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uysha [10]
3 years ago
7

If you draw a card with a value of three or less from a standard deck of cards, I will pay you $43. If not, you pay me $11. (Ace

s are considered the highest card in the deck.) Step 1 of 2 : Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.
Mathematics
1 answer:
valina [46]3 years ago
3 0

If W is a random variable representing your winnings from playing the game, then it has support

W=\begin{cases}43&\text{if you draw something with value at most 3}\\-11&\text{otherwise}\end{cases}

There are 52 cards in the deck. Only the 1s, 2s, and 3s fulfill the first condition, so there are 12 ways in which you can win $43. So W has PMF

P(W=w)=\begin{cases}\frac{12}{52}=\frac3{13}&\text{for }w=43\\1-\frac{12}{52}=\frac{10}{13}&\text{for }w=-11\\0&\text{otherwise}\end{cases}

You can expect to win

E[W]=\displaystyle\sum_ww\,P(W=w)=\frac{43\cdot3}{13}-\frac{11\cdot10}{13}=\boxed{\frac{19}{13}}

or about $1.46 per game.

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Answer:

D. The zeros are 3 and -10, because y = (x - 3)(x + 10).

Step-by-step explanation:

y=x^2+7x-30

0=x^2+7x-30

0=(x+10)(x-3)

Therefore, D is correct by the Zero Product Property

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3 years ago
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svetoff [14.1K]

Parameterize this surface (call it S) by

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Then the area of S is

\displaystyle\iint_S\mathrm dA=\iint_S\|\vec r_u\times\vec r_v\|\,\mathrm du\,\mathrm dv

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=\displaystyle2\pi\int_0^3u\sqrt{1+4u^2}\,\mathrm du=\boxed{\frac{37\sqrt{37}-1}6\pi}

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3 years ago
Please answer this correctly I only have a little bit of time
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Answer:

1.Commutative

2.Associative

3.Distributive

4.Double Negative

Step-by-step explanation:

Hope this helps! :)

8 0
3 years ago
Albert deposits $1,228 in an account that pays 2.83% simple interest for five years.
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Answer:

Im not sure how to be honest.

Step-by-step explanation:

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As long as there is no change in sign of the variables.

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