The product of two rational numbers is 9⁄7 and one of them is 15⁄14. Then the other rational number is
1 answer:
Answer:
The other rational number in the operation given is:
- <u>6/5</u>
Step-by-step explanation:
To obtain the number in the operation given, we're gonna represent the operation:
- r * 15/14 = 9/7
Where:
- r = the other rational number.
Now we are going to solve r to identify its value in numbers:
- r * 15/14 = 9/7
(We pass a number that is multiplying to the left of the equal, to divide to the right of the equal symbol)
As you can see, when we operate, <u>the result is 6/5</u>, and we can prove this multiplying as we had in the original equation, replacing r by 6/5:
- r * 15/14 = 9/7
- 6/5 * 15/14 = 9/7
- 9/7 = 9/7
In this form, we know the result is correct.
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Answer:
0.0671% probability that at least 5 of them are born either in April or in October
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they were born in April or October, or they were not. The probabilty of a student being born in April or October is independent of other students. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Probability of a student being born in April or October
April has 30 days, October 31
The year has 365 days. So
A graduate class consists of six students.
This means that
What is the probability that at least 5 of them are born either in April or in October?
In which
0.0671% probability that at least 5 of them are born either in April or in October