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3 years ago

Given that

Mathematics

1 answer:

zloy xaker [14]3 years ago

4 0

g(x) = f(x) + 9 shifts it up 9 units.

g(x) = f(x+2) shifts it left 2 units.

g(x) = -f(x) reflects it across the x-axis.

It looks like you may want

... g(x) = -(f(x+2) +9) . . . . . shifted up, then reflected

$g(x)=-\left(5^{(x+2)}+9\right)$

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The waking time of a student under common conditions is normally distributed with mean of 30 hours and a standard deviation of 5

Elina [12.6K]

Answer:

If the walking time is greater than or equal to 38.225 hours, than it exceeds 95% probability that is lie in top 5%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 30 hours

Standard Deviation, σ = 5 hours

We are given that the distribution of waking time is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.95

$P( X < x) = P( z < \displaystyle\frac{x - 30}{5})=0.95$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 30}{5} = 1.645\\\\x = 38.225$

Thus, if the walking time is greater than or equal to 38.225 hours, than it exceeds 95% probability that is lie in top 5%.

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