Answer:
The data is skewed left
Less than
Median is 22
mean is 20.2
Step-by-step explanation:
<u>median: 15,16,18,19</u>,22,22,<u>22,22,23,23</u>
mean: 15+16+18+19+(22x4)+(23x2)=
31+37+88+46=
68+134=202÷10=20.2
Given: 5x-y=4. Create a couple of ordered pairs by choosing x and calculating y from this equation:
x=1 results in y=1. Thus, (1,1) is a solution.
x=-3 results in -15-y=4, or -y=19, or y=-19. Thus, (-3,-19) is a solution.
x=0 results in -y=4, so that y=-4. Thus, (0,-4) is a solution.
Answer to problem 1 is (9,9)
Answer to problem 2 is (0,-4)
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Explanation:
To find the component form, they basically want the translation rule. To find the translation rule, we subtract the coordinates tip - head
In general, if we have two vectors M and N such that
M = (a,b)
N = (c,d)
then
vector MN = (c-a, d-b)
Applying this to the vector CD gives us
vector CD = (7-(-2), 10-1) = (7+2, 10-1) = (9, 9)
Basically meaning that we shift point C nine units to the right and nine units up to get to point D
Similarly,
vector RS = (-4-(-4), -3-1) = (-4+4, -3-1) = (0,-4)
so we shift point R four units down to get to point S
Answer:
2:4 means one part is 2/(2+4)=1/3 of AB and the other part is 2/3 of AB
Step-by-step explanation:
Add 1/3 of the distance from -2 to 4. (1/3)(4+2)=2. -2+2=0 The x coordinate is 0
Subtract 1/3 of the distance from 6 to -6, (1/3)6+6)=4 6-4=2 The y coordinate is 2
The point is (0,2)
Check the answer
distance from (-2,6) to (0,2) is square root of (-2)^2 + (4)^2 = sqr20 = 2(5)^2
distance from (0,2) to (4,-6) is square root of (4)^2 +(8)^2 = sqr80 = 4(5)^2
First distance is half the 2nd distance, so the point divides AB into 2 parts in a ratio of 2:4