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3 years ago

5

The profit earned by selling a quantity of x + 2 of a product is given by the expression x^4 − x^3 − 24. What is the average pro

fit per unit of product sold?

1 answer:

Gekata [30.6K]3 years ago

4 0

Te average = Amount/total quantity:

Proceed the division of x^4 − x^3 − 24 by x+2

The result is = x³-3x²+6x-12

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Which expression means the same thing as "six more than c minus 10"?

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A probability model includes P(red) = 27 2 7 and P(blue) = 314 3 14 . Which of the following probabilities could complete the mo

Ivahew [28]

Answer:

$(b)\ P(Green) = \frac{3}{8} ; P(Yellow) = \frac{1}{8}$

$(c)\ P(Green) = \frac{1}{4} ; P(Yellow) = \frac{1}{4}$

Step-by-step explanation:

Given

$P(Red) = \frac{2}{7}$

$P(Blue) = \frac{3}{14}$

Required

Which completes the model

Let the remaining probability be x.

Such that:

$P(Red) + P(Blue) + x = 1$

Make x the subject

$x = 1 - P(Red) - P(Blue)$

So, we have:

$x = 1 - \frac{2}{7} - \frac{3}{14}$

Solve

$x = \frac{14 - 4 - 3}{14}$

$x = \frac{7}{14}$

$x = \frac{1}{2}$

This mean that the remaining model must add up to 1/2

$(a)\ P(Green) = \frac{2}{7} ; P(Yellow) = \frac{2}{7}$

$P(Green) + P(Yellow)= \frac{2}{7} + \frac{2}{7}$

Take LCM

$P(Green) + P(Yellow)= \frac{2+2}{7}$

$P(Green) + P(Yellow)= \frac{4}{7}$

This is false because: $\frac{4}{7} \ne \frac{1}{2}$

$(b)\ P(Green) = \frac{3}{8} ; P(Yellow) = \frac{1}{8}$

$P(Green) + P(Yellow)= \frac{3}{8} + \frac{1}{8}$

Take LCM

$P(Green) + P(Yellow)= \frac{3+1}{8}$

$P(Green) + P(Yellow)= \frac{4}{8}$

$P(Green) + P(Yellow)= \frac{1}{2}$

This is true

$(c)\ P(Green) = \frac{1}{4} ; P(Yellow) = \frac{1}{4}$

$P(Green) + P(Yellow)= \frac{1}{4} + \frac{1}{4}$

Take LCM

$P(Green) + P(Yellow)= \frac{1+1}{4}$

$P(Green) + P(Yellow)= \frac{2}{4}$

$P(Green) + P(Yellow)= \frac{1}{2}$

This is true

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