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How many possible samples of size n = 9 can be drawn from a population of size 12?
Franco's company makes tomato paste. His fixed costs are $23,000. The variable cost to make a case is $10. He will price the cases at $25. What are the sales he must reach in order to break even?
As part of its benefits package, a company offers vision insurance to employees. The monthly premium cost per employee is $43. If the employees pay 75% of the premium, how much is the total annual premium paid by an employee for the vision insurance?
Mindy is a real estate agent who earns 5.5% commission on each sale she makes. Last month she sold two homes for $159,000 and $213,000. How much did Mindy make in commissions for the month?
Irving works for Sam's Food Market. He is paid weekly on the basis of a 40-hour work week at the rate of $9.50 an hour with time-and-a-half for overtime. During one week he worked 49 1/2 hours. What was the amount of his total earnings for the week?
Linda sells vacuums part time. She is paid a monthly commission only. She receives 15% of her first $1,500 in sales and 20% of the remainder. Last month she sold $2,233 worth of vacuums. How much commission did she earn last month?
Because of the immediate suspension of classes nationwide due to the COVID-19 pandemic, many
schools opted to give the final examination online. The scores on a certain exam are normally
distributed with a mean of 75 and a standard deviation of 10. Find the probability of the score.
a. Less than 54
b. At least 50
c. The average age of the ABS CBN employees is known to be 32 years and the standard
deviation is 5 years. Find the probability that a random sample of 36 employees will have an average
age of less than 30 years.
What is the Fourier cosine series for f(x) = 2-π, in the interval 0 ≤ x < 2π?
In a study of inter spousal aggression and its possible effect on child behavior, the Behavior Problem Checklist (BPC) scores were recorded for 47 children and whose parents were classified as aggressive. The sample mean and standard deviation were 7.92 and 3.45, respectively. For a sample of 38 children whose parents were classified as non-aggressive, the mean and standard deviation of the BPC scores were 5.80 and 2.87, respectively. Do these observations substantiate the conjecture that the children of aggressive families have lower mean BPC than those of non- aggressive families? Use a significance level of 0.05.
8. A small home business set up with an investment of $ 10,000 for equipment. The business manufactures a
product at a cost of br. 0.64 per unit. If the product sales for Br. 1.20 per unit how many units must be sold
before the business breaks even?
