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suter [353]
2 years ago
13

An airline offers a survey for its passengers to complete after every flight. Each time a passenger completes the survey, there

is a
2
%
2%2, percent chance they will win a discounted price on their next flight. Assume that winners are selected at random, and the results of the surveys are independent.
Zaylee has numerous trips planned with this airline, and she'll always complete each survey in hopes of winning. Let
N
NN be the number of surveys Zaylee completes until she wins for the first time.
Find the probability that it takes Zaylee
3
33 surveys or less to win for the first time.
You may round your answer to the nearest hundredth.
P
(
N
≤
3
)
=
P(N≤3)=P, left parenthesis, N, is less than or equal to, 3, right parenthesis, equals
Mathematics
1 answer:
Marianna [84]2 years ago
3 0

ĉu ne, ĉu ne, sorore kaj eĉ ne sendante mesaĝojn al mi?

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If you are 600 m from a batter when you see him hit a ball, how long will you wait to hear the sound of the bat hitting the ball
Molodets [167]

Answer:

<em>The speed of sound at 20°C is 343.42 m/s.</em>

<em>You have to wait 1.75 seconds to hear the sound of the bat hitting the ball</em>

Step-by-step explanation:

<u>Speed of Sound</u>

The speed of sound is not constant with temperature. Generally speaking, the greater the temperature, the greater the speed of sound.

The approximate speed of sound in dry air at temperatures T near 0°C is calculated from:

\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot T )~~~\mathrm {m/s}

The air is at T=20°C, thus the speed of sound is:

\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot 20 )~~~\mathrm {m/s}

v_{\mathrm {s} }=343.42\ m/s

The speed of sound at 20°C is 343.42 m/s.

To calculate the time to hear the sound after the batter hits the ball, we use the formula of constant speed motion:

\displaystyle v=\frac{d}{t}

Where d is the distance and t is the time. Solving for t:

\displaystyle t=\frac{d}{v}

Substituting the values v=343.42 m/s and d=600 m:

\displaystyle t=\frac{600}{343.42}

t = 1.75 s

You have to wait 1.75 seconds to hear the sound of the bat hitting the ball

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