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3 years ago

which letter would be the most meaningful variable for the problem situation the weight of a box increase by 5

Mathematics

1 answer:

Natalija [7]3 years ago

4 0

Answer:i

Step-by-step explanation:

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Ierofanga [76]

Answer:

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Step-by-step explanation:

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3 years ago

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The snow fell 3/4 of an inch every hour. After 12 hours pass, write an equation to represent how many inches of snow has fallen.

lapo4ka [179]

To find the total snow fall you would multiply the amount of snow per hour by the number of hours it snows:

Total = 3/4 inch per hour x hours: Total = 3/4h

h = 12 hours:

Total = 3/4(12) = 9 inches total.

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4 years ago

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A car is traveling at a rate of 48 miles per hour. If the car continues to travel at this same rate, how many hours will it take

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3 years ago

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A farmer is monitoring the water content of the soil during a dry summer. The water content of the soil is decreasing at a rate

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3 years ago

The number of hurricanes that will hit a certain house in the next ten years is Poisson distributed with mean 4. Each hurricane

bulgar [2K]

Answer:

The variance of total loss is 8000000

Step-by-step explanation:

Let

$X \to$ Number of hurricane

Poisson $E(X) = 4$

$Y \to$ Loss in each hurricane

Exponential $E(Y) = 1000$

$T \to$ Total Loss

Required

The variance of the total loss

This is calculated as:

$Var(T) = Var(E(T|X)) + E(Var(T|X))$

Where:

$E(T|X) \to$ Expected total loss given X hurricanes

And it is calculated as:

$E(T|X) = E(Y) *N$ --- Expected Loss in each hurricane * number of loss

$Var(T|X) \to$ Variance of total loss given X hurricanes

And it is calculated as:

$Var(T|X) = Var(Y) * N$ ---- --- Variance of loss in each hurricane * number of loss

So, we have:

$Var(T) = Var(E(T|X)) + E(Var(T|X))$

$Var(T) = Var(E(Y) * N) + E(Var(Y) * N)$

For exponential distribution;

$Var(Y) = E(Y)^2$

So, we have:

$Var(T) = Var(E(Y) * X) + E(E(Y)^2 * X)$

Substitute values

$Var(T) = Var(1000 * X) + E(1000^2 * X)$

Simplify:

$Var(T) = Var(1000 * X) + 1000^2E(X)$

Using variance formula, we have:

$Var(T) = 1000^2Var(X) + 1000^2E(X)$

For poission distribution:

$Var(X) = E(X)$

So, we have:

$Var(X) = E(X) = 4$

The expression becomes:

$Var(T) = 1000^2*4 + 1000^2*4$

$Var(T) = 1000000*4 + 1000000*4$

$Var(T) = 4000000 + 4000000$

$Var(T) = 8000000$

3 0

3 years ago

which letter would be the most meaningful variable for the problem situation the weight of a box increase by 5​

which letter would be the most meaningful variable for the problem situation the weight of a box increase by 5