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d1i1m1o1n [39]
3 years ago
12

A gallon of water weighs 8 1/3 pounds. how much does 7 gallons weigh

Mathematics
2 answers:
Darya [45]3 years ago
5 0
7 gallons of water =58.31 Pounds
snow_lady [41]3 years ago
4 0
Here we go! In order to find the answer, you simply multiply the weight of one gallon times the amount of desired gallons. So:

[8 1/3 x 7] ≈ 58.3

7 Gallons weigh approximately 58.3 pounds.
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Thetime(inhours)requiredtorepairamachineis an exponentially distributed random variable with parameter λ = 1 . What is 2 (a) the
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Answer:

a) 0.1353

b) 0.3679

Step-by-step explanation:

Let's start by defining the random variable T.

T : ''The time (in hours) required to repair a machine''

T ~ exp (λ)

T ~ exp (1)

The probability density function for the exponential distribution is

(In the equation I replaced λ = L)

f(x)=Le^{-Lx}

With L > 0 and x ≥ 0

In this exercise λ = 1 ⇒

f(x)=e^{-x}

For a)

P(T>2)

P(T>2)=1-P(T\leq 2)

P(T>2)=1-\int\limits^2_0 {e^{-x} } \, dx

P(T>2)=1-(-e^{-2}+1)

P(T>2)=e^{-2}=0.1353

For b)

P(T\geq 10/T>9)

The event (T ≥ 10 / T > 9) is equivalent to the event T ≥ 1 so they have the same probability of occur

P(T\geq 10/T>9)=P(T\geq 1)

P(T\geq 1)=1-P(T

P(T\geq 1)=1-(-e^{-1}+1)=e^{-1}=0.3679

4 0
3 years ago
Jose wants to find how many gallons of water he needs to fill his cube shaped aquarium. one side of his aquarium is 4 feet long.
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Answer:

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Step-by-step explanation:

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