Answer:
The probabilty of selecting a red or yellow marble is 7/12
Step-by-step explanation:
To know the probability we have to divide the number of favorable events by the number of possible events
F = Favorable events: red or yellow marble
P = Possible events: red, yellow or blue
F = 4 + 3
F = 7
P = 5 + 4 +3
P = 12
7/12
The probabilty of selecting a red or yellow marble is 7/12
Answer with Step-by-step explanation:
a.Let given vector
a=8i-j+4k

By using the formula
Magnitude of a vector=
Where x=Coefficient of i
y=Coefficient of j
z=Coefficient of k
Unit vector=
By using the formula
The unit vector=
b.Let vector b=-2i+4j+2k


Length of vector=6
Therefore, the vector in the direction of <-2,4,2> with length 6 is given by =
The vector in the direction of <-2,4,2> with length 6 is given by =
c.

Let v=






Therefore, the vector v in component form=
Answer:
d***
Step-by-step explanation:
Answer:
B=1 M=6 D=3
Step-by-step explanation:
the equations are 4M+4D+2B=38
M+D+B=10
2D=M
step two: 4M+4D+2B=38 (multiply 2nd equation by -4)
-4M-4D-4B=-40
4M AND 4D cancels out and your left with -2B=-2 B=1
then you take the first equation and subsitute the third equation for M
step three: M+D+1 =10 (SUBSITUTE B WITH 1)
M+D=9
STEP FOUR: take the last equation (M+D=9) and subsitute 2D=M
2D+D=9
3D=9
D=3
subsitute D=3 into 2D=M so you get 2(3)=M M=6
DOUBLE CHECK USE THE SECOND EQUATION
M+D+B=1-
6+3+1=10
You should first add -10 and 24. Then you should subtract 7x and 2x. All you have to do is to find the like terms ( 7x and 2x because they both have x’s, and -10 and 24 because they don’t have x’s). So your answer would be 14+5x. If you have any questions please reply.