Asmall business has an average income of 3000 per month with a standard deviation of 250. if the income in a given month is 3300 what z score corresponds to this value

The correct answer is z = 1.2

Step-by-step explanation:

μ or average income = US$ 3,000

σ or standard deviation = US$ 250

Income in a given month = US$ 3,300

For calculating the z score, we use the following formula:

z = (x – μ) / σ

z = (3,300 – 3,000 / 250)

z = 300/250

z = 6/5 = 1.2

Interpreting z

A Z score tells us how many units of standard deviation (1.2 in this case)from the average a given score is, that is, we do not count in quantity of points, but in quantities of standard deviations. To use the Z score we require the distribution to be normal and to know the average and standard deviation of the scores.

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1