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elena55 [62]
1 year ago
5

the graph of a function f is given. use the graph to answer the questions.find the numbers, if any, at which f has a relative mi

nimum. what are the relative minima?

Mathematics
1 answer:
Fynjy0 [20]1 year ago
3 0

From the graph, the point at which the function of the graph have relative minimum is

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Take off 3 of the pennies and the 5 that remain would be 3 nickels and 2 dimes

2 dimes=20 cents

3 nickels = 15 cents

3 pennies=3 cents

Or these 8 coins = 38 cents

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3 years ago
A truck travels 2,400 miles in 60 hours, going the same distance each hour.
expeople1 [14]
2400miles/60hours
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27. The average hourly wage of workers at a fast food restaurant is $7.25/hr
morpeh [17]

Answer:

0.0668 = 6.68% probability that the worker earns more than $8.00

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The average hourly wage of workers at a fast food restaurant is $7.25/hr with a standard deviation of $0.50.

This means that \mu = 7.25, \sigma = 0.5

If a worker at this fast food restaurant is selected at random, what is the probability that the worker earns more than $8.00?

This is 1 subtracted by the pvalue of Z when X = 8. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{8 - 7.25}{0.5}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

1 - 0.9332 = 0.0668

0.0668 = 6.68% probability that the worker earns more than $8.00

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3 years ago
Y = 3 sin2x, y = 0, 0 ≤ x ≤ π; about the x−axis
Dominik [7]
I assume you're revolving the region with those bounds about the x-axis, and supposed to find the volume.

Via the disk method,

\displaystyle\pi\int_0^\pi(3\sin2x)^2\,\mathrm dx=9\pi\int_0^\pi\sin^22x\,\mathrm dx

Recall the half-angle identity for sine:

\sin^2t=\dfrac{1-\cos2t}2
\implies\displaystyle\frac{9\pi}2\int_0^\pi(1-\cos4x)\,\mathrm dx
=\displaystyle\frac{9\pi}2\left(x-\frac14\sin4x\right)\bigg|_{x=0}^{x=\pi}
=\dfrac{9\pi^2}2
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Which expression is equivalent to 4 (x+3)?
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Answer:

B

Step-by-step explanation:

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