Math Test Quiz

Explanation
The school spent $8,300 for office equipment last year. This year, it will spend 5% less, which means it will spend 5% less than $8,300. To find the amount, we can calculate 5% of $8,300, which is $415. Then, we subtract $415 from $8,300 to get the amount the school will spend this year, which is $7,885.

Explanation
The percent decrease can be calculated by finding the difference between the initial pay and the final pay, dividing it by the initial pay, and then multiplying by 100. In this case, the initial pay was $8.04 per hour and the final pay was $4.02 per hour. The difference between the two is $8.04 - $4.02 = $4.02. Dividing this by the initial pay gives us $4.02 / $8.04 = 0.5. Multiplying this by 100 gives us 0.5 * 100 = 50%. Therefore, the percent decrease in pay is 50%.

Explanation
The professor chose the third through ninth students, which means he chose a total of seven students.

Explanation
Bruce Springsteen was born on September 23, 1949. In the year 2016, he will celebrate his birthday on September 23. Since he was born in 1949, and 2016 is 67 years after his birth, he will be celebrating his 67th birthday.

Explanation
The correct answer is 8%. This means that out of the total number of students at Chapel Hill, only 8% are female. Since there are 12 students in total, the number of female students would be 0.08 * 12 = 0.96. However, since we cannot have a fraction of a student, we round up to the nearest whole number, which is 1. Therefore, the female percentile at Chapel Hill is 1 out of 12, or 8%.

Explanation
Out of the 217 students who took the spelling and grammar test, 37 students failed. To find the percentage of students who passed, we need to subtract the number of students who failed from the total number of students, and then divide that by the total number of students. So, the percentage of students who passed is (217 - 37) / 217 * 100 = 83%.

Explanation
The budget for computer programs at the Posner Institute increased by 32.7%. This can be calculated by finding the difference between the new budget ($7,300) and the original budget ($5,500), which is $1,800. Then, divide this difference by the original budget ($5,500) and multiply by 100 to get the percentage increase. The calculation is (1,800 / 5,500) * 100 = 32.7%.

Explanation
Since Los Angeles is in the Pacific Time Zone and Tampa is in the Eastern Time Zone, there is a 3-hour time difference between the two cities. Therefore, if it is midnight in Los Angeles, it would be 3:00 AM in Tampa, Florida.

Explanation
The median salary is the middle value when the salaries are arranged in ascending order. In this case, the salaries in ascending order are: $5,890, $10,000, $12,500, $14,000, and $16,453. The middle value is $12,500, so that is the correct answer.

Explanation
In order to find the number of patrol officers in 1982, we need to subtract 5 percent from the current number of patrol officers. Since the current number of patrol officers is 693, we can calculate 5 percent of 693, which is 34.65. Rounding this number to the nearest whole number gives us 35. Subtracting 35 from 693 gives us 658, which is the number of patrol officers in 1982. Therefore, the correct answer is 658.

Explanation
The greatest common factor (GCF) is the largest number that divides evenly into all of the given numbers. In this case, the GCF of 18, 24, and 30 is 6 because it is the largest number that can divide evenly into all three numbers. 6 is a common factor of 18, 24, and 30 because it can be divided into each of them without leaving a remainder. No other number greater than 6 can divide evenly into all three numbers, making 6 the greatest common factor.