Question 1

What is the mean for the following expenditures? $79.84, $278.99, $342.16, $466.25, $111.39, $502.47, $98.12

Accepted Answer

The mean for the data set above is $268.46. The median or middle number when the numbers are in ascending order ($79.84, $98.12, $111.39, $278.99, $342.16, $466.25, $502.47) is $278.99.

Question 2

People who score in the 95th percentile on an exam:

Accepted Answer

A test taker who scores in the 95th percentile scored as well or better than 95% of the people who took the exam. It is a comparative measure of success that has nothing to do with the number of questions on the exam, the number of correct responses given or the "score" of the exam in a 1 to 100 grading scheme. Early education exams are typically evaluated solely on this measure. Secondary school, higher education and professional exams vary in their emphasis on this method, but most report comparative percentile scores as a frame of reference.

Question 3

On a trip to the Netherlands you spend €275 per night in a hotel, €37.58 per day on meals and €50 per day on transportation. If you were there for four days and three nights, and the exchange rate from U.S. dollars to euros was $1.00 : €0.7515, about how much did you spend altogether, in U.S. dollars?

Accepted Answer

An expense of €1175, at an exchange rate of $1.00 : €0.7515, would total $1564. The total expenses were (€275 x 3) + (€37.58 x 4) + (€50 x 4), with the final sum being €1175.32. If the exchange rate was $1.00 : €0.7515, then €1175.32 is 75.15% of the total expense in U.S. dollars. Cross-multiply €1175.32 to find the dollar value of the expense. (€1175.32 x 100) ÷ 75.15 = $1563.97.

Question 4

Jacqueline and Lee are meeting for the weekend somewhere between their cities, which are 420 miles apart. Jacqueline drives 80 mph for the duration of her trip. If they both left home at 10 a.m. and met at 1 p.m., what speed did Lee drive to reach their meeting spot?

Accepted Answer

Lee drove 180 miles at 60 mph to reach the meeting place where Jacqueline arrived after driving 240 miles at 80 mph. Jacqueline drove 80 mph for three hours, which is 240 miles altogether. If she drove 240 miles, then Lee drove what remained of their 420-mile distance, which is 180 miles. She had three hours to complete that distance which means she traveled 60 miles each hour.

Question 5

The division of your company that you oversee contains 18 employees whose total salary last year was $855,000. The average salary of all company employees with the same level of responsibility and qualifications is $50,000. Is your department above or below the company average?

Accepted Answer

The average salary of a worker in your department is $47,500, which is 5% below the company average. Divide your workers' total salary by the number of workers. There is a $2,500 difference between the average salary in your division and the company's average. $2,500 is 5% of $50,000.

Question 6

If Martin invests $20,000 for 20 years and his investment earns 20% interest compounding quarterly, what will it be worth at the end of his investment period?

Accepted Answer

A $20,000 investment that earns 20% interest compounded quarterly would be worth $991,228.82 at the end of a 20-year investment period. The equation for compound interest is A = P(1 + r/n)nt in which A is the amount including interest, P is the principle investment, r is the interest rate expressed in decimal form (0.12), n is the number of times interest is added per year, and t is the number of years for which the principal is invested. A = $20,000(1+.2/4)80. = $991,228.82.

Question 7

A company just distributed candy bars wrapped with golden tickets hidden within ordinary shipments of their product. The company spokesperson announces that there is a "one in one thousand chance" of someone finding a golden ticket when they open a candy bar, and that 500,000 candy bars have been distributed in the golden ticket promotion. If a person buys three of the candy bars, what is their chance of finding a golden ticket?

Accepted Answer

A person with three eligible candy bars has a 0.3% chance of receiving one of the golden tickets. There is one golden ticket in every 1000 candy bars and there are 500,000 candy bars that could possibly have the prize. That means there are 500 golden tickets waiting to be found, and each candy bar has a 0.1% chance of having a ticket (500/500,000). If the person has three candy bars, that triples their 0.1% chance of finding a golden ticket.

Quiz 4: Hesi: Mathematics

What is the mean for the following expenditures? $79.84, $278.99, $342.16, $466.25, $111.39, $502.47, $98.12

People who score in the 95th percentile on an exam:

Jacqueline and Lee are meeting for the weekend somewhere between their cities, which are 420 miles apart. Jacqueline drives 80 mph for the duration of her trip. If they both left home at 10 a.m. and met at 1 p.m., what speed did Lee drive to reach their meeting spot?

The division of your company that you oversee contains 18 employees whose total salary last year was $855,000. The average salary of all company employees with the same level of responsibility and qualifications is $50,000. Is your department above or below the company average?

If Martin invests $20,000 for 20 years and his investment earns 20% interest compounding quarterly, what will it be worth at the end of his investment period?