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4 years ago

EXPERTS/ACE/GENIUSES

Mathematics

1 answer:

Anastasy [175]4 years ago

7 0

C is the answer hope this helps please give me brainliest

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Evaluating functions

spayn [35]

(-1/4)x + 2 = 8

Multiply all terms by 4.

(-1)x + 8 = 32

Simplify.

-x + 8 = 32

Subtract 8 from both sides.

-x = 24

Multiply both sides by -1.

x = -24.

<h3>The value of x is equal to -24.</h3>

-1/4(-24) + 2 = 8

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

Given a triangle with 3 angles that sum to 180o, can the lengths of the sides be determined? Explain.

amm1812

No. For example, the angles of every equilateral triangle ... whether its sides
are 1 nanometer, 1 inch, 1 mile, or 1 light-year long ... are always 60 degrees
each. The angles alone may reveal the <u>ratios</u> of the sides, but they tell nothing
about the actual length of any of the sides.

5 0

3 years ago

Help with this question please

Veronika [31]

Answer:

I don't normally really really really really really really really really

3 0

3 years ago

Is 3.65 greater than, less than, or equal to 3 3/4?

lawyer [7]

3.65 is less than $3\frac{3}{4}$