Answer:
1. annual tuition 2. $-27139 3. slope = -0.91
Step-by-step explanation:
1. An independent variable is the factor that is not determined by the model in this case the annual tuition variable (the linear regression model factor)
2. substitute $30,000 into the linear regressions equation gives:
y = -0.91(30000) + 161 = -27139
This value tells us that when the annual tuition is $30,000 the average mid-career salary of graduates is predicted to be -$27,139
3. the slope if the regression is represented by the coefficient of the factor in the linear regression model. In this case, as the factor is x or the annual tuition, and the coefficient of this variable in the given example is -0.91 which in turn is the slope of the model.
Answer:
90° + (γ/2)
Step-by-step explanation:
The angles in ΔADB have a sum of 180°, so ...
(A/2) +(B/2) + ∠ADB = 180°
and so do the angles of ΔABC:
A + B + γ = 180°
Dividing this second equation by 2 gives an expression for (A/2) +(B/2) that we can substitute into the first equation:
A/2 +B/2 +γ/2 = 90°
A/2 +B/2 = 90° -γ/2
Putting this in the first equation, we have ...
(90° -γ/2) + ∠ADB = 180°
∠ADB = 90° +γ/2 . . . . . . . . . . add (γ/2 -90°)
Answer:
The average speed was of 2 miles per hour.
Step-by-step explanation:
Average speed:
Average speed is distance divided by time.
Distance:
Solved by proportions, using rule of three.
1800 steps - x miles
10,000 steps - 5 miles
Distance of 0.9 miles.
Using a time of 27 minutes to complete the event, calculate your average speed.
Distance of 0.9 miles in 27/60 of an hour. So
The average speed was of 2 miles per hour.
Answer:
<h2>
8.54 units</h2>
Step-by-step explanation:
Given,
Perpendicular ( p ) = 8 units
Base ( b ) = 3 units
Hypotenuse ( h ) = ?
Using Pythagoras theorem:
plug the values
Evaluate the power
Calculate the sum
Squaring on both sides
Calculate
units
Hope this helps..
Best regards!
