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Setler [38]
3 years ago
13

What number is divisible by 2,3 and 6

Mathematics
2 answers:
UkoKoshka [18]3 years ago
8 0
I believe it’s 12 but i could be wrong
lorasvet [3.4K]3 years ago
7 0

Answer:

2 is divisible by 2 and 1

3 is 1 and 3

6 is 1,2 and 3

Step-by-step explanation:

2×1=2

3×1=3

1×6=6

2×3=6

3×2=6

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Suppose small aircraft arrive at a certain airport according to a Poisson process with rate a 5 8 per hour, so that the number o
timurjin [86]

Answer:

(a) P (X = 6) = 0.12214, P (X ≥ 6) = 0.8088, P (X ≥ 10) = 0.2834.

(b) The expected value of the number of small aircraft that arrive during a 90-min period is 12 and standard deviation is 3.464.

(c) P (X ≥ 20) = 0.5298 and P (X ≤ 10) = 0.0108.

Step-by-step explanation:

Let the random variable <em>X</em> = number of aircraft arrive at a certain airport during 1-hour period.

The arrival rate is, <em>λ</em>t = 8 per hour.

(a)

For <em>t</em> = 1 the average number of aircraft arrival is:

\lambda t=8\times 1=8

The probability distribution of a Poisson distribution is:

P(X=x)=\frac{e^{-8}(8)^{x}}{x!}

Compute the value of P (X = 6) as follows:

P(X=6)=\frac{e^{-8}(8)^{6}}{6!}\\=\frac{0.00034\times262144}{720}\\ =0.12214

Thus, the probability that exactly 6 small aircraft arrive during a 1-hour period is 0.12214.

Compute the value of P (X ≥ 6) as follows:

P(X\geq 6)=1-P(X

Thus, the probability that at least 6 small aircraft arrive during a 1-hour period is 0.8088.

Compute the value of P (X ≥ 10) as follows:

P(X\geq 10)=1-P(X

Thus, the probability that at least 10 small aircraft arrive during a 1-hour period is 0.2834.

(b)

For <em>t</em> = 90 minutes = 1.5 hour, the value of <em>λ</em>, the average number of aircraft arrival is:

\lambda t=8\times 1.5=12

The expected value of the number of small aircraft that arrive during a 90-min period is 12.

The standard deviation is:

SD=\sqrt{\lambda t}=\sqrt{12}=3.464

The standard deviation of the number of small aircraft that arrive during a 90-min period is 3.464.

(c)

For <em>t</em> = 2.5 the value of <em>λ</em>, the average number of aircraft arrival is:

\lambda t=8\times 2.5=20

Compute the value of P (X ≥ 20) as follows:

P(X\geq 20)=1-P(X

Thus, the probability that at least 20 small aircraft arrive during a 2.5-hour period is 0.5298.

Compute the value of P (X ≤ 10) as follows:

P(X\leq 10)=\sum\limits^{10}_{x=0}(\frac{e^{-20}(20)^{x}}{x!})\\=0.01081\\\approx0.0108

Thus, the probability that at most 10 small aircraft arrive during a 2.5-hour period is 0.0108.

8 0
3 years ago
Opposite reciprocal slope lines or parallel or perpendicular
GarryVolchara [31]


-- If two lines on a graph are parallel, then their slopes are equal.

-- If two lines on a graph are perpendicular, then their slopes are
negative reciprocals.


6 0
3 years ago
What is the exponential expression 24^1/3
guapka [62]

Answer:

2.884499

Step-by-step explanation:

3 0
2 years ago
HELP ASAP. solve for x
svp [43]

Answer:

x = 80

Step-by-step explanation:

x + 30 = 110 (Opposite angles are equal)

x = 110 - 30

x = 80

4 0
2 years ago
Pls Answer ..........
GuDViN [60]

Answer: The correct answer would be C

Step-by-step explanation: as the term number increases, the number of stars icreases by two. using this information, term ten would have 21 which is less than 30

4 0
2 years ago
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