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3 years ago

15

Which of the following best describes the graph of this system of equations ? y=-2x+3 and 5y=-10x +15

1 answer:

ELEN [110]3 years ago

6 0

Remark

When talking about straight lines, D is never true. Never.

C is possible, but in this case not true. Read on.

B. Might be true but in this case it is not. The lines (to be parallel) have to have the same number in front of the x. These two lines do when you divide through by 5. But the y intercept has to be different. That is not so in this case. So B is incorrect.

A is your answer. If you divide through by 5 on the second one, you get the first one. They are identical.

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Find the distance between the pair of points: (2,3) and (-5, -3).<br><br>distance = ?

Snowcat [4.5K]

Answer:

9.219544457292887

Step-by-step explanation:

Use distance formula

√(−5−2)^2+(−3−3)^2

√(−7)^2+(−6)^2

√49+36

√85

√≈9.219544457292887

Hoped this helped!

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3 years ago

Find the solution to the equation 30x +7= 9. Give<br> your answer as a fraction.

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X = 1/15
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Students are on a 248.5-kilometer bike trip. They rode 52.4 kilometers on the first day. They rode 0.4 of the remaining distanc

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3 years ago

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How fast would you have to drive to go 183 miles in 3 hours?

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3 years ago

34 packages are randomly selected from packages received by a parcel service. The sample has a mean weight of 25.9 pounds and a

WINSTONCH [101]

Answer:

24.6 < μ < 27.2

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, 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.

$M = 1.96\frac{3.8}{\sqrt{34}} = 1.3$

The lower end of the interval is the sample mean subtracted by M. So it is 25.9 - 1.3 = 24.6 pounds.

The upper end of the interval is the sample mean added to M. So it is 25.9 + 1.3 = 27.2 pounds.

So the correct answer is:

24.6 < μ < 27.2

7 0

3 years ago