7.5 i think not 100% sure tho
1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).
2. Use formula
to find the distance from point
to the line Ax+By+C=0.
The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:
.
3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.
Answer:
.
Answer:
g = 12
Step-by-step explanation:
Inequality is 4g + 12 < 60
Solving for g,
4g < 60 - 12
4g < 48
Divide both sides by 4,
g < 48 / 12
g < 12
The total amount of gas she can buy is 12 gallons
The answer is the last one
Answer:
Check the explanation
Step-by-step explanation:
(a)
P-value of income and size is 0.0003 and 0.0001 respectively. Both are less than 0.05 level of significance. So these are significant ot the model. Option D is correct.
(b)
The model is
House_size = -1.6335+0.4485*income + 4.2615*family_size -0.6517*school
Here we have income = 85600/1000 = 85.6
family_size = 6
school = 13
So the predicted house size is
House_size = -1.6335+0.4485*85.6 + 4.2615*6 -0.6517*13=53.855
the predicted house size (in hundreds of square feet) is 53.86. hence, option B is correct.
3)
Here we have income = 100000/1000 = 100
family_size = 10
school = 16
So the predicted house size is
House_size = -1.6335+0.4485*100 + 4.2615*10 -0.6517*16=75.40
Residual : observed value- predicted value = 70 - 75.40 = -5.40
Option C is correct.