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2 years ago

Ricky takes 2 coins at random from 3 quarters, 5 dimes, and two nickels in his pocket.

Mathematics

2 answers:

antoniya [11.8K]2 years ago

5 0

What is the P(nickel;then a quarter) with replacement

Stels [109]2 years ago

3 0

$|\Omega|=10^2=100\\|A|=2\cdot3=6\\\\P(A)=\dfrac{6}{100}=6\%$

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An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let

Advocard [28]

Answer:

$P(t)=3,000,000-3,000,000e^{0.0138t}$

Step-by-step explanation:

Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have

$P'(t)=K(3,000,000-P(t))$

Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

We have and ordinary differential equation of first order that we can write

$P'(t)+KP(t)= 3,000,000K$

The <em>integrating factor </em>is

$e^{Kt}$

Multiplying both sides of the equation by the integrating factor

$e^{Kt}P'(t)+e^{Kt}KP(t)= e^{Kt}3,000,000*K$

Hence

$(e^{Kt}P(t))'=3,000,000Ke^{Kt}$

Integrating both sides

$e^{Kt}P(t)=3,000,000K \int e^{Kt}dt +C$

$e^{Kt}P(t)=3,000,000K(\frac{e^{Kt}}{K})+C$

$P(t)=3,000,000+Ce^{-Kt}$

But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

$e^{-50K}=\frac{1}{2}\Rightarrow K=-\frac{log(0.5)}{50}=0.0138$

And the equation that models the number of people (in millions) who become aware of the product by time t is

$P(t)=3,000,000-3,000,000e^{0.0138t}$

5 0

4 years ago

Rewrite as a simplified faction

elena-s [515]

Here is the final answer
3 2/9
=29/9. Hope it help!

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3 years ago

Simplify the algebraic expression 8 x + 16 y 2 + 4 ( x − y ) .

kolbaska11 [484]

Answer: Your answer would be 16y² + 12x - 4y

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Salvador just purchased his first home and wants a nice television. He plans to keep the television for several years and has no

adelina 88 [10]

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3 years ago

Round 13.2 to a whole number

omeli [17]

13 because decimal is 4 or below let it rest or 5 or more go up one more

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4 years ago

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