Answer: Points are not following a straight-line pattern
Step-by-step explanation:
Hey there!
Each step is three feet. This can be represented by 3s= feet. We can plug that in to figure out our side lengths.
20(3)=60
40(3)=120
Now we can multiply these two together to get the area.
120(60)= 7,200
Therefore, his backyard is about 7,200 square feet.
I hope this helps!
Answer:
Correlation will not change.
Correlation coefficient = -0.72
Step-by-step explanation:
We are given the following in the question:
Correlation coefficient between hours spent studying and hours spent on the Internet = -0.72
Properties of correlation coefficient:
- Correlation is a technique that help us to find or define a relationship between two variables.
- It is a measure of linear relationship between two quantities.
- It is not affected by the units of the variable or change in units of the variable.
Thus, if the units of each variable is changed from hours to minutes, the correlation coefficient remains the same between minutes studying and minutes spent on the Internet.
Answer:
Step-by-step explanation: I believe the answer would be (4, 0.1).
When plotting a residual, use the x-value, in this case 4, and the residual value as the y. (4, 0.1) The 4 is the x value, and the 0.1 replaces the y value. In the table the column headers will show you what the x, y, and residuals are. Just disregard the y-value and "predicted" and "given" columns, they are not needed when plotting the residual. I really hope this helps, and I hope I explained it well!
Assuming you mean y=10x+150 and y=20x+115, you need to use a simultaneous equation, because you have two equations with two unknowns (x and y)
rearrange so
10x-y=-150
20x-y=-115
multiply the top by -1, so that if we add the two lines together, the y will cancel out
-10x+y=150
20x-y=-115
add the two lines together
10x=35
x=3.5
so the time is 3 and a half weeks
then we can sub in x to find y
20x-y=-115
20(3.5)-y=-115
70-y=-115
-y=-185
y=185
so 185 tickets were sold !
you can sub these values into your original equations to check your answer :)
