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3 years ago

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Part B A different student claims that the expression 59.2xy is equivalent to the teacher’s expression. The student’s reasoning

is below. The expression 59.2xy is equivalent to the teacher’s expression because both expressions have the same value when x = 1 and y = 1. This means that the two expressions are equivalent. ● Explain which part of the student’s reasoning is correct. ● Explain which part of the student’s reasoning is incorrect. ● Give an example using different values for x and y to support your answer. Write your answer and explanation below.

1 answer:

nadya68 [22]3 years ago

8 0

Answer:

I think the part he has correct is when they are equal because they intersect at a coordinate, but, he is incorrect because the teacher's expression could be different

Step-by-step explanation:

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In Applied Life Data Analysis (Wiley, 1982), Wayne Nelson presents the breakdown time of an insulating fluid between electrodes

ale4655 [162]

Answer:

The sample mean is $\bar{x}=14.371$ min.

The sample standard deviation is $\sigma = 18.889$ min.

Step-by-step explanation:

We have the following data set:

$\begin{array}{cccccccc}0.15&0.82&0.81&1.44&2.70&3.28&4.00&4.70\\4.96&6.49&7.25&8.03&8.40&12.15&31.89&32.47\\33.79&36.80&72.92&&&&&\end{array}$

The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values.

The formula for the mean of a sample is

$\bar{x} = \frac{{\sum}x}{n}$

where, $n$ is the number of values in the data set.

$\bar{x}=\frac{0.15+0.82+0.81+1.44+2.7+3.28+4+4.7+4.96+6.49+7.25+8.03+8.4+12.15+31.89+32.47+33.79+36.80+72.92}{19}\\\\\bar{x}=14.371$

The standard deviation measures how close the set of data is to the mean value of the data set. If data set have high standard deviation than the values are spread out very much. If data set have small standard deviation the data points are very close to the mean.

To find standard deviation we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }$

The mean of a sample is $\bar{x}=14.371$ .

Create the below table.

Find the sum of numbers in the last column to get.

$\sum{\left(x_i - \overline{X}\right)^2} = 6422.0982$

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} } = \sqrt{ \frac{ 6422.0982 }{ 19 - 1} } \approx 18.889$

7 0

3 years ago

How do you estimate 586-321

aniked [119]

I would estimate about 240

4 0

4 years ago

Read 2 more answers

Spaulding is the leading maker for basketballs in the US. Spaulding prides itself on the quality that its basketballs have the r

Vesna [10]

Answer:

0 < 0.05, which means that we reject the null hypothesis, meaning that the air pressure of the balls is different of the target value of 7.9.

Step-by-step explanation:

The air pressure of a particular ball has a target value of 7.9 PSI.

This means that the null hypothesis is:

$H_{0}: \mu = 7.9$

The alternate hypothesis is:

$H_{a}: \mu \neq 7.9$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

The hypothesis tested means that $\mu = 7.9$

Suppose the basketballs have a normal distribution with a standard deviation of 0.20 PSI.

This means that $\sigma = 0.2$

When a shipment of basketballs arrive, the consumer takes a sample of 21 from the shipment and measures their PSI to see if it meets the target value, and finds the mean to be 7.3 PSI.

This means that $X = 7.3, n = 21$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{7.3 - 7.9}{\frac{0.2}{\sqrt{21}}}$

$z = -13.74$

pvalue:

We are testing that the mean pressure is different than the target value of 7.9, and since the test statistic is negative, the pvalue is 2 multiplied by the pvalue of z = -13.74, which we find looking at the z-table.

$z = -13.74$ has a pvalue of 0.

2*0 = 0

0 < 0.05, which means that we reject the null hypothesis, meaning that the air pressure of the balls is different of the target value of 7.9.

8 0

3 years ago

What is the distance between (1,-5) and (-3,6)

spin [16.1K]

Answer:

$\large\boxed{\sqrt{137}}$

Step-by-step explanation:

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have the points (1, -5) and (-3, 6). Substitute:

$d=\sqrt{(6-(-5))^2+(-3-1)^2}=\sqrt{11^2+(-4)^2}=\sqrt{121+16}=\sqrt{137}$

6 0

3 years ago

Help ASAP pls !!!!!!!!!!!!!

bonufazy [111]

Answer:

I think it's B.

Step-by-step explanation:

They are asking for integers greater than -3 and less than 5.

4 0

4 years ago

Read 2 more answers