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7nadin3 [17]
3 years ago
12

The functions q and r are defined as follows.

Mathematics
1 answer:
UkoKoshka [18]3 years ago
3 0
Q(3) = -2(3)+2 = -4
r(q(3)) = (-4)^2-1 = 15
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​A manager wants to know if the mean productivity of two workers is the same. For a random selection of 30 hours in the past​ mo
vekshin1

Answer:

A.The data should be treated as paired samples. Each pair consists of an hour in which the productivity of the two workers is compared.

Explanation:

If the mean productivity of two workers is the same.

For a random selection of 30 hours in the past month, the manager compares the number of items produced by each worker in that hour.

There are two samples and the productivity of the two men is paired for each hour.

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3 years ago
What is the derivative of the function below?
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g(x)=4x-\dfrac{1}{4x}=4x-(4x)^{-1}\\\\\\\\g'(x)=\left[4x-(4x)^{-1}\right]'=(4x)'-\left[(4x)^{-1}\right]'=4-[-1(4x)^{-2}]\cdot4\\\\=4+\dfrac{1}{(4x)^2}\cdot4=4+\dfrac{4}{4^2x^2}=\boxed{4+\dfrac{1}{4x^2}}\\\\Used:\\\\(f(x)-g(x))'=f'(x)-g'(x)\\\\.[f(g(x))]'=f'(g(x))\cdot g'(x)\\\\(x^n)'=nx^{n-1}

8 0
2 years ago
Ivanka has a ribbon that is 4.5 inches long. Michal has a ribbon that is 3 1/10 times the length of ivanka’s ribbon. How long is
ddd [48]

Answer:

6.30

Step-by-step explanation:

Ivanka’s ribbon = 4.5 inches long

Michal’s ribbon is 3 1/2 times ivanka’s

Therefore,

Michal’s = 3 1/2 x 4.5

= 7/5 x 4.5

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3 0
3 years ago
Select the term that best describes the statement A triangle is acute provided all the angles have a measure of less than 90 deg
Aloiza [94]
I think the correct answer is conjunction...
4 0
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The following information was collected on 20 randomly chosen high school students, which compared their IQ score to musical apt
Mashcka [7]

Answer:

Y = 0.4925X - 22.26 ;

(-12.413, 13.398) ;

Yes, there is

Step-by-step explanation:

X = IQ Score ; Y = musical aptitude

The regression equation from the table given using the slope and intercept coefficient :

Y = 0.4925X - 22.26

0.4925 = slope ; Intercept = - 22.26

The 95% confidence interval of the slope :

Confidence interval = b ± Tcritical*SE

Tcritical at 95%, df = n - 2 = (20 - 2) = 18

Tcritical = 2.1009

b = slope Coefficient = 0.4925

S.E = 6.143

Hence, we have :

Confidence interval = 0.4925 ± (2.1009 * 6.143)

Confidence interval = 0.4925 ± 12.9058287

Lower boundary = 0.4925 - 12.9058287 = - 12.413

Upper boundary = 0.4925 + 12.9058287 = 13.398

(-12.413, 13.398)

There is a significant relationship between IQ score and musical aptitude because, 0 is within the confidence interval obtained.

6 0
3 years ago
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