Since 2.5% as a decimal is .025, the equation to get this is:
(.025)(80000)
Once multiplied, these equal 2,000. Or in other words, the Smiths pay $2,000 in school taxes per year.
I believe the answer is y ≤ -3x + 5.
I have not learned inequalities yet so if I am wrong, then :/
According to m.a.t.h.w.a.y:
Answer: z score is -19
Work Shown:
x = 22 is the raw score
mu = 60 is the mean
sigma = 2 is the standard deviation
z = (x-mu)/sigma = formula to find z scores
z = (22 - 60)/2
z = -38/2
z = -19
The z score of -19 means we are 19 standard deviations below the mean. Anything beyond 3 standard deviations is often considered unusual/rare as most of the data in the normal distribution is within 3 standard deviations (approximately 99.7% of the distribution)
First we find the slope between the two given points.
m = (y2 - y1)/(x2 - x1) = (-5 - 2)/(7 - 6) = -7/1 = -7
Now we use the slope-intercept equation of a line.
y = mx + b
We use one point as x and y, and we solve for b.
2 = -7(6) + b
2 = -42 + b
b = 44
The equation is
y = -7x + 44
Answer: f(x) = -7x + 44
The distance between both points is 13 units.
