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trapecia [35]
3 years ago
5

Find the slope and the Y-intercept of the graph of y-6=3/8x

Mathematics
2 answers:
balandron [24]3 years ago
8 0

Answer:

Slope =3/8

y-intercept is:(0,6)

Step-by-step explanation:

Mice21 [21]3 years ago
3 0

Answer:

first, we should make sure the form is y = mx + b.

y = 3/8x + 6

therefore, the slope is 3/8, and the y-intercept is 6.

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Answer:

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Step-by-step explanation:

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3 years ago
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
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Step-by-step explanation:

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