A sound wave travels at 330m/s and has a wavelength of 2 m. calculate its frequency and period.
1 answer:
Answer:
frequency= 165Hz
period=
Step-by-step explanation:
1. To calculate the frequency using the formula:
f = v/λ
where,
f=frequency (what the question asked)
v=speed of wave (given in the question=330m/s)
λ=wavelength (given in the question=2m)
SO,
= 165Hz
2. To calculate the period use the formula:
since
therefore,
where,
f= frequency (what we solved above=165Hz)
T= period (what the question asked)
SO,
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Answer:
a)
And we can find this probability with this difference:
And using the norma standard distribution or excel we got:
b)
And using the complement rule we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Part a
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with this difference:
And using the norma standard distribution or excel we got:
Part b
For this case we want this probability:
And we can use the z score and we got:
And using the complement rule we got: