What is the volume of a cylindrical garbage pail with a radius of 10 centimeters and a height of 50 centimeters?
2 answers:
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Answer:
The extremes are 5 and 64.
The middle terms are 80 and 4.
Step-by-step explanation:
Given the proportion:
5 : 80 :: 4 :64
To find:
The extreme and middle terms of the given proportion.
Solution:
The given statement is in proportion if and only if the product of extremes i.e. the numbers at both the ends is equal to the product of middle numbers.
OR
First number Fourth number = Second number
Third number
First of all, let us check the two products.
5 64 = 320
And the second product:
80 4 = 320
The product is same therefore, the given numbers are in proportion.
The extreme terms are the first and the fourth numbers.
i.e. The extremes are 5 and 64.
The middle terms are 80 and 4.
Answer:
In a state lottery, you must correctly select 5 numbers (in any order) out of 40 to win the top prize.
1. How many ways can 5 numbers be chosen from 40 numbers?
40C5 = = 658008 ways.
2. You purchase one lottery ticket. What is the probability that you will win the top prize?
The answer is 5! ways or 120 ways.
Hence, probability of winning top prize = =0.0001 or 0.01 %
3. The order of the numbers mattered, will the probability of winning increase or decrease? Why?
The probability decreases.
The probability of winning a game when order matters is always less than the probability of winning a game when order does not matter. This is because the permutation is always greater than the combination.