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nikitadnepr [17]
3 years ago
14

Which of the following is not a way to represent the solution of the inequality 2(x − 1) greater than or equal to −12?

Mathematics
1 answer:
kykrilka [37]3 years ago
7 0
For this case we have the following inequality:
 2(x-1) \geq -12
 Rewriting the inequality we have:
 2x-2 \geq -12
 From here, we clear the value of x.
 We have then:
 2x  \geq -12+2
 2x  \geq -10
 x  \geq  \frac{-10}{2}
 x \geq -5
 Therefore, the solution is given by the interval:
 [-5,∞)
 Answer:
 
the following is not a way to represent the solution of the inequality:
 
x less than or equal to −5
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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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Step-by-step explanation:

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