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puteri [66]
2 years ago
8

Given the equation y+2=5(x-3), identify the point and slope being used in the problem.

Mathematics
1 answer:
Murljashka [212]2 years ago
4 0

Answer:

Point (3,-2) and Slope = 5

Option C is correct option.

Step-by-step explanation:

Given the equation y+2=5(x-3), identify the point and slope being used in the problem.

The equation is given in point-slope form

The general equation of point-slope form is: y-y_1=m(x-x_1)

Where m is slope and (x₁,y₁) is the point

Comparing the given equation y+2=5(x-3) with general equation we get

m=5,

x₁=3

y₁=-2

So, Point (3,-2) and Slope = 5

Option C is correct option.

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Step-by-step explanation:

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Total ways of selecting r items from n items is

^nC_r=\dfrac{n!}{r!(n-r)!}

(a)

Total ways of selecting 3 females and 2 males.

\text{Total ways}=^7C_3\times ^5C_2

\text{Total ways}=\dfrac{7!}{3!(7-3)!}\times \dfrac{5!}{2!(5-2)!}

\text{Total ways}=35\times 10

\text{Total ways}=350

(b)

Total ways of selecting 4 females and 1 male.

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\text{Total ways}=32\times 5

\text{Total ways}=175

(c)

Total ways of selecting 5 females.

\text{Total ways}=^7C_5\times ^5C_0

\text{Total ways}=21\times 1

\text{Total ways}=21

(d)

Total ways of selecting at least 4 females.

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A) The color of an automobile

The color of car is not a quantitative variable as its outcome cannot be measured and expressed in value. It is a categorical variable.

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Some variables like zip codes take numerical values. But they are not considered quantitative. They are considered as a categorical variable because average of zip codes have no significance.

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