MOCA- Math Questions and Answers Rated A+

MOCA- Math Questions and Answers Rated A+ A designer is creating a store window display from 3 pairs of pants (brown, black, and blue) 2 shirts (black and blue) and 3 pairs of shoes (brown, black and blue) that are available to choose from. What is the probability that the outfit consists of the same color if the components are chosen at random? 1/9 The sides of a six-sided cube are painted with the colors shown in the table. Which of the following expressions can be used to determine the probability that if the cube is rolled twice, it comes up first green and then yellow 1/6 X 2/6 For which of the following types of graphical representation is the median of a set of data most efficiently determined? box and whisker plot In which of the following situations would a line graph be the most appropriate type of graph for representing the data? A biologist wants to see the pattern of change in the oxygen levels of a lake that were recorded each month for a year. Which of the following statistics is least affected by outlier values? median Which of the following expressions represents the median of 4, 5, 8, 3, 7, 3, 1 and 6? 4+5/2 Which of the following expressions can be used to determine the number of centimeters in 20 kilometers?20 20(1,000)(100) there are 1000 meters in a kilometer and 100 centimeters in a meter A lion can charge at a speed of 50 miles per hour. Approximately how fast is this in feet per second? 70-75 feet per second converting miles per hour to feet per second involves 50 miles/hour +1 hour/3600 seconds +5280 feet/1 mile = 73 1/3 feet per second A plumber charges $50 for the first hour, $30 for every hour after that and $15 per hour for a helper. if h represents the plumber and the helper worked which of the following equations can be used to calculate c the total cost of a plumbing job? c=50+30(h-1)+15h in the equation -3y=6x-4 what is the value of y? -2x+4/3 Which of the following equations is justified by the associative property of multiplication? 7(3x)=7x3)x which of the following expressions is equivalent to 7(x+1)-9(3x-2)? 25-20x When the numerator and denominator of a fraction are each multiplied by the same number, the resulting fraction is equivalent to the original fraction. For example 3/4=9/12 because 9/12=3/4x3/3=3/4x1=3/4 moving decimal points the same number of spaces in both the dividend and the divisor in order to divide decimal numbers An employee earns $9.24 per hour for a 40-hour work week and 1 1/2 times the regular hourly rate for each hour worked more than 40. if taxes and deductions are 18% of the pay earned approximately how much will the take home pay be for a week in which the employee worked 47 1/2 hours $388 A household appliance regularly priced at $150 was put on sale at a 15% discount. After several weeks the appliance was discounted 20% off the sale price.When these discounts are combined what percent of the original price would a shopper save 32% The average distance from earth to Saturn is approximately 1.44 x 10 ^9 km. About how long would it take a rocket traveling at 4.8 x 10^3 km per hour to reach the Saturn from Earth? 3x10^5 hours 1.44x10^9/4.8x10^3 =1.44/4.8x10^9=10^9/10^3 Which of the following questions can be used to determine whether a number with four digits is divisible by 4? are the last two digits a number that is divisible by 4? What is the prime factorization of 144? 2^4x3^2 A rectangle garden 75 feet by 135 feet is to be divided into squares of equal size. If the lengths of the squares sides are whole numbers what are the largest squares that can be used? 15 feet by 15 feet find common factor A number n when rounded to the nearest tenth is reported as 3.4 which of the following expression is the smallest interval which contains all possible values of n? 3.35_< n < 3.45 Which of the following numbers is closest in value to 2.5x1- ^-2 0.021 Which of the following is 342.6 in expanded form? 3x10^2+4x10^1+2x10^0+6x10^-1