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3 years ago

Select the correct answer.

Mathematics

1 answer:

BigorU [14]3 years ago

3 0

Answer:

B. $a^3b$

Step-by-step explanation:

Exponent Rule: $(b^m)^n = b^{mn}$

Exponent Rule: $\frac{b^m}{b^n} =b^{m-n}$

Step 1: Write expression

$\frac{(ab^2)^3}{b^5}$

Step 2: Exponent Exponents

$\frac{a^3b^6}{b^5}$

Step 3: Simplify

$a^3b$

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The proportion of a population with a characteristic of interest is p = 0.37. What is the standard deviation of the sampling dis

lukranit [14]

The standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 is equal to 0.0121.

<h3>What is a sample proportion?</h3>

A sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.

Mathematically, sample proportion can be calculated by using this formula:

$\hat{p} = \frac{x}{n}$

Where:

x represent the number of individuals with a specified characteristic.
n represent the total number of individuals in a sample.

In Mathematics, the standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 can be calculated by using this formula:

Standard deviation (SD) = √(p(1 - p)/n)

Substituting the given parameters into the formula, we have;

Standard deviation (SD) = √(0.37(1 - 0.37)/1,600)

Standard deviation (SD) = √(0.37(0.63)/1,600)

Standard deviation (SD) = √(0.2331)/1,600)

Standard deviation (SD) = √0.0001457

Standard deviation (SD) = 0.0121.

Read more on standard deviation here: brainly.com/question/14467769

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8 0

1 year ago

In the next election, 15,000 people will actually vote for Candidate A. A poll has a percent error of 4%. Which statement descri

salantis [7]

The poll has an error of 600 votes. The total number of votes including the error shown by the poll is 15600 or 14400.

Statement B is correct.

<h3>What is the percentage?</h3>

A percentage can be defined as a relative number that shows the hundredth part of the given number. The percentage is represented by the sign "%".

Given that In the next election, 15,000 people will actually vote for Candidate A. A poll has a percent error of 4%.

The error can be calculated as given below.

$error = 15000 \times \dfrac {4}{100}$

$error = 600$

The poll has an error of 600 votes. This will affect the total number of votes in the election.

The total number of votes V including errors are given as,

<em />

<em /> $V = 15000 +/- error$

$V = 15000 + 600 = 15600$

$V = 15000-600 = 14400$

Hence we can conclude that the total number of votes including the error shown by the poll is 15600 or 14400. Statement B is correct.

To know more about the percentage, follow the link given below.

brainly.com/question/8011401.

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5 0

2 years ago

3√27+10 What is the value of the expression?

leonid [27]

Answer:

Exact Form:

√

Decimal Form:

25.58845726