Answer:
C. 0.55
Step-by-step explanation:
The scatter plot shows that there is a positive correlation between variable x and variable y. This is because, the x and y variable seem to follow the same trend. That is, as x variable increases, y variable also increases. If a line of best fit is drawn, it would slope upwards, from left to our right.
Correlation coefficient (r) of any given data set plotted on a scatter plot, ranges from -1 to 1. The closer the value of "r" to either -1 or 1, the more clustered the data points are together in a line of best fit in a scatter plot.
Therefore, since the scatter plot given shows a positive relation between the x and y variables, whereby the data points seem to be less clustered and farther from each away from the line if best fit, if drawn, an estimate of "r" would not be closer to the value of 1.
Therefore, from the options given, C. 0.55 is the best estimate for r for the data shown in the scatter plot.
Answer:
Question 1 : If you mean how many miles will he run in 1 hour then it is 1 Mile | Question 2 : 2 Miles
Step-by-step explanation:
Question 1 :
1/4 x 4 (because of the hour being split into fourths) = 1 Mile
Question 2 :
120 / 20 = 6, 6 x 1/3 = 6/3, simplified = 2
The point where the lines intersect is the solution to the system of equations.
(x, y) = (2, 3)
For continuously compounded interest:
Amount = Principle * e^(rate * time)
A rate of 8% converted to a decimal value: r=0.08
With time t=4
and amount 1190
Plug all these values in,
1190 = Principle * e^(0.08 * 4)
And use your calculator to solve for the principle.
Maybe we'll call it P to make things easier.
1190 = P * e^(0.08 * 4)
1190 = P * 1.377
The principle is being multiplied by this 1.377,
divide by 1.377 to undo the multiplication.
864.11735 = P
