A lottery has 60 numbers. To win the jackpot one needs to match all 7 numbers that are drawn by the machine. Is this a PERMUTATI
1 answer:
Answer: Hence, our required probability is
Step-by-step explanation:
Since we have given that
Numbers in a lottery = 60
Numbers to win the jackpot = 7 numbers
We need to find the probability to hit the jackpot:
So, our required probability is given by
This is a combination problem as we need to select 7 numbers irrespective of any arrangements.
Hence, our required probability is [tex]\dfrac{1}{386206920}[/tex
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Answer:
Richard used of fabric for his project.
Step-by-step explanation:
Given:
Total amount of fabric =
Now To convert a mixed fraction to an improper fraction, Multiply the whole number part by the fraction's denominator, Add that to the numerator,Then write the result on top of the denominator.
can be Rewritten as
Number of pieces fabric was cut = 4
Richard is given one of four pieces of equal-sized fabric.
Amount of fabric Richard was given =
Amount of fabric left with Richard =
We need to find the amount of fabric Richards used for his project.
Solution:
Now we can say that;
amount of fabric Richards used for his project is equal to Amount of fabric Richard was given minus Amount of fabric left with Richard.
framing in equation form we get;
amount of fabric Richards used for his project =
Now we will make the denominator common using LCM we get;
amount of fabric Richards used for his project =
Now Denominator is same so we will solve the numerator.
amount of fabric Richards used for his project =
can be rewritten as
Hence Richard used of fabric for his project.