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Rashid [163]
3 years ago
12

Players at carnival game win about 30% of the time. Based on your simulation, what is the experimental probability that the next

four players will win
Mathematics
1 answer:
Dovator [93]3 years ago
8 0
To have the next four players win, we would need to have the 30% chance to win occur four times in a row. This means that we should multiply the probability of success by itself the number of times we want a win to occur:
P=\frac{3}{10}*\frac{3}{10}*\frac{3}{10}*\frac{3}{10}=\frac{81}{10000}=0.0081
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Choose Yes or No to tell if the decimal 0.43 will make each equation true.
Ulleksa [173]

Answer:

None will .

Step-by-step explanation:

103 × 0.43 = 44.29

101 × 0.43 = 43.43

104 × 0.43 = 44.72

102 × 0.43 = 48.86

3 0
3 years ago
Solve 5y'' + 3y' – 2y = 0, y(0) = 0, y'(O) = 2.8 y(t) =( Preview
Karolina [17]

Answer:

y=\frac{4}{5}e^{t}-\frac{4}{5}e^{-\frac{2}{5}t}

Step-by-step explanation:

The given equation 5y'' + 3y' - 2y =0 can be written as

(5D^{2}+3D-2)y(t)=0

Solving for complementary function we have Roots of (5D^{2}+3D-2) as follows

(5D^{2}+5D-2D-2)

5D(D+1)-2(D+1)=0\\\\(5D-2)(D+1)=0\\\\\therefore D=-1\\D=+2/5

Thus the complementary function becomes

y=y=c_{1}e^{m_{1}t}+c_{2}e^{m_{2}t}

where

m_{1},m_{2} are calculated roots

thus solution becomes

y=c_{1}e^{-t}+c_{2}e^{\frac{2}{5}t}

Now to solve for the coefficients we use the given boundary conditions

y(0)=0\\\\\therefore c_{1}+c_{2}=0\\\\y'(0)=-c_{1}+\frac{2}{5}c_{2}=2.8\\\\\therefore c_{2}+\frac{2}{5}c_{2}=2.8\\\\c_{2}=2\\\\\therefore c_{1}=-2}

hence the solution becomes

y=-2e^-{t}+2e^{\frac{2}{5}t}

8 0
3 years ago
Karl starts the engine on his small private airplane. The engine drives a propeller with a radius of 9 feet and its centerline 1
sukhopar [10]

Answer:

  • 3.68 feet using given equation (wrong)
  • 12.5 feet using correct equation

Step-by-step explanation:

You can use the given (incorrect) equation and fill in the value of t to find h:

  h = 12.5 +9sin(750(3.5)) = 3.68 . . . . feet

__

Or, you can use the correct equation, or just your knowledge of revolutions:

  h = 12.5 +9sin(750(2π·3.5)) = 12.5 . . . . feet

in 3.5 minutes at 750 revolutions per minute, the propeller makes 2625 <em>full revolutions</em>, so is back where it started — at 12.5 feet above the ground.

4 0
3 years ago
Read 2 more answers
A square pyramid how many number of faces?<br> A. 5<br> B. 6<br> C. 7<br> D. 8
Afina-wow [57]

Answer:

I believe a pyramid has A. 5 faces

4 0
3 years ago
Read 2 more answers
40% of a 12,000 acre forest is being logged how many acres will be logged
Korvikt [17]
12000 x 0.40 = 4800

12000 - 4800 = 7200

7200 acres are being logged

hope this helps
3 0
3 years ago
Read 2 more answers
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