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BigorU [14]
3 years ago
8

All Seasons Plumbing has two service trucks that frequently need repair. If the probability the first truck is available is 0.75

, the probability the second truck is available is 0.50, and the probability that both trucks are available is 0.30. What is the probability neither truck is available
Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
4 0

Answer: There is a probability of 0.05 that there is neither truck is available.

Step-by-step explanation:

Since we have given that

Probability that the first truck is available = 0.75

Probability that the second truck is available = 0.50

Probability that both trucks are available = 0.30

So, probability that either first truck or second truck is available is given by

P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\P(A\cup B)=0.75+0.50-0.30\\\\P(A\cup B)=0.95

We need to find the probability that neither truck is available.

so, P(A∪B)'=1-P(A∪B)

P(A\cup B)'=1-0.95=0.05

Hence, there is a probability of 0.05 that there is neither truck is available.

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arsen [322]

Answer:

a. 215.6 in^3

b. 1.51 lb

Step-by-step explanation:

The area of each hand grip hole is that of a circle of radius 0.6 in together with a rectangle 2 in long and 1.2 in wide. So, that area is ...

π·(0.6 in)^2 + (2 in)(1.2 in) = (0.36π +2.4) in^2

The area of the kickboard before the hand grip holes are put in is that of a semicircle of radius 5.5 in together with a rectangle 12 in long and 11 in wide. So, that area is ...

(1/2)·π·(5.5 in)^2 + (12 in)(11 in) = (15.125π +132) in^2

Taking the hand grip holes out, the top area of the board is ...

((15.125π +132) -2(0.36π +2.4)) in^2

= (14.405π + 127.2) in^2

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a. The volume is the product of the area and the thickness, so is ...

((14.405π +127.2) in^2)·(1.25 in) ≈ 215.568 in^3

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b. The weight of the kickboard is the product of its volume and its density:

(215.568 in^3)(0.007 lb/in^3) ≈ 1.509 lb

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3 years ago
A rectangle has a length of (x + 4) inches and a width of (x) inches. If the area of the rectangle is 192 inches squared, what i
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Step-by-step explanation:

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Step-by-step explanation:

Which statements about countries with lower GDP and lowest HDI scores are accurate?

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