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7nadin3 [17]
3 years ago
6

An open box is to be made from a flat square piece of material 19 inches in length and width by cutting equal squares of length

x from the corners and folding up the sides. (a) Write the volume V of the box as a function of x. Leave it as a product of factors; you do not have to multiply out the factors.
Mathematics
1 answer:
amm18123 years ago
7 0

Answer:Volume=\left ( 19-2x\right )\left ( 19-2x\right )\left ( x\right )

Step-by-step explanation:

Given

Length is 19 in of original box so required length of square box is 19-2x

as width is also equal to length of box

therefore width=19-2x in.

height of box =x in.

Volume =length\times width\times height

Volume=\left ( 19-2x\right )\left ( 19-2x\right )\left ( x\right )

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​a) If the null hypothesis is​ true, you'll get a high​ P-value. ​b) If the null hypothesis is​ true, a​ P-value of 0.01 will oc
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Answer:

​a) If the null hypothesis is​ true, you'll get a high​ P-value. ​(it depends)

b) If the null hypothesis is​ true, a​ P-value of 0.01 will occur about​ 1% of the time. (false)

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d) A​ P-value of 0.90 is strong evidence that the null hypothesis is true.(true)

Step-by-step explanation:

Before i answer this question, you need to understand that p-values give you the clues to identify when you can <u>accept the null hypothesis ( null hypothesis is true)</u> and when you can r<u>eject the null hypothesis (null hypothesis is not true).</u>

<u />

1. When you get a small p-value  (typically ≤ 0.05) values that are less or equal to 0.05, for example 0.01,  you reject the null hypothesis (null hypothesis is not true)

2. when you get a large p-value (> 0.05) values that are greater than 0.05, for example 0.94, 0.90. you can accept the null hypothesis because  indicates weak evidence against the null hypothesis (null hypothesis is true).

<u> This is the explanation:</u>

<u />

a) if the null hypothesis is true  you`ll get a high p-value<u> only if the p-value is ≥ 0.05</u>

b) if p value is less or equal to 0.05. Null hypothesis is not true.

c) A​ P-value of 0.90 means that the null hypothesis has a good chance of being true . It not only has a good chance it is strong evidence that null hypothesis is true.

d) A p-value of 0.90 is strong evidence that null hypothesis is true. p-values that are greater than 0.05  you can accept the null hypothesis (null hypothesis is true).

<u></u>

7 0
3 years ago
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