A line passes through the points (-4,5) and (4,1).

Mathematics

1 answer:

kolbaska11 [484]2 years ago

8 0

Hey there!

Use the slope formula.

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

Plug in the points. (-4,5) and (4,1)

m= (1-5)/(4-(-4)

m= -4/4+4

m=-4/8

m=-1/2

To find the y-intercept, first plug it into the the point slope. You just need one set of points for this, I will use (4,1)

y-y1=m(x-x1)

y-1= -1/2(x-4)

y-1=-1/2x+2

Add 1 to the other side.

y= -1/2x+3

The 3 is your y-intercept. It is in slope intercept form now. (y=mx+b) The b is the y-intercept.

The equation of the line is usually represented by the slope intercept form, which you already have: y=-1/2x+3.

I hope this helps!

~kaikers

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MissTica

Answer:

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Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

The mean weight was 3398 grams with a standard deviation of 892 grams.

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