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3 years ago

1: Is 5 / 3(1-x) Equivalent to 8-8x 2: Is 2(6 - 3x) equivalent to 2(3x) +x?

Mathematics

1 answer:

iris [78.8K]3 years ago

4 0

Answer:

1. no. 2.no

Step-by-step explanation:

1. $\frac{5}{3 - 3x}$

= (5\3) × (1/1-x)

but 8-8x = 8(1-x)

2. 2(6-3x) = 12-6x =6(2-x)

2(3x) + x= 6x +x = 7x

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Answer:

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Step-by-step explanation:

Subtract 7 from the first one:

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Subtract 3 from the second one, then multiply by 4.

y/4 ≤ 2

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Now, you can write these as a compound inequality:

-8 ≤ y ≤ 8

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<em>Additional comment</em>

You basically solve these the same way you would an equation. The only difference is that multiplying or dividing by a negative number will reverse the inequality symbol:

2 > 1

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The summer solstice can occur on any day of the week with each day being equally likely. What is the probability the summer sols

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3 years ago

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a directed line segment AB on he coordinate plane starts from A (3, 0) and ends at B (12, -9). Find the y coordinate of point C

Anastaziya [24]

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Data

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Formula

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3 years ago

Random sample size of 81 are taken from an infinite population whose mean and standard deviation are 200 and 18, respectively. T

Ugo [173]

Answer:

the mean and standard error of the mean are 200 and 2 respectively.

Step-by-step explanation:

Given that ;

the sample size n = 81

population mean μ = 200

standard deviation of the infinite population σ = 18

A population is the whole set of values, or individuals you are interested in, from an experimental study.

The value of population characteristics such as the Population mean (μ), standard deviation (σ) are said to be known as the population distribution.

From the given information above;

The sample size is large and hence based on the central limit theorem the mean of all the means is same as the population mean 200.

i.e

$\mu = \bar \mu_x$ = 200

∴ The mean = 200

and the standard error of the mean can be determined via the relation:

$\mathbf{standard \ error \ of \ mean = \dfrac{\sigma}{\sqrt {n}}}$

$\mathbf{standard \ error \ of \ mean = \dfrac{18}{\sqrt {81}}}$

$\mathbf{standard \ error \ of \ mean = \dfrac{18}{9}}$

$\mathbf{standard \ error \ of \ mean =2}$

Therefore ; the mean and standard error of the mean are 200 and 2 respectively.

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