Answer:
Consider the complete question is,
'The odds in favor of frank McKinney winning a hot dog eating contest are 2:9,
- Determine the probability that Frank will win the contest,
- Determine the probability that Frank will not win the contest'
Solution :
We know that,
Odds in favor : the ratio of the number of ways that an outcome can occur compared to how many ways it cannot occur.
We have,
So, total outcomes = 2 + 9 = 11,
Thus, the probability that Frank will win the contest = 
And,
The probability that Frank will win the contest = 
Answer:
Bag 1: 20
Bag 2: 40
Step-by-step explanation:
Let x be the amount taken out of bag 2
Then the amount left in each bag can be written as:
Bag 1: 50-3x
Bag 2: 50-x
Since we know that half of bag 2 is bag 1, that gives us:
50-3x = 1/2(50-x)
-> 50-3x = 25-x/2
Now lets isolate x and solve:
25 = 5x/2
-> 50 = 5x
-> x = 10
So plug x bag in for the original equations:
Bag 1: 50-3x = 50-3(10) = 20
Bag 2: 50-x = 50-10 = 40
Answer:
D
Step-by-step explanation:
is the correct answer i believe.
<u>Answer:</u>
Nickels = 44.6
Dimes = 3.4
<u>Step-by-step explanation:</u>
We know that Jessica has 48 coins of which some are nickels and some are dimes so we can write it as:
n = amount of nickels
d = amount of dimes
--- (1)
We are to find the number of nickels and dimes if their total worth is $3.25.
Since a dime is worth 10¢ and a nickel is 5¢, so it should be:
--- (2)
From (1):
Substituting this value of 
in (2) to get:
Finding by substituting the value of 
:
Answer:
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