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3 years ago

The triangle shown below has an area of 20 units.

Mathematics

1 answer:

harina [27]3 years ago

3 0

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Cars arrive at the Wendy's drive-through at a rate of 1 car every 5 minutes between the hours of 11:00 PM and 1:00 AM. on Saturd

mestny [16]

Answer:

1) $P(X = 8) = 0.1033$

$P(X = 9) = 0.0688$

2) Expected number of 200 restaurants in which exactly 8 customers use the drive-through: 20.66

Expected number of 200 restaurants in which exactly 9 customers use the drive-through: 13.76

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

$e = 2.71828$ is the Euler number

$\mu$ is the mean in the given time interval.

Question 1. Use the Poisson distribution to calculate the probability that exactly 8 cars will use the drive-through between 12:00 midnight and 12:30 AM on a Saturday night at Wendy's. Do the same for exactly 9 cars.

Cars arrive at the Wendy's drive-through at a rate of 1 car every 5 minutes between the hours of 11:00 PM and 1:00 AM. on Saturday nights. This means that during 30 minutes, 6 cars expected to arrive. So $\mu = 6$ .

P(X = 8)

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 8) = \frac{e^{-6}*(6)^{8}}{(8)!} = 0.1033$

P(X = 9)

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 9) = \frac{e^{-6}*(6)^{9}}{(9)!} = 0.0688$

Question 2. At how many of the 200 restaurants in the survey would you expect exactly 8 customers to use the drive-through? exactly 9 customers?

There is a 10.33 probability that 8 customers would use the drive through for each restaurant.

So of 200, the expected number is

$E(X) = 200*0.1033 = 20.66$

There is a 6.88 probability that 9 customers would use the drive through for each restaurant.

So of 200, the expected number is

$E(X) = 200*0.0688 = 13.76$

8 0

3 years ago

There is another answer: 210

bulgar [2K]

Answer:

The answer is B-35!

Step-by-step explanation:

3 0

3 years ago

What is the slope of a line perpendicular to the line whose equation is 2x+4y=-642x+4y=−64. Fully simplify your answer.

labwork [276]

9514 1404 393

Answer:

Step-by-step explanation:

Solving the given equation for y, you have ...

2x +4y = -64

4y = -2x -64

y = -1/2x -16

The coefficient of x is the slope of the given line: -1/2. The slope of the perpendicular line is the opposite reciprocal of this:

-1/(-1/2) = 2

The slope of the perpendicular line is 2.

5 0

3 years ago

The sign of the product of 2 integers with the same sign is positive. what is the sign of the product of 3 integers with the sam

klemol [59]

Product of 3 negatives equals a negative answer
Product of 3 positives equals a positive answer

6 0

3 years ago

Determine whether each table represents a linear quadratic or exponential function

Kryger [21]

Answer:

Table A: exponencial function

Table B: quadratic function

Table C: linear function

Step-by-step explanation:

Table A:

for x from 1 to 2, Y increased by 6

for x from 2 to 3, Y increased by 18

for x from 3 to 4, Y increased by 54

So we can see that the values of Y are being multiplied by 3 for each increment of x, so this table represents an exponencial function.

Table B:

for x from 1 to 2, Y increased by 6

for x from 2 to 3, Y increased by 10

for x from 3 to 4, Y increased by 14

The increment of Y is higher than a linear increment and smaller than an exponencial increment, so this is the quadratic function.

Table C:

for x from 3 to 6, Y increased by -2

for x from 6 to 9, Y increased by -2

for x from 9 to 12, Y increased by -2

The increment of Y is constant for the same increment of X, so this is a linear function.

7 0

3 years ago