Select the values that make the inequality true.
1 answer:
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Answer:
The number of same-day tickets sold is 15
The number of advance ticket sold is 20
Step-by-step explanation:
Given as :
The cost of each Advance ticket = $35
The cost of each same-day ticket = $30
The total cost of the tickets sold = $1150
The total number of tickets sold = 35
Let The number of advance ticket sold = a
And The number of same-day ticket sold = s
Now, According to question
The total number of tickets sold =The number of advance ticket sold + The number of same-day ticket sold
I.e a + s = 35 .....A
The total number of tickets sold = The cost of each Advance ticket × The number of advance ticket sold + The cost of each same-day ticket × The number of same-day ticket sold
I.e $35 a + $30 s = $1150
or, 35 a + 30 s = 1150 .......B
Now, solving eq A and B
35 × ( a + s) - ( 35 a + 30 s ) = 35 × 35 - 1150
or, ( 35 a - 35 a ) + ( 35 s - 30 s ) = 1225 - 1150
or, 0 + 5 s = 75
∴ s =
I.e s = 15
So, The number of same-day tickets sold = s = 15
Put the value of s in Eq A
So, a + 15 = 35
∴ a = 35 - 15
I.e a = 20
So, The number of advance ticket sold = a = 20
Hence The number of same-day tickets sold is 15
And The number of advance ticket sold is 20 Answer
Answer: Choice B
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Work Shown:
This points us to answer choice B
Answer:
a) 80% probability that he wins at least one race.
b) 30% probability that he wins exactly one race.
c) 20% probability that he wins neither race.
Step-by-step explanation:
We solve this problem building the Venn's diagram of these probabilities.
I am going to say that:
A is the probability that he wins the first race.
B is the probability that he wins the second race.
C is the probability that he does not win any of these races.
We have that:
In which a is the probability that he wins the first race but not the second and is the probability that he wins both these races.
By the same logic, we have that:
The probability that he wins both races is 0.5.
This means that
The probability that he wins the second race is 0.6
This means that
The probability that he wins the first race is 0.7.
This means that
A) he wins at least one race.
This is
There is an 80% probability that he wins at least one race.
B) he wins exactly one race.
This is
There is a 30% probability that he wins exactly one race.
C) he wins neither race
Either he wins at least one race, or he wins neither. The sum of these probabilities is 100%.
From a), we have that there is an 80% probability that he wins at least one race.
So there is a 100-80 = 20% probability that he wins neither race.