There are 7 yellow, 5 green, and 3 blue party hats in a bag. You randomly choose a yellow party hat and put it on. Then your friend randomly chooses a yellow party hat. What is the probability of both of you choosing a yellow hat?

Step-by-step

7 yellow, 5 green, 3 blue...total of 15

P(yellow party hat) = 7/15

do not replace

P(yellow hat) = 6/14

P(both) = 7/15 * 6/14 = 42/210 which reduces to 1/5 or 0.2 or 20%

Hopefully this helps!

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204