Answer:
(4, 5)
Step-by-step explanation:
Answer:
Option a) 50% of output expected to be less than or equal to the mean.
Step-by-step explanation:
We are given the following in the question:
The output of a process is stable and normally distributed.
Mean = 23.5
We have to find the percentage of output expected to be less than or equal to the mean.
Mean of a normal distribution.
- The mean of normal distribution divides the data into exactly two equal parts.
- 50% of data lies to the right of the mean.
- 50% of data lies to the right of the mean
Thus, by property of normal distribution 50% of output expected to be less than or equal to the mean.
Answer:
- a) 125,220,046 barrels
- b) 71.25 years
Step-by-step explanation:
<u>Oil consumption:</u>
<u>Rate of increase of consumption:</u>
<u>Total reserves </u>
- 155*2000000 = 310000000 barrels
a) ....................................................................................
<u>Total oil consumption at the end of 42 years:</u>
- 2,000,000
- 2,000,000*1.02 =
- 2.000,000*1.02^2
- ...
- 2,000,000*1.02^41
<u>Sum</u>:
- 2000000*(1 + 1.02+ 1.02^2+ ...+ 1.02^41) =
- 2000000*(1.02^41 - 1)/(1.02 - 1) = 125,220,046 barrels
b) ....................................................................................
<u>Oil reserves will last:</u>
- 2000000*(1.02^x - 1)/(1.02 - 1) = 310000000
- (1.02^x - 1)/0.02 = 155
- 1.02^x - 1 = 155*0.02
- 1.02^x =1 +3.1
- 1.02^x = 4.1
- x log 1.02 = log 4.1
- x = log 4.1 /log 1.02
- x = 71.25 years
Answer:
8p=c
Step-by-step explanation:
The number of pounds Lamar buys multiplied by the cost of a pound which is 8 equals c. 8p=c
