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d1i1m1o1n [39]
2 years ago
15

WHICH INEQUILITY IS EQUIVALENT TO X-4<9

Mathematics
2 answers:
frez [133]2 years ago
5 0

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{x} < \textsf{13}

-------------------------------------------------------------------------------------------------------------

Given:  \textsf{x - 4} < \textsf{9}

Find: \textsf{The simplified inequality}

Solution:  In order to simplify the inequality we can simply add 4 to both sides which would isolate x.

<u>Add 4 to both sides</u>

  • \textsf{x - 4 + 4} < \textsf{9 + 4}
  • \textsf{x} < \textsf{9 + 4}
  • \textsf{x} < \textsf{13}

Therefore, an inequality that would be equivalent to the one that was provided in the problem statement is x < 13.

densk [106]2 years ago
5 0

Answer:

x < 13

Step-by-step explanation:

We start with the given inequality:

x - 4 < 9

Now the first thing to realize is that we can add the same number to both sides of the inequality and it remains unchanged.

we add 4 to both sides of the inequality to isolate the x on the left side of the inequality.

x - 4 + 4 < 9 + 4

x < 13

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a. The probability that a customer purchase none of these items is 0.49

b. The probability that a customer purchase exactly 1 of these items would be of 0.28

Step-by-step explanation:

a. In order to calculate the probability that a customer purchase none of these items we would have to make the following:

let A represents suit

B represents shirt

C represents tie

P(A) = 0.22

P(B) = 0.30

P(C) = 0.28

P(A∩B) = 0.11

P(C∩B) = 0.10

P(A∩C) = 0.14

P(A∩B∩C) = 0.06

Therefore, the probability that a customer purchase none of these items we would have to calculate the following:

1 - P(A∪B∪C)

P(A∪B∪C) =P(A) + P(B) + P(C) − P(A ∩ B) − P(A ∩ C) − P(B ∩ C) + P(A ∩ B ∩ C)

= 0.22+0.28+0.30-0.11-0.10-0.14+0.06

= 0.51

Hence, 1 - P(A∪B∪C) = 1-0.51 = 0.49

The probability that a customer purchase none of these items is 0.49

b.To calculate the probability that a customer purchase exactly 1 of these items we would have to make the following calculation:

= P(A∪B∪C) - ( P(A∩B) +P(C∩B) +P(A∩C) - 2  P(A ∩ B ∩ C))

=0.51 -0.23 = 0.28

The probability that a customer purchase exactly 1 of these items would be of 0.28

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3 years ago
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