At a factory the basic week is 40 hours. During a particular week Mr. Ali earned a gross wage of $491.15, but $156.75 was overtime. Calculate Mr. Ali's basic rate of payment If overtime was paid for at time-and-a-quarter, find how many hours

Mr. Ali worked for 55 hours.

Step-by-step explanation:

Basic working hours = 40 hours

Total gross wages = $490.15

Overtime wages = $156.75

Total wages as per basic week = Total Gross wages - Overtime wages

Total wages as per basic week = $490.15 - $156.75 = $334.4

Let wages for basic hours =

Let the number of overtime hours = hours.

Given that the wages for overtime are paid for at time-and-a-quarter.

As per question statement:

Total number of hours worked by Mr. Ali = 40 + 15 = 55 hours

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

the answer is c: divide the arc's degree measure by 360°, then multiply by the circumference of the circle.