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3 years ago

7

How many numbers multiple of 3 are in the range [2,2000]?

1 answer:

amm18123 years ago

7 0

Answer: so there are 666 multiples of 3 between 2 and 2000.

Step-by-step explanation:

the smallest number = 3 which is 3*1. The largest number is = 1998 = 3*666

multiples of 3 between {2,2000} = 666-1+1 = 666

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Which of the following is true about multi-collinearity? Group of answer choices The P-value reduces significantly, leading to r

julsineya [31]

Answer:

It is measured using a measure called variance inflation factor (VIF).

Step-by-step explanation:

This is the statement that is true about multi-collinearity. Multi-collinearity is a situation that can sometimes arise when dealing with a multiple regression model. Multicollinearity refers to the occurrence of high intercorrelations among various independent variables. This can often lead to results that are skewed or misleading. The main way in which multi-collinearity can be measured is by using the variance inflation factor (IVF). This allows us to quantify the severity of multi-collinearity.

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3 years ago

Consider the function V=g(x), where g(x) =x(6-2x)(8-2x), with x being the length of a cutout in cm and V being the volume of an

Andrej [43]

Answer:

The maximum volume of the open box is 24.26 cm³

Step-by-step explanation:

The volume of the box is given as $V=g(x)$ , where $g(x)=x(6-2x)(8-2x)$ and $0\le x\le3$ .

Expand the function to obtain:

$g(x)=4x^3-28x^2+48x$

Differentiate wrt x to obtain:

$g'(x)=12x^2-56x+48$

To find the point where the maximum value occurs, we solve

$g'(x)=0$

$\implies 12x^2-56x+48=0$

$\implies x=1.13,x=3.54$

Discard x=3.54 because it is not within the given domain.

Apply the second derivative test to confirm the maximum critical point.

$g''(x)=24x-56$ , $g''(1.13)=24(1.13)-56=-28.88\:$

This means the maximum volume occurs at $x=1.13$ .

Substitute $x=1.13$ into $g(x)=x(6-2x)(8-2x)$ to get the maximum volume.

$g(1.13)=1.13(6-2\times1.13)(8-2\times1.13)=24.26$

The maximum volume of the open box is 24.26 cm³

See attachment for graph.

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See picture reply.

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