Mark is playing a video game in which he has a 25% chance of winning. He wants to know the probability of it taking at least three games for him to win. Which simulation can best be used to compute the probability? A. Model C: Use a standard deck of cards. Randomly draw one card from the deck. After the card is drawn, replace it and reshuffle the deck. For one trial, draw a card three times from the deck. Count the trial if, only on the third draw, the card is a heart. Repeat the process for 200 trials. B. Model A: Use a spinner with four different colors of equal area. For one trial, spin the spinner until it lands on yellow. Count the trial if the spinner lands on yellow during the third spin or later. Repeat this process for 100 trials. C. Model B: Use a standard six-sided die. For one trial, roll the die until it lands on a 1. Count the trial if the die lands on a 1 during the third roll or later. Repeat this process for 30 trials. D. Model D: Flip a coin. For one trial, flip the coin three times. Count the trial if, only on the third flip, it is heads. Repeat this process for 50 trials.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

his chances of getting a coin of higher value is 4/19

step-by-step explanation: