Answer:
amount of your paycheck is the correct answer because the summation of all check paid to me will be my net earning.
4x-10 and 7x-8 are supplementary angles and thus add up to 180 degrees.
Thus, 11x - 18 = 180 degrees.
Combining like terms, 11x = 198, and x = 18.
The two supplementary angles are 4(18)-10 and 7(18)-8, or 62 and 118 degrees.
The correct answer is the first choice, ($1818.30, $5077.70.)
To find this, we first find the z-score based on the confidence level:
Convert 95% to a decimal: 95%=95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 1.96.
Next, we identify

Next we find

Next we find

Next, we multiply this value by z:
1.96(831.479) = 1629.70
The confidence interval is given by