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2 years ago

Find the GCFl: 16x 3 y 2 , 28x 2 y

Mathematics

2 answers:

andrey2020 [161]2 years ago

8 0

Answer:

$4 {x}^{2} y$

Step-by-step explanation:

the GCF of the numbers is 16, for the variables choose the lower power.

Jobisdone [24]2 years ago

8 0

Answer is 422y

Have a good day

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Traffic flow is traditionally modeled as a Poisson distribution.A traffic engineer monitors the traffic flowing through an inter

babymother [125]

Answer:

There is a 6.07% probability that during next 2 min exactly 5 cars passing an intersection are from state.

Step-by-step explanation:

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.

In this problem, we have that:

A traffic engineer monitors the traffic flowing through an intersection with an average of 6 cars per minute. So in 2 minutes, 12 cars are expected to flow through the intersection.

If 75% of vehiclesare from state, what is the probability that during next 2 min exactly 5 cars passing an intersection are from state?

We want to know how many of these cars are from state. In 2 minutes, 0.75*12 = 9 cars from the state are expected to pass the intersection, so $\mu = 9$ .

We want to find P(X = 2).

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

$P(X = 5) = \frac{e^{-9}*9^{5}}{(5)!} = 0.0607$

There is a 6.07% probability that during next 2 min exactly 5 cars passing an intersection are from state.

7 0

3 years ago

A circle with its dimensions, in meters (m), is shown. What is the area, 0/1 in the meters, of the circle? Use 3.14 for pie. Rou

Vikentia [17]

Answer:21

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The box-and-whisker plot below shows the numbers of text messages received in one day by students in the seventh and eighth grad

Leya [2.2K]

<h3><u>Answer with explanation:</u></h3>

From the box and whisker plot of seventh grade we have:

The minimum value =6

First quartile or lower quartile i.e. $Q_1$ = 14

Median or second quartile i.e. $Q_2$ = 18

Third quartile or upper quartile i.e. $Q_3$ =22

and maximum value = 26

From the box and whisker plot of eighth grade we have:

The minimum value =22

First quartile or lower quartile i.e. $Q_1$ = 26

Median or second quartile i.e. $Q_2$ = 30

Third quartile or upper quartile i.e. $Q_3$ = 34

and maximum value = 38

The overlap of the two sets of data is as follows.

The upper quartile or third quartile of seventh grade is same as the minimum value of the data of eighth grade.
And the maximum value of seventh grade is same as the lower quartile of eighth grade.

IQR is calculated as the difference of the Upper quartile and the lower quartile

i.e. $Q_3-Q_1$

so, IQR of seventh grade is:

22-14=8

IQR of seventh grade=8

IQR of eighth grade is:

34-26=8

Hence, IQR of eighth grade=8

The difference of the median of the two data sets is:

30-18=12

Hence, the difference of median is: 12

As the IQR of both the sets is same i.e. 8.

Hence, the number that must be multiplied by IQR so that it is equal to the difference between the medians of the two sets is:

$8\times n=12\\\\n=\dfrac{12}{8}\\\\n=\dfrac{3}{2}\\\\n=1.5$

Hence, the number is : 1.5

6 0

3 years ago

Daniel is planning a 6-night road trip. It will cost $310 for transportation, $275 for food, and $70 per night for a hotel room.

Anna11 [10]

Answer:

Daniel must tutor 160 hours

Explanation:

310+275+70= 655

655×6= 3930 (he needs this amount of $)

(Daniel gains $20 per hour)

20×160= 3200

3200+745= 3945

3945 > 3930

Daniel has enough for the trip.

Where did I get 160?

Well, I was just trying out numbers and multiplying it by 20

The numbers I tried: 100, 150, 156, 159 & 160 but only 160 fit with the answer.

If it was just one night road trip he would've just needed $655, but since it's a 6-night road trip I multiplied it by 6.

Hope this helped!

3 0

3 years ago

Read 2 more answers

Jamie has 7/10 of a pound of chicken to cook for dinner if she's going to put the chicken in between three people how much chick

AURORKA [14]

Answer:

Each person will get $\frac{7}{30}$ or approximately 0.23 pounds of chicken.

Step-by-step explanation:

This is a word problem involving fractions. Using key words and phrases from the problem, we can decide which operation we need to use to solve. Since Jamie is splitting the chicken equally between three people, she would need to divide the amount of chicken she has by 3:

$\frac{7}{10}$ ÷ $\frac{3}{1}$

Since we can't divide fractions, we need to use the 'keep-change-flip' rule to keep the first fraction, change the operation to multiplication and flip the second fraction:

$\frac{7}{10}*\frac{1}{3}=\frac{7}{30}$

We can convert the fraction into a decimal by dividing the numerator by the denominator: 7÷30≈0.23 pounds per person.

5 0

3 years ago