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olganol [36]
4 years ago
15

If i drive 45 miles per hour how many minutes to drive 1 mile

Mathematics
1 answer:
Galina-37 [17]4 years ago
5 0
45 miles / 1 hour = 45 miles / 60 minutes
Set up a ratio:
45mi/60m = x mi/1m
x = (45×1)÷60 = 0.083333.... mi
Approximately 0.083 miles per minute
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The number of calls coming per minute into a hotel reservation center is Poisson random variable with mean 3.
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Answer:

a) 0.05

b) 0.9826

c) 0.000039308

Step-by-step explanation:

a) P_X(0) = \frac{e^{-3}3^0}{0!} = e^{-3} =  0.05

b) For two minutes, the mean is doubled, hence it is 6. In order to calculate the probability of al least two calls arriving, we calculate first the probability of the complementary event: At most 1 call will arrive. For that probability, we need to sum the probabilities of 0 and 1.

P_X(0) = e^{-6}

P_X(1) = \frac{e^{-6}*6^1}{1!} = 6*e^{-6}

Hence,

P(X \geq 2) = 1-P(X < 2) = 1- 7*e^{-6} = 0.9826

c) For five minutes the mean is 15. We need to sum the probabilities of 0, 1 and 2.

P_X(0) = e^{-15}

P_X(1) = e^{15}*15

P_X(2) = \frac{e^{-15}*15^2}{2!} = 112.5*e^{-15}

As a result,

P(X \leq 2) = e^{-15}(1+15+112.5) = 0.000039308

Practically 0

4 0
3 years ago
What is the value of the expression (10 ÷ 5) + 6 x 8 − 12?<br><br> 28<br> 35<br> 38<br> 43
pochemuha

Answer:

38

Step-by-step explanation:

..................

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Which graph is defined by the function given below? y=(x+2)(x+7)
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Answer: Graph A
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Answer:

the two graph depicting proportional relationships are the top right and bottom left graphs

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