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Pani-rosa [81]
3 years ago
15

Write the additive inverse of 14/113​

Mathematics
1 answer:
Helen [10]3 years ago
4 0

Step-by-step explanation:

just opposite it mesn 113/14

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What is the correct answer?​
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Answer:

D) 8

Step-by-step explanation:

You multiply 10 by 12 to get 120 so you multiply x by 12 to get 96.

96 = 12x

/12     /12

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A ladder leaning against a wall forms a triangle and exterior angles with the wall and the ground. What are the measures of the
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A group of three undergraduate and five graduate students are available to fill certain student government posts. If four studen
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Answer:

Pr = 0.4286

Step-by-step explanation:

Given

Let

U \to\\ Undergraduates

G \to Graduates

So, we have:

U = 3; G =5 -- Total students

r = 4 --- students to select

Required

P(U =2)

From the question, we understand that 2 undergraduates are to be selected; This means that 2 graduates are to be selected.

First, we calculate the total possible selection (using combination)

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

So, we have:

Total = ^{U + G}C_r

Total = ^{3 + 5}C_4

Total = ^8C_4

Total = \frac{8!}{(8-4)!4!}

Total = \frac{8!}{4!4!}

Using a calculator, we have:

Total = 70

The number of ways of selecting 2 from 3 undergraduates is:

U = ^3C_2

U = \frac{3!}{(3-2)!2!}

U = \frac{3!}{1!2!}

U = 3

The number of ways of selecting 2 from 5 graduates is:

G = ^5C_2

G = \frac{5!}{(5-2)!2!}

G = \frac{5!}{3!2!}

G =10

So, the probability is:

Pr = \frac{G * U}{Total}

Pr = \frac{10*3}{70}

Pr = \frac{30}{70}

Pr = 0.4286

5 0
2 years ago
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