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babunello [35]
2 years ago
13

Please help..

Mathematics
1 answer:
dexar [7]2 years ago
8 0

9514 1404 393

Answer:

  (d)  2/3(11)

Step-by-step explanation:

The height of the cylinder is h=2r, so the volume of the cylinder in terms of radius is ...

  V = πr^2·h = πr^2·(2r) = 2πr^3

The volume of the sphere is given by the formula ...

  V = (4/3)πr^3

So, the ratio of the sphere volume to the cylinder volume is ...

  sphere volume / cylinder volume = ((4/3)πr^3)/(2πr^3) = (4/3)/2 = 2/3

That is, the sphere volume is ...

  sphere volume = (2/3) × (cylinder volume)

  V = (2/3)(11)

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Assumptions of a regression model can be evaluated by plotting and analyzing the ____________
Gala2k [10]

The assumptions of a regression model can be evaluated by plotting and analyzing the error terms.

Important assumptions in regression model analysis are

  1. There should be a linear and additive relationship between dependent (response) variable and independent (predictor) variable(s).
  2. There should be no correlation between the residual (error) terms. Absence of this phenomenon is known as auto correlation.
  3. The independent variables should not be correlated. Absence of this phenomenon is known as multi col-linearity.
  4. The error terms must have constant variance. This phenomenon is known as homoskedasticity. The presence of non-constant variance is referred to heteroskedasticity.
  5. The error terms must be normally distributed.

Hence we can conclude that the assumptions of a regression model can be evaluated by plotting and analyzing the error terms.

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4 0
2 years ago
F(x) = 1/x<br> g(x) = x - 4<br> Can you evaluate (gof)(0)? Explain why or why<br> not.
s344n2d4d5 [400]

(gof)(0) cannot be evaluated

<em><u>Solution:</u></em>

Given that,

f(x) = \frac{1}{x}\\\\g(x) = x - 4

A composite function is denoted by (g o f) (x) = g (f(x)).

The notation g o f is read as “g of f”

Therefore, let us find whether (gof)(0) can be evaluated or not

To find (gof)(0):

(g o f) (x) = g (f(x))

Now substitute the given value of f(x)

(g o f) (x) = g(\frac{1}{x})

\text{ Substitute } x = \frac{1}{x} \text{ in } g(x) = x - 4

(g o f) (x) = \frac{1}{x} - 4

Now to find (gof)(0), substitute x = 0

(g o f) (x) = \frac{1}{0} - 4

Since 1 divided by 0 is undefined, because any number divided by 0 is undefined

(gof)(0) cannot be evaluated

6 0
3 years ago
Read 2 more answers
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7 0
3 years ago
For this question I am sure the answer is 81% as you divide 45 and 55. However, it is stating my answer is incorrect even though
77julia77 [94]

Answer:

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8 0
2 years ago
Measure of Variability:
Vesna [10]
The mean absolute deviation shows the average distance number data is from each other. The bigger it is the farther the numbers are away from each other and vice versa.
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