This venn diagram shows the pizza topping preferences for 9 students. let event a = the student likes pepperoni. let event b = the student likes olives. what is p(a or b)?

Step-by-step explanation:

We need to use the formula to calculate the probability of (A or B) where  

A=Probability a student likes pepperoni

B=Probability a student likes olive

A and B =Probability a student likes both toppings in a pizza

A or B =Probability a student likes pepperoni or olive (and maybe both), a non-exclusive or

The formula is

Since 6 students like pepperoni out of 9:

Since 4 students like olive out of 9:

Since 3 students like both toppings out of 9

Then we have

10a^3+277a^2-132a-792

step-by-step explanation:

(2a+11)(5a-12)(foil)

=10a^2-24a+55a-132 =10a^2+31a-132

(10a^2+31a-132)(a+6)

=10a^3+60a^2+31a^2+186a^2-132a-792 =10a^3+277a^2-132a-792

i hope this is what you are looking for : )

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step-by-step explanation: