Answer:
14C3 = 364
Step-by-step explanation:
We have to calculate how much money has to be invested at 2.3% interest compounded continuously to achieve $41,000 after 17 years. The formula is: A = P * ( 1 + r )^t, where A = $41,000, r = 0.023 and t = 17. 41,000 = P * ( 1 + 0.023 ) ^17; 41,000 = P * ( 1.023 )^17; 41,000 = P * 1.4719; P = 41,000 : 1.4719; P = 27,855.15. Answer: It has to be invested <span>$27,855. </span>
Answer:
0.9999
Step-by-step explanation:
Let X be the random variable that measures the time that a switch will survive.
If X has an exponential distribution with an average life β=44, then the probability that a switch will survive less than n years is given by
So, the probability that a switch fails in the first year is
Now we have 100 of these switches installed in different systems, and let Y be the random variable that measures the the probability that exactly k switches will fail in the first year.
Y can be modeled with a binomial distribution where the probability of “success” (failure of a switch) equals 0.0225 and
where
equals combinations of 100 taken k at a time.
The probability that at most 15 fail during the first year is
Answer:
All angles in each triangle are less than 180°