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goblinko [34]
3 years ago
9

Solve the compound inequalities: −7x−10≤60 and x−7<−6

Mathematics
1 answer:
hoa [83]3 years ago
8 0

Answer:

x= [ -10, 1)

Step-by-step explanation:

<u>Given</u>

  • −7x−10≤60 and x−7<−6

<u>Solving first one</u>

  • −7x−10≤60
  • -7x ≤ 70
  • x ≥ -10

<u>Solving second one</u>

  • x−7<−6
  • x < 7 - 6
  • x < 1

<u>Combined:</u>

  • -10 ≤ x < 1

<u>Interval</u>

  • x= [ -10, 1)
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Answer:

The probability that the household has only cell phones and has high-speed Internet is 0.408

Step-by-step explanation:

Let A be the event that represents U.S. households has only cell phones

Let B be the event that represents U.S. households have high-speed Internet.

We are given that 51% of U.S. households has only cell phones

P(A)=0.51

We are given that 70% of the U.S. households have high-speed Internet.

P(B)=0.7

We are given that U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected.

P(B|A)=0.8

\frac{P(A\capB)}{P(A)}=0.8\\P(A\capB)=0.8 \times P(A)\\P(A\capB)=0.8 \times 0.51\\P(A\capB)=0.408

Hence the probability that the household has only cell phones and has high-speed Internet is 0.408

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Step-by-step explanation:

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