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Anettt [7]
3 years ago
10

Claire's bedroom measures 16 feet by 18 feet if the purple carpet that she wants to buy costs $3.59 per square foot what will it

cost to buy a new carpet for her bedroom?
Mathematics
1 answer:
katovenus [111]3 years ago
6 0

Answer:

Cost of purple carpet for Claire's bedroom is $1033.92.

Step-by-step explanation:

Given:

The dimension of bedroom are given as 16 feet and 18 feet.

Hence we can say that;

Length = 18 feet

width = 16 feet

Cost of carpet per square feet = $3.59

We will first find the area of the bedroom.

Area of bedroom can be calculated by multiplying length with width.

Area of bedroom = 16 \times 18 = 288 ft^2

Hence Area of bedroom is 288 square feet.

Now we know that;

Cost of carpet per square feet = $3.59

Hence Cost of carpet  for 288 square feet is ;

we will unitary method to find the same;

Cost of carpet for bedroom = \$3.59 \times 288 = \$1033.92

Hence Cost of carpet for Claire's bedroom is $1033.92.

Step-by-step explanation:

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Simplify the expression.

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3.70432383⋅10^19

Step-by-step explanation:

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Multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E. A random sample of the correct choic
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Answer:

Option <em>B</em> is not the most common correct choice.

Step-by-step explanation:

The multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E.

The probability that any of these five option is the correct answer is:

p=\frac{1}{5}=0.20

A random sample of 400 multiple-choice questions on Advanced Placement exam are selected.

The results showed that 90 of the 400 questions having B as the answer.

To test the hypothesis that option B is more likely the correct answer for most question, the hypothesis can be defined as:

<em>H₀</em>: All the options are equally probable, i.e. <em>p</em> = 0.20.

<em>Hₐ</em>: Option B is more likely the correct option, i.e. <em>p</em> > 0.20.

Compute the sample proportion as follows:

\hat p=\frac{90}{400}=0.225

The test statistic is:

z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.225-0.20}{\sqrt{\frac{0.20(1-0.20)}{400}}}= 1.25

The test statistic is 1.25.

Decision rule:

If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the <em>p</em>-value as follows:

p-value=P(Z>1.25)\\=1-P(Z

*Use a <em>z</em>-table.

The <em>p</em>-value is 0.1057.

The <em>p</em>-value of the test is quite large. Thus, the null hypothesis was failed to rejected.

Hence, it can be concluded that option <em>B</em> is not  the most common correct choice.

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