Trick or treaters arrive to your house according to a Poisson process with a constant rate parameter of 20 per hour. Suppose you begin sitting on your front porch, observing these arrivals, at some point in time. Suppose a trick or treater arrived 30 minutes ago, but there have been none since. What is the expected value of interarrival time (in minutes) from the previous trick or treater to the next one

Answers

Answer 1

Answer:

Answer:

The expected value of interarrival time (in minutes) from the previous trick or treater to the next one is 3 minutes.

Step-by-step explanation:

We have a Poisson process with a constant rate parameter of 20 arrival per hour.

This type of processes are memory-less, meaning that no matter how much time has passed form the last event, the probabilities of an arrival stay the same.

The mean interarrival time can be calculated as the inverse of the mean arrival for the Poisson process.

If the Poisson process has a rate of 20 arrivals per hour, the mean interarrival time is:

$\bar t=1/\lambda=1/20=0.05\,h/arrival=3 \,min/arrival$

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The critical points of a rational inequality are –1, 3, and 4. Which set of points can be tested to solve the inequality? x = 1 and x = 3.5 x = –1, x = 3, and x = 4 x = –2, x = 2, and x = 5 x = –3, x = 1, x = 3.5, and x = 5

Answers

Answer:

x=-3, x=1, x=3.5, and x=5

Step-by-step explanation:

Given the critical points (turning points) which represent the maximum or the minimum points, the set of points that can be tested to solve the inequality will consist of points to the right and to the left of these points. The set of points that solve the inequality will be simply the points where the graph of the function crosses the x-axis. From these information, the set of points will be as given above

Answer:

x=-3,x=1,x=3.5, and x=5

Step-by-step explanation:

4th one on edg

A fish tank has a base, B, with an area, in square inches, modeled by B(x) = 2x^2 + 6x + 4. The height, H, in inches, is modeled by H(x) = x + 3. Find the equation that models the fish tank’s volume, V, in cubic inches.A. V(x) = 2x^2 + 7x + 7

B. V(x) = 2x^2 + 5x + 1

C. V(x) = 2x^3 + 12x^2 + 22x + 12

D. V(x) = 2x^3 + 8x^2 + 10x + 4

Answers

Answer:

C. V(x) = 2x^3 + 12x^2 + 22x + 12

Step-by-step explanation:

The volume of a fish tank is the multiplication of the area of the base by the height.

In this question:

Area of the base: $B(x) = 2x^(2) + 6x + 4$

Height: $H(x) = x + 3$

Volume:

$V(x) = B(X)*H(x) = (2x^(2) + 6x + 4)(x + 3) = 2x^(3) + 6x^(2) + 4x + 6x^(2) + 18x + 12 = 2x^(3) + 12x^(2) + 22x + 12$

So the correct answer is:

C. V(x) = 2x^3 + 12x^2 + 22x + 12

203.530 divided by 0.7=

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If a 4000 watt oven is on for 5 hours, then how many kilowatt-hours (kw-hrs) of energy are used?

Answers

If a 4000 watt oven is on for 5 hours, then how many kilowatt-hours (kw-hrs) of energy are used?

Solution: We are given that the oven is 4000 watt and it is on for 5 hours.

We have to find the how many kilowatt-hours (Kw-hrs) of energy are used by the oven.

We first need to convert watts into kilowatt's. We know that:

$1Kw=1000 w$

Therefore, 4000 Watts $=(4000)/(1000)=4Kw$

Now, we can find how many kilowatt-hours (Kw-hrs) of energy are used by the oven.

Energy used by the oven $=4 * 5=20$ Kw-hrs

Therefore, 20 kilowatt-hours (kw-hrs) of energy are used by the oven.

.. help. ...................

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Answer:

Step-by-step explanation:

Using substitution, what is the first step to solve: x=6y+3 and x+2y=5.

Answers

Answer:

Step-by-step explanation:

Remark

You could do it a very convoluted way or you could do it simply. The simple way, I think, is the one intended. The x on the second equation is sitting by it itself. So is it in the first equation. Put the x from the first equation into the second.

Solution

x=6y+3 ===> x+2y=5.

6y + 3 + 2y = 5 First Step

8y + 3 = 5 Subtract 3 from both sides

8y = 5 - 3 Combine

8y = 2 Divide by 8

y = 2/8

y = 1/4

============================

x = 6y + 3

x = 6*(1/4) + 3

x = 6/4 + 3