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kifflom [539]
3 years ago
12

Find the value of x that will make L parallel to m

Mathematics
2 answers:
katen-ka-za [31]3 years ago
7 0

Answer:

x = 7

Step-by-step explanation:

If L is parallel to M, therefore:

7x - 7 = 4x + 14 (alternate interior angles are congruent)

7x - 7 - 4x = 4x + 14 - 4x (subtraction property of equality)

3x - 7 = 14

3x - 7 + 7 = 14 + 7 (addition property of equality)

3x = 21

Divide both sides by 3

x = 7

Gre4nikov [31]3 years ago
7 0

Answer:

7

Step-by-step explanation:

Correct for Acellus!

I wish you luck with geometry!

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Your neighbor has a bag with 5 oranges and 7 apples in it. You will be receiving two pieces of fruit from your neighbor. What is
Snezhnost [94]

Answer:

31.82% probability that you will receive 2 apples.

Step-by-step explanation:

The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

5 + 7 = 12 total fruits, which means that N = 12

7 apples, which means that k = 7

You receive 2 fruits, which means that n = 2

What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?

This is, as a proportion, P(X = 2). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,12,2,7) = \frac{C_{7,2}*C_{5,0}}{C_{12,2}} = 0.3182

0.3182*100% = 31.82%

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