Answer:
Both are 117 degrees.
Step-by-step explanation:
Since 6 and 8 are vertical angles, they are congruent. So, 8 is also 63 degrees. Angle 4 corresponds to angle 8, so it is also 63. Angle 2 and angle 4 are vertical, so they are also congruent. So, angle 2 is 63. Since angle 1 and 2 form a straight line (180 degrees), you can find angle 1 by subtracting 63 from 180. You get 117. And since 1 and 3 are vertical, 3 is also 117.
Average speed for car a = 1280 / 16 = 80 mph
Car b travels at 80 - 0.5 = 79.5 mph.
Distance car b will travel in same time = 16*79.5 = 1272 miles.
Answer:
Check the explanation
Step-by-step explanation:
The multiple coefficient of determination, denoted R2, is the ratio of the sum of squares due to regression to the total sum of squares.
The R2 for the new regression is 63209/121222=0.52 (A), indicating that the new estimated multiple regression equation explains 52% (B) of the variability of digital camera sales.
The sum of squares due to error divided by the total sum of squares is 58013/121222=0.4785=0.48 (B), and 1 minus this ratio is 1-0.48=0.52 (B).
The adjusted multiple coefficient of determination, denoted by R2a, for the new regression is 1-[(1-r^2)(n-1/n-k-1)]=0.45 (C).
The mean square due to error divided by the total mean square is 2072/3788=0.5469=0.55 (A) , and 1 minus this ratio is 1-0.55=0.45 (C).
In general, adding independent variables to a multiple regression model reduces the sum of squares due to error (C). The multiple coefficient of determination increases (C), and the adjusted multiple coefficient of determination could either increase or decrease (C).
Adding the independent variable x4 to the multiple regression model increases (B) the multiple coefficient of determination and increases (A) the adjusted multiple coefficient of determination.
