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3 years ago

Write the equation of the line that is parallel to the graph of Y=1/2 X +6 and his Y intercept is -2

Mathematics

1 answer:

kakasveta [241]3 years ago

8 0

Answer: x=0

Step-by-step explanation: Find any equation parallel to the line.

Hope this helps you out! If you need anymore help, I am more than happy to help you out if you need it! ☺

-Karleif Jonsi-

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-0.113 blank =0.452x + 0.452

nataly862011 [7]

Answer:

a=-4

b=-4

Step-by-step explanation:

-0.113 blank =0.452x + 0.452

-0.113(a+bx) =0.452x + 0.452

-0.113a-0.113bx =0.452x + 0.452

so we have

-0.113a=0.452

a=-0.4520/0.113= -4

-0.113bx =0.452x

b=-0.452/0.113= -4

8 0

3 years ago

0.3x=15 Identify the slope and y-intercept.

masha68 [24]

Steps to solve:

0.3x = 15

~Divide 0.3 to both sides

0.3x/0.3 = 15/0.3

~Simplify

x = 50

This is a vertical line so the slope is undefined.

The line passes through the point (50, 0) and there is no y-intercept since its a straight vertical line.

Best of Luck!

8 0

3 years ago

Solve 8 = 2^x + 4 x = −4 x = −1 x = 0 x = 7

TEA [102]

None of these answers match up to the equation. The answer is 2. 2^2, 2x2=4
4+4=8
8=2^2+4

8 0

3 years ago

It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken if the desir

Ksju [112]

Answer:

We need a sample size of at least 75.

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:

$\alpha = \frac{1-0.95}{2} = 0.025$

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

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, we 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.

The standard deviation is the square root of the variance. So:

$\sigma = \sqrt{484} = 22$

With a .95 probability, the sample size that needs to be taken if the desired margin of error is 5 or less is

We need a sample size of at least n, in which n is found when M = 5. So

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

$5 = 1.96*\frac{22}{\sqrt{n}}$

$5\sqrt{n} = 43.12$

$\sqrt{n} = \frac{43.12}{5}$

$\sqrt{n} = 8.624$

$(\sqrt{n})^{2} = (8.624)^{2}$

$n = 74.4$

We need a sample size of at least 75.

6 0

3 years ago

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Which expression is equivalent to 4(2w + 3) + 2(3 + w)?

Semmy [17]

Once you combine it, you get 10w + 18

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3 years ago

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