Subtract 8 1\5 - 4 2\5 . Simplify the answer and write as a mixed number.

Mathematics

2 answers:

chubhunter [2.5K]4 years ago

4 0

For this case we must find the value of the following expression:

$8 \frac {1} {5} -4 \frac {2} {5}$

We have to:

$8 \frac {1} {5} = \frac {5 * 8 + 1} {5} = \frac {40 + 1} {5} = \frac {41} {5}\\4 \frac {2} {5} = \frac {5 * 4 + 2} {5} = \frac {20 + 2} {5} = \frac {22} {5}$

Subtracting we have:

$\frac {41} {5} - \frac {22} {5} = \frac {19} {5}$

In mixed number it is equivalent to:

$3 \frac {4} {5}$

ANswer:

$3 \frac {4} {5}$

kari74 [83]4 years ago

3 0

8 1\5 - 4 2\5

Make the fractions into improper fractions

8 1/5= 41/5 . Mutiply the whole number with the denominator. 8*5= 40. Add 40 with the numerator. 40+1=41

4 2/5=22/5

41/5-22/5= 19/5=3 4/5

Answer: 3 4/5

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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 $\mu = 6$ .