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Lisa [10]
3 years ago
6

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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Lemur [1.5K]
Xx el sns ska so 55 . 66
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4 years ago
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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

Top 2%.

X when Z has a pvalue of 1-0.02 = 0.98. So X when Z = 2.055.

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

2.055 = \frac{X - 3.2}{0.8}

X - 3.2 = 2.055*0.8

X = 4.844

7 0
4 years ago
NEED THE ANSWER ASAP
Kisachek [45]

Answer:

c = 7\sqrt{3}

Step-by-step explanation:

Using the sine ratio in the left right triangle and the exact value

sin45° = \frac{\sqrt{2} }{2}, then

sin45° = \frac{opposite}{hypotenuse} = \frac{a}{7\sqrt{2} } = \frac{\sqrt{2} }{2} ( cross- multiply )

2a = 14 ( divide both sides by 2 )

a = 7

----------------------------------------------------------------

Using the tangent ratio in the right triangle and the exact value

tan30° = \frac{1}{\sqrt{3} } , then

tan30° = \frac{opposite}{adjacent} = \frac{a}{c} = \frac{7}{c} = \frac{1}{\sqrt{3} } ( cross- multiply )

c = 7\sqrt{3}

-------------

4 0
4 years ago
A computer sells for $610. It is now on sale for 1/5 off the original price. Derek has a coupon for an extra 10% off the sale pr
belka [17]

Derek will  pay $625.25 less than the original prize

<u>Step-by-step explanation:</u>

The selling price of the computer=$610

The selling prize is 1/5 of its original prize

Derek has a 10% off coupon

Let the original prize of the computer=x

selling prize=x-x/5

4x/5=610

4x=3050

x=3050/4=762.5

The\ prize\ at\ which\ Derek\ will\ buy\ the\ computer=x \times 1/5 \times (100-10)/100\\=x\times 1/5 \times 90/100\\=9x/50\\

the difference in the original prize and the prize at which Derek bought the computer=x-9x/50

=41x/50

41 \times 762.5/50\\=$625.25

Derek will pay $625.25 less than the original price for the computer.

8 0
3 years ago
PLEASE HELP DUE IN 10 MINUTES!!!!!!!!!!​
Tpy6a [65]
7.) yes 8.) no 9.) yes 10.) yes 11.) yes 12.) no 13.) no 14.) no 15.) yes I think
4 0
3 years ago
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