Answer:
y = - 0.181x + 24157.2
Step-by-step explanation:
Equation of the regression line is given from. The table by the Coefficient of the predictor, x variable and the intercept value :
The predictor here is mileage, which has a Coefficient of - 0.181
The constant value = intercept 24157.2
The regression equation is written in the form :
y = mx + c ; m = slope = Coefficient of predictor, ; x = predictor,
Hence, we have :
y = - 0.181x + 24157.2
Answer:
m∠CDE = 35°
Step-by-step explanation:
The exterior angle CDE is equal to the sum of the opposite interior angles, BCD and DBC. So, you have ...
6x -13 = (2x+10) +(x +1)
3x -24 = 0 . . . . . . . . . . . . subtract the right side, simplify
x -8 = 0 . . . . . . . . . . . . . . divide by 3
x = 8 . . . . . . . . . . . . . . . . . add 8
6x -13 = 6·8 -13 = 35 . . . . substitute for x in the expression for CDE
The measure of angle CDE is 35°.
Answer:
21
Step-by-step explanation:
Try using this notation: a(n) and not an.
an=n^3-2n becomes a(n) = n^3 - 2n.
Then a(1) = 1^3 - 2(1) = 1 - 2 = -1
a(2) = 2^3 - 2(2) = 8 - 4 = 4
a(3) = 3^3 - 2(3) = 27 - 6 = 21
The roller coaster starts at ground level.
Start: ground level, 0 ft altitude.
Climbs 110 ft: now it is at 0 ft + 110 ft = 110 ft altitude
Drops 65 ft: now it is at 110 ft - 65 ft = 45 ft altitude
Climbs 135 ft: now it is at 45 ft + 135 ft = 180 ft altitude
Since after the last step it is at 180 ft altitude, for the altitude to go back to 0, you must do 180 ft - 180 ft since 180 ft - 180 ft = 0 ft, ground level. The -180ft (the subtraction of 180 ft) part is a 180 ft drop. Therefore, the roller coaster needs to drop 180 ft to get back to ground level.
