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3 years ago

What is first three common multiples of 4,9,and 12

Mathematics

2 answers:

lidiya [134]3 years ago

7 0

Answer:

Methods to Find LCM of 4, 9 and 12

Least Common Multiple of 4, 9 and 12 is the smallest number, which is exactly divisible by all of them without any remainder.

Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36.

Multiples of 9 = 9, 18, 27, 36.

Multiples of 12 = 12, 24, 36.

wel3 years ago

4 0

Answer:

36 is the answer of this question

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The perimeter of a triangle is 510 feet and the sides are in the ratio of 11:16:24. Find the area of the triangle

Nutka1998 [239]

If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.

So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.

This means that the perimeter is

$11x+16x+24x = 51x$ feet long. But we know that this is 510 feet, so we have

$51x = 510 \implies x = \cfrac{510}{51} = 10$ .

So, the three sides are 110, 160 and 240 feet long.

To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if $s$ is half the perimeter of the triangle whose sides are $a,b,c$ , the area $A$ is given by

$A = \sqrt{s(s-a)(s-b)(s-c)}$

In our case, $s = 255, a = 110, b = 160, c = 240$ so the formula becomes

$A = \sqrt{255(255-110)(255-160)(255-240)} = \sqrt{255(145)(95)(15)} = \sqrt{52689375} \approx 7258.74$

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3 years ago

The scheduled arrival time for a daily flight from Boston to New York is 9:30 am. Historical data show that the arrival time fol

Galina-37 [17]

Answer:

Step-by-step explanation:

Let x be a random variable representing the flight arrival time from Boston to New York.

For a uniform probability distribution, the notation is

X U(a, b) where a is the lowest value of x and b is the lowest value of x

The probability density function, f(x) = 1/(b - a)

Mean, µ = (a + b)/2

Standard deviation, σ = √(b - a)²/12

From the information given, the time difference in minutes is 9:57 - 9:07 = 50 minutes. Therefore,

a = 0

b = 50

µ = (0 + 50)/2 = 25

σ = √(50 - 0)²/12 = 14.43

b) converting to minutes, it is 9:30 - 9:07 = 23 minutes

the probability that a flight arrives late(later than 9:30 am) is expressed as P(x > 23)

f(x) = 1/(50) = 0.02

P(x > 23) = (50 - 23)0.02 = 0.54

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3 years ago

After 6 hours, a driver had traveled 390 miles. how far had the driver traveled after 4 hours

lozanna [386]

Sorry I needed points for an important quiz

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3 years ago

If the probability that your DVD player breaks down before the extended warranty expires is 0.034, what is the probability that

schepotkina [342]

Answer:

0.966

Step-by-step explanation:

Given that:

Probability of DVD player breaking down before the warranty expires = 0.034

To find:

The probability that the player will not break down before the warranty expires = ?

Solution:

Here, The two events are:

1. The DVD player breaks down before the warranty gets expired.

2. The DVD player breaks down after the warranty gets expired

In other words, the 2nd event can be stated as:

The DVD does not break down before the warranty gets expired.

The two events here, have nothing in common i.e. they are mutually exclusive events.

So, Sum of their probabilities will be equal to 1.

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3 years ago

Express 35.4% as a decimal.

lakkis [162]

It is because the 35.4% divided the 100% total is B. 0.354

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3 years ago

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What is first three common multiples of 4,9,and 12​

What is first three common multiples of 4,9,and 12