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3 years ago

what is the equation in slope form of the line that is parallel to the given line and passes through the point (-3,1)

Mathematics

1 answer:

viktelen [127]3 years ago

6 0

Answer:

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate the slope of the given line using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 4) and (x₂, y₂ ) = (2, 2) ← 2 points on the line

m = $\frac{2+4}{2+2}$ = $\frac{6}{4}$ = $\frac{3}{2}$

Parallel lines have equal slopes and using (a, b) = (- 3, 1), then

y - 1 = $\frac{3}{2}$ (x - (- 3)), that is

y - 1 = $\frac{3}{2}$ (x + 3) ← in point- slope form

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a) 0.7412 = 74.12% probability that all the three orders will be filled correctly.

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For each order, there are only two possible outcomes. Either it is filled correctly, or it is not. Orders are independent. This means that we use the binomial probability distribution to solve this question.

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This means that $p = 0.905$

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This is P(X = 3).

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This is P(X = 0).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{3,0}.(0.905)^{0}.(0.095)^{3} = 0.0009$

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This is P(X = 1).

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This is

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With what we found in b:

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0.9991 = 99.91% probability that at least one of the three will be filled correctly.

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$p = 0.905*0.095*0.095 = 0.0082$

0.0082 = 0.82% probability that only your order will be filled correctly

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Answer:

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what is the equation in slope form of the line that is parallel to the given line and passes through the point (-3,1)​

what is the equation in slope form of the line that is parallel to the given line and passes through the point (-3,1)