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Papessa [141]
3 years ago
11

LeBron James is a very popular professional basketball player in the US. Each game, players can commit a maximum of 666 personal

fouls. Let's define the random variable FFF as the number of personal fouls LeBron James committed in a randomly chosen game from the 2016-2017 season. Here's the partially completed probability distribution of FFF. FF
F 000 111 222 333 444 555 666 P(F)P(F)P, left parenthesis, F, right parenthesis 0.150.150, point, 15 0.270.270, point, 27 0.350.350, point, 35 0.150.150, point, 15 0.040.040, point, 04 0.010.010, point, 01 \text{?}?start text, question mark, end text Find the missing probability in the table. P\left(F=6\right)=P(F=6)=P, left parenthesis, F, equals, 6, right parenthesis, equals
Mathematics
1 answer:
andrezito [222]3 years ago
4 0

Answer:

0.03

Step-by-step explanation:

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"Suppose an object falling in the atmosphere has mass m=15kg and the drag coefficient is γ=9kg/s. Recall that the differential e
Art [367]

Answer:

a. v(t)= -6.78e^{-16.33t} + 16.33 b. 16.33 m/s

Step-by-step explanation:

The differential equation for the motion is given by mv' = mg - γv. We re-write as mv' + γv = mg ⇒ v' + γv/m = g. ⇒ v' + kv = g. where k = γ/m.Since this is a linear first order differential equation, We find the integrating factor μ(t)=e^{\int\limits^  {}k \, dt } =e^{kt}. We now multiply both sides of the equation by the integrating factor.

μv' + μkv = μg ⇒ e^{kt}v' + ke^{kt}v = ge^{kt} ⇒ [ve^{kt}]' = ge^{kt}. Integrating, we have

∫ [ve^{kt}]' = ∫ge^{kt}

    ve^{kt} = \frac{g}{k}e^{kt} + c

    v(t)=   \frac{g}{k} + ce^{-kt}.

From our initial conditions, v(0) = 9.55 m/s, t = 0 , g = 9.8 m/s², γ = 9 kg/s , m = 15 kg. k = y/m. Substituting these values, we have

9.55 = 9.8 × 15/9 + ce^{-16.33 * 0} = 16.33 + c

       c = 9.55 -16.33 = -6.78.

So, v(t)=   16.33 - 6.78e^{-16.33t}. m/s = - 6.78e^{-16.33t} + 16.33 m/s

b. Velocity of object at time t = 0.5

At t = 0.5, v = - 6.78e^{-16.33 x 0.5} + 16.33 m/s = 16.328 m/s ≅ 16.33 m/s

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Answer:

the answer is 2

Step-by-step explanation:

1/2 plus 1 is 1 1/2 then add another 1/2

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