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3 years ago

HELP! WHOEVER ANSWERS FIRST I'LL NAME BRAINLIAST!!!Part 1 Evaluate F(0)

Mathematics

1 answer:

Helga [31]3 years ago

3 0

The function that will be used when x = 0 is f(x) = x^2 as x = 0 fits the inequality condition of x ≤ 1.
The value of the function when x = 0 is f(0) = 0^2 = 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

How long does it take to drive from Minneapolis to Chicago through Green Bay?

DedPeter [7]

About 6 hours i think

7 0

3 years ago

If x + 3/4 = 1 , then which point on the number line could be x?

Levart [38]

Exact form: 1/4 Decimal form: 0.25

6 0

3 years ago

Please help!!!!!!!!!!!!

frutty [35]

Answer:

Step-by-step explanation:

There is a way to turn this into a simple equation, but I will not go through that.

So the conditions are saying the first term is 40 and for every term after that you multiply the last by .5. So to get the fifth you would multiply the fourth by .5.

We want the third, so we need to multiply the second by .5. To get the second we multiply the first by .5. since the first is 40, 40*.5=20. Then just repeat.

7 0

3 years ago

if 40 sweets are to be distributed between Sita and geeta in the ratio of 7:3 , how much would each get ?

Thepotemich [5.8K]

Answer:

sita get 20 sweets.

Step-by-step explanation:

Total sweets = 35

let sita get = 4x

let geeta get = 3x

4x+3x=35

7x=35

x=35/7

x=5

sita get = 4x = 4(5)= 20 sweets

geeta get = 3x = 3(5)= 15 sweet

<h2>Please mark me as brainliest</h2>

8 0

3 years ago