4. Fourteen musical acts have asked to perform at Springfield High School's winter talent show. Eight of them play acoustic music and 6 play electric music. Unfortunately, there is only room on the program for 10 acts.
a. How many different groups of 10 acts can be selected to play in the winter show?
b. If the 10 musical acts are randomly selected, what is the probability that all of the electric acts get to
play in the show?

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

50*10 is greater

step-by-step explanation:

if you add the zero from 10 to 50, it will give you a bigger number.

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

oof

step-by-step explanation: