Yesterday, Grace drove 44 1/2 miles. She used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?

Mathematics

2 answers:

Lera25 [3.4K]3 years ago

7 0

Answer:

35.6 miles per gallon.

I'm not sure but good luck :)

Step-by-step explanation:

Viefleur [7K]3 years ago

3 0

Answer:

Just realized I gave you the wrong answer. Here's the right one below:

Step-by-step explanation:

(44 1/2)/(1 1/4)

(89/2)/(5/4)

(89/2)(4/5)

178/5

35 3/5 mpg

Sorry about that! :)

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If the short leg of a 30-60-90 triangle is 6, approximately how long is the hypotenuse?

Y_Kistochka [10]

Answer:

Step-by-step explanation:

In a triangle, shortest side has the shortest angle opposite to it.

As 6 is the shortest side angle opposite to it is 30.

Let the hypotenuse be h.

h*sin(30) = 6

h*(1/2) = 6

h = 12

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3 years ago

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 $\mu = 6$ .