Let be the event that a new car requires engine work under warranty and let be the event that the car requires transmission work under warranty. Suppose that , , and . (a) Find the probability that the car needs work on either the engine, the transmission, or both.

(b) Find the probability that the car needs no work on the engine.

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation:

a) at most means it can cost $12 or less

so the inequality sign would be ≤

you would then need to multiply the number of toppings by the 0.35 for each one and add it to the cost of the cheese pizza.

the equation would be 9.99 + 0.35x ≤ 12

b) using the above equation:

9.99 + 0.35x ≤ 12

subtract 9.99 from each side:

0.35x ≤2.01

divide both sides by 0.35:

x ≤ 2.01 / 0.35

x ≤5.74

at most you could have 5 toppings.

the 5 topping pizza would cost: 0.35 x 5 = 1.75 + 9.99 = $11.74