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3 years ago

How will rational numbers help in future

Mathematics

1 answer:

allochka39001 [22]3 years ago

7 0

Answer:

They are used to share something among friends , Like if there are four friends and they want to divide a cake equally among themselves , then the quantity of cake that each friend will get will be one-fourth of the cake , That is a rational number 1/4.

Step-by-step explanation:

short answer it won't trust me

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The average telephone bill in a locality is $70, with a standard deviation of $40. In a sample of 50 randomly selected phone con

Sever21 [200]

Using the normal distribution, there is a 0.1894 = 18.94% probability that the sample average will exceed $75.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

The parameters for this problem are given as follows:

$\mu = 70, \sigma = 40, n = 50, s = \frac{40}{\sqrt{50}} = 5.66$

The probability that the sample average will exceed $75 is <u>one subtracted by the p-value of Z when X = 75,</u> hence:

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

Z = (75 - 70)/5.66

Z = 0.88

Z = 0.88 has a p-value of 0.8106.

1 - 0.8106 = 0.1894.

0.1894 = 18.94% probability that the sample average will exceed $75.

More can be learned about the normal distribution at brainly.com/question/28096232

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2 years ago

Triangle PQR and STR are shown. Which of the following does Not justify PQR ~STR ?

hjlf

The equation that does not justify the similarities of both triangles is:

$\frac{RQ}{RT}= \frac{PQ}{ST}$

<h3>Similar triangles</h3>

Similar triangles may or may not have congruent sides.

The triangles are given as:

Triangle PQR
Triangle STR

The above means that, the following sides are similar

Line segments PQ and ST
Line segments QR and TR
Line segments PR and SR

So, the equation that does not justify the similarities of both triangles is:

$\frac{RQ}{RT}= \frac{PQ}{ST}$

Read more about similar triangles at:

brainly.com/question/14285697

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2 years ago

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Angelina_Jolie [31]

Answer:

An exponential function can describe growth or decay

It gets rapidly smaller as x increases, as illustrated by its graph. In the exponential growth of f(x), the function doubles every time you add one to its input x.

Step-by-step explanation:

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2 years ago

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earnstyle [38]

Answer:3mjj

Step-by-step explanation:

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2 years ago

The mean temperature for the first 4 days in January was 8°C. The mean temperature for the first 5 days in January was 7°C. What

ahrayia [7]

Answer : The 5th day = 3 Celsius

Explanation:
the average of the first 4 day is 8
Which mean the combine temp on the first 4 day is 8 x 4 = 32

Now on the first 5 day the average temp is 7

Then the combine temp on the first 5 day is 7 x 5 = 35

Find the 5th day

4 days combine temp + 5th day = the combine temp of 5 days

32 + 5th day = 35
5th day = 35-32
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3 years ago