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Naddik [55]
4 years ago
8

While at a carnival, Andrew comes across a game that involves rolling a die. According to the game's rules, if the number rolled

is even, the player wins dollars equivalent to two times the number. And if the number rolled is odd, the player loses $9. If Andrew rolls the die once, he can expect to win or lose? .5$? or a 1.5$?
Mathematics
1 answer:
Reptile [31]4 years ago
4 0

Answer:

he can expect to lose 0.5$

Step-by-step explanation:

To solve this problem we must calculate the expected value of the game.

If x is a discrete random variable that represents the gain obtained when rolling a dice, then the expected value E is:

E =\sum xP (x)

When throwing a dice the possible values are:

x: 1→ -$9;  2→ $4;  3→ -$9;  4→ $8;  5→ -$9;  6→ $12

The probability of obtaining any of these numbers is:

p=\frac{1}{6}

The gain when obtaining an even number is twice the number.

The loss to get an odd number is $ 9

So the expected gain is:

E=-9*\frac{1}{6}-9*\frac{1}{6}-9*\frac{1}{6} + 4*\frac{1}{6} + 8*\frac{1}{6} + 12*\frac{1}{6}\\\\E =-27*\frac{1}{6} + 24*\frac{1}{6}\\\\E=-3*\frac{1}{6}\\\\E=-$0.5

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Step-by-step explanation:

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6 0
3 years ago
A savings account earns 8% interest each year, compounded quarterly (4 times a year). If a person invests $100 and make no furth
kenny6666 [7]
<h3>The balance in account after 3 years is $ 126.82</h3>

<em><u>Solution:</u></em>

<em><u>The formula for compound interest, including principal sum, is:</u></em>

A = p(1+\frac{r}{n})^{nt}

Where,

A = the future value of the investment

P = the principal investment amount

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested

From given,

p = 100

t = 3 years

r = 8 % = 8/100 = 0.08

n = 4 times

Therefore,

A = 100(1 + \frac{0.08}{4})^{4 \times 3}\\\\A = 100( 1 + 0.02)^{12}\\\\A = 100(1.02)^{12}\\\\A = 100 \times 1.2682\\\\A = 126.82

Thus the balance in account after 3 years is $ 126.82

3 0
3 years ago
The answer I need help
ExtremeBDS [4]

Answer:

The masses of the objects and the distance between them.

Step-by-step explanation:

The equation states:

F=G\frac{m_{1}m_{2}}{r^2}

m_{1} and m_{2} is the masses of the objects

r is the distance between the center of their masses.

8 0
4 years ago
12(3-2x)=84 solve for x.
OlgaM077 [116]
12(3-2x) = 84

do distributive multiplication:

12(3) + 12(-2x) = 84
36 - 24x = 84

Deduct 36 to both sides

36 - 36 - 24x = 84 - 36
-24x = 48

divide -24 to both sides

-24x / -24 = 48/-24
x = -2

To check:
12(3-2x) = 84
12(3-2(-2) = 84
12(3+4) = 84
12(7) = 84
84 = 84
7 0
4 years ago
Read 2 more answers
For each situation below, complete the table for the values given and the unit rate.
Ksivusya [100]

Answer:

2 = 5

5 = 12.50

4 = 10

7 = 17.50

6 = 15

9 = 22.50

11 = 27.50

Step-by-step explanation:

a

8 0
3 years ago
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