72 = 0.23

s = \sqrt{s_1^2 + s_2^2} = \sqrt{\frac{0.95(0.05)}{250} + \frac{0.72(0.28)}{250}}

To learn more about the Central Limit Theorem, you can take a look at brainly.com/question/16695444

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