The data consists of 25 observations - this is just how many people were involved in the study. (count the rows, excluding the header)
As for number of variables, that depends on the aim of the study. More likely than not, I suspect the name of each person involved is irrelevant, which leaves 7 variables. (count the columns, excluding the first)
Answer:13hrs
Step-by-step explanation:
Initial Temperature = 21°c
final temperature = -18°c
rate of decrease = 3°c/hr
for every hour the temperature decreases by 3°c.
What time does it take to get to 0c = . 21(°c) / 3(°c/hr) = . 7hr
what time does it take to get to -18c = 18(°c) / 3(°c/hr) = . 6hr
Total Time taken = . 7hr + 6hr = 13hr
Alternative solution
Initial Temperature = 21°c
final temperature = -18°c
rate of decrease = 3°c/hr
(21 + 18)°c/ 3(°c/hr) . = . 13hr
Answer:
a) $2,641,885.90
b) $264,188.59
Step-by-step explanation:
The total profit is the integral of the marginal profit. The marginal profit is the difference between marginal revenue and marginal cost.
a) To find the total profit for the first 10 days, we evaluate P(10):
P(10) = 120(e^10 -1) -120(10) +0.3(10^2) = 120(22026.4658 -1) -1200 +30
P(10) = 2,641,885.90 . . . . rounded to cents
The total profit from day 0 to day 10 is $2,641,885.90.
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b) The average daily profit is the total profit divided by the number of days:
average profit per day = P(10)/10 = $264,188.59
The average daily profit for the first 10 days is $264,188.59.
Step-by-step explanation:
6(2(y+x))=6(2x+2y)=12x+12y