Answer:
The reason for the columns adding up to 1 is that each individual consumes a proportion or a fraction of the total quantity produced under each product category and every product is consumed. There is no leftover.
When the proportions of all the individuals are added up, the sum is always 1 under each product category because each individual can only consume a part of the whole.
Step-by-step explanation:
a) Data and Calculations:
Food Clothes Housing Energy High Quality 100
Proof Moonshine
Farmer 0.25 0.15 0.25 0.18 0.20
Tailor 0.15 0.28 0.18 0.17 0.05
Carpenter 0.22 0.19 0.22 0.22 0.10
Coal Miner 0.20 0.15 0.20 0.28 0.15
Slacker Bob 0.18 0.23 0.15 0.15 0.50
Total 1.00 1.00 1.00 1.00 1.00
Answer:
(12,12)
Step-by-step explanation:
For the x coordinate you add 4 to 8, and get 12.
For the y coordinate you subtract 8 from 20 to get 12.
So it would read (x + 4, y -8) -> (12,12)
Brooke needs to get a 98 on the final to get an average of 80.
So you know that the total of the five given score is 382 by adding all the scores.
Now you multiply the average, 80 by 6 for the total of six tests including the final which is 480
Then you subtract 480-382 to find your answer.
The last option is the answer. You can double check by substituting the -3 for the x values and the 17 for y values and the statements would be true.