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chubhunter [2.5K]
3 years ago
6

Equation of (0, -5) and (5, -3)

Mathematics
2 answers:
shepuryov [24]3 years ago
4 0

Answer:

y = (⅖)x - 5

Step-by-step explanation:

Slope: (-3+5)/(5-0) = 2/5

(0,-5) means c is -5

y = (⅖)x - 5

Serjik [45]3 years ago
4 0

For both point-slope form and intercept form, you need to know the points and the slope. To find the slope, use the formula m=\frac{rise}{run} =\frac{y_2-y_1}{x_2-x_1}.

(x1, y1) are the coordinates of first point in the line, and (x2, y2) are the coordinates of second point in the line .

m=\frac{rise}{run} =\frac{-3-5}{5-0} =\frac{2}{5}

We already know the slope, so now we just need to find the y-intercept (b). To find the y-intercept, you can use either points, because they'll come out the same. I'll be using the first point... b=-5-(2/5)(0), with this you find b=-5. Now we have the coordinates and the slope, so just replace them with their proper variables.

For point slope form (equation of line) y-y1=m(x-x1) so (y--5)=2/5(x-0) , in general form it's 0.4x-y-5=0  (general form is ax+by+c=0).

For slope intercept form y=mx+b so y=2/5x-5.

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! :-)  

- Cutiepatutie ☺❀❤

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1. -8(1+4x)+7x=-25-8x <br> 2. -5+6(x-7)=-40+5x<br> Could you show the work?
chubhunter [2.5K]

Answer:

1. x=1

2. x=7

Step-by-step explanation:

1. -8(1+4x)+7x=-25-8x

-8-32x+7x=-25-8x

8x-32x+7x=-25+8

-17x=-25+8

-17x=-17

\frac{-17x}{-17} =\frac{-17}{-17} \\x=1

2. -5+6(x-7)=-40+5x

-5+6x-42=-40+5x

-47+6x=-40+5x

x=47-40

x=7

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Assume that the empirical rule is a good model for the time it takes for all passengers to board an airplane. The mean time is 4
slamgirl [31]

Answer:

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 48, \sigma = 4.

Which interval describes how long it takes for passengers to board the middle 95% of the time?

This is between the 2.5th percentile and the 97.5th percentile.

So this interval is the value of X when Z has a a pvalue of 0.025 and the value of X when Z has a pvalue of 0.975

Lower Limit

Z has a pvalue of 0.025 when Z = -1.96. So

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-1.96 = \frac{X - 48}{4}

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Z has a pvalue of 0.975 when Z = 1.96. So

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X - 48 = 1.96*4

X = 55.84

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

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