Permutations and Combinations Questions and Answers

Find an equation of the line having the given slope and containing the given point 4 m 5 2 3 The equation of the line is y Type an expression using x as the variable Simplify your answer Use integers or fractions for any numbers in the expressi

Simplify the fraction to lowest terms 4 10

Find the LCM of this set of numbers 35 and 49

1 1 point A rectangle s length is 8cm more than three times its width It the perimeter is 128 cm find the length 6 7 cm OOOO 14 cm 28 cm 50 cm

5 Identify the domain and range for the quadratic below Domain Range

3 1 point The graph and the equation match y 2x 1 True False

Calculator 1 A sinusoidal function has a frequency of 6TT Which function could be the function described O a maximum value of 12 a minimum value of 6 and a y intercept of 3 F f x 3 sin 6 x 9 f x 3 sin 3 9 f x 9 sin 3 f x 9 sin 6 x 3 O O C 0 1 2 3 4 Finish 0184053ac6443367cee1 3cd2 4356 859 5dcba203175 conorptid NO AL2 0 03 011 Quiz coopTyp ASSESSMENT 12ca4 13494576cm

Lynne took a taxicab from her office to the airport She had to pay a flat fee of 2 05 plus 0 90 per mile The total cost was 5 65 How many miles was the trip 6 2 miles 4 miles 2 3 miles 8 6 miles

4 1 point A rectangle s length is 8cm more than three times its width It the perimeter is 128 cm find the length 50 cm 28 cm 6 7 cm 14 cm Previous

1 point he width of a poster is 8cm less than the length The perimeter is more than 184 cm If the length and width are both integers what is the minimum dimension f he length The minimum length is 43 cm The minimum length is 42 cm The minimum length is 50 cm The minimum length is 51 cm 4 Submit

1 point The length of a rectangle is 3 more than the width Find the length of the rectangle if the perimeter is 98 in 47 5 in 26 in 23 in 24 5 in

Hans wants to order a pizza He can choose to add some or all of the six toppings from the list below He must choose at least one of them bacon mushrooms olives pepperoni sausage tomatoes In how many different ways can Hans choose the toppings The order the toppings are chosen doesn t matter m

Evaluate the following expression 18 5 6 20 4 18 5 6 20 4 Simplify your answer

Evaluate the following expression 6 9 7 5 6 9 7 5 Simplify your answer

Evaluate the expression by using the properties of real numbers 0 1 Select the correct choice below and fill in any answer boxes in your choice OA The solution is undefined OB 1 O c 1 C

Insert grouping symbols so that the expression has the desired value 2 3 2 3 results in 25

What is the frequency of the sinusoidal graph A 3 AMA 3r 2 3 Enter your answer in the box

Here is a Venn Diagram with sets A B and the universal set U Shade A on the Venn diagram U B X

Evaluate the expression 2 4 2 5 2 3 10 2 4 2 5 2 3 10 Simplify your answer Type an integer or a fraction

Evaluate the following expression 9 5 4 9 52 4 Type an integer or a simplified fraction

Evaluate the following expression 2 3 6 2 6 4 2 3 6 2 6 4 Simplify your answer

Evaluate the exponential expression 0 4 0 4 Type an integer or a decimal

Evaluate the following exponential expression 2 8 2 Simplify your answer

1 Consider the analog signal below x 1 5 cos 600m 100 a What is the frequency of the signal b What is the maximum value of the signal c What is the domain and the range of the signa d Graph one period of the signal

Convert the following measurement to the indicated unit of measurement Use th quarts 50 quarts to gallons 50 quarts gallons Simplify your answer Type an integer proper fraction or mixed number

Find the product of the real numbers 24 5 17 12 337 25 5 17 12 337 24 Simplify your answer 5

24 1 point Rationalize the radical expression 3 5 15 5 3 5 5 3 5 3 5 25

Simplify the radical expression completely 10 50 36 be sure to rationalize if necessary 0 0 Is 40 180 20

12 1 point What is the degree of the polynomial 2x y 8xy 5xy 0 0 0 0 O 4 73 9

1 point The length of a rectangle is 5 more than twice the width Write an expression for the perimeter of the rectangle 3x 5 4x 10 2x 5 6x 10

4 1 point A half marathon is 13 miles how many kilometers is that 209 31 km O 82 36 km 26 km 20 92 km

Find the surface area of this rectangular prism Be sure to include the correct unit in your answer 2 in 6 in 3 in 1 in X in in

Find the slope of the line containing the pair of points f 3 2 and f 1 2 Select the correct choice below and if necessary fill in the answer box to complete your choice OA The slope of the line is Type an integer or a simplified fraction THE OB The slope is not defined

Given that g x 2x2 3x 1 find each of the following a g 1 b g p 2 a g 1 Simplify your answer

4 1 point The degree of 5x y z is 9 True False Previous

The graph of W x 6 4 6 5 4 3 24 1 4 2 3 4 5 6 7 8 9 12 13 10 is shown below Use the graph to solve the equation W x 4 6 a Enter the solution s in the box below If there is more than 1 solution separate the values with a comma example 3 2 If there are no solutions enter DNE for Does Not Exist 6

9 a Find the state table for the finite state machine in Fig 6 8 where I 0 0 1 Start 1 0 So 0 0 51 1 1 0 1 SA 1 0 0 0 52 0 0 1 0 S5 0 0 1 0 0 0 1 0 Figure 6 8 b Let x J with x 4 If 1 is a suffix of w so x what are the possibilities for the string x c Let A 0 1 be the language where w so x has 1 as a suffix for all x in A Determine A d Find the language A 0 1 where w so x has 111 as a suffix for all r in 4

Find the nth term an of a sequence whose first four terms are give 8 22 119 9 33 10 44

Evaluate and write in lowest terms if necessary 5 17 24 2 6 10 LO 5 17 24

Evaluate and write in lowest terms 2 3 2 3 11 2 12 1 2 Type an integer or a simplified fraction

Perform the indicated operation 1 3 4 9 1 3 4 9

Find the difference and write in lowest terms 5 1 5 4

Find the quotient and write in lowest terms if necessary 23 2 3 3 3 3 Type an integer or a simplified fraction

lowed A vending machine company has been receiving consumer complaints about their machines not working properly Ideally customers should be able to insert their money and select a beverage A cup will then slide out and be filled with liquid until the cup is nearly full Lately customers have reported issues about the cups overflowing with liquid Part 1 The vending machine company wants to keep their customers happy If a cup contains too much liquid a customer may get burned from a spill This could result in an expensive lawsuit for the company The company s statistician is planning to do some research for the Gwinnett County locations on the amount of liquid being dispensed from the machines for each cup d The statistician pulled a report that showed the amount of liquid dispensed in 100 cups from one of its vending machine locations Each cup holds 8 ounces The amount of liquid dispensed varies according to a normal distribution centered at the mean x that is set in the machine 8 23 8 47 Mean Analyze the data in tab 1 on the report spreadsheet What can you infer about the beverages being dispensed from this machine Link to dataset https tinyud com HolBeyData I can see that of the lilluid being dispences is overflowing because each cup holds Ounces Based on the sample data how much liquid is the machine dispensing in 95 of the cups Do the customers have a valid reason to complain The Custouers have a valid reason because they re either getting to much viquid or not enough

Find the following difference and write it in lowest terms 13 20 13 1 20 20 1 20 Type an integer or a simplified fraction

Find the reciprocal of the fraction 30 29 The reciprocal of 30 29 is Type an integer or a fractic

Find the following quotient 3 5 35 5 21 5 21 Type an integer or a simplified fraction

Find the following product and write it in lowest terms 7 9 7 35 9 18 35 18 Type an integer or a simplified fraction

Find the quotient 36 66 36 66 Type an integer or a simplified fraction

Fill in each blank in the sentence given below m 90 3 30 the answer 30 is called the 90 is called the and 3 is called the n 90 3 30 the answer 30 is called the 90 is called the divisor quotient dividend and 3 is called the