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olya-2409 [2.1K]

3 years ago

9

Xander rolls two 6-sided number cubes. What is the theoretical probability of rolling an even number on the first cube and a num

ber divisible by 3 on the
second cube?

1 answer:

NeX [460]3 years ago

7 0

Answer:

1/6

Step-by-step explanation:

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75 POINTS Need an immediate answer please brainliest will be given! A train left a station travelling to a city at 30 mph. The t

yaroslaw [1]

The value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

<h3>What is the rate of speed?</h3>

The rate of speed is the rate at which the total distance is travelled in the time taken. Rate of speed can be given as,

r=d/t

Here, (d) is the distance travelled by the object and (t) is time taken but the object to cover that distance.

The train traveled 1/3 of the distance at 30 mph and the remaining distance at 40 mph. Let <em>t</em> is the time the train has taken to travel and x is the distance it travelled. Thus,

$t=\dfrac{\dfrac{1}{3}x}{30}+\dfrac{\dfrac{2}{3}x}{40}\\t=\dfrac{x}{90}+\dfrac{x}{60}\\t=\dfrac{2x+3x}{180}\\t=\dfrac{5x}{180}\\t=\dfrac{x}{36}$

After two hour a car left the same station traveled the first 3 hours at 35 mph and the remaining distance at 51 mph. Let <em>t</em> is the time the car has taken to travel and x is the distance it travelled. Thus,

$t+2=3+\dfrac{(x-3\times35)}{51}$

As t is same, thus put the value of t in this equation,

$\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=1+\dfrac{(x-105)}{51}\\\dfrac{x}{36}=\dfrac{(51+x-105)}{51}\\51x=36x-54\times36\\51x-36x=1944\\x=\dfrac{1944}{15}\\x=129.6$

Thus, the value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

Learn more about the rate of speed here:

brainly.com/question/359790

#SPJ1

6 0

2 years ago

Jason is considering two different jobs that he has been offered and he likes the atmosphere and

aniked [119]

The amount of money that Jason will receive in one year after all deductions have been taken for each company is $30,780.5 and $32562.

<h3>What is the final amount?</h3>

With the first job, he would be an apartment property manager for AMLI Company.

This job is offering Jason an hourly rate of $19. 00 an hour plus a weekly bonus of $40 for each new tenant he sets a one-year lease-up with.

The company expects Jason to work all 52 weeks of the year and 40 hours per week.

He was told he could expect to set up an average of 5 lease agreements for each week that he works.

The amount after one year will be given by an equation

Let y be the amount, x be the number of hours in a week and z be the number of the week.

y = 19x + 40z

The total number of hours in a year will be

x = 2080

Then

y = 19 × 2080 + 40 × 52

y = $ 41,600

The amount after the deduction of Social Security (6. 2%), Medicare (1. 2%), State Income Tax (3%), and Federal Income Tax (14%) will be

→ 41,600 × 0.938 × 0.988 × 0.97 × 0.86

→ $ 32,160.5

The amount after the insurance will be

Amount = 32160.5 - 115 × 12

Amount = $ 30780.5

With the second job, he would work as a water treatment facility manager in Gwinnett County. He would be paid an annual salary of $46,000 a year, there are no bonuses and he gets a week off.

The amount after the deduction of Social Security (6. 2%), Medicare (1. 2%), State Income Tax (3%), and Federal Income Tax (14%) will be

→ 46,000 × 0.938 × 0.988 × 0.97 × 0.86

→ $ 35,562

The amount after the insurance will be

Let the number of the worker be 10. Then

Amount = 35,562 - 10 × 12 × 25

Amount = 35562 - 3000

Amount = $32562

More about the final amount link is given below.

brainly.com/question/1980454

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5 0

2 years ago

I REALLY NEED HELP PLEASE HELP ME :(

o-na [289]

Answer:

I may be wrong but I think 8 is your answer.

Step-by-step explanation:

(-1)^(3/7) x 128^(3/7)

-1 x 128^3/7

128^(3/7) = 8

= 8

6 0

3 years ago

Select the points on circle B . <br><br><br>F<br><br><br>M <br><br><br>B <br><br><br>J

trasher [3.6K]

Answer:

F, M, and J.

Step-by-step explanation:

7 0

3 years ago

The coffee shop owner explains that she will work 12 hours more than you do if you get the job. She will work 50 hours edch week

MrMuchimi

Answer:

The owner says that she will work 12 hours more than you if you get the job.

We know that she works 50 hours each week.

then, knowing that she works 50 hours per week and that she works 12 hours more than you, you have that, if H is the number of hours that you work per week, you have:

H + 12 = 50

Here says that the number of hours that you work, plus 12 hours, is equal to the number of hours that the owner works.

H = 50 - 12 = 38

This means that you would work 38 hours per week.

3 0

3 years ago