Aspinner is divided into sections of equal size, of which some are red, some are blue, and the remaining are green. the probability of the arrow landing on a section colored red is 20%. the probability of the arrow landing on a section colored blue is 10%. what is the probability of the arrow landing on a section colored green. 10% 20% 30% 70% plz

70%

Step-by-step explanation:

The total probability theorem allows us to calculate the probability of an event from conditioned probabilities. The events have to form a complete system, that is, they contemplate all possibilities (the sum of their probabilities must be 100%).

Be the events,

A = The arrow falls in the color red

B = The arrow falls in the color blue

C = The arrow falls in the color green

The odds given are as follows:

P (A) = 20%

P (B) = 10%

P (C) =?

According to the total probability theorem,

P (A) + P (B) + P (C) = 100%

Isolating P (C), we have

P (C) = 100% - P (A) - P (B)

Substituting the variables for the corresponding data,

P (C) = 100% - 20% - 10%

P (C) = 70%

Hope this helps!

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!