The total tickets to be purchased to guarantee the win = 504 tickets
Step-by-step explanation:
Step 1 :
Number of entries in the trifecta race = 9
The win is to select the first finisher, second finisher and third finisher in their proper order.
We need to find the number of tickets to be purchased to guarantee the win
Step 2 :
Number of ways to select the first finisher = 9
Number of ways to select the second finisher = 8 [the first is selected and fixed. So the number of available finishes is reduced by 1]
Number of ways to select the third finisher = 7
Hence the total tickets to be purchased to guarantee the win = 9 × 8 × 7 = 504
Step 3 :
Answer :
The total tickets to be purchased to guarantee the win = 504 tickets
Answer:
B. 27 < AB < 81
Step-by-step explanation:
The triangle inequality requires that the length of any given side of a triangle be greater than the difference and less than the sum of the other two sides.
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<h3>application</h3>
54 -27 < AB < 54 +27
27 < AB < 81
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<em>Additional comment</em>
Some versions of the triangle inequality allow the "or equal to" case.
27 ≤ AB ≤ 81
Apparently, the one used here does not.
If the sum of the two short sides is equal to the long side, the "triangle" looks like a line segment. Its altitude and area are zero.
If you would like to know what is the machine's value after 5 years, you can calculate this using the following steps:
1 year: $500,000 - 10% * $500,000 = 500,000 - 10/100 * 500,000 = $500,000 - $50,000 = $450,000
2 years: $450,000 - 10% * $450,000 = 450,000 - 10/100 * 450,000 = $450,000 - $45,000 = $405,000
3 years: $405,000 - 10% * $405,000 = 405,000 - 10/100 * 405,000 = $405,000 - $40,500 = $364,500
4 years: $364,500 - 10% * $364,500 = 364,500 - 10/100 * 364,500 = $364,500 - $36,450 = $328,050
5 years: $328,050 - 10% * $328,050 = 328,050 - 10/100 * 328,050 = $328,050 - $32,805 = $295,245
The correct result would be $295,000.
Total balloons = 48
Red balloons = 16
The odds are 16/48
There is a 1 in 3 chance of you picking a red balloon
I hope this helped!
- Z
