For all the preblems in this assignment you must enter your answers as a fraction or a preduct of fractions. For example, if your answer is 4/52 3/51 or 1-13/52 12/51, leave it in that feem using to indicate multiplication andA to indicate raising a number to a certain power. (eg. (5/6)^3 means 5/6 5/6 5/6 or (5/6) a. Draw 2 cards at random with replacement. What is the chance that the first is a heart and the second is a heart suom Anaw Tries 0/3 b. Draw 2 cards at random without replacement. What is the chance that the first is a heart and the second is a heart? Submit AnerTries 0/3 Draw 2 cards at randem with replacement. What is the chance thet the first is king and the second is a king? sbmt An Tries 0/3 d. Draw 2 cards at random without replacement. What is the chance that the first is king and the second is a king Subm A Tries 0/3 If you have treuble with the next 3 problems try watching this video. e. Draw two cands at randem without replacement. What is the chance of getting no kings Su Aer Tries 0/3 . Draw two cards et random without replacement What is the chance of getting at least one king? (Hint: try the problems first on the next page first) Sub An Tries 0/s g. Draw two cards at random without replacement What is the chance of not getting all kings

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step-by-step explanation:

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

the answer is d

step-by-step explanation: