There are 100 members of the u. s. senate with 2 members from each state. in how many ways can a committee of 5 senators be formed if no state may be represented more than once?

There are 2118760 ways to select a committee of 5 senators be formed if no state may be represented more than once

Solution:

Given that, There are 100 members of the U.S. Senate with 2 members from each state.  

Which means there are senates from 100/2 = 50 states.

We have to find in how many ways can a committee of 5 senators be formed if no state may be represented more than once?

As no state can be represented more than once, we just have to take 1 from each state for selections.

So, now we will have 50 senators out of who we have to pick 5 senators.

As we just have to select the senators. We can use combinations here.

In combinations, to pick r items from n items, there will be ways

Then, here we have to pick 5 out of 50:

Hence, there are 2118760 ways to select.

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.