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2 years ago

Moussa's family took a road trip to the Grand Canyon. Moussa fell asleep after they

Mathematics

1 answer:

Alisiya [41]2 years ago

4 0

Answer:

38%

Step-by-step explanation:

So first you need to find what 434/700 is because that is when she fell asleep. Divide each side by 2 to get 217/350. Use division to find the decimal. Once you are done with that, you get 0.62. You then subtract 0.62 from 1 because that is the amount of when she fell asleep. 1-0.62=0.38. 0.38 is also 38% so Moussa fell asleep for 38% of the trip.

Hopefully this helps you

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The article "Expectation Analysis of the Probability of Failure for Water Supply Pipes"† proposed using the Poisson distribution

oksian1 [2.3K]

Answer:

a. P(X ≤ 5) = 0.999

b. P(X > λ+λ) = P(X > 2) = 0.080

Step-by-step explanation:

We model this randome variable with a Poisson distribution, with parameter λ=1.

We have to calculate, using this distribution, P(X ≤ 5).

The probability of k pipeline failures can be calculated with the following equation:

$P(k)=\lambda^{k} \cdot e^{-\lambda}/k!=1^{k} \cdot e^{-1}/k!=e^{-1}/k!$

Then, we can calculate P(X ≤ 5) as:

$P(X\leq5)=P(0)+P(1)+P(2)+P(4)+P(5)\\\\\\P(0)=1^{0} \cdot e^{-1}/0!=1*0.3679/1=0.368\\\\P(1)=1^{1} \cdot e^{-1}/1!=1*0.3679/1=0.368\\\\P(2)=1^{2} \cdot e^{-1}/2!=1*0.3679/2=0.184\\\\P(3)=1^{3} \cdot e^{-1}/3!=1*0.3679/6=0.061\\\\P(4)=1^{4} \cdot e^{-1}/4!=1*0.3679/24=0.015\\\\P(5)=1^{5} \cdot e^{-1}/5!=1*0.3679/120=0.003\\\\\\P(X\leq5)=0.368+0.368+0.184+0.061+0.015+0.003=0.999$

The standard deviation of the Poisson deistribution is equal to its parameter λ=1, so the probability that X exceeds its mean value by more than one standard deviation (X>1+1=2) can be calculated as:

$P(X>2)=1-(P(0)+P(1)+P(2))\\\\\\P(0)=1^{0} \cdot e^{-1}/0!=1*0.3679/1=0.368\\\\P(1)=1^{1} \cdot e^{-1}/1!=1*0.3679/1=0.368\\\\P(2)=1^{2} \cdot e^{-1}/2!=1*0.3679/2=0.184\\\\\\P(X>2)=1-(0.368+0.368+0.184)=1-0.920=0.080$

4 0

2 years ago

Suzy earns $175 more per week than her roommate Katie and 125 less per week than her roommate Janine. Together the three friends

Serhud [2]

Suzy makes 675
Katie makes 500
Janine makes 800

5 0

2 years ago

Which regression equation best fits these data?

julsineya [31]

Answer:

the answer is b

Step-by-step explanation:

trust me im looking at the answer rn

3 0

2 years ago

Is the sum of the areas of two smaller squares equal to the area of a large square if the sides lengths of the squares are 8 fee

77julia77 [94]

No.
The sum of the areas of the two smaller squares is 5^2 + 3^2 = 34
The area of the larger square is 8^2=64
34 does not = 64

5 0

2 years ago

Jan accidentally ran 7 minutes longer than she was supposed to. Write an expression for the total amount of time Jan ran if she

vovangra [49]

Answer:

m+7

Step-by-step explanation:

If she ran 7 minutes longer and m represents the amount of time she ran, then it would just be addition.

Let's say m=60 minutes. She would've ran for 67 minutes, which is also m+7.

6 0

2 years ago