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rewona [7]
3 years ago
11

Find sing and sin G. 96 28 100

Mathematics
1 answer:
Helga [31]3 years ago
5 0

Answer:

Sin F = 0.96

Sin G = 0.28

Step-by-step explanation:

sin (Q) = perpendicular / hypotenuse

<em>i</em><em> </em><em>hope</em><em> </em><em>it</em><em> </em><em>helped</em>

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A player of a video game is confronted with a series of four opponents and an 80% probability of defeating each opponent. Assume
mixer [17]

Answer:

(a) 0.4096

(b) 0.64

(c) 0.7942

Step-by-step explanation:

The probability that the player wins is,

P(W)=0.80

Then the probability that the player losses is,

P(L)=1-P(W)=1-0.80=0.20

The player is playing the video game with 4 different opponents.

It is provided that when the player is defeated by an opponent the game ends.

All the possible ways the player can win is: {L, WL, WWL, WWWL and WWWW)

(a)

The results from all the 4 opponents are independent, i.e. the result of a game played with one opponent is unaffected by the result of the game played with another opponent.

The probability that the player defeats all four opponents in a game is,

P (Player defeats all 4 opponents) = P(W)\times P(W)\times P(W)\times P(W)=[P(W)]^{4} =(0.80)^{4}=0.4096

Thus, the probability that the player defeats all four opponents in a game is 0.4096.

(b)

The probability that the player defeats at least two opponents in a game is,

P (Player defeats at least 2) = 1 - P (Player losses the 1st game) - P (Player losses the 2nd game) = 1-P(L)-P(WL)

                                    =1-(0.20)-(0.80\times0.20)\\=1-0.20-0.16\\=0.64

Thus, the probability that the player defeats at least two opponents in a game is 0.64.

(c)

Let <em>X</em> = number of times the player defeats all 4 opponents.

The probability that the player defeats all four opponents in a game is,

P(WWWW) = 0.4096.

Then the random variable X\sim Bin(n=3, p=0.4096)

The probability distribution of binomial is:

P(X=x)={n\choose x}p^{x} (1-p)^{n-x}

The probability that the player defeats all the 4 opponents at least once is,

P (<em>X</em> ≥ 1) = 1 - P (<em>X</em> < 1)

             = 1 - P (<em>X</em> = 0)

             =1-[{3\choose 0}(0.4096)^{0} (1-0.4096)^{3-0}]\\=1-[1\times1\times (0.5904)^{3}\\=1-0.2058\\=0.7942

Thus, the probability that the player defeats all the 4 opponents at least once is 0.7942.

3 0
3 years ago
Hong's gas tank is 1/2 full. After he buys 5 gallons of gas, it is 5/6 full. How many gallons can Hong's tank hold?
quester [9]

Answer:

I'm pretty sure your answer would be B.

Step-by-step explanation:

5 0
3 years ago
Molly has 3 dresses, 2 hats, and 5 pairs of shoes she will chose an outfit with one dress 1 hat and 1 pair of shoes how many dif
Tema [17]

Answer:

6 different possible outfits

Step-by-step explanation:

6 0
3 years ago
A furniture store makes two types of chairs: rockers and swivels. To make a rocker, the store must run machine A for 2 hours and
grigory [225]

Answer: yo 7

Step-by-step explanation:

4 0
3 years ago
PLEASE HELP! A collection of nickels and quarters has a total value of three dollars and contains 32 coins. Which of the followi
coldgirl [10]

Answer:

The second equation B is correct

Step-by-step explanation:

N + Q = 32 and .5N + .25Q = 3.00

unlike the other equations this equation has the correct input for how much a quarter and nickel are worth relevant to the dollar amount rather than the coin amount.

8 0
3 years ago
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