Graph the circle (x-8)^2 + (y+5)^2 = 4
1 answer:
Answer:
The answer to your question is See the attachment
Step-by-step explanation:
Equation
(x - 8)² + (y + 5)² = 4
Process
1.- Write the standard equation of the circle
(x - h)² + (y - k)² = r²
2.- Find the center
The center are the letters h and k
h = 8 k = -5
3.- Find the radius
r = 2
4.- Graph the circle ( i will use geogebra)
See below
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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 =
Probability of getting a other card =
So,
Expected value, E[x] = ∑ x p(x)
= (16)() + (3)(
)
=
=
= 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