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3 years ago

1. Solve for y 4x + 2y = 6

Mathematics

1 answer:

xenn [34]3 years ago

5 0

Answer:

y = -2x + 3

Step-by-step explanation:

4x + 2y = 6

⇔ 2y = $\frac{6 - 4x}{2} = \frac{6}{2} - \frac{4x}{2} = 3 - 2x = -2x + 3$

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1 year ago

Conrad bought 21 stamps from a hobby shop. He gave 3/7 of them to his brother. He put

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He put 12 stamps in his collection.

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3 years ago

The perimeter of a rectangle is 42 cm and the area is 80 cm². Write an equation to model the situation and find the dimensions o

mafiozo [28]

Answer:

16cm by 5cm

Step-by-step explanation:

P=2(l+w)

A= wl

80 factorization: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80.

you then would have to find 2 numbers that would add up to make 42.

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3 years ago

The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.

valina [46]

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.85}{2} = 0.075$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.075 = 0.925$ , so Z = 1.44.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that $\sigma = \sqrt{1.69} = 1.3$

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.14 = 1.44\frac{1.3}{\sqrt{n}}$

$0.14\sqrt{n} = 1.44*1.3$

$\sqrt{n} = \frac{1.44*1.3}{0.14}$

$(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2$

$n = 178.8$

Rounding up

A sample of 179 is needed.

7 0

3 years ago

24 written as a percentage

Yanka [14]

Any number is equal to that number over 1

So x is equal to x/1

Same thing with 24. 24 = 24/1

To get it into percent we multiply by 100 so:

$\sf{\frac{24}{1}=\frac{24\times100}{1\times100}}$

And simplifying that we get

$\sf{\frac{2400}{100}}$

And x/100 = x%

so 2400/100 = 2400%

So your answer is <em><u>2400%</u></em> :)

5 0

3 years ago

1. Solve for y 4x + 2y = 6​

1. Solve for y 4x + 2y = 6