The income distribution in a county is a normal distribution with a mean income of $10,000. the top 2.5% of the wage earners earn $18,000 or more. which sentence most closely summarizes this information? 68% of the wage earners earn less than $14,000 each. 16% of the wage earners earn less than $14,000 each. 55% of the wage earners earn less than $14,000 each. 84% of the wage earners earn less than $14,000 each. 95% of the wage earners earn less than $14,000 each.

84% of the wage earners earn less than $14,000 each.

Step-by-step explanation:

The Empirical Rule (68-95-99.7%)-

According to this around 95% of the data will fall within two standard deviations of the mean.

As the bell curve is symmetrical, so the remaining 5% will be divided into 2 equal parts. So 2.5% will be above 2 standard deviation and 2.5% will be below 2 standard deviation.

As it is given that, the top 2.5% of the wage earners earn $18,000 or more, so 18,000 is 2 standard deviation away from the mean 10,000.

i.e

We know that,

where,

X = raw score = 14,000

μ = 10,000

σ = 4,000

Putting the values,

Now, calculating the value from the z score table,

As the probability at is the area below that, so 84% of the wage earners earn less than $14,000 each.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720