Basic Math Questions and Answers

accompanying data set Times begin when a vehicle stops at the order window and end when the vehicle leaves the pickup window Lunch times were measured between 11 00 AM and 2 00 PM Begin with a lower class limit of 70 seconds and use a class width of 40 seconds Click the icon to view the drive through service times Construct the frequency distribution Service Time seconds 70 Frequency Drive Through Service Times 116 121 131 147 120 126 136 77 136 133 O X

The following production data were taken from the records of the Finishing Department for June Inventory in process June 1 37 completed Completed units during June Ending inventory 58 complete The number of conversion equivalent units of production in the June 30 Finishing Department inventory assuming that the first in first out method is used to cost invento is a 63 000 units b 68 400 units 5 400 units 64 600 units 3 800 units c 2 204 units d 59 200 units

A farmer planted 4480 acres ac of his land with soy beans Use the facts to find the area of the land planted with soy beans in square miles mi 2 mi X Espa 5

4 Identify the graph of the piecewise function f x 3x 2x 9 x53 2x 9 x 3

phase in Return this question to its initial state Manipulate the graph so that it matches f x sin x 1 Give the coordinates of the points P Q R S and T you may use pi to represent 7 a P 0 0 b Q R N c R 1 0 3 d S

The cost function C x in dollars for producing x units is given by C x 0 17x 25x 650 Approximate the cost of producing the 24th unit by using the marginal cost O 1347 90 O 33 16 O 32 82

Use the chart to find the following data point Number Frequency of hours sleep 3 1 3 2 2 1 56 6 7 8 9 10 Find the Upper Quartile of the data Round to one decimal point if necessary

Using the histogram find the average Exam Grade of the students Frequency 100 75 50 25 100 90 80 Round to the nearest whole 70 60

Amanda has injured her leg and may not be able to play in the next basketball game If she can play the coach estimates the team will score 68 points If she is not able to play the coach estimates the team will score 54 points Her doctor states there is a 75 chance she will be able to play Determine the expected number of points the team scores what is the expected value of this problem Round to the nearest whole

Required information The following information applies to the questions displayed below Laker Company reported the following January purchases and sales data for its only product The Company uses a periodic inventory system For specific identification ending inventory consists of 200 units where 180 are from the January 30 purchase 5 are from the January 20 purchase and 15 are from beginning inventory Date Activities January 1 Beginning inventory January 10 Sales January 20 Purchase Sales January 25 January 30 Purchase Totals Specific Id Weighted Average Complete this question by entering your answers in the tabs below Units Acquired at Cost e 6 00 FIFO b Weighted average Periodic 140 units LIFO 60 units e 5 00 180 units 4 50 380 units e Required Determine the cost assigned to ending inventory and to cost of goods sold using a specific identification b weighted average c FIFO and d LIFO 840 Gost of Goods Available for Sale 300 810 1 950 Cost of Goods Sold Units sold at Retail 100 units e 15 80 units 15 Determine the cost assigned to ending inventory and to cost of goods sold using weighted average Note Round cost per unit to 2 decimal places 180 units Ending Inventory

Find the quotient N Z Z 5 5i Z of the complex numbers Leave your answer in polar form Z2 Z 1 i Z2 Simplify your answer Use integers or fractions for any numbers in the expression Type any angles in radian

Find all the complex cube roots of w 64 cos 270 i sin 270 Write the roots in polar form with 8 in degrees 20 COS i sin

Find the quotient Z1 Z2 2 of the complex numbers Leave your answer in polar form Z2 2 2 cos isin 2 9 cos sin i 5 7 Simplify your answer Ilse integers or fractions for any numbers in the expression Tyne any angles in radis

e the information below to answer the question 100 people vote yes 75 people vote neither 45 people vote both 350 total people voted Yes No How many people voted no only

How does Haymitch sending Katniss broth influence the plot of the novel OA Katniss realizes that she has been in love with Peeta since she was a little girl B Katniss learns that pretending to be in love with Peeta will help them both survive so she continues to act lovingly towards Peeta C Katniss learns that she needs to keep hunting because broth is not very filling D Katniss realizes that her sponsors are abandoning her and Peeta because they are tired of their story

10 8 6 Frequency 4 2 0 Heights of Black Cherry Trees 60 65 70 75 80 85 Height feet 85 90 What percentage of the trees have a height smaller than 75 Round to the nearest whole percentage Enter only DIGITS No symbols words etc

Which of the following characteristics of Peeta s is best highlighted by his reaction to his leg injury A He is very arrogant and believes that nothing is wrong with his leg B He is an excellent hunter as he can still kill game without walking C He is insecure about his skills as a tribute

Which of the following best summarizes why Katniss needs to talk herself through simple tasks after Rue s death A Katniss cannot remember the plan she and Rue made so she has to think out loud B Katniss is depressed and cannot accomplish simple tasks so she needs to encourage herself C Katniss is starting to lose her grip on reality so she begins talking to herself as if another person was there D Katniss is remembering how her mother used to help her accomplish simple tasks when she was a little girl

Finding the missing value in the tree diagram Find y X Round to two decimals Answer x 14 0 14 ZA B 0 28 Z 0 63 D r E D E D 0 0532 y 0 3100 0 3100 0 0703 E W The area model represents a carnival game Use it to answer the following questions r What is the probability of NOT winning a candy cane Round to nearest percentage Only have DIGITS for your answer Do not have words symbols etc r

B P 1 nt B Pert1 prt John is 18 years old He invested 5 000 in an account that earns 2 simple interest What is the balance of the account when he turns 30 Round to the nearest whole For you answer do NOT include symbols words commas etc

There is a prize drawing for home electronics Tickets are 10 There s a total of 250 tickets sold for the drawing The two prizes are a computer worth 300 and a high definition TV worth 500 what is the expected value of the raffle Round your answer to two decimals if possible

Classify the sample described below as random systematic stratified or cluster The superintendent of a large school district wants to test the effectiveness of a new program designed to improve reading skills among elementary school children There are 30 elementary schools in the district The superintendent chooses a simple random sample of 5 schools and institutes the new reading program in those schools O Random O Systematic O Stratified

Neil s class helped clean up a local beach The 6 students in the class each filled their trash bags with varying amounts of litter 41 pieces 66 pieces 82 pieces 61 pieces 93 pieces 56 pieces What was the mean absolute deviation of the amounts of litter collected If the answer is a decimal round it to the nearest tenth mean absolute deviation MAD pieces

Gerber Product s Gerber Mixed Cereal for Baby contains in each serving 60 calories and 11 grams of carbohydrates Gerber Mango Tropical Fruit Dessert contains in each serving 80 calories and 21 grams of carbohydrates If you want to provide your child with 340 calories and 75 grams of carbohydrates how many servings of each should you use Gerber Mixed Cereal for Baby Gerber Mango Tropical Fruit Dessert serving s serving s

he pay Round to the nearest cent two decimal places Your answer will look like this 50 25 For your answer do NOT include words symbols commas etc Answer 14 40 Question 53 David went to the local car lot and found a car listed for 27 400 If the TAVT was 7 how much tax will he pay Round to the nearest cent two decimal places 0 1 pa

4 3 m 15 8 m uestion 24 X Find x Only submit the number Don t type x If you get a decimal for your answer round to one decimal place Answer 15 2 X 125 Based on everything we have learned with angles in a triangles vertical angles linear angles etc Solve for x For your answer just submit the number You do not have to put x

Study the image Select one This image shows a light beam traveling from air into a liquid medium What is the index of refraction of the liquid 1 25 1 80 0 80 0 98 Image courtesy of PhET Air n 1 0 45 0 1 I 1 34 5 I 1

QUESTION 3 Information is given about ABC Determine if the information gives one triangle two triangles or no triangle Solve the resulting triangle s Round the lengths of the sides measures of the angles to 1 decimal place if necessary b 6 c 12 C 38 One triangle A 86 B 35 b 231 6 One triangle A 69 8 B 51 2 b 217 9 OTwo triangles A 86 B 35 b 231 6 and A 69 8 B 51 2 b 217 9 No triangle

Information is given about ABC Determine if the information gives one triangle two triangles or no triangle Solve the resulting triangle s Round the lengths of the sides and measures of the angles to 1 decimal place if necessary b 33 c 25 B 38 One triangle A 114 2 C 27 8 a 48 9 Two triangles A 111 6 C 29 4 a 47 3 and A 87 3 C 53 7 a 50 8 One triangle A 87 3 C 53 7 a 50 8 O No triangle

K A set of data items is normally distributed with a mean of 40 and a standard deviation of 9 Convert 58 to a z score Z58 Type an integer or a decimal www

determines the point at which the cost to make an item is the same as the selling price is called the Profit margin Equivalent equation Sell price Break even point Next Worksheet

A boat leaves a marina at a constant speed of 3 5 mph The boat travels south for 36 min and then east for 24 min to a favorite fishing spot After a day of fishing find the bearing that the captain should use to travel back to the marina ON56 3 W N41 8 W N33 7 W N48 2 W

From the list of arguments select all that are valid All parrots like fruit My pet bird is not a parrot Therefore my pet bird does not like fruit Everyone enrolled in the university has lived in a dormitory Mia has never lived in a dormitory Therefore Mia is not enrolled in the university A convertible car is fun to drive Leo s car is not a convertible Therefore Leo s car is not fun to drive All lobstermen set at least a dozen traps Hamilton is a lobsterman Therefore Hamilton sets at least a dozen traps Quincy likes all action movies Quincy likes the movie Eight Men Out Therefore Eight Men Out is an action movie

ces TB MC Qu 12 90 Static Mercury Company rents out a portion of its Mercury Company rents out a portion of its office space to another company At the beginning of the year the balance in the Unearned Rent Revenue account was 3 400 During the year Mercury recognized 16 600 of rent revenue If the ending balance of Unearned Rent Revenue is 2 600 how much cash was received from the tenant for rent during the year Multiple Choice c 14 000 16 600 15 800

Click on the tautology that is the basis for the simplification rule of inference p q p q Selected Coordinates P pv q p q q

O Inland places have minor temperature changes O Islands and coastal places have major temperature changes O Marine life is least affected by the temperature fluctuations of the atmosphere O The internal temperature of living organisms varies over a wide range QUESTION 4 08 01 LC What change would increase the amount of solid solute able to be dissolved in liquid water O Decreasing rate of stirring O Decreasing surface area O Increasing pressure

10 Fill in each blank so that the resulting statement is true In a normal distribution approximately deviations of the mean and approximately In a normal distribution approximately the mean and approximately of the data items fall within 1 standard deviation of the mean approximately ns fall within 3 standard deviations of the mean 68 95 of the data items fall within 1 standard deviation of the mean approximately of the data items fall within 3 standard deviations of the mean 75 of the data items fall within 2 standard of the data items fall within 2 standard deviations of

Law of Cosines Point A is the top of Mount Everest which is approximately 3964 miles away from the center of the Earth Point B is on top of a Mountain in China that is 3960 miles away from the center of the Earth Using the lines of latitude there is a 14 9 angle between the two from the center of the Earth How far is the actual distance from one mountain top to the other 1027 miles 1923 miles 2042 miles 5603 miles B 3960 m 14 9 3964 m C

Find the partial fractions of the given rational expression 1 2 X 3x x 2 3y 2y 8 y 4y 4y

A construction company ordered 65 wood beams for a new project Altogether the beams had a total length of 487 5 yd If each beam was the same length how long was each beam Write your answer in feet Use the table of conversion facts as necessary and do not round your answer

The first customer paid 12 for 14 postcards and 5 large envelopes The second customer paid 24 80 for 10 postcards and 15 large envelopes What was the cost in dollars of each large envelope

7 81 cm 7 37 cm 7 42 cm 8 12 cm Question 8 8 33 points Law of Sines Determine thapproximate value of 5 70 60 4 08 4 70 6 13 14 75

Question 7 14 28 points Sine Graphs Determine the phase shift of the following graph created by recording a tuning fork assuming it is a Sine graph 0 8 0 0 0 4 ast 0 001 0 0005 0 2 0 0007 1 0 4 0 6 0 0021 0 002275 0 0028 1 0 00175 0 2 0 0005 0 001 0 0015 0 002 0 0025 0 003 0 0035 0 004 0 0045 0 005 0 0055 0 006

3 Question 3 25 points Law of Cosines Determine the approximate measure of angle E D 70 5 12 18 E 10 F

2 25 points Law of Cosines Determine the approximate value of a 7cm P 8 60 cm 09 16 cm 10 12 cm 10 87 cm 114 5cm R

Use the data 8 9 10 12 13 14 Without actually computing the standard deviation determine the value below that best approximates the standard deviation Choose the correct answer below OA 7 OB 10 OC 2 OD 20 Submit

Submit quiz Two classes took a statistics test Both classes had a mean score of 73 The scores of class A had a standard deviation of 5 and those of class B had a standard deviation of 10 Discuss the difference between the two classes performance on the test Choose the correct answer A The students in class A received scores that differed from the mean more than the students in class B OB There is not enough information to discuss the differences between the two classes performance on the test The range for each class could be the same or could be different in this instance Oc The students in class A received scores that differed from the mean less than the students in class B D There is not enough information to discuss the differences between the two classes performance on the test The mean for each class could be the same or could be different in this instance

Find a the mean b the deviation from the mean for each data item and c the sum of the deviations in part b for the following group of data items 42 72 57 42 87 a The mean is Simplify your answer b Complete the following table by entering the deviations for each data value 42 72 57 Simplify your answers c The sum of the deviations is answer 42 87 CEL 4

A company wants to research the satisfaction levels from customers Explain how the company could use a systematic sampling method For the toolbar press ALT F10 PC or ALT FN F10 Mac R 11 C

In an experiment this group receives no treatment O Variable Group O Treatment Group O Control Group Variable Group