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3 years ago

Are 3(h+4) and 3h + 12 equivalent? Explain using the table from Question 4.

Mathematics

1 answer:

Kruka [31]3 years ago

6 0

Yes because once you distribute the 3 in the first equation it turns it into 3h+12

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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 would I know what lines are intersecting, perpendicular, parallel and coinciding based off an equation given? Like in the pi

NikAS [45]

If lines are paralel, then they have the same slope
if the lines are pependicuilar, the slopes mutiply to -1

so

y=mx+b
m=slope

and
ax+by=c
-a/b is the slope

given
y=2/3x-2
slope is 2/3

x+y=4
slope is -1/1 or -1

2/3≠-1 and -1 times 2/3≠-1 so they are neither perpendicular or paralell

since they aren't paralell, we know they intersect somewhere

8 0

3 years ago

Same value as 40% of 84

nordsb [41]

Answer:

33.6

you are welcome :)

Step-by-step explanation:

4 0

3 years ago

What is -4/5 + 3/20 in simplest form

Helga [31]