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3 years ago

An earthquake causes a 3 kg book to fall from a shelf. If the book lands with a speed of 4.0 m/s, from what height did it fall?

1 answer:

6 0

Given:
3kg book
speed of falling of 4.0 m/s
acceleration due to gravity -9.8 m/s²

Vf² = Vi² + 2 * a * d

Vf = final velocity ; Vi = initial velocity ; a = acceleration ; d = distance

0² = (4 m/s)² + 2(-9.8m/s²) * d
0 = 16 m²/s² -19.6 m/s² * d
-16 m²/s² = -19.6 m/s² * d
-16 m²/s² / -19.6 m/s² = d
0.82 m = distance

The 3 kg book fell from the a shelf at the height of 0.82 meters.

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here is how to do it:

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Step-by-step explanation:

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2 years ago

Let x be the amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train. Suppose that the d

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Answer:

a) $P(X$

$P(X>14) = 1-P(X$

b) $P(7< X$

c) We want to find a value c who satisfy this condition:

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And using the cumulative distribution function we have this:

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And solving for c we got:

$c = 20*0.9 = 18$

Step-by-step explanation:

For this case we define the random variable X as he amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train, and we know that the distribution for X is given by:

$X \sim Unif (a=0, b =20)$

Part a

We want this probability:

$P(X$

And for this case we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a} = \frac{x-0}{20-0}= \frac{x}{20}$

And using the cumulative distribution function we got:

$P(X$

For the probability $P(X>14)$ if we use the cumulative distribution function and the complement rule we got:

$P(X>14) = 1-P(X$

Part b

We want this probability:

$P(7< X$

And using the cdf we got:

$P(7< X$

Part c

We want to find a value c who satisfy this condition:

$P(x$

And using the cumulative distribution function we have this:

$P(x$

And solving for c we got:

$c = 20*0.9 = 18$

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2 years ago

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ddd [48]

Amber leaves home at 8:10

6 0

2 years ago

Read 2 more answers

P-6 greater than or equal to 3

Sergio [31]

Answer:

p ≥ 9

Step-by-step explanation:

1. Put words into equation

p-6 greater than or equal to 3 = p-6≥3

2. Solve

p-6≥3

+6 +6

p≥9

I hope that helped!

3 0

3 years ago