Answer:
1/104
Step-by-step explanation:
Probability that the first card is a club = 1/4. (There are 13 club cards in the deck, and 13/52 = 1/4).
Probability that the second card is a 3 = 1/13. (There are four 3 cards in the deck, and 4/52 = 1/13).
Probability that the third card is red = 1/2. (There are 26 red cards in the deck, and 26/52 = 1/2).
Probability that the first card is a club, the second card is a 3, and the third card is red = 1/4 * 1/13 * 1/2
= 1/104
An equation in standard form of the given ellipse is; x²/9 + y²/36 = 1
<h3>How to find the equation of an ellipse?</h3>
We know that the general standard form of equation of an Ellipse is;
x²/a² + y²/b² = 1
where;
a is the vertex and b is the co-vertex.
Thus, the equation here is;
x²/3² + y²/(-6)² = 1
⇒ x²/9 + y²/36 = 1
Read more about Ellipse Equation at; brainly.com/question/10259559
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Multiply the $75 by 1.125 which represents the total amount of interest AND the orgininal amount
75*1.125=$84.37
Answer:
(f∘g)(−4) = 12
Step-by-step explanation:
Given the functions
f(x)= 3x^2 + 4x - 3
g(x) = -2x-11
Required
(f∘g)(−4)
(f∘g)(x) = f(g(x))
f(g(x)) = f(-2x-11)
f(-2x-11) = 3(-2x-11)^2 + 4(-2x-11) - 3
f(g(x)) = 3(-2x-11)^2 + 4(-2x-11) - 3
f(g(-4)) = 3(-2(-4)-11)^2 + 4(-2(-4)-11) -3
f(g(-4)) = 3(8-11)^2 + 4(8-11) - 3
f(g(-4)) = 3(-3)^2 + 4(-3) - 3
f(g(-4)) = 3(9) - 12 - 3
f(g(-4)) = 27 - 15
f(g(-4)) = 12
Hence (f∘g)(−4) = 12