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3 years ago

What is the least common multiple and greatest common factor of 24 and 21

Mathematics

1 answer:

Iteru [2.4K]3 years ago

7 0

LCM: <span>2 x 2 x 2 x 3 x 7 = 168</span>

GCF: 3

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The taxiways and runways of a major airport are carefully monitored to expedite takeoffs and landings and to prevent collisions.

tatyana61 [14]

Answer:

18.04% probability that exactly 3 serious deviations and incursions will occur at LAX in a randomly selected year

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.

Suppose the mean number of deviations and incursions per year at the Los Angeles International Airport (LAX) is 2.

This means that $\mu = 2$

Find the probability that exactly 3 serious deviations and incursions will occur at LAX in a randomly selected year

This is P(X = 3).

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

$P(X = 3) = \frac{e^{-2}*2^{3}}{(3)!} = 0.1804$

18.04% probability that exactly 3 serious deviations and incursions will occur at LAX in a randomly selected year

4 0

3 years ago

Find the area of this figure (sides meet at right angles)

Marrrta [24]

Answer:

60 cm²

Step-by-step explanation:

Just divide the figure in parts and then find their areas separately. At last, find the area of the whole figure by adding the areas of the parts

6 0

3 years ago

What is a slope intercept equation of the line that passes through the points (-6,-9) and (-11,-29)?

kiruha [24]

Y = 4x + 15 is slope intercept form

8 0

3 years ago

dominic has a block of clay that is 24.5 inches long, 12.5 inches wide, and 8 inches high. dominic will use the clay to make vas

exis [7]

The total volume of clay Dominic has is the volume of the block; length⋅width⋅height. That's 24.5 ⋅ 12.5 ⋅ 8 = 2450 inches cubed.

We'll divide the total volume of clay Dominic has by the required clay per vase to find how many vases he can make: 2450 ÷ 50 = 49 vases.

Dominic can make a maximum of 49 vases.

6 0

3 years ago

Set up the integral that uses the method of disks/washers to find the volume V of the solid obtained by rotating the region boun

Blababa [14]

Answer:

$a)\: \frac{3}{2} \pi$

$b) \:\frac{47}{5} \pi$

Step-by-step explanation:

$y=3\sqrt x,\:\:y=3,\:\:x=0$

a) about the line y = 3

$3\sqrt x=3$ ⇒ $x = 1$ is the intersection point

So,

$V=\int\limits^1_0\pi(3-3\sqrt x)^2\:dx=\pi\int\limits^1_0(9-18\sqrt x+9x)\:dx=\\\\=\pi(9x-12x^{3/2}+9/2x^2)|^1_0=\pi(9-12+9/2)=\frac{3}{2} \pi$

b) about the line x = 5

$y=3\sqrt x$ ⇒ $x=y^2/9$

So,

$V = \int\limits^3_0\pi([5-0]^2-[5-y^2/9]^2)\:dy=\pi\int\limits^3_0(25-25+10y^2/9-y^4/81)\:dy=\\\\=\pi(10y^3/27-y^5/405)|^3_0=\pi(10-3/5)=\frac{47}{5} \pi$

8 0

4 years ago