The coordinates of point P are (-3 , -6)
Step-by-step explanation:
If point (x , y) partitions line AB where A =
and B = 
at a ratio
from A then:
1. 
2. 
∵ P partitions AB in the ratio 3 : 4
∴
= 3 : 4
∵ A = (-9 , -9) and B = (5 , -2)
- Substitute the coordinates of points A and B in the rules above
∵ 
∴ 
∴ 
∴ x = -3
The x-coordinate of P is -3
∵ 
∴ 
∴ 
∴ y = -6
The y-coordinate of P is -6
The coordinates of point P are (-3 , -6)
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Answer:
Option A
Step-by-step explanation:
Given that in a study of the relationship between geographical mobility (number of times a person has changed residences) and number of friends, Pearson's r^2 is reported as .40.
r square, being the coefficient of determination explains the variablity of one variable due to the variability of the other. Here Mobility explains 40% variation in the number of friends is right answer.
Option B is wrong because r = ±6324, so cannot say positive or negative.
Similarly option c is wrong because we are unsure whether negative correlation. Option d is wrong since 16% is not right .
Let x = amount of sales (in dollars)
The salary is $400 and there's an additional 0.06x dollars added on to get to the goal of 790. The equation is therefore
<span>400+0.06x = 790
</span>
Let's solve for x
400+0.06x = 790
<span>400+0.06x-400 = 790-400
</span>0.06x = 390
0.06x/0.06 = 390/0.06
x = 6500
The final answer is 6500
This means he must have $6,500 in sales.
Answer:
0.25
Step-by-step explanation:
Bag 1 :
Number of marbles = 6
Number of Blue marbles = 3
Bag 2:
Number of marbles = 4
Number of Blue marbles = 2
Recall :
Probability = required outcome / Total possible outcomes
For Bag 1:
P(blue) = Number of Blue marbles / total marbles
P(blue) = 3 / 6 = 1/ 2
For Bag 2:
P(blue) = Number of Blue marbles / total marbles
P(blue) = 2 / 4 = 1/ 2
Probability of a picking a blue marble from each bag :
1/2 * 1/2 = 1/4 = 0.25