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prisoha [69]
3 years ago
5

Use the function below to find F(4)F(x)=5•(1/3)^x

Mathematics
1 answer:
elena-s [515]3 years ago
4 0

Answer:

\frac{5}{81}

Step-by-step explanation:

To evaluate f(4) substitute x = 4 into f(x)

f(4) = 5 × (\frac{1}{3 )} ^{4} = 5 × \frac{1}{3^{4} } = \frac{5}{81}

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Answer:

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Step-by-step explanation:

(a)

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P ( that all three apples are green)

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(b)

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P(that no three apple is red)= 1−0.082 = 0.918

c)

P(of selecting 4 apple that contain at least 2 red apples)

= (limit 8 and 2) /( limit 17 and 2) X (2/15) + (limit 8 and 3) /(limit 17 / 3) X (1/14)

= (7/34) × (2/15) + (7/85) × (1/14)

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d)

P(that the second apple selected is yellow given that the first apple is red)

= (limit 5 and 1) / ( limit 16 and 1)

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Answer:

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Step-by-step explanation:

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3 years ago
5. During the eruption of Mount St. Helens in 1980. debris was ejected at a speed of over 440 feet per second
skelet666 [1.2K]

Answer:

  3500 ft

Step-by-step explanation:

We assume you intend the equations to be ...

y(t)=-16t^2+425t+8200\\x(t)=113t

Then we can solve the second equation for t and use that in the first equation. We can solve the first equation for y=6000.

  x = 113t

  t = x/113

  y(t) = y(x/113) = -16(x/113)² +425(x/113) +8200 = 6000

  (16/12769)x² -(425/113)x -2200 = 0 . . . . . . subtract 6000, multiply by -1

Using the quadratic formula, the positive solution is ...

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The fraction in the denominator can be inverted and used as a multiplier. We also use a√b = √(a²b) to simplify the radical.

  x = (48025 +√4104275825)/32

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Rock was thrown about 3500 feet horizontally.

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3 years ago
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