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LuckyWell [14K]
3 years ago
9

LCM of 4, 6, 10, and 12

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
8 0

Answer:

360 is the LCM of 4,6,10 and 12

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Solve (x-3)^2=5<br> A. x=5+√3<br> B. x=-3+√5<br> C. x=3+√5<br> D. x=8 and x=-2
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3 years ago
Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati toTampa. Suppose we believe that actua
siniylev [52]

Answer:

a) The graph of the probability density function for flight time is shown below.

b) 1/2

c) 0

d) 130 minutes

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Let's deal with the flight times in minutes instead of hours, and let T be the random variable that represents the flight time. T is uniformly distributed between 120 minutes and 140 minutes. The probability density function for T is given by

f(t)=\frac{1}{140-120}=\frac{1}{20} for t in [120, 140]

a) The graph of the probability density function for flight time is shown below.

Delta Airlines quotes a flight time of 125 minutes for its flights from Cincinnati to Tampa.

b) The probability that the flight will be no more than 5 minutes late is given by

P(T \leq 125 + 5) = P(T \leq 130) = \int\limits_{120}^{130}\frac{1}{20}dt = \frac{1}{20}(130-120)= \frac{1}{20}(10) = \frac{1}{2}  

c) The probability that the flight will be more than 10 minutes late is given by

P(T \geq 125 + 10) = P(T \geq 135) = 0 because the probability density function is zero for t outside of [120, 140]

d) The expected flight time is given by E(T) = \frac{120+140}{2} = \frac{260}{2} = 130 minutes

8 0
3 years ago
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