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1 answer:
Answer:
x = - 3 and x = - 4
Step-by-step explanation:
(a)
The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.
solve x + 3 = 0 ⇒ x = - 3
(b)
Equate f(x) to 5, that is
= 5 ( cross- multiply )
5(x + 3) = 2x + 3 ( distribute left side )
5x + 15 = 2x + 3 ( subtract 2x from both sides )
3x + 15 = 3 ( subtract 15 from both sides )
3x = - 12 ( divide both sides by 3 )
x = - 4
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Answer:
61% of the time a person will wait at least 1.872 seconds before the wave crashes in.
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.
Uniform distribution from 0 to 4.8 seconds.
This means that
61% of the time a person will wait at least how long before the wave crashes in?
This is the 100 - 61 = 39% percentile, which is x for which . So
61% of the time a person will wait at least 1.872 seconds before the wave crashes in.
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seconds to reach its maximum height.
The maximum height is
feet.
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