A circus ticket costs $7. On weekdays, the circus sells tickets at a 15% discount. What is the amount of the discount? How much
2 answers:
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Answer:
(b)0.56
(c)0.38
Step-by-step explanation:
(a)
P(Ben Pass) =0.8
Therefore: P(Ben fails)=1-0.8 =0.2
P(Tom Pass) =0.7
Therefore: P(Tom fails)=1-0.7 =0.3
See attached for the completed tree diagram
(b)Probability that both will pass
P(both will pass)=P(Ben pass and Tom pass)
=P(Ben pass) X P(Tom pass)
=0.8 X 0.7
=0.56
(c)The probability that only one of them will pass
Since either Tom or Ben can pass, we have:
P(only one of them will pass)
=P(Ben pass and Tom fails OR Ben Fails and Tom Pass)
=P(Ben pass and Tom fails)+P(Ben Fails and Tom Pass)
=(0.8 X 0.3) + (0.2 X 0.7)
=0.24 + 0.14
=0.38
-2x - 13 = -3x - 5
Step 1: Combine like terms
x's go with x's (-2x and -3x). To do this add 2x to both sides
(-2x + 2x) - 13 = (-3x + 2x) - 5
(0) - 13 = (-x) - 5
- 13 = -x - 5
normal numbers go with normal numbers ( -13 and -5). To do this add 5 to both sides
(- 13 + 5) = -x + (- 5 + 5)
-8 = -x + (0)
-8 = -x
Step 2: Isolate x by dividing -1 to both sides (this will take the negative sign away from the x)
8 = x
x= 8
Hope this helped!