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spin [16.1K]
3 years ago
15

john read the first 114 pages of a novel which is 3 pages less than 1/3 of the novel. write the equation

Mathematics
1 answer:
tatyana61 [14]3 years ago
8 0

The equation is:

114=\frac{p}{3}-3

And

Total number of pages are 351

Step-by-step explanation:

The equation has to be formed by using the given information.

Let p be the total number of pages in the novel

Then

1/3rd of the p will pe:

\frac{p}{3}

Total pages read by John = 114

Then according to the statement

114=\frac{p}{3}-3

We can solve the equation to get the total pages of the novel

114=\frac{p}{3}-3\\Adding\ 3\ on\ both\ sides\\114+3=\frac{p}{3}-3+3\\117=\frac{p}{3}\\Multiplying\ both\ sides\ by\ 3\\3*117 = \frac{p}{3}*3\\p=351

The equation is:

114=\frac{p}{3}-3

And

Total number of pages are 351

Keywords: Linear equation, variable

Learn more about linear variable at:

  • brainly.com/question/9196410
  • brainly.com/question/9178881

#LearnwithBrainly

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Step-by-step explanation:

$993 / 6 = $165.50

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3 years ago
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10x - 15 = 12x - 101
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A study was done to determine the average number of homes that a homeowner owns in his or her lifetime. For the 50 homeowners su
ipn [44]

Answer:

The 95% confidence interval for the true average number of homes that a person owns in his or her lifetime is (4,6.2).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So

df = 50 - 1 = 49

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0096

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.0096\frac{3.8}{\sqrt{50}} = 1.1

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 5.1 - 1.1 = 4

The upper end of the interval is the sample mean added to M. So it is 5.1 + 1.1 = 6.2.

The 95% confidence interval for the true average number of homes that a person owns in his or her lifetime is (4,6.2).

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2 years ago
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Answer:

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Step-by-step explanation:

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5 0
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