Answer:




And then replacing we have this for the expected value:

And after do the math we got:

And then the expected value for this game is -0.79998 a negative result means NOT a win.
Step-by-step explanation:
For this case we can define the random variable X as the amount that we can win. We can find the expected value with the following formula:

And we have the following probabilities and possible values given:




And then replacing we have this for the expected value:

And after do the math we got:

And then the expected value for this game is -0.79998 a negative result means NOT a win.
Answer:
Go up 2, then over negative 6
Step-by-step explanation:
Answer:
y=4
Step-by-step explanation:
D = {5; 7; 9; 11}
y = 45 - 3x
substitute the values of x from the domain to the equation:
for x = 5: y = 45 - 3 · 5 = 45 - 15 = 30for x = 7: y = 45 - 3 · 7 = 45 - 21 = 24for x = 9: y = 45 - 3 · 9 = 45 - 27 = 18for x = 11: y = 45 - 3 · 11 = 45 - 33 = 12
Answer: The range is { 12; 18; 24; 30}.
Answer:
Step-by-step explanation:
Given that the number of a certain type of bacteria increases continuously at a rate proportional to the number present.
Initial population = 150
Hence equation for population P would be
where t = time in hours
When t=5, P = 450
Substitute to get
k=0.2197
is P(t)
P will double when
t =3.155
Between 3rd and 4th it would double
c) Yes it doubles when 3.155 hours lapsed from the start time since t in the equation is time lapsed from start time.