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slava [35]
4 years ago
13

PLEASE HELPPPPPPPPPPPPP

Mathematics
1 answer:
wel4 years ago
4 0
Using SOH (Sin=Opposite/Hypotenuse)
Opposite of 20 degrees is the side labeled x. 8 is the hypotenuse.
Sin(20)=x/8
Put Sin(20) into a calculator. (You should get 0.3420)
Start with 0.3420 = x/8
Then swap sides x/8 = 0.3420
Multiply both sides by 8
x = 0.3420 x 8
x = 2.736
Your answer would be sin20 times 8
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3 0
3 years ago
In a lottery game, a player picks six numbers from 1 to 21. If the player matches all six numbers, they win 40,000 dollars. Othe
Darina [25.2K]

Answer:

The expected value of this game is -$0.26.

Step-by-step explanation:

Expected value:

Each possible earning/loss multiplied by it's probability.

Probability:

Number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the numbers are chosen is not important. So we use the combinations formula to solve.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Probability of winning:

Desired outcomes:

The 6 correct numbers, so D = 6

Total outcomes:

6 numbers from a set of 21. So

T = C_{21,6} = \frac{21!}{6!15!} = 54264

Probability:

p = \frac{1}{54265}

Expected value

\frac{1}{54265} probability of earning 40,000.

\frac{54264}{54265} probability of losing 1. So

E = \frac{40,000}{54265} - \frac{54264}{54265} = -0.26

The expected value of this game is -$0.26.

7 0
3 years ago
120% of what number is 20.4
NeTakaya
20.4÷120=0.17
0.17×100=17
8 0
3 years ago
(10 - 6i)/(2 + 8i) =?
Oliga [24]
<span>-0.411764706 - 1.35294118 i</span>
5 0
3 years ago
(6,5) what is b y=mx+b
PolarNik [594]

Answer:

b = y-intercept

Step-by-step explanation:

7 0
3 years ago
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