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Firlakuza [10]
2 years ago
13

Select following expressions that are equivalent to 10.

Mathematics
1 answer:
kotykmax [81]2 years ago
6 0

Answer:

5

Step-by-step explanation:

1,2,5

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You play two games against the same opponent. The probability you win the first game is 0.4. If you win the first game, the prob
Ilia_Sergeevich [38]

Answer:

a) No

b) 42%

c) 8%

d) X               0                 1                2

   P(X)           42%            50%         8%

e) 0.62

Step-by-step explanation:

a) No, the two games are not independent because the the probability you win the second game is dependent on the probability that you win or lose the second game.

b) P(lose first game) = 1 - P(win first game) = 1 - 0.4 = 0.6

P(lose second game) = 1 - P(win second game) = 1 - 0.3 = 0.7

P(lose both games) = P(lose first game)  × P(lose second game) = 0.6 × 0.7 = 0.42 = 42%

c)   P(win first game)  = 0.4

P(win second game) = 0.2

P(win both games) = P(win first game)  × P(win second game) = 0.4 × 0.2 = 0.08 = 8%

d) X               0                 1                2

   P(X)           42%            50%         8%

P(X = 0)  =  P(lose both games) = P(lose first game)  × P(lose second game) = 0.6 × 0.7 = 0.42 = 42%

P(X = 1) = [ P(lose first game)  × P(win second game)] + [ P(win first game)  × P(lose second game)] = ( 0.6 × 0.3) + (0.4 × 0.8) = 0.18 + 0.32 = 0.5 = 50%

e) The expected value  \mu=\Sigma}xP(x)= (0*0.42)+(1*0.5)+(2*0.08)=0.66

f) Variance \sigma^2=\Sigma(x-\mu^2)p(x)= (0-0.66)^2*0.42+ (1-0.66)^2*0.5+ (2-0.66)^2*0.08=0.3844

Standard deviation \sigma=\sqrt{variance} = \sqrt{0.3844}=0.62

8 0
3 years ago
Find the area of the circle. Use 3.14 for Pi
IceJOKER [234]

Answer:

113.04 cm squared

Step-by-step explanation:

the area of a circle is:

A=πr2

so as you written before the pi must be 3.14

and the radius is the diameter/2(12/2=6)

A= 3.14 x 6 x 6

A= 113.04 cm squared

3 0
3 years ago
Read 2 more answers
Liz has a 24 inch long ribbon she cuts nine 2 inch pieces from her original ribbon how much of the original ribbon is left?
wel
If she cut off nine pieces of 2-inch ribbon, in all, that would be 18. After that, it would simply be the matter of subtracting 24 and 18.

24 - 18 = 6.

And there's your answer. Liz has 6 inches of ribbon left.
8 0
2 years ago
Read 2 more answers
Mark put his dog on a diet. The dog's total weight change for the first two weeks was -3/4 pound. The dog lost the same amount o
saw5 [17]
The change in the first week is .375 pounds =. Divide 3/4 by 2
8 0
3 years ago
What is the surface area of the cylinder with height 4m and radius 2m? Round your answer to the nearest thousandth.
Artyom0805 [142]

Answer:

50.265m^3

Step-by-step explanation:

because the formula for solving this problem is πr^2•height and then to finish solving it would have to be put into cubed as it's 3d

3 0
3 years ago
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