Answer:
There are 75 ways to form the committee.
Step-by-step explanation:
The order in which the people are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
Considering the eldest has to be there, 2 men from a set of 6 and 4 boys from a set of 5(excluding the youngest), so:

There are 75 ways to form the committee.
<u><em>Both the statement and its contrapositive are true. </em></u>A right angle will always be 90 degrees, so both are true.
6 divided by 812 is very difficult to do without using a calculator - I would suggest the bus shelter method, as I've shown in the photo attached, but it is still quite difficult to use that method without a calculator.
<em>If</em>, however, you mean 812 divided by 6, that is a lot easier to calculate using the bus shelter method - so, just in case, I've attached the method for that too.
6 divided by 812 = 0.007389...
We can write an equation for this problem being, 500-(183+165)=152. So the answer is that your next must have a score of at least 152 or higher in order to win a bowling trophy.
Answer:
option (a) It will be closer to 30 than to 20
Step-by-step explanation:
Data provided in the question:
For sample 1:
n₁ = 10
variance, s₁² = 20
For sample 2:
n₂ = 15
variance, s₂² = 30
Now,
The pooled variance is calculated using the formula,

on substituting the given respective values, we get

or
= 26.0869
Hence,
the pooled variance will be closer to 30 than to 20
Therefore,
The correct answer is option (a) It will be closer to 30 than to 20