Answer:
The answer is "88.9%"
Step-by-step explanation:
The Variance percentage indicates through the REgression equation but, the R-Square, it becoming the determination coefficient. 88.871% of the variance could be explained according to the above results.
X^4 - x^2 + 9 - (x^3 + 3x^2 + 12) =
x^4 - x^3 - 4x^2 - 3
Answer:
Z(-0.2, 2.2).
Step-by-step explanation:
We will use section formula when a point, say P, divides any segment ,say AB, internally in the ratio m:n.
![[x=\frac{mx_2+nx_1}{m+n}, y= \frac{my_2+ny_1}{m+n}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2C%20y%3D%20%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5D)
We have been given the points of segment XY as X at (-2,1) and Y at (4,5) and ratio is 3:7.

Upon substituting coordinates of our given points in section formula we will get,
![[x=\frac{(3*4)+(7*-2)}{3+7}, y= \frac{3*5+7*1}{3+7}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B%283%2A4%29%2B%287%2A-2%29%7D%7B3%2B7%7D%2C%20y%3D%20%5Cfrac%7B3%2A5%2B7%2A1%7D%7B3%2B7%7D%5D)
![[x=\frac{12-14}{10}, y= \frac{15+7}{10}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B12-14%7D%7B10%7D%2C%20y%3D%20%5Cfrac%7B15%2B7%7D%7B10%7D%5D)
![[x=\frac{-2}{10}, y= \frac{22}{10}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B-2%7D%7B10%7D%2C%20y%3D%20%5Cfrac%7B22%7D%7B10%7D%5D)
![[x=-0.2, y= 2.2]](https://tex.z-dn.net/?f=%5Bx%3D-0.2%2C%20y%3D%202.2%5D)
Therefore, coordinates of point Z will be (-0.2, 2.2).
Answer:
0.105 = 10.5% probability that an accident results in a death.
Step-by-step explanation:
What is the probability that an accident results in a death?
5% of 60%(sunny)
25% of 20%(foggy)
12.5% of 20%(rainy)
So

0.105 = 10.5% probability that an accident results in a death.
Answer:
A.) 15
B.) 1 year
C.) $50
D.) 1.5%
Step-by-step explanation:
The percentage equation goes thus:
Interest earned = principal * rate * time
A)
Principal: $100 Interest rate: 5% Time in years: 3 Interest earned
Interest earned = $100 * 0.05 * 3
Interest earned = $15
B.)
Principa;" $500 Interest rate: 4% Time in years: interest earned: $20
Interest earned = principal * rate * time
20 = 500 * 0.04 * time
20 = 20 * time
Time = 20 / 20 = 1
Time = 1 year
C.)
Principal: Interest rate:10% Time in years: 7 Interest earned:$35
Interest earned = principal * rate * time
$35 = principal * 0.1 * 7
$35 = principal * 0.7
Principal = $35 / 0.7
Principal = $50
D.)
Principal: $200 Interest rate: Time in years:2 Interest earned: $6
Interest earned = principal * rate * time
$6 = $200 * rate * 2
$6 = $400 * rate
Rate = $6/$400
Rate = 0.015 = 1.5%