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Alexxx [7]
1 year ago
15

Train A and train B stops at Swindon at 10:30 . Train A stops every twelve minutes and train B stops every 14 Mins , when do the

y both stop at Swindon again ?
Mathematics
1 answer:
Nata [24]1 year ago
4 0

Answer: at 11:54

Step-by-step explanation:

Let's define the 10:30 as our t = 0 min.

We know that Train A stops every 12 mins, and Train B stops every 14 mins, they will stop at the same time in the least common multiple of 12 and 14.

To find the least common multiple of two numbers, we must do:

LCM(a,b) = a*b/GCD(a,b)

Where GCD(a, b) is the greatest common divisor of a and b.

In this case the only common divisior of 12 and 14 is 2.

So we have:

LCM(12, 14) = 12*14/2 = 84.

Then the both trains will stop 84 minutes after 10:30

one hour has 60 mins, so we can write 84 minutes as:

1 hour and 24 minutes = 1:24

Then they will stop at the same time at 10:30 + 1:24 = 11:54

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Answer:

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Step-by-step explanation:

First of all, we need to find PMF

Let X = k represent the case in which there is no birthday match within (k-1) people

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P(X=k) =P (X≤k) − P(X≤k−1)=(1−(365k)k!/365^k)−(1−(365k−1)(k−1)!/365^(k−1))=

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6 0
2 years ago
Which describes how to graph h (x) = negative RootIndex StartRoot x + 8 EndRoot by transforming the parent function?
SashulF [63]

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Therefore to graph the given function, reflect the parent function over the x-axis, and translate it 8 units to the left.

5 0
1 year ago
A recipe calls for 5 ounces of vinegar and 10 ounces of oil. Daren is making dressing with 9 ounces of vinegar using the same ra
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Answer:

Step-by-step explanation:

Set this up as ratio of vinegar to oil in fraction form:

\frac{v}{o}:\frac{5}{10}

That's what we're given.  If we are looking to find how much oil he needs if he's using 9 ounces of vinegar, then 9 goes on top with the vinegar stuff and x goes on bottom as the unknown amount of oil:

\frac{v}{o}:\frac{5}{10}=\frac{9}{x}

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Which you probably could do without the proportions.  If he is using 5 ounces of vinegar and double that amount of oil, then it just makes sense that if he uses 9 ounces of vinegar he will double that amount in oil to use 18 ounces.

6 0
1 year ago
Which table represents a linear function?
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4 0
1 year ago
The graph of f(x) = x6 – 2x4 – 5x2 + 6 is shown below.
DochEvi [55]

Answer:

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Let us use remainder theorem that when

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