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3 years ago

32 pages to 28 pages percent of change

Mathematics

1 answer:

pychu [463]3 years ago

4 0

Answer:

Youre answer is 12.5%

Step-by-step explanation:

Percent change is calculated as

Change original×100%

Change =32−28=4 pages

1328×100%=1008%=

And then your final answer:

12.5%

Glad I could help, hv a good day :3

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−5x+2y=9 y=7x solve the system of equation

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2 years ago

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3 years ago

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Suppose a simple random sample of size nequals36 is obtained from a population with mu equals 74 and sigma equals 6. (a) Descri

OlgaM077 [116]

Part a)

The simple random sample of size n=36 is obtained from a population with

$\mu = 74$

and

$\sigma = 6$

The sampling distribution of the sample means has a mean that is equal to mean of the population the sample has been drawn from.

Therefore the sampling distribution has a mean of

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The standard error of the means becomes the standard deviation of the sampling distribution.

$\sigma_ { \bar X } = \frac{ \sigma}{ \sqrt{n} } \\ \sigma_ { \bar X } = \frac{ 6}{ \sqrt{36} } = 1$

Part b) We want to find

$P(\bar X \:>\:75.9)$

We need to convert to z-score.

$P(\bar X \:>\:75.9) = P(z \:>\: \frac{75.9 - 74}{1} ) \\ = P(z \:>\: \frac{75.9 - 74}{1} ) \\ = P(z \:>\: 1.9) \\ = 0.0287$

Part c)

We want to find

$P(\bar X \: < \:71.95)$

We convert to z-score and use the normal distribution table to find the corresponding area.

$P(\bar X \: < \:71.95) = P(z \: < \: \frac{71.9 5- 74}{1} ) \\ = P(z \: < \: \frac{71.9 5- 74}{1} ) \\ = P(z \: < \: - 2.05) \\ = 0.0202$

Part d)

We want to find :

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3 years ago

A rhino can run at speeds of about 28 miles per hour. What is that speed in feet per second, to the nearest whole number?

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3 years ago

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1 point

stepan [7]

Answer:

$y = 250x$

Step-by-step explanation:

The options are not given; however, the question can still be answered.

Given

Direct Proportion:

In 20 minutes, y = 250 bottles

Required

Determine the graph

In the first 20 minutes, y = 250

In the next 20 minutes, y = 250 + 250 = 500

In the next 20 minutes, y = 500 + 250 = 750

This gives a arithmetic sequence:

250, 500, 750, ........

Next, is to determine the equation of the sequence using;

$T_n = a + (n - 1)d$

In this case;

$T_n = y$

$x = n$

$a = 250$

$d = 750 - 500 = 500 - 250 = 250$

Substitute these values in the above formula;

$y = 250 + (x - 1) * 250$

Open Bracket

$y = 250 + 250x - 250$

Collect Like Terms

$y = 250x + 250 - 250$

$y = 250x$

Hence; the graph that shows the given description is the graph with equation $y = 250x$

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