1. Janessa is playing a board game with two friends. Using a single die, one friend rolled a four, and the other friend rolled a three. Janessa needs to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning. What is the sample space for Janessa’s calculation?
A. [3, 4]
B. [1, 2, 5, 6]
C. [1, 2, 3, 4, 5, 6]
D. [5, 6]

2. Janessa is playing a board game with two friends. Using a single die, one friend rolled a four, and the other friend rolled a three. Janessa needs to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning.
Is the probability of Janessa winning an independent event or dependent event? Why?
A. Her probability of winning is a dependent event because it depends on the results of her friends’ rolls.
B. Her probability of winning a dependent event because it does not depend on the results of her friends’ rolls.
C. Her probability of winning is an independent event because it does not depend on the results of her friends’ rolls.
D. Her probability of winning is an independent event because it depends on the results of her friends’ rolls.

3. Janessa is playing a board game with two friends. Using a single die, one friend rolled a four, and the other friend rolled a three. Janessa needs to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning.
How many desired outcomes should Janessa use in her probability calculation?
A. 2
B. 3
C. 4
D. 6

A bag contains 8 red pens, 7 blue pens, and 14 black pens. Denato will pull a pen from the bag.

4. When Denato pulls a pen from the bag, how many outcomes are possible?
A. 29
B. 7
C. 8
D. 14

1)    3, 4

2) .  1, 2, 3, 4, 5, 6

3)   5, 6

4) .   1, 2, 5, 6

Step-by-step explanation:

I know for number 2 its- D. Her probability of winning is an independent event because it depends on the results of her friends’ rolls.

Step-by-step explanation:

ill edit to find the rest of the answers

a) $ 9.50

b) 17

c) y-intercept (0, 12). this is the initial amount of money that joe had prior to playing any game.

d) x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e) slope is -0.5. joe's balance will reduce by 0.5 for every game that he plays.

f)

domain; [0,24]

range; [0,12]

g) x + 2y = 24

step-by-step explanation:

a)

if joe plays 5 games, this will imply that x = 5. substitute x = 5 in the equation and solve for y;

y = -.50x + 12

y = -0.50(5) + 12

y = 9.50

b)

if joe leaves the arcade with $3.50, this will mean that y = 3.50. plug in y = 3.50 in the given equation and solve for x;

y = -.50x + 12

3.50 = -0.50x + 12

0.50x = 12 - 3.50

0.5x = 8.5

x = 17

c)

the function given is   y = -.50x + 12.

the y-intercept is the point where the graph of this function will intersect the y-axis. at this point, the value of x is usually 0. plug in x = 0 in the given equation and determine y;

y = -0.50(0) + 12

y = 12

the y-intercept is thus (0, 12). this is the initial amount of money that joe had prior to playing any game.

d)

the x-intercept refers to the point where the graph of a function intersects with the x-axis. at this point, the value of y is 0. substitute y = 0 in the given equation and solve for x;

0 =   -.50x + 12

0.5x = 12

x = 24

x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e)

the slope of the given equation is -0.5. the equation has been given in slope-intercept form. thus the slope is simply the coefficient of x.

joe's balance will reduce by 0.5 for every game that he plays. this is the interpretation of the slope.

f)

domain is the set of x values for which the function is real and defined. the domain will thus be; [0,24]. this will restrict the balance to only assume positive values.

on the other hand, the range is the set of y values for which a function is real and defined. the range in our case will be [0,12]. joe can have between $0 and $12 balance.

g)

the standard form of the equation of a straight line is;

ax + by = c

where a, b, and c are integers.

our equation is given as;

y = -.50x + 12

re-writing the equation we have;

0.5x + y = 12

divide all through by 0.5;

x + 2y = 24

21.4 i did it already for s1

step-by-step explanation: