Answer:
The correct answer is: 
Step-by-step explanation:
As stated in the question that x represents the number of minutes his <em>normal</em> commute takes. Here the keyword is normal; in the <em>normal</em> commute, Ken takes side streets instead of the toll road.
However, in this scenario, we have to come up with the equation that takes Ken's commute via <em>toll road</em>.
Ken can travel 3 times faster by taking the toll road (Given), which can be represented in the mathematical terms in terms of x as follows:
<em>Without considering Ken getting late, </em>the equation would become the following:
--- (A)
<em>As Ken is leaving late</em>, we have to incorporate that time as well by <em>adding</em> it in the aforementioned equation (A).
In this case, it's 20 minutes; therefore, the equation (A) will become:
Hence, the correct answer is .
Answer:
98/69
Step-by-step explanation:
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
Q2 is the median, which is the middle number, which is 12
Q1 is the middle between the minimum and the median, which in this case is the middle between 6 and the second 12, which is both 9 and 10. so find the average (9+10/2) = 9.5
Q3 is the half way point between the median and the max, which is the second 12 and 24, 17 and 19 are the middle, once again find the average (17+19/2) which is 18
Q1: 9.2
Q2:12
Q3:18
No there's a difference between it, I know what it was on the tip of my tongue but I forgot it <span />
