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3 years ago

What equation is (2,-1) and (-4,5)

Mathematics

1 answer:

Verizon [17]3 years ago

3 0

Answer:

$y=-x+1$

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

(2,-1) and (-4,5)

substitute the values

$m=\frac{5+1}{-4-2}$

$m=\frac{6}{-6}$

$m=-1$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=-1$

$point\ (2,-1)$

substitute

$y+1=-(1)(x-2)$

$y+1=-(x-2)$

step 3

Convert to slope intercept form

$y=mx+b$

isolate the variable y

$y+1=-x+2$

$y=-x+2-1$

$y=-x+1$

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The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound

Brilliant_brown [7]

Answer:

4.844 pounds

Step-by-step explanation:

Problems of normally distributed samples are 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:

$\mu = 3.2, \sigma = 0.8$