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cupoosta [38]
2 years ago
14

(-2÷3)^-3 ÷ x = (9÷8)^-2​

Mathematics
1 answer:
ycow [4]2 years ago
6 0

Answer:

- 3⁷/2⁹

Step-by-step explanation:

  • (-2÷3)⁻³ ÷ x = (9÷8)⁻²
  • -(2⁻³)×3⁽⁻¹⁾ˣ⁽⁻³⁾ ÷ x = (3²)⁻²×(2⁻³)⁻²
  • -2⁻³×3³÷x = 3⁻⁴×2⁶
  • x = -2⁻³×3³ ÷ (3⁻⁴×2⁶)
  • x = - 2⁻³⁻⁶×3³⁻⁽⁻⁴⁾
  • x = -2⁻⁹×3⁷
  • x = - 3⁷/2⁹
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OpenStudy (judygreeneyes):

Hi - If you are working on this kind of problem, you probably know the formula for the probability of a union of two events. Let's call working part time Event A, and let's call working 5 days a week Event B. Let's look at the information we are given. We are told that 14 people work part time, so that is P(A) = 14/100 - 0.14 . We are told that 80 employees work 5 days a week, so P(B) = 80/100 = .80 . We are given the union (there are 92 employees who work either one or the other), which is the union, P(A U B) = 92/100 = .92 .. The question is asking for the probability of someone working both part time and fll time, which is the intersection of events A and B, or P(A and B). If you recall the formula for the probability of the union, it is

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