Use the elimination method to solve the system of equations. Choose the correct ordered pair.
1 answer:
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Answer:
a) P(x<5)=0.
b) E(X)=15.
c) P(8<x<13)=0.3.
d) P=0.216.
e) P=1.
Step-by-step explanation:
We have the function:
a) We calculate the probability that you need less than 5 minutes to get up:
Therefore, the probability is P(x<5)=0.
b) It takes us between 10 and 20 minutes to get up. The expected value is to get up in 15 minutes.
E(X)=15.
c) We calculate the probability that you will need between 8 and 13 minutes:
Therefore, the probability is P(8<x<13)=0.3.
d) We calculate the probability that you will be late to each of the 9:30am classes next week:
You have 9:30am classes three times a week. So, we get:
Therefore, the probability is P=0.216.
e) We calculate the probability that you are late to at least one 9am class next week:
Therefore, the probability is P=1.
Answer:
15,267
Step-by-step explanation:
To solve this problem, lets use the exponential growth formula which is:
A = total amount
P = original amount
r = growth rate (decimal)
t = years
<u>Before we plug in the values, don't forget to change 3.5% to its decimal form.</u>
3.5% -> -> 0.035
Lets plug in the values:
The population after 7 years will be 15,267.