Answer:
A:
p = 65s, 0《s《20
p = 1300, s > 20
B:
p = 300 + 40s, s》0
C:
p = 900
Step-by-step explanation:
Salmesman A:
p = 65s
65s = 1300
s = 20
Salesman B:
p = 300 + 40s
Salesman C:
p = 900
Answer:
Correlation does not mean <em>causation</em> even after having a relatively high correlation coefficient as a result.
Step-by-step explanation:
Correlation and causation are not the same. Correlation does not mean that variations in one variable <em>cause</em> variations in the second variable. Instead, correlation considers that variations in one variable <em>corresponds</em> with variations of the second variable. No more.
Correlation is an important first step to establish that one variable possibly can cause some effect on the other, but it is not a definitive answer to this question. It is crucial to find other possible factors that can explain what causes some effect.
As a conclusion, a positive and relative high correlation coefficient does not necessarily mean causation. It simply tells us that some study found that people that listen to loud music are also people with poor hearing problems, and possibly a cause to the latter variable is to listen loud music repeatedly, but it is a must to find other possible factors before definitely concluding that.
Answer:
The expected payout of the game is $230.46.
Step-by-step explanation:
The given table is
Payout Amount : $160 $4400 $145000
Probability : 0.146 0.024 0.0007
We need to find the expected payout of the game.
The formula for expected payout is

where, n is amount and P(x) is probability of that event. The value of n is negative for loss.
Using the above formula we get



Therefore the expected payout of the game is $230.46.
Answer:
35 minutes
Step-by-step explanation:
The total amount of water is 200 +60 = 260 gallons. The two tanks will have equal amounts when each has half that, or 130 gallons.
If the volume in tank 2 is increasing at 2 gallons per minute, it will increase by 70 gallons from 60 gallons to 130 gallons in 70/2 = 35 minutes.
AE x BE = DE x CE
6x5 = 30
6 x DE = 30
DE = 30/6 =5
DC = DE +CE = 5+6 =11
Answer is C) 11