You spin a 4-segment spinner that reads your Go to Bed hours as 8 pm, 9pm, 10pm, and 11 pm. You also pull a card from 4-card deck that has 0 - 3 hours values. What are the chance you go to bed after 10? *

1- 5/8
2- 1/2
3- 75%

a) 5/8

Step-by-step explanation:

You spin a 4 segment spinner with Go to bed hours of: 8pm, 9pm, 10pm, and 11pm.

You also pull a card from 4-card deck that has 0 - 3 hours values.

The values of cards will be:

0:00hours, 1:00hours, 2:00hours and 3:00hours.

From the given details, the total number of time to go to bed, n, would be:

4(segment spinner) + 4(card deck)

= 4 + 4

= 8

The time available after 10pm =

11pm, 0:00hours, 1:00hours, 2:00hours, and 3:00hours.

The chance you go to bed after 10pm will be given as:

Time available after 10 / total number of time

= 5/8

Therefore, the chance you go to bed after 10pm is 5/8

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!