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erma4kov [3.2K]
2 years ago
8

Suppose that for events E and F, P(E) = m, P(F) = n, and the probability that both E and F occur is mn. Then events E and F must

be
A) certain.
B) dependent.
C) disjoint.
D) independent.
Mathematics
2 answers:
aksik [14]2 years ago
8 0

Answer:

D) Independent

Step-by-step explanation:

independent. If the events are independent, then the multiplication rule applies.

Lunna [17]2 years ago
5 0

Answer:

D. Independent

Step-by-step explanation:

independent. If the events are independent, then the multiplication rule applies.

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Yuliya22 [10]

Answer:

The amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.

Step-by-step explanation:

Consider the provided information.

A chemical flows into a storage tank at a rate of (180+3t) liters per minute,

Let c(t) is the amount of chemical in the take at <em>t </em>time.

Now find the rate of change of chemical flow during the first 20 minutes.

\int\limits^{20}_{0} {c'(t)} \, dt =\int\limits^{20}_0 {(180+3t)} \, dt

\int\limits^{20}_{0} {c'(t)} \, dt =\left[180t+\dfrac{3}{2}t^2\right]^{20}_0

\int\limits^{20}_{0} {c'(t)} \, dt =3600+600

\int\limits^{20}_{0} {c'(t)} \, dt =4200

So, the amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.

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3 years ago
Between which two integers does √700 lie?
erastovalidia [21]
The square root of 700 is about 26.45, so it lies between 26 and 27
4 0
2 years ago
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Let A {a, b, c, d}. Find the power set of A, PA
Nina [5.8K]

A=\{a,b,c,d\}\\|A|=4\\\mathcal{P}(A)=2^4=16

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3 years ago
Which expression is equivalent to 1/8x−1/2 ? 1/8(x−1/2) 1/8(x−4) 1/8(x−1/4) −1/8(x−4)
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And electronics store chain sells headphones The company is about to introduce a new headphones model that is expected to sell v
klasskru [66]

Answer:

P(x) = -0.25x^2 + 42x - 90

Step-by-step explanation:

Given

C(x) = -17x + 90

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Required

Determine the profit function.

Profit function is calculated as thus:

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So, we have:

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P(x) = -0.25x^2 + 25x + 17x - 90

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