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ser-zykov [4K]
3 years ago
13

PLEASE HELP ME!!!!! What is the equation of the line that passes through the points (−2, 3) and (2, 7)? (5 points) a. x − y = −1

b. x − y = −2 c. x − y = − 5 d. x − y = − 6

Mathematics
2 answers:
Aloiza [94]3 years ago
8 0

Answer:

The expression for a line that passes throug the points (-2;3) and (2;7) is:

x - y = -5

Option C

Step-by-step explanation:

The expression for a line that passes through 2 differents points can be obtained by the following formula:

y - yo = m(x-xo)

The coordinate of the point Po(xo,yo) can be either of the given points. The value of m is calculated like:

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

Where x2 and y2 are the coordinates for the point P2 and x1 and y1 the  coordinates for the point P1. Assuming P1(-2;3) and P2(2;7), the value of m results:

m = (7-3)/(2-(-2)) = 4/4 = 1

Replacing m and the coordinates of P1 as the coordinates of Po, in the expression for the line we obtain:

y - 3 = (1)(x - (-2))

y - 3 = (1)(x+2)

y  = x + 2+ 3  

y = x + 5

-5 = x - y

x - y = -5

Hunter-Best [27]3 years ago
3 0
I hope that this helps!

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kogti [31]

Using a discrete probability distribution, it is found that:

a) There is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.

b) There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.

c) The expected value is of 1.3 lawns mowed on a randomly selected day.

<h3>What is the discrete probability distribution?</h3>

Researching the problem on the internet, it is found that the distribution for the number of lawns mowed on a randomly selected dayis given by:

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Item a:

P(X = 2) = 0.3, hence, there is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.

Item b:

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There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.

Item c:

The expected value of a discrete distribution is given by the <u>sum of each value multiplied by it's respective probability</u>, hence:

E(X) = 0(0.2) + 1(0.4) + 2(0.3) + 3(0.1) = 1.3.

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Answer:

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