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Colt1911 [192]
2 years ago
6

Mariah is playing a simple game of dice. For every 1, 4, or 6 rolled, Mariah will

Mathematics
1 answer:
Verdich [7]2 years ago
3 0

Answer:

Correct option: B -> win $1

Step-by-step explanation:

Mariah will win for the values of 1, 4 or 6.

These are 3 out of 6 possible values of the die, so the probability of winning is 3/6 = 50%, and the probability of losing is 100% - 50% = 50%

The expected value for winning cases is the value times the probability, so:

E(win) = 4 * 0.5 = 2

The expected value for losing cases is:

E(lose) = -2 * 0.5 = -1

So the final expected money is:

E(total) = E(win) + E(lose) = 2 - 1 = 1

So she can expect to win $1

Correct option: B

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What is the equation of the line that passes through the points (-4,1) and (4-1)
Nitella [24]

Answer:

y=-1/4x

Step-by-step explanation:

METHOD 1: The basic slope-intercept equation is <em>y=ax+b</em>. To achieve the slope with two points, this is the equation:

m = \frac{y2-y1}{x2-x1}

All you have to do is insert points (-4, 1) and (4, -1) into their corresponding locations.

m = \frac{(-1)-1}{4-(-4)}

With this equation, you will be able to find the slope. Then you can simply graph it to connect the two dots.

METHOD 2: Simply connect the two dots with a straight line (use a ruler or something with a straight edge.) Then count how many spaces up/down and left/right. If the line goes from top to bottom from left to right, it is a negative slope (hence, the -1/4.)

7 0
3 years ago
The length of a rectangular garden ABCD is 9 feet more than its width. It is surrounded by a brick walkway 4 feet wide as shown
Anna71 [15]

Answer:

  16.5 ft by 25.5 ft

Step-by-step explanation:

Let w represent the width of the garden in feet. Then w+9 is the garden's length, and w(w+9) represents its area.

The surrounding walkway adds 8 feet to each dimension, so the total area of the garden with the walkway is ...

  (w+8)(w+9+8) = w^2 +25w +136

If we subtract the area of the garden itself, then the remaining area is that of the walkway:

  (w^2 +25w +136) - (w(w+9)) = 400

  16w + 136 = 400 . . .simplify

  16w = 264 . . . . . . . . subtract 136

  264/16 = w = 16.5 . . . . . width of the garden in feet

  w+9 = 25.5 . . . . . . . . . . .length of the garden in feet

5 0
3 years ago
I need help with this. How does one make 4 DIFFERENT equations for the SAME four points.
vichka [17]

Answer:

You put a equal sign or if its one equation then put a addition or subtraction sign etc.

Step-by-step explanation:

6 0
3 years ago
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Gina and Rhonda work for different real estate agencies. Gina earns a monthly salary of $5,000 plus a 6% commission on her sales
KATRIN_1 [288]
The answer is
B $75,000
3 0
3 years ago
What is the value of k?<br><br> -3 ( k + 7 ) - 5k + 4 = 23
Digiron [165]

Answer: k = -5

explanation-

distribute: -3k + -21 - 5k + 4= 23

combine: -8k -17 = 23

add 17 to both sides: -8k = 40

divide both sides by -8: k=-5

6 0
3 years ago
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