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2 years ago

Y = (x - 2)2 + 3 Identify the vertex of the parabola

Mathematics

1 answer:

Ivanshal [37]2 years ago

4 0

9514 1404 393

Answer:

(2, 3)

Step-by-step explanation:

Compare the given equation ...

y = (x -2)^2 +3

to the vertex form ...

y = (x -h)^2 +k

You can see that h=2 and k=3.

The vertex of the parabola is (h, k) = (2, 3).

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2 years ago

A local grocery store chain has a sushi stand. That sushi stand makes samples for store customers to entice customers to purchas

Liula [17]

Answer: 0.99822

Step-by-step explanation:

Our inter-arrival time follows Poisson distribution with parameter 14 which is in hour so first we have to calculate this in minutes as we have to calculate probability in minutes.

So converting 14 into minutes will give $\frac{14}{60}$ =0.233

Let X=inter-arrival time between two customers

and here $\lambda$ = 0.233

Probability(X is less than or equal to 2 minutes) = P(X=0) + P(X=1) + P(X=2)

Now the Poisson distribution has PDF = $\frac{\exp ^{-\lambda }\times \lambda ^{X}}{X!}$

So P(X = 0) = $\frac{\exp ^{-0.233}\times 0.233^{0}}{0!}$ = 0.79215

P(X= 1) = $\frac{\exp ^{-0.233}\times 0.233^{1}}{1!}$ = 0.18457

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Now adding all three probability gives = 0.79215 +0.18457 + 0.02150=0.99822

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3 years ago