Answer: 22
Step-by-step explanation:
Lines a and b are cut by transversal f.
Then from the given information,
[ If two parallel lines are cut by a transversal then, the alternate exterior angles are equal. ]
Hence, the value of x so that lines a and b are parallel lines cut by transversal = 22
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:
1245
Step-by-step explanation:
Distribute the number 3 to each of the numbers in the second set of parentheses. Be careful to remember to add zeros to the number depending on which place holder the number is in.
Demonstration:
3 × 400
3 x 10
3 x 5
After solving each equation, add the total
1200 + 30 + 15 = 1245
Answer:
Option B is correct
Step-by-step explanation:
Given is a cos funciton.
Period = 3
Max = 20 and minimum =0
Hence centre line is y = 1/2 (max+min)
i.e. y =10 is the central line
Let the funciton be of the form
y = a cos (bx+C)+d
We got d = 10...i
Period =3
Hence b = 
... ii
Amplitude = a = distance of max from central line = 20-10 =10...iii
Since reflection over x axis, sign of a =negative
a=-10
Since no horizontal shift, c=0 ... iv
Put to gether the function is
Answer:
Housing is a categorical variable
Step-by-step explanation:
Housing. i.e where the horses stay. have an effect on the investigative factors ( diet and environment )that the horses will be exposed to
Housing is a categorical variable because it has more than one categories ( stall, small paddock, large paddock , pasture ) attached to it without any form of intrinsic ordering attached to it
