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Oksi-84 [34.3K]
3 years ago
11

Carla has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 10 inches long, and 7 cm de

ep.. . (1 gallon = 231 in3, 1 inch = 2.54 cm). . Which of the following scenarios will happen?. . The paint will not fill the tray by 44.59 in3.. . The paint will not fill the tray by 469 cm3.. . The paint will fill the tray exactly.. . The paint will overfill the tray by 44.59 in3. @brookew41
Mathematics
2 answers:
STatiana [176]3 years ago
7 0
To determine the correct statement in the choices presented, we first have to solve the area of the tray. We assume it to be in a rectangular form so the area is:

Area = 10 in x 10 in x 7/2.54 in = 275.59 in³ for the paint tray
1 gallon paint = 231 in³ paint

Therefore, the correct answer is the first option. <span>The paint will not fill the tray by 44.59 in</span>³<span>.</span>
makkiz [27]3 years ago
6 0

Your answer is A.) The paint will not fill the tray by 44.59 in3

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Answer:

See steps below

Step-by-step explanation:

Let X be the random variable that measures the lifespan of a bulb.

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The probability that the bulb fails the first year is

\bf P(X\leq 12)=1-e^{-12/24}=1-e^{-0.5}=0.39347

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Let A and B be the events,

A = “The bulb will last at least 24 months”

B = “The bulb will last at least 18 months”

We want to find P(A | B).

By definition P(A | B) = P(A∩B)P(B)

but B⊂A, so  A∩B = B and  

\bf P(A | B) = P(B)P(B) = (P(B))^2

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\bf P(A | B)=(P(B))^2=(0.47237)^2=0.22313

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<em>Probability that at least one of them needs replacement at the first inspection =  </em>

\bf 1-\binom{6}{0}(0.39347)^0(1-0.39347)^{6}=1-(0.60653)^6=0.95021

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