let's recall that a Centroid in a triangle cuts the Medians into a 2:1 ratio, or namely CG : GD are in a 2: 1 ratio, we can also look at it that the side CD is 2/3 of CD whilst GD is 1/3 of CD, so
Answer:
Step-by-step explanation:
m = slope where
m = rise / run
rise = y2 - y1
run = x2 - x1
where
the given point P1 = (7, -12)
and is in the form of (x1,y1)
and
the given point P2 = (-9,36)
is in the form of (x2,y2)
then
m = ( y2 - y1 ) / ( x2 - x1 )
m = ( 36 - (-12) ) / ( -9 -7 )
m = ( 36 + 12 ) / ( - 16 )
m = 48 / - 16
m = - 3
the slope is negative 3
slope = - 3
1 kg = 2.20462 lbs
so 2.7 kg = 2.7(2.20462) = 5.952474....rounds to 5.95 lbs
Answer:
Here's a possible example:
Step-by-step explanation:
Each piece is linear, so the pieces are continuous by themselves.
We need consider only the point at which the pieces meet (x = 3).
The left-hand limit does not equal ƒ(x), so there is a jump discontinuity at x =3.
Procedure:
1) calculate the number of diferent teams of four members that can be formed (with the ten persons)
2) calculate the number of teams tha meet the specification (two girls and two boys)
3) Divide the positive events by the total number of events: this is the result of 2) by the result in 1)
Solution
1) the number of teams of four members that can be formed are:
10*9*8*7 / (4*3*2*1) = 210
2) Number of different teams with 2 boys and 2 girls = ways of chosing 2 boys * ways of chosing 2 girls
Ways of chosing 2 boys = 6*5/2 = 15
Ways of chosing 2 girls = 4*3/2 = 6
Number of different teams with 2 boys and 2 girls = 15 * 6 = 90
3) probability of choosing one of the 90 teams formed by 2 boys and 2 girls:
90/210 = 3/7
