Please help! Correct answer only!In a raffle, one ticket will win a $900 prize, and the remaining tickets will win nothing. There are 500 in the raffle. If you have a ticket, what is the expected payoff?
Answers
Answer:
" Expected Payoff " ⇒ $ 1.80 ; Type in 1.80
Step-by-step explanation:
Take the probability of winning into consideration;
Solution ; " Expected Payoff " ⇒ $ 1.80
Related Questions
Inverse operations 15x+8=6
Which digit is in the tenths place of 1,860.5
If x-9=2y and x+3=5y, what is the value of x?
13) v2 - 110 + 18 = 014) 5x7 - 12x +7 = 0Solve by factoring
Answers
What is the question?
{(1,3),(2,6),(3,9),(4,12)}
Answers
Answer:
Domain: {1, 2, 3, 4}
Range: {3, 6, 9, 12}
Step-by-step explanation:
In a function the domain represents the values of 'x' and the range represents the values of 'y'. For any given set of points, they are in the form of (x, y). So the domain would be the 'x' value in each point and the range is the 'y' value for each point:
Domain: {1, 2, 3, 4}
Range: {3, 6, 9, 12}
Answers
(y=mx+b)
x - 3 is a factor of P(x) = x^3 – 7x² +15x-9
A. True
B. False
Answers
Explanation-
Let p(x) = x^3 – 7x^2 – 15x – 9
For checking that (x – 3) is a factor of p(x), we find : p(3)
p(3) = (3)^3 – 7(3)^2 + 15(3) – 9
= 27 – 63 + 45 – 9
= 72 – 72
= 0
Hence, (x – 3) is a factor of p(x).
By division of p(x) by x – 3, we get the quotient
= x^2 – 4x + 3
∴ x^3 – 7x^2 + 15x – 9
= (x – 3)(x^2 – 4x + 3)
= (x – 3)(x – 3)(x – 1)
= (x – 3)^2(x – 1)
please help
Answers
Final answer:
The quadratic expressions in vertex form are (a) (x-1)²+10 and (c) (x-5)². These expressions follow the form a*(x-h)² + k, which is the standard form for a quadratic equation in vertex form.
Explanation:
The question asks to select all the quadratic expressions in vertex form. The vertex form of a quadratic equation is given by a*(x-h)² + k. Here, (h, k) is the vertex of the parabola. Let's examine the given options:
- (a) (x-1)²+10: The expression can be rewritten as 1*(x-1)² + 10, which is in vertex form.
- (b) (x-5)(x-4): This is not in vertex form, it is a factored form of quadratic equation.
- (c) (x-5)²: This is in vertex form with a = 1, h = 5 and k = 0.
- (d) x²-4x+4: This is standard form, not vertex form.
- (e) x(x-4): This is not in vertex form, it is a factored form of quadratic equation.
So, the quadratic expressions in vertex form are options (a) (x-1)²+10 and (c) (x-5)².
Learn more about Vertex Form here:
Complete question:
Select all of the quadratic expressions in vertex form
a) (x-1)²+10
b) (x-5)(x-4)
c) (x-5)²
d) x²-4x+4
e) x(x-4)
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Final answer:
The quadratic expressions in vertex form in the given options are (x-1)^2+10 and (x-5)^2. The vertex form of a quadratic expression is a*(x-h)^2 + k, where a, h, and k are constants.
Explanation:
The quadratic expressions in vertex form among the given options are a) (x-1)^2+10 and c) (x-5)^2. In general, a quadratic expression is in vertex form if it is written as a*(x-h)^2 + k, where a, h, and k are constants, and h and k represent the vertex of the parabola.
In other words, the vertex form provides an efficient way to identify the vertex of a parabola, as represented by a quadratic equation, and provides the easiest way to graph such an equation. The other expressions b) (x-5)(x-4), d) x^2-4x+4, and e) x(x-4) are not in vertex form.
Learn more about Quadratic expressions here:
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