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mestny [16]
3 years ago
14

A) The perimeter of a rectangle is the sum of the lengths of its four sides. Write an expression for the perimeter of the rectan

gle and then evaluate when x=1/2 foot? B) The area of a rectangle is the product of its length and width. Write an expression for the area of the rectangle and then evaluate when x=1/2 feet?

Mathematics
1 answer:
goblinko [34]3 years ago
6 0

Answer:

Below

Step-by-step explanation:

The length of this triangle is 3x+1 and the width is x.

The perimeter P is:

P= 2(3x+1)+2*x

P= 6x+2+2x

P= 8x+2

Let's evaluate it when x=1/2

●1/2 =0.5

P= 8*0.5+2 =4+2= 6 ft

●●●●●●●●●●●●●●●●●●●●●●●●

The area A is:

A = (3x+1)*x

A= 3x^2 +x

Let's evaluate it when x=0.5 feet

A= 3*0.5^2 +0.5

A= 3*0.25+0.5

A= 0.75 +0.5

A= 1.25 ft^2

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Sun Yi can cut out 2 pieces.

Sun Yi will have 1/4 left.

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The following table shows the weights of nine subjects before and after following a particular diet for two months. Test the cla
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Using the t-distribution, it is found that there is not enough evidence that the diet is helping people lose weight.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the mean hasn't decreased, that is:

H_0: \mu_B \leq \mu_A

H_0: \mu_B - \mu_A \leq 0[qtex]At the alternative hypothesis, it is tested if the mean has decreased, that is:[tex]H_1: \mu_B - \mu_A > 0[qtex]What are the mean and the standard error for the distribution of differences?For each sample, they are given as follows:[tex]\mu_B = 170.44, s_B = \frac{29.275}{\sqrt{9}} = 9.7583.

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Hence, for the distribution of differences, they are:

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<h3>What is the test statistic and the decision?</h3>


The test statistic is:

t = \frac{\overline{x} - \mu}{s}

In which \mu = 0 is the value tested at the null hypothesis.

Hence:

t = \frac{\overline{x} - \mu}{s}

t = \frac{9.88 - 0}{11.66}

t = 0.85.

Considering a right-tailed test with 9 + 9 - 2 = 16 df, with a standard significance level of 0.05, the critical value is t = 1.7459. Since t = 0.85 < 0.85, there is not enough evidence that the diet is helping people lose weight.

More can be learned about the t-distribution at brainly.com/question/13873630

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7 0
2 years ago
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netineya [11]

The probability that it is less than 11.9 inches long will be 0.11304.

<h3>What is the z-score?</h3>

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

A manufacturer knows that their items have a normally distributed length, with a mean of 14.2 inches, and standard deviation of 1.9 inches.

If one item is chosen at random.

Then the probability that it is less than 11.9 inches long will be

Then the z-score will be

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z = –1.21

Then the probability will be

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More about the z-score link is given below.

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4 0
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4 0
3 years ago
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kirill115 [55]

Answer:

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Step-by-step explanation:

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