All seasons plumbing has two service trucks that frequently need repair. if the probability the first truck is available is 0.70, the probability the second truck is available is 0.60, and the probability that both trucks are available is 0.49 what is the probability neither truck is available? (round your answer to 2 decimal places.)

The probability that neither truck is available is 0.19

Step-by-step explanation:

P(A) = Probability 1st truck available = 0.70

P(B) = Probability 2nd truck available = 0.60

P(A∩B) = Probability that both trucks are available = 0.49

P(A'∩B') = Probability that neither truck is avilable = ???

P(A∪B) = probability that 1st truck is available or 2nd truck is available or both trucks are available.

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = 0.70 + 0.60 - 0.49

P(A∪B) = 0.81 > this is the probability that any event happens

Let's find the probability that neither event happens P(A'∩B')

P(A'∩B') = 1 - P(A∪B)

P(A'∩B') = 1 - 0.81 = 0.19

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

your answer is 228

step-by-step explanation:

add the top and bottom bases together, then divide them by 2, then multiply by the height.