Each of four friends orders a sweatshirt from a catalog. there are 15 colors of sweatshirts, 5 of which are all cotton and 10 of which are a blend. each one orders a different color (no repeats) at random. what is the probability that the friends order only cotton sweatshirts?

Hence, the probability is:

Each of four friends orders a sweatshirt from a catalog.

There are 15 colors of sweatshirts, 5 of which are all cotton and 10 of which are a blend.

We have to find the probability that the friend order only cotton sweatshirt:

As there are 5 cotton shirts out of which four are to be selected from a total of 15 coloured shirts.

Now we know that a probability is defined as:

Probability=( Number of favourable outcomes)/(Total number of outcomes)/( Total number of outcomes)

So, the probability is:

Hence, the probability is:

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1