Which teacher exhibited the most variable year to year performance over this 5 year span?

Mathematics

2 answers:

Tanzania [10]2 years ago

7 0

<u>Answer-</u>

Ed exhibited the most variable year to year performance over this 5 year span.

<u>Solution-</u>

Most variable performance means varying performance or non-consistence performance.

As shown in the graph,

Jill's performance was constant throughout 2005-07.

Ralph's performance was constant throughout 2006-07 and also in 2008-09.

Tina's performance was constant throughout 2007-09

Sam's performance was constant throughout 2008-09.

All of them has been consistence for at-least once. But, in case of Ed, throughout the time, his performance was in-consistence or variable.

nadezda [96]2 years ago

6 0

The teacher that exhibited the most variable year to year performance over this 5 year span is Jill. Even though she started out at a constant rate from 2005 to 2007, her performances gradually increases in the year 2007 and beyond.

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kondor19780726 [428]

<h2>Answer:</h2>

$\boxed{W=2ft}$

<h2>Step-by-step explanation:</h2>

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. On the other hand, a rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:

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From the statement of the problem we know:

$V=24ft^3 \\ \\ H=3ft \\ \\ W=W \\ \\ L=W+2$

So:

$24=(W+2)(W)(3) \\ \\ 3W(W+2)=24 \\ \\ 3W^2+6W-24=0 \\ \\ From \ the \ Quadratic \ Formula: \\ \\ W_{12}=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ W_{12}=\frac{-6 \pm \sqrt{6^2-4(3)(-24)}}{2(3)} \\ \\ W_{1}=2 \\ \\ W_{2}=-4$