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2 years ago

Difference between real numbers and intergers

Mathematics

1 answer:

Greeley [361]2 years ago

4 0

Answer:

REAL NUMBER - real number is union of rational and irrational numbers .... whole numbers, natural numbers, integers, rational and irrational numbers are included in real numbers.

INTEGER -. integer means

means whole - valued positive or negative number or 0......

suppose 1, 2, 3, -6, -2....

whole numbers, such as 3, 4, but not 3.6 or √4 .

I hope you understand the difference between real numbers and integers.......

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Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a variance of 4,000,000 and a mean

In-s [12.5K]

Using the normal distribution, it is found that there is a 0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.

<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.

The mean and the standard deviation are given, respectively, by:

$\mu = 19000, \sigma = \sqrt{4000000} = 2000$

The probability that the life span of the monitor will be more than 20,179 hours is one subtracted by the p-value of Z when X = 20179, hence:

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

$Z = \frac{20179 - 19000}{2000}$

Z = 0.59.

Z = 0.59 has a p-value of 0.7224.

1 - 0.7224 = 0.2776.

0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.

More can be learned about the normal distribution at brainly.com/question/24663213

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2 years ago

A. 25,600π in3 B. 10,240π in3 C. 1280π in3 D. 640π in3

NeX [460]

Answer: The correct answer is B; 10,240π in³

Step-by-step explanation: To calculate the volume of a cylinder, the given formular is

Volume = π r² h, where

radius (r) = 16

height (h) = 40

Pi (π) = 3.14

It is important to take note that in questions like these, the value of pi is usually given as 3.14 or 22/7. However, for this particular question, the answer should be expressed in terms of pi, (that is, the answer must include pi). For that reason we shall leave pi as it is, and we shall not use it's value when applying the formular.

Therefore, inserting the values of radius, height and pi into our formular, we now have;

Volume = π r² h

Volume = π x 16² x 40

Volume = π x 256 x 40

Volume = π x 10,240

Therefore the exact volume of the cylinder = 10,240π in³

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3 years ago

Which expression is irrational?

Nadya [2.5K]

The answer is D. Because the sq. rt. of 1 is 1, the sq. rt. of 9 is 3, and the sq. rt. of 25 is 5. When you take the sq. rt. of 50 you get 7.071067.

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