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3 years ago

Choose the equation that represents the line passing through the point (2, -5) with a slope of -3.

Mathematics

2 answers:

chubhunter [2.5K]3 years ago

7 0

Your answer is D.) y = -3x + 1

Troyanec [42]3 years ago

7 0

Answer: D. y=-3x+1

Step-by-step explanation:

y=mx+b

-5=-3(2)+b

-5=-6+b

Add the 6 to -5 making it

1=b

the answer will be y=-3x+1

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Eric's class consists of 12 males and 16 females. If 3 students are selected at random, find the probability that they

Reptile [31]

Answer:

The probability that all are male of choosing '3' students

P(E) = 0.067 = 6.71%

Step-by-step explanation:

Let 'M' be the event of selecting males n(M) = 12

Number of ways of choosing 3 students From all males and females

$n(M) = 28C_{3} = \frac{28!}{(28-3)!3!} =\frac{28 X 27 X 26}{3 X 2 X 1 } = 3,276$

Number of ways of choosing 3 students From all males

$n(M) = 12C_{3} = \frac{12!}{(12-3)!3!} =\frac{12 X 11 X 10}{3 X 2 X 1 } =220$

The probability that all are male of choosing '3' students

$P(E) = \frac{n(M)}{n(S)} = \frac{12 C_{3} }{28 C_{3} }$

$P(E) = \frac{12 C_{3} }{28 C_{3} } = \frac{220}{3276}$

P(E) = 0.067 = 6.71%

Final answer:-

The probability that all are male of choosing '3' students

P(E) = 0.067 = 6.71%

3 0

3 years ago

Solve for each variable.

dem82 [27]

Answer:

a = 38⁰

b = 54⁰

c = 54⁰

Step-by-step explanation:

a + 142⁰ = 180⁰ because a straight line = 180⁰

b + 38⁰ + 88⁰ = 180⁰ because the angles of a triangle equal 180⁰, and the missing measurement = 38⁰ because it is a vertical angle to angle a

c + 88⁰ = 142⁰ because the angles are corresponding angles

5 0

3 years ago

The radius of the large sphere is double the radius of the small sphere. How many times is the volume of the large sphere than t

kobusy [5.1K]

The volume of a sphere is $\cfrac{4}{3}\ \pi r^3$

So, if the small sphere has radius $r$ and the largest sphere has radius $2r$ , their volumes are

$V_1 = \cfrac{4}{3}\ \pi r^3,\quad V_2 = \cfrac{4}{3}\ \pi (2r)^3 = \cfrac{4}{3}\ \pi 8r^3$

So, their ratio is

$\cfrac{V_2}{V_1} = \cfrac{\frac{4}{3}\ \pi 8r^3}{\frac{4}{3}\ \pi r^3} = 8$

7 0

3 years ago

Read 2 more answers

The result of 1/12×0,30 is please answer

Archy [21]

Answer:

0.025

Step-by-step explanation:

5 0

3 years ago

Kenneth signed up to receive Internet service for $13 per month plus a $30 start-up fee. Which equation could be used to find th

zimovet [89]

The equation 13x+30=134 can be used to find the number of months Kenneth can receive internet service.

Step-by-step explanation:

Given,

Start up fee to receive internet = $30

Per month charges = $13

Total amount = $134

Let,

x be the number of months.

y be the total cost.

y = 13x+30

Putting y=134

$134=13x+30\\13x+30=134$

The equation 13x+30=134 can be used to find the number of months Kenneth can receive internet service.

Keywords: equation, addition

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7 0

3 years ago