Answer:
4.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
A
According to the exercise we can say that the explanatory variable will be hours / weeks of study.
The response variable is GPA.
B
We definitely found that between the variables there is a weak or fragile relationship, neither negative nor positive nor linear.
C)
1.Observational study, since we observe that the only variables that will influence the results of the study are the observations of the students
2.No. This study is observational and its characteristics are not sufficient to conclude that studying more hours leads to obtaining a higher GPA.
Answer:
Step-by-step explanation:
the expression we have is:
To find an equivalent expression, it would be helpful to express 1/3 so that it has a 12 in the denominator:
so we substitute this:
and now we have 1/12 in both terms :
so we can factor it (we take it out of each term: in the first we are left with -x and in the second with -4):
the equivalent expression is:
Answer:
rate of the plane in still air is 33 miles per hour and the rate of the wind is 11 miles per hour
Step-by-step explanation:
We will make a table of the trip there and back using the formula distance = rate x time
d = r x t
there
back
The distance there and back is 264 miles, so we can split that in half and put each half under d:
d = r x t
there 132
back 132
It tells us that the trip there is with the wind and the trip back is against the wind:
d = r x t
there 132 = (r + w)
back 132 = (r - w)
Finally, the trip there took 3 hours and the trip back took 6:
d = r * t
there 132 = (r + w) * 3
back 132 = (r - w) * 6
There's the table. Using the distance formula we have 2 equations that result from that info:
132 = 3(r + w) and 132 = 6(r - w)
We are looking to solve for both r and w. We have 2 equations with 2 unknowns, so we will solve the first equation for r, sub that value for r into the second equation to solve for w:
132 = 3r + 3w and
132 - 3w = 3r so
44 - w = r. Subbing that into the second equation:
132 = 6(44 - w) - 6w and
132 = 264 - 6w - 6w and
-132 = -12w so
w = 11
Subbing w in to solve for r:
132 = 3r + 3(11) and
132 = 3r + 33 so
99 = 3r and
r = 33
Yes, since 3 times 1.5 is 4 and 2 times 1.5 is 3.
In first trails there are 3 cups of peanuts mixed with 2 cups of raisins.
Therefore ratio of peanut to raisins is
For second trail 4.5 cup of peanuts mixed with 3 cups of raisins
