Answer:
Step-by-step explanation:
Multiply by 4
so x+3=8*4
x+3=32
-3. -3
x=29
Answers:
- (a) Independent
- (b) Dependent
- (c) Dependent
- (d) Independent
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Explanation:
If events A and B are independent, then the two following equations must both be true
- P(A | B) = P(A)
- P(B | A) = P(B)
This is because the conditional probability P(A|B) means "P(A) when B has happened". If B were to happen, then P(A) must be the same as before. In other words, event B does not affect A, and vice versa.
For part (a), we have P(B) = 1/4 and P(B|A) = 1/4 showing that P(B|A) = P(B) is true, and therefore we can say the events are independent. We don't need the info that P(A) = 1/8.
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Unlike part (a), part (b) has the answer "dependent" because P(A) = 1/8 and P(A | B) = 1/3 differ in value. Event A starts off at probability 1/8, but then event B occurring means P(A) gets increased to 1/3. The prior knowledge about B changes the chances of A. The P(B) = 1/5 is unneeded.
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If A and B were independent, then,
P(A and B) = P(A)*P(B)
However,
P(A)*P(B) = (1/4)*(1/5) = 1/20
which is not the same as P(A and B) = 1/6. Therefore the two events are dependent.
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Refer back to part (a)
P(A) = 1/4 and P(A|B) = 1/4 are identical in value, so P(A|B) = P(A) which leads to the events being independent. Whether we know event B happened or not, it does not affect the outcome of event A. P(B) = 1/9 is unneeded.
B = F / (S-C)
B - breaking point in units
F - fixed costs, S - selling price, C - cost per racket.
S-C is the profit on a single unit
B = 740000 / (77.59 - 39.72) = 19540.53
The breaking point is approached after selling 19541 units.
9514 1404 393
Answer:
8x +36 = 15
Step-by-step explanation:
The fractions can be made to disappear by multiplying the equation by their least common denominator. That number is 18.
18(4/9x +2) = 18(5/6)
8x +36 = 15
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The solution is x = -21/8.
