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4 years ago

What is the average rate of change over the interval [-2,0] for the graph?

Mathematics

1 answer:

Kisachek [45]4 years ago

3 0

$A_r = \frac{\triangle y }{\triangle x} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - (-3)}{4 -(-3)} = \frac{1}{7}$

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The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated b

storchak [24]

Answer:

A task time of 177.125s qualify individuals for such training.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

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

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

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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

A distribution that can be approximated by a normal distribution with a mean value of 145 sec and a standard deviation of 25 sec, so $\mu = 145, \sigma = 25$ .

The fastest 10% are to be given advanced training. What task times qualify individuals for such training?

This is the value of X when Z has a pvalue of 0.90.

Z has a pvalue of 0.90 when it is between 1.28 and 1.29. So we want to find X when $Z = 1.285$ .

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

$1.285 = \frac{X - 145}{25}$

$X - 145 = 32.125$

$X = 177.125$

A task time of 177.125s qualify individuals for such training.

7 0

3 years ago

3 regions are defined in the figure find the volume generated by rotating the given region about the specific line

anastassius [24]

The volume generated by rotating the given region $R_{3}$ about OC is $\frac{4}{g} \pi$

<h3>Washer method</h3>

Because the given region ( $R_{3}$ ) has a look like a washer, we will apply the washer method to find the volume generated by rotating the given region about the specific line.

solution

We first find the value of x and y

$y=2(x)^{\frac{1}{4} }$

$x=(\frac{y}{2} )^{4}$

$y=2x$

$x=\frac{y}{2}$

$\int\limits^a_b {\pi } \, (R_{o^{2} } - R_{i^{2} } ) dy$

$R_{o} = x = \frac{y}{2}$

$R_{i} = x= (\frac{y}{2}) ^{4}$

$a=0, b=2$

$v= \int\limits^2_o {\pi } \, [(\frac{y}{2})^{2} - ((\frac{y}{2}) ^{4} )^{2} ) dy$

$v= \pi \int\limits^2_o= [\frac{y^{2} }{4} - \frac{y^{8} }{2^{8} }} ] dy$

$v= \pi [\int\limits^2_o {\frac{y^{2} }{4} } \, dy - \int\limits^2_o {\frac{y}{2^{8} } ^{8} } \, dy ]$

$v=\pi [\frac{1}{4} \frac{y^{3} }{3} \int\limits^2_0 - \frac{1}{2^{8} } \frac{y^{g} }{g} \int\limits^2_o\\v= \pi [\frac{1}{12} (2^{3} -0)-\frac{1}{2^{8}*9 } (2^{g} -0)]\\v= \pi [\frac{2}{3} -\frac{2}{g} ]\\v= \frac{4}{g} \pi$

A similar question about finding the volume generated by a given region is answered here: brainly.com/question/3455095

6 0

2 years ago

A giraffe can run 40 meters per second what is its speed in miles per hour

lora16 [44]

Bearing in mind that, there are

60 seconds in 1 minute,
60 minutes in 1 hr,
1000 meters in 1 km,
and 1.609 km in 1 mile

$\bf \cfrac{40\underline{m}}{\underline{s}}\cdot \cfrac{60\underline{s}}{\underline{min}}\cdot \cfrac{60\underline{min}}{hr}\cdot \cfrac{\underline{km}}{1000\underline{m}}\cdot \cfrac{mi}{1.609\underline{km}}\implies \cfrac{40\cdot 60\cdot 60\cdot mi}{hr\cdot 1000\cdot 1.609}
\\\\\\
\cfrac{144000mi}{1609hr}\approx 89.496581\frac{mi}{hr}$

6 0

3 years ago

Is the association between x and y positive or negative?<br> A. none B.positive C, negative

Vinvika [58]

Answer:

A.non at all so, please choose the right answer

8 0

3 years ago

Read 2 more answers

How long will it take a seal swimming at a speed of 8 miles per hour to travel 52 miles

Olin [163]

$8\ miles\ per\ 1\ hour\\
52\ miles\ per\ x\ hour\\\\
proportion:\\
8-1\\52-x\\\\cross\ multiplication\\\\
8x=52\ \ \ | divide\ by\ 8\\\\
x=6.5\\\\
It\ will\ take\ 6.5\ hours.$

7 0

3 years ago

What is the average rate of change over the interval [-2,0] for the graph?​

What is the average rate of change over the interval [-2,0] for the graph?