A particular sound wave can be graphed using the function y = 1 sin 2x . Find the amplitude of the function.

2 answers:

8 0

Answer: 1

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The equation y = 1*sin(2x) is in the form y = a*sin(bx-c)+d
where
a = 1
b = 2
c = 0
d = 0
The value of 'a' determines the amplitude
amplitude = |a| = |1| = 1

Nata [24]3 years ago

3 0

Compare:

y = 1 sin 2x
y = a sin bx

You can see for yourself that a = 1. This is the "amplitude" of the function.

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In a certain clinical study, 15% of participants were classified as heavy smokers, 25% as light-smokers, and the rest as non-smo

Natasha_Volkova [10]

Answer:

There is a 28.57% probability that a randomly selected participant who died by the end of the study was a non-smoker.

Step-by-step explanation:

We have the following probabilities:

A 15% probability that a participant is classified as a heavy smoker.

A 25% probability that a participant is classified as a light smoker.

A 100% - 25% - 15% = 60% probability that a participant is classified as a non smoker.

A x% probability that a non smoker dies.

A 3x% probability that a light smoker dies.

A 5x% probability that a heavy smoker dies.

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

This problem is:

What is the probability of the participant being a non-smoker, given that he died?

P(B) is the probability that the participant is a non smoker. So

$P(B) = 0.6$