A sample in which every person in the population being studied has an equal chance of inclusion is called a _____ sample.

1 answer:

8 0

A sample in which every person in the population being studied has an equal chance of inclusion is called a random sample. It is a subset of a statistical population. Each member of the division or portion has an equal probability of being chosen.

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The average annual income I in dollars of a lawyer with an age of x years is modeled with the following function I=425x^2+45,500

natali 33 [55]

You did not include the questions, but I will give you two questions related with this same statement, and so you will learn how to work with it.

Also, you made a little (but important) typo.

The right equation for the annual income is: I = - 425x^2 + 45500 - 650000

1) Determine <span>the youngest age for which the average income of a lawyer is $450,000

=> I = 450,000 = - 425x^2 + 45,500x - 650,000

=> 425x^2 - 45,000x + 650,000 + 450,000 = 0

=> 425x^2 - 45,000x + 1,100,000 = 0

You can use the quatratic equation to solve that equation:

x = [ 45,000 +/- √ { (45,000)^2 - 4(425)(1,100,000)} ] / (2*425)

x = 38.29 and x = 67.59

So, the youngest age is 38.29 years

2) Other question is what is the maximum average annual income a layer</span> can earn.

That means you have to find the maximum for the function - 425x^2 + 45500x - 650000

As you are in college you can use derivatives to find maxima or minima.

+> - 425*2 x + 45500 = 0

=> x = 45500 / 900 = 50.55

=> I = - 425 (50.55)^2 + 45500(50.55) - 650000 = 564,021. <--- maximum average annual income

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3 years ago

Solve 20 - x/3 = x/2 , put the number only in the box.

Nikitich [7]

Answer:

Step-by-step explanation:

$20 - \frac{x}{3} = \frac{x}{2}$

Multiply through by the LCM that's 6 in order to eliminate the fraction

That's

$6 \times 20 - 6 \times \frac{x}{3} = 6 \times \frac{x}{2} \\ 120 - 2x = 3x$

Using the addition property add 2x to both sides of the equation

That's

$3x + 2x = 120 + 2x - 2x \\ 5x = 120$

<u>Divide both sides by 5</u>

$\frac{5x}{5} = \frac{120}{5}$

We have the final answer as

Hope this helps you

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