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4 years ago

Please help (photo attached below) ALGEBRA 1

Mathematics

1 answer:

frutty [35]4 years ago

3 0

Answer:

x =2

2 in, 6 in, 1 in

Step-by-step explanation:

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kondor19780726 [428]

A could be 11.50x +15(y)=

5 0

3 years ago

he time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. Round the a

Eva8 [605]

Answer:

The answer is below

Step-by-step explanation:

The time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. Round the answers to 3 decimal places.

(a) What is the probability that more than three aircraft arrive within an hour?

(b) If 30 separate one-hour intervals are chosen, what Is the probability that no interval contains more than three arrivals?

(c) Determine the length of an interval of time (in hours) such that the probability that no arrivals occur during the interval is 0.1.

Solution:

a) A poisson distribution is given by the formula:

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

λ = 1 hour

Therefore:

P(X > 3) = 1 - P(X < 3) = 1 - [P(X = 0) + P(X = 1) + P(X = 2) + P(x = 3)]

$P(X=0)=\frac{e^{-1}*1^0}{0!}=0.3679$

$P(X=1)=\frac{e^{-1}*1^1}{1!}=0.3679$

$P(X=2)=\frac{e^{-1}*1^2}{2!}=0.1839$

$P(X=3)=\frac{e^{-1}*1^3}{3!}=0.0613$

P(X > 3) = 1 - [0.3679+0.3679 + 0.1839 + 0.0613] = 0.019

b) Assuming 30 1 hour intervals, hence:

$P(X \leq 3)^{30}=[1-P(X\geq 30)]^{30}=(1-0.019)^{30}=0.5624$

c) mean = 1 hour

mean = 1 / λ

1 = 1 / λ

λ = 1

The cumulative distribution function of a continuous variable is:

$F(x)=1-e^{-\lambda x}$

$0.1=1-F(x)\\\\0.1=1-(1-e^{- x})\\\\0.1=e^{- x}\\\\-x=ln(0.1)\\\\-x = -2.3\\\\x=2.3\ hours$

4 0

3 years ago

14 greater then -2n + 4 n=-5

cestrela7 [59]

Answer:

2n=5

(n=2.5)+14

Step-by-step explanation:

3 0

3 years ago

HELP PLEASE!!!!!!!!

Softa [21]

Answer:

I can't see the picture so can you pls write down the equation so i can solve it for you. Thank you bye!!!

Step-by-step explanation:

6 0

3 years ago

What is 10/45 in simplest form

Oliga [24]

2/9

Work:

5 can go into each of them

10 / 5 = 2

45 / 5 = 9

So 2/9 is your answer

5 0

4 years ago

Read 2 more answers