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3 years ago

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John is comparing his workers’ production for the day. The ratios of items produced to time in hours are shown. Worker Items Pro

duction Ratio James 12 : 3
Charlie 7 : 2 Michael 14 : 2 Fred 16 : 4 Which two workers have equivalent ratios?

1 answer:

Margarita [4]3 years ago

5 0

James and Fred because 12/3 is equivalent to 4/1 and 16/4 is equivalent to 4/1

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3 years ago

Help me solve for 13 and 14 please

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Answer:

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Step-by-step explanation:

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3 years ago

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A point is chosen at random on a line segment of length L. Interpret this statement, and find the probability that the ratio of

Flauer [41]

Answer:

Probability=2/5

Step-by-step explanation:

Let the line segment be AB of uniform length and x is distance

so

$P(\frac{min(x,L-x)}{max(x,L-x)} )$

Case 1 min(x,L-x) then

$=\frac{x}{L-x}\leq 1/4\\x$

Case 2 min(x,L-x)=L-x then

$=\frac{L-x}{x}\frac{4L}{5}\\$

So Probability

$P=\int\limits^{L/5}_0 {f(x)} \, dx+\int\limits^{L}_{4L/5} {f(x)} \, dx\\ P=\int\limits^{L/5}_0 {\frac{1}{L} } \, dx+\int\limits^L_{4L/5} {\frac{1}{L} } \, dx\\ P=\frac{1}{L}(\frac{L}{5} -0+L-\frac{4L}{5} )\\ P=\frac{1}{L} (2L/5)\\P=\frac{2}{5}$

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3 years ago

"Quadrilateral ABCD underwent a sequence of transformations to give quadrilateral A′B′C′D′. Which transformations could have tak

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<span>The quadrilateral ABCD have vertices at points A(-6,4), B(-6,6), C(-2,6) and D(-4,4).
</span>
<span>Translating 10 units down you get points A''(-6,-6), B''(-6,-4), C''(-2,-4) and D''(-4,-6).
</span>
Translaitng <span>8 units to the right you get points A'(2,-6), B'(2,-4), C'(6,-4) and D'(4,-6) that are exactly vertices of quadrilateral A'B'C'D'.
</span><span>
</span><span>Answer: correct choice is B.
</span>

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3 years ago

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