The graph of the exponential function f(x) = 5(2)ˣ is as shown in the attached file.
<h3>How to draw the graph of an exponential Function?</h3>
We want to draw the graph of the exponential function;
f(x) = 5(2)ˣ
At input of x = 0, we have;
f(x) = 5(2)⁰ = 5
At input of x = 1, we have;
f(x) = 5(2)¹ = 10
At x = -1, we have;
f(x) = 5(2)⁻¹ = 2.5
At x = -2, we have;
f(x) = 5(2)⁻² = 1.25
Read more about Graph of Exponential Function at; brainly.com/question/12940982
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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
Answer:
120 leaves
Step-by-step explanation:
If the caterpillar eats 75 leaves in 5 hours and continues to eat at the same rate, the number of leaves eaten is simple, 120 leaves.
How I found the answer:
First, I divided 75 by 5 and got 15, then I multiplied 8 to 15 and got 120.