Questions

Translate the statement into a confidence interval Approximate the level of confidence In a survey of 3336 adults in a country 44 believe the economy is getting better Three weeks prior to this survey 56 believed that the economy was getting better The survey s margin of error is 1 Use the results from the newer survey The confidence interval for the proportion is 0 43 0 45 Round to three decimal places as needed Use the results from the newer survey The interval is a 75 5 confidence interval Round to one decimal place as needed Use the results from three weeks prior to the newer survey The confidence interval for the proportion is 0 55 0 57 Round to three decimal places as needed Use the results from three weeks prior to the newer survey The interval is a confidence interval Round to one decimal place as needed 13

A school dance committee is to consist of 2 freshmen 3 sophomores 4 juniors and 5 seniors If 6 freshmen 7 sophomores 7 juniors and 9 seniors are eligible to be on the committee in how many ways can the committee be chosen Your answer is

At the Pizzeria di Sicily a customer has a choice of four different crusts regular whole wheat gluten free or cauliflower seven different sauces red sauce Alfredo sauce pesto olive oil BBQ sauce creamy garlic sauce or chili sauce eight cheeses fontina paneer gorgonzola cream cheese feta mozzarella cheddar or parmesan eight meat toppings barbeque chicken capicola chorizo pepperoni ground beef calamari salami or clams forty five veggie toppings kale mushrooms sauerkraut artichokes blackberries carrot black olives onions grilled zucchini spinach apples eggplant red onions tomatoes jalapenos cherry tomatoes fresh basil Greek peppers sun dried tomatoes butternut squash cilantro roasted beets Brussels sprouts strawberries pineapple broccoli peas raspberries cauliflower green onions mango dill pickles rhubarb pistachios fennel peaches bell peppers red grapes arugula figs garlic corn green olives mustard greens or avocado and five special toppings balsamic vinegar fried egg whipped cream peanut butter or chocolate sauce On the menu is an option to build your own Papa s Special Pie where a customer has the choice of one crust one sauce two cheeses three meats three veggies and one or no special item For example a customer could order a Papa s Special Pie with regular crust creamy garlic sauce mozzarella and paneer capicola barbeque chicken pepperoni butternut squash green olives black olives and balsamic vinegar How many different Papa s Special Pies are possible

If 19300 dollars is invested at an interest rate of 6 percent per year find the value of the investment at the end of 5 years Continuously

In the 6 54 lottery game a player picks six numbers from 1 to 54 How many different choices does the player have Your answer is

A company has 8 male and 9 female employees and needs to nominate 3 men and 3 women for the company bowling team How many different teams can be formed

At the ice cream shop there are 29 flavors of ice cream available How many ways can you select a bowl of 5 scoops of ice cream if each scoop is a different flavor Your answer is The ice cream shop has 10 types of toppings available and you decide to add 3 toppings to your bowl of 5 scoops of ice cream How many combinations of 5 scoops of ice cream and 3 toppings are possible Your answer is

Find the exact values of the six trigonometric functions of the angle e shown in the figure y sin e cos e tan e CSC 0 sec 0 3 9 X

How many different 4 card hands can be dealt from a deck of 52 cards Your answer is

In how many ways can 4 pizza toppings be choosen from 12 available topp Your answer is

Find the number of distinguishable permutations of the letters in the word Your answer is APALACHICOLA Find the number of distinguishable permutations of the letters in the word Your answer is ARKANSAS

A pizza parlor offers a choice of 12 different toppings How many 4 topping pizzas are possible no double orders of toppings are allowed Your answer is possible pizzas

The doubling time for the amount of sick people infected by a virus is 27 days If we begin with 54 sick people calculate the value of b to complete the model below which gives the amount of the sick people in t days f t 54 b Enter your answer for b in the box below rounded to three decimals

A student needs 8 more classes to graduate If she has met the prerequisites for all the classes how many possible schedules for next semester could she make if she plans to take 5 classes wwwwww

Find the number of different ways that an instructor can choose 3 students from a class of 30 students for a field trip

Evaluate each expression below without using a calculator or tables Assume any variables represent positive numbers 3 1 sin sin arcs in arcsin 5 arctan n2 3 cos tan sin 1 5 sin 2 cos 1 1 2 cos 1 5 V5 3 2 cos arcsin arctan 2 4 5 sin tan sin 1 6 sin 2 tan 2 tan 12 7 tan sin x 8 tan cos x 9 sin 2 sin x 10 sin 2 cos x 11 cos 2 cos x 12 cos 2 sin x 13 Verify product formula 4 for A 30 and B 120

Find the unknown value in each figure 176 m 2x Round to the nearest degree 74 84 m 240 m

Graph one complete cyc 41 y sin x 4 43 y 3 sin 2x 7

Prove the identities 1 tanu cscu sinu cosu 1 cscx 2 cos x cotx secx 3 cscx cot x csc x cot x

Rewrite each expression as a product Simplify if possible 25 sin 7x sin 3x 26 cos 5x cos 3x 27 cos 45 cos 15 28 sin 75 sin 15 7 TI 29 sin sin 12 12 30 cos 17 7 COS cos 12

Verify each identity sin 3x sin x 31 cot x cos 3x cos x COS X sin 4x sin 6x 33 cot x cos 4x cos 6x sin 5x sin 3x 35 tan 4x

The problems below review material we covered in Chapter 4 37 Graph y 1 sin x for x between 0 and 4

Rewrite each expression as a sum or difference then simplify if possible 15 10 sin 5x cos 3x 16 10 sin 5x sin 3x 17 cos 8x cos 2x 18 cos 2x sin 8x 19 sin 60 cos 30 20 cos 90 cos 180 21 sin 4 sin 2 22 cos 3 sin

Evaluate each expression below without using a calculator or tables Assume any variables represent positive numbers 1 sin arcsin sin aro 3 arctan 5 3 cos tan 1 sin 1 5 sin 2 cos 5 V5 2 cos arcsin arctan 2 3 5 4 sin tan 1 sin 1 2 6 sin 2 tan 2 tan 12 7 tan sin x 9 sin 2 sin x 8 tan cos 1x 10 sin 2 cos x

A pianist plans to play 5 pieces at a recital from her repertoire of 25 pieces How many different recital programs are possible

In how many ways can 5 students be seated in a row of 5 chairs if Jack insists on sitting in the first chair Your answer is

A theater is presenting a program on drinking and driving for students and their parents or other responsible adults The proceeds will be donated to a local alcohol information center Admission is 2 00 for adults and 1 00 for students However this situation has two constraints The theater can hold no more than 240 people and for every two adults there must be at least one student How many adults and students should attend to raise the maximum amount of money To raise the maximum amount of money adults and students should attend

Editors plan review and revise content for publication Although most editors work in offices a growing number now work remotely from home The work can be stressful because editors often have tight deadlines Proficiency with computers and a bachelor s in communications journalism or English are typically required to become an editor The median annual wage for editors was 54 890 in May 2014 SOURCE Bureau of Labor and Statistics U S Department of Labor Occupational Outlook Handbook 2016 2017 Edition Editors Editors review story ideas and decide what material will appeal most to readers Editors evaluate submissions from writers to decide what to publish They also typically allocate space for the text photos and illustrations that make up a story A local newspaper is planning a 5 part series of articles on gun control The editor has received 19 submissions from his writers He must decide which articles to publish and the sequence in which to publish them How many different options are there for the editor to consider

How many ways can 6 DVDs be arranged on a shelf

Compute the value of 8 5

Find the number of distinguishable permutations of the given letters AABBCC Your answer is

A pianist plans to play 6 pieces at a recital In how many ways can she arrange these pieces in the program Your answer is

2 3 a How many different ways can a race with 8 runners be completed Assume there is no tie Your answer is

Find the inverse of the matrix if possible If an answer does not exist enter DNE in any cell of the matrix 141 4 15

Two teams of scientists explore a cave system inside a mountain From the entrance to the cave Team A hikes 192 ft down to an underground lake Team B hikes 175 ft up to explore an open space Which statement is correct regarding the position of the two teams relative to the cave s entrance O Team A is farther from the entrance than Team B because 192 175 O Team A is farther from the entrance than Team B because 192 175 O Team B is farther from the entrance than Team A because 192 175 O Team B is farther from the entrance than Team A because 192 175

Evaluate the expression P 18 3 equivalently 18P3 Your answer is

A couple plans to save for their child s college education What principal must be deposited by the parents when their child is born in order to have 39 000 when the child reaches the age of 18 Assume the money earns 9 interest compounded quarterly

Which number has the greatest ABSOLUTE value 2 1 4 5 02 0 1 S

Desiree s Desserts wants to serve a dessert at 0 C A food inspector takes the temperature for two versions of the dessert The first sample is 4 C and the second sample is 2 C Which statement about the two samples is correct O The temperature of the second sample is 2 degrees farther from O than the temperature of the first sample The temperatures of the samples are the same distance from O but in opposite directions O The temperature of the first sample is less than the temperature of the second sample The temperature of the second sample is less than the temperature of the first sample

Siobhan Jack and Riley are exploring a coral reef They swim down to different positions relative to the water s surface as shown in the table Which person swam the farthest HINT Draw a number line to help you What is the water s surface on the number line Position Relative to Person Water Surface ft Siobhan 8 Jack 5 4 Riley 11 O Siobhan O Jack

Use the number line below to answer the question that follows 9 Which of the following has the GREATEST value 0 9 0 4 01 41 01 91 0

If sin A 11 sin 2 4 with 90 A 180 and sin B 13 cos 2A 35 with 0 B 90 find A 12 cos 2 14 sin 2A 15 sec 2A 16 csc 2A 17 cos B2 B 18 sin 2 19 sin A B 20 cos A B 21 cos AB 22 sin AB

Write an equivalent expression that involves x only Assume x is positive 43 sin tan 1x 45 tan sin x 44 cos tan 1x 46 tan cos x

Use half angle formulas to find exact values for each of the following 23 cos 15 25 sin 75 24 tan 15 26 cos 75

A 270 5 and 180 A 270 find 3 If sin A 5 cos 7 cot 6 sin 8 tan 2 A A 9 sec 10 csc 2 2

How does the graph of g x 2 4 compare to the parent function f x O g x is shifted 2 units to the left and 4 units up from f x O g x is shifted 2 units to the right and 4 units up from f x O g x is shifted 2 units to the right and 4 units down from f x O g x is shifted 2 units to the left and 4 units down from f x

graph represents f x 2 10 10 0 10 5 0 10

Name the Vertical and Horizontal Asymptotes f x 2 O f x has a vertical asymptote at x 5 and no horizontal asymptote O f x has a vertical asymptote at x 2 and a horizontal asymptote at y 5 Of x has a vertical asymptote at x 5 and a horizontal asymptote at y 2 Of x has a vertical asymptote at x 5 and a horizontal asymptote at y 2

Evaluate without using a calculator or tables arcsi 39 sin arcsin 3 41 cos arctan 2 40 cos arcsin cos arcsin 3 42 sin arctan 2

Prove the following identities e 29 sin csc cot 0 2 2 csc 0 31 cos tan sin e 2 tan 33 tan HIP 1 cos x sin x cos 20 cos2 35 cos4 2 4 t 37 sin sin t 2