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3 years ago

Which ones are rational, integers, whole, natural, irrational

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

3 0

All the fractions are rational, all the nonrepeating decimals are rational, all the repeating decimal are irrational, all the negative numbers are integers, and all the positive whole numbers are whole numbers. Zero is an integer, and find the square roots of those numbers and put them into one of the above categories.

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Using the distributive property to factorize the equation 3x^2+24x=0, you get

Natalka [10]

Answer:

Step-by-step explanation:

$3x^2+24x=0\\factor: 3x(x+8)=0\\x=0, -8$

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2 years ago

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Evaluate the expression. (8 − 5)3 − 24

Amiraneli [1.4K]

Answer:

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Step-by-step explanation:

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3 years ago

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Assume that a sample is used to estimate a population proportion μ . Find the margin of error M.E. that corresponds to a sample

hichkok12 [17]

Answer:

$MoE = 1.645\cdot \frac{13.1}{\sqrt{772} } \\\\MoE = 1.645\cdot 0.47147\\\\MoE = 0.776\\\\$

Step-by-step explanation:

Since the sample size is quite large, we can use the z-distribution.

The margin of error is given by

$MoE = z_{\alpha/2}(\frac{s}{\sqrt{n} } )$

Where n is the sample size, s is the sample standard deviation and $z_{\alpha/2}$ is the z-score corresponding to a 90% confidence level.

The z-score corresponding to a 90% confidence level is

Significance level = α = 1 - 0.90= 0.10/2 = 0.05

From the z-table at α = 0.05

z-score = 1.645

$MoE = 1.645\cdot \frac{13.1}{\sqrt{772} } \\\\MoE = 1.645\cdot 0.47147\\\\MoE = 0.776\\\\$

Therefore, the margin of error is 0.776.

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2 years ago

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Eddi Din [679]

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3 years ago

What is the equation of the line that passes through the point (8, -4) and<br> has a slope of 1/2

Eva8 [605]

Answer:

$y = \frac{1}{2}x - 8$

Step-by-step explanation:

1. Approach,

For this problem, the format of a line that will be used is, slope-intercept form;

$y = mx + b$

Where ( $m$ ) is the slope of the line, also known as the change in the line and $(b)$ is the y-intercept, or where the graph of the line intersects the y-axis. Since, in this problem, the slope of the line is given, all one has to do is substitute in a point on the given line and solve.

2. Finding the equation,

In this problem, the slope of the line is given. Therefore, to solve this problem, all one has to do is substitute in a point on the given line and solve.

$y = mx + b$

Substitute in the slope,

$y = \frac{1}{2}x + b$