Answer:
$3.25
Step-by-step explanation:
Given that:
Mean, λ = 1.4
Strike within next minute = $3 won
Strike between one and 2 minutes = $5
Strike more than 2 minutes = $1
Probability that next strike occurs within the next minute :
Using poisson :
P(x < 1) = 1 - e^-(λx) ;
P(x < 1) = 1 - e^-(1.4*1) = 1 - e^-1.4
P(x < 1) = 1 - 0.2465969
P(x < 1) = 0.7534030
Next strike occurs between 1 and 2 minutes :
(1 < x < 2) :
P(x < 2) - P(x < 1)
P(x < 2) = 1 - e^-(λx) ;
P(x < 2) = 1 - e^-(1.4*2) = 1 - e^-2.8
P(x < 2) = 1 - 0.0608100
P(x < 2) = 0.9391899
P(x < 2) - P(x < 1)
0.9391899 - 0.7534030 = 0.1857869
P(striking after 2 minutes)
P(x > 2) = e^-(λx) ;
P(x > 2) = e^-(1.4*2) = e^-2.8
P(x > 2) = 0.0608100
Amount charged :
(0.7534030 * 3) + (0.1857869 * 5) + (0.06081 * 1)
= 3.2499
= $3.25
Answer:
FV= $4,948.16
Step-by-step explanation:
Giving the following information:
Number of periods (n)= 10
Interest rate (i)= 2.15% compound interest annually
Present value (PV)= 4,000
<u>To calculate the future value, we need to use the following formula:</u>
FV= PV*(1+i)^n
FV= 4,000*(1.0215^10)
FV= $4,948.16
Answer: y = x -1
reasoning: the slope is 1 because the rise/run = 1/1, which simplifies to 1.
the y intercept is -1 because the line passes through the y axis at -1.
hope this helps!
Answer:
See answer(s) below
Step-by-step explanation:
$ 176.98 to nearest cent is $ 176.98
176.98 cents rounded to the nearest cent is 177 cents
Answer:
4
EXPLANATION STEP BY STEP
the radius of 8 is 4 because 4 is half of 8 and when u uh divide 8 by 2 u get 4 so if 4 is the answer.
