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satela [25.4K]
3 years ago
11

a train arrives at the station with 150 passenger's on board . 2/5 of the passengers get off the train in Seattle, and then 35 p

assengers board the train. how many passengers are on the train when it leaves the station
Mathematics
1 answer:
hichkok12 [17]3 years ago
5 0
First, We Have Find What Two Fifths Of 150. So, Divide 150 By Five To Find 1/5 Of 150. 
150 ÷ 5 = 30.
 
Now, To Find 2/5 Of 150, Multiply 30 By Two. So:
30 * 2 = 60
So, 60 = 2/5 of 150.

So, subtract 60 from 150. 
150 - 60 = 90.

So, now we need to add 35, because 35 people get back on. 

90 + 35 = 125

There are 125 passengers when the train leaves.
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Phantasy [73]
We can do the elimination method to find the solution for this problem. The elimination method involves adding the two equations together to get rid of a like term.

x + 2y = 7
+ x - 2y = -1
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2x = 6

Now that we eliminated 2y because they cancel out, we are left with 2x = 6. Divide both sides by 2 in order to get x.

The answer is: x = 3.

Now that we know the numerical value of x, all we have to do is plug x into either system of equation in order to find the numerical value of y.

x + 2y = 7

3 + 2y = 7

2y = 4

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The solution to the problem is (3, 2).

4 0
3 years ago
The current size of an image on Sandy's computer is shown below:
lukranit [14]

Answer:

D-Length=2 inches Width=3inches

Step-by-step explanation:

Self explanatory, this is the only reasonable answer. The other answers size the image incorrectly to fit the question.

Good luck! Hope this helps!

7 0
3 years ago
Estimating π. Using random numbers can accomplish many tasks. For example, it is possible to estimate π using Monte Carlo method
velikii [3]

Answer:

Estimations of π/4:

100 points: 0.75

1,000 points: 0.768

10,000 points: 0.7819

Step-by-step explanation:

To get an estimate of π/4 you can place random points in the square [0, 1] × [0, 1] and estimate it as the ratio of the points that landed inside the unit circle to the total number of points (because the ratio of the area of the circle to the area of the square is π/4).

We do it for 100 xy points and we get:

Point inside the circle area = 75

Estimation of π/4 = 0.75

\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{75}{100}=0.75

We do it for 1,000 xy points and we get:

Point inside the circle area = 768

Estimation of π/4 = 0.768

\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{768}{1000}=0.768

If we do it fo 10,000 xy points, we get

Point inside the circle area = 768

Estimation of π/4 = 0.768

\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{7819}{10000}=0.7819

The value of π/4 (4 decimals) is 0.7854.

The simulation gets more precise with the increase in the number of points.

The spreadsheet and the graphs are attached.

3 0
4 years ago
If you roll a die 100 times, what is the approximate probability that you will roll between 9 and 16 ones, inclusive? (Round you
Ann [662]

Answer: 0.47

Step-by-step explanation:

Given that

n = 100, probability of rolling 1 = 1/6

binomial approximation

np = 100 ( 1/6) = 16.667

standard deviation = √ 100 × 1/6 ×5/6 = 3.7627

P ( 9 ≤ X ≤ 16 )

= P ( 8.5 < X < 16.5 )

so,

= P ((8.5 - 16.6667) / 3.7627 < Z < (16.5 - 16.6667) / 3.7627

= P ( -2.17 < Z < -0.04 )

= 0.484 - 0.015

= 0.47

Therefore the approximate probability that you will roll between 9 and 16 ones is 0.47

4 0
4 years ago
Vanderbilt University has this data set: 305, 315, 285, 285, 290, 280, 300, 310, 310, 315, 305
Setler [38]

Answer:

300

Step-by-step explanation:

305

305 + 305 + 315 + 315 + 285 + 285 + 310 + 310 + 290 + 280 + 300 = 3300 \div 11

7 0
3 years ago
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