Answer:
E(Y) = $0.5
Var(Y) = 14.25
you should pay the same amount $0.5
Step-by-step explanation:
E(Y) = = Σ(YP)
P = probability of each outcomes.
Var(Y) = Σ
p − (μ x μ)
E(Y) = (2 x 0.25) +(6 x 0.25) + (0.5 x (-3)) = $0.5
Var(Y) = (
x 0.25) + (
x 0.25) +(
x 0.5) - (
)
= 14.5 - 0.25
Var(Y) = 14.25
for the difference between the payoff and cost of playing to have mean 0, you should pay the same amount $0.5
I think you would use the Pythagorean Theorem to solve this, as a square cut across diagonally creates two isocele triangles. Since the longest side is 20 m, this value would be imputed into c^2.
a^2 + b^2 = c^2
a^2 + a^2 = 20^2
2a^2 = 400
2a^2/2 = 400/2
a^2 = 200
a = 14.14
Thus, each sides of the playground are 14.14 meters long.
Answer:
g(x) = x² - 4 is already in form of a variable, I.e., x
g(4x) takes another variable, I.e., 4x
Same as before, 4x takes over x:
=> g(4x) = (4x)² - 4
- <em>(</em><em>ax</em><em>)</em><em>²</em><em> </em><em>=</em><em> </em><em>a</em><em>²</em><em>x</em><em>²</em><em>,</em><em> </em><em>where</em><em> </em><em>a</em><em> </em><em>is</em><em> </em><em>some</em><em> </em><em>arbitrary</em><em> </em><em>constant</em><em>.</em><em> </em>
<h3><u>Answer</u><u>:</u> </h3>
=> g(4x) = 16x² - 4
OR
=> g(4x) = 4{4x² - 1}
Perform indicated multiplication on left side first...
-5x-35<-10 add 35 to both sides
-5x<25 divide both sides by -5 (you must reverse sign because of division by a negative value too!)
x>5 or if you prefer...
x=(5, +oo)
Answer:
y=-x+5 the y intercept is 5 and the slope is -1
Step-by-step explanation: