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Galina-37 [17]
3 years ago
6

WILL MAKE BRAINLIEST!!!

Mathematics
1 answer:
docker41 [41]3 years ago
8 0
1) y=x+2

2) y=1/4x

3) y=-3x+0.5

4) y=0.2x+0.8
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Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a
aev [14]

Answer:

Expected value of drawing a card in this game on the first turn = 6

Step-by-step explanation:

Given - Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a jack, a queen, or a king), the player is awarded 16 points. Any other card drawn earns the player 3 points.

To find -  What is the expected value of drawing a card in this game on the first turn?

Formula used -

Expected value, E[x] = ∑ x p(x)

where p(x) is the probability

Proof -

Total cards in a standard deck = 52

Total face cards = 12 (a jack, a queen, or a king)

Other cards = 40

Now,

Probability of getting a face card = \frac{12}{52}

Probability of getting a other card = \frac{40}{52}

So,

Expected value, E[x] = ∑ x p(x)

                                  = (16)(\frac{12}{52}) + (3)(\frac{40}{52})

                                  = \frac{192}{52} + \frac{120}{52}

                                  = \frac{312}{52}

                                  = 6

∴ we get

Expected value of drawing a card in this game on the first turn = 6

So,

The correct option is - B. 6 points

4 0
3 years ago
Simplify. Assume that no denominator is equal to zero.
nikklg [1K]

\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{(2a^7b)^2}{32b^6}\implies \cfrac{(2^2a^{7\cdot 2}b^2)}{32b^6}\implies \cfrac{4a^{14}b^2}{32b^6}\implies \cfrac{a^{14}}{8b^6b^{-2}}\implies \cfrac{a^{14}}{8b^{6-2}}\implies \cfrac{a^{14}}{8b^4}

8 0
3 years ago
Read 2 more answers
What was the names of Jupiter’s big pet dog?
Rama09 [41]

IDK sorry bout that bud

8 0
3 years ago
Which of the following equations is an example of inverse variation between variables x and y ?
Mademuasel [1]
The option C) y = 15/x

a) y = 15 x is an example of direct variation, with proportionality constant = 15

b) is an example of linear variation (it is the equation of a straight line that does not pass through the origin)

c) y = 15/x => y*x = 15 = constant which is the characteristic of an inverse relation

d) y = x/15 is an example of an inverse relation, with proportion constant = 1/15 
3 0
3 years ago
Read 2 more answers
What are a domain and range?
Nikolay [14]

Answer:

The domain and range of function is the set of all possible inputs and outputs of a function respectively.

The domain and range of a function y = f (x) is given as domain= {x ,x∈R }, range= {f (x), x∈Domain}.

The domain and range of any function can be found algebraically or graphically.

5 0
2 years ago
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