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Lady_Fox [76]
2 years ago
10

What is the slope of the line that contains the points (-1,2) and (4,3)

Mathematics
1 answer:
Bad White [126]2 years ago
4 0

Answer:

1/5

Step-by-step explanation:

We can find the slope using the slope formula

m = (y2-y1)/(x2-x1)

   = (3-2)/(4 - -1)

   (3-2)/(4+1)

    1/5

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Solve for x and explain the steps:<br> 3x-6=4(2-3x)-8x
mote1985 [20]

Answer: x = 14/23

Step-by-step explanation:

3x-6=4(2-3x)-8x

3x-6=8-12x-8x --> Expand 4(2-3x)

3x-6=8-20x --> Collect like terms

3x-6+6=8-20x+6 --> Add 6 to both sides, to remove it from the right side

3x=-20x+14

3x+20x=-20x+14+20x --> Add 20x to both sides, to remove it from the left side

23x=14

\frac{23x}{23}=\frac{14}{23} --> Divide both sides by 23

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2 years ago
450 high school freshmen were randomly selected for a national survey. Among survey participants, the mean grade-point average (
umka21 [38]

Answer:

The margin of error is of 0.01.

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 - 0.7}{2} = 0.15

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.15 = 0.85, so Z = 1.037.

The margin of error is of:

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

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

Standard deviation was 0.21.

This means that \sigma = 0.21

Sample of 450:

This means that n = 450

What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?

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

M = 1.037\frac{0.21}{\sqrt{450}}

M = 0.01

The margin of error is of 0.01.

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Step-by-step explanation:

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