Basic Math Questions and Answers

Find the derivative and simplify y 8x 5 x2 3x y

Find the derivative of the function f x 18 In x

1 Find the General term of the following Series 19 1 9 2 3 2 4 8 16 3 9 27 x 1 1 4 1 1 7 17 10 X 7 t

The marginal average cost of producing x digital sports watches is given by the function C x where C x is the average cost in dollars c x 1 200 2 X 3 C 100 20 Find the average cost function and the cost function What are the fixed costs The average cost function is C x The cost function is C x 1200 X 8

following mixed numbers 4 2 1 E

Subject 3 Class Example find integral of kx 6x y 8y over the rectangle of X 21 and 0 y 3 2 using x as the laner Intgral and ii using y 3 1 Date the faner ner integral

b P two black marbles with replacement Assume a jar has six red marbles and four black marbles Draw out two marbles with and without replacement Find the requested probabilities Enter the probabilities as fractions a P two red marbles with replacement 9 25 without replacement 1 3 4 25 without replacement 3 25 X c P one red and one black marble with replacement 12 25 without replacement 8 15 4 047 d P red on the first draw and black on the second draw with replacement 6 25 without replacement 4 15 MY NOTES ASK YOUR TEACHER PRAC

Assume a jar has six red marbles and four black marbles Draw out two marbles with and without replacement Find the requested probabilities Enter the probabilities as fractions a P two red marbles with replacement 9 25 without replacement 4 15 b P two black marbles with replacement 12 25 without replacement 8 15 X c P one red and one black marble with replacement 6 25 without replacement 4 15 Need Help X Read It d P red on the first draw and black on the second draw with replacement without replacement x x A

Consider the tree diagram 1 2 Need Help 4 Read It B B B3 4 5 1 5 21 1 20 1 3 Find P C IB P B Enter your answer as a fraction 1 3 3 G C C C C C C3 Path number 1 2 3 4 5 6 7

Consider the tree diagram 2 Need Help Read It A A A3 Which path number represents P DIA 0 6 0 4 0 7 D 0 5 D 0 5 0 3 D D D D Path number 1 2 3 4 5 6

Suppose a die is rolled twice and let A first toss is a prime C second toss is a 4 Find the requested probability Enter the probability as a fraction P AUC

Suppose events A and B are independent and 1 P A 2 Find the probability P An B 1 13 3 Enter the probability as a fraction P B

A call center data set shows that in a sample of 40 individuals 11 had prior call center experience If we assume that the probability that any potential hire will also have experience with a probability of 11 40 what is the probability that among ten potential hires more than half of them will have experience Define the parameter s for this distribution based on the data Define the parameters for this distribution based on the data Define a success as a new hire having experience When defining the number of successes consider what value is necessary if one is going to find the area to the left of that value Select the correct choice below and fill in the answer box es to complete your choice O A This distribution is a Bernoulli distribution with parameter p Simplify your answer OB This distribution is a Poisson distribution with parameter Simplify your answer OC This distribution is a binomial distribution with parameters n Simplify your answers and p

The weighted graph below shows the distance in meters between four buildings on a college campus Administration 4 Engineering E Humanities H and Linguistics L You can draw on this graph but it will not be graded Note that each weight applies to the entire edge For example the weight 470 applies to the entire edge EL 320 510 470 Sequence 450 430 590 P S h a Bob the IT guy has a cart loaded with computers that were delivered to the Administration building He needs to deliver them all to the Humanities building How far does he need to push the cart from Administration to Humanities In other words what is the weight of the edge AH meters b The following week Bob gets a cart of computers that need to be delivered to various buildings What will be the total distance he needs to push the cart to go from Administration to Engineering to Humanities to Linguistics That is what is the combined weight of the edges used when going from A to E to H to L meters

The time required to play a certain game is uniformly distributed between 20 and 40 minutes Complete parts a through c below a Find the expected value and variance of the time to complete the game The expected value of the time to complete the game is 30 minutes Type an integer or decimal rounded to two decimal places as needed The variance of the time to complete the game is 33 33 Type an integer or decimal rounded to two decimal places as needed b What is the probability of finishing within 23 minutes 0 15 Type an integer or decimal rounded to three decimal places as needed c What is the probability that the game would take longer than 29 minutes Type an integer or decimal rounded to three decimal places as needed

6 Lindsay is travelling to the east coast and her car has a 37 L gas tank If her trip will require 215 L of gas how many gallons of gas will she need for the trip How many full tanks of gas will the trip require A 13 7 A room is 10 ft by 13 ft Trevor will buy carpet and underpad for the room from a discount supplier He will then contract a local installer to lay the carpet and underpad The carpet costs 15 6 85 per square foot and the underpad costs 0 70 per square foot The installation costs 2 85 per square foot What is the total cost for the materials and installation A

4 9 05 10 g 2 3 3 1416 1 54 x 10 cm g cm

2 11 x 10 mol L 2 3 5 10 mol L 7 59 x 105 mol L 2 47 10 2 mol L X x 10 L mol

You check for fruits in your refrigerator and you find that the only fruits you have ar apples and oranges You have a total of 41 fruits and 17 of those fruits are oranges What is the of fruits that are apples

5 5 lb of carrots cost 8 63 How many pounds lb of carrots can you buy with 6 23

1 1 lb of potatoes cost 8 38 How much would it cost to buy 6 5 lb of potatoes

The value of a fraction is less than one when O the denominator is 1 O denominator numerator O the numerator is 1 O the numerator is 1 the denominator is 1

What is the average of the following numbers 49 3 56 7 and 18 4

You are working part time and you work 7 8 hours per week You earn 17 per hour You only buy potatoes and 2 4 lb of potatoes cost 7 79 How many weeks do you need to work to earn enough money to buy 165 lb of potatoes

45 3 8 lb of carrots cost 10 13 How many pounds lb of carrots can you buy with 8 59

a The number 7 105 6 10 4 10 8 10 is is written in expanded form Write it as a Hindu Arabic numeral Hindu Arabic numeral b The number 90 357 is written as a Hindu Arabic numeral Write it in expanded form Expanded form 10 10 10 10 x

The game of Scrabble has 100 tiles The diagram shows the number of tiles for each letter and the letter s point value One tile is drawn from Scrabble s 100 tiles Find the probability of selecting an L or a Q The probability of selecting an L or a Q is Type an integer or a simplified fraction A 9 B 2 C 2 D 4 E 12 F2 K G L H 2 M2 P 2 UZ Q V R 6 W 2 1 9 N S X J O S T 6 Y 2 2 ist af

Use the spinner shown to answer the question Assume that it is equally probable that the pointer will land on any one of the colored regions If the pointer lands on a borderline spin again If the spinner is spun once find the probability that the pointer lands in a red region CXX 3 The probability that the pointer lands in a red region is me an integer or a simplified fraction red green red green yellow red

A single die is rolled twice The 36 equally likely outcomes are shown to the right Find the probability of getting two numbers whose sum is 6 First Roll Second Roll H M 1 1 1 2 1 3 1 4 1 5 1 6 2 1 2 2 2 3 2 4 2 5 2 6 3 1 3 2 3 3 3 4 3 5 3 6 4 1 4 2 4 3 4 4 4 5 4 6 5 1 5 2 5 3 5 4 5 5 5 6 6 1 6 2 6 3 6 4 6 5 6 6 The probability of getting two numbers whose sum is 6 is Type an integer or a simplified fraction 0

You select a family with four children If M represents a male child and F a female child the set of equally likely outcomes for the children s genders is FFFF FFFM FFMF FMFF MFFF MFFM MFMF MMFF FFMM FMFM FMMF FMMM MFMM MMFM MMMF MMMM Find the probability of selecting a family with exactly four female children The probability of having exactly four female children is Type an integer or a simplified fraction

You select a family with three children If M represents a male child and F represents a female child the set of equally likely outcomes for the children s genders is MMM MMF MFM MFF FMM FMF FFM FFF Find the probability of selecting a family with 5 female children P 5 female children Type an integer or a simplified fraction IEE

A fair coin is tossed three times in succession The set of equally likely outcomes is HHH HHT HTH THH HTT THT TTH TTT Find the probability of getting exactly one tail The probability of getting one tail is Type an integer or a simplified fraction

When a figure skater is spinning and draws their arms and legs inward they the distance between the axis of rotation and some of their mass reducing the O No answer text provided O increase moment of inertia O reduce moment of inertia O No answer text provided

In the figure below m Find x X 0 39 to 48 X 1 m

Find the length x 8 2 M 32307 307

In the figure below m 2 58 Find m 1 2 1 m 1 0

Find the value of x xo 47 1019

Two parallel lines are cut by a transversal as shown below Suppose m1 106 Find m26 and m 28 1 2 43 5 6 8 7 m2 6 m 28 0

3 Calculate the volume of the following shapes a 3 m 7m 5 2 cm 11cm 4 Calculate the surface area of the following shapes a 37 cm 10 cm 20 m 6 cm 20 cm b b K 4 K 14

K 124 A 17 C 5 Show all formulas and steps for each of the following problems Round all answers to 2 decimal places unless otherwise stated 1 Convert the following measurements Show your work a 125 inches to feet c 57 gallons to liters b 2 Calculate the perimeter of the following shapes figures a 24 cm 15 cm 2 7 cm 35 cm b 0 6 kilograms to ounces d 60 meters to kilometers 7 5 cm 23 cm T 17 K K 10 16

A survey of 33 college freshmen found that they average 7 37 hours of sleep each night A 99 confidence interval had a margin of error of 0 519 a What are the lower and upper limits of the confidence interval b What was the standard deviation assuming that the population standard deviation is known a The lower limit of the confidence interval is and the upper limit of the confidence interval is Round to three decimal places as needed

8 Two buildings are across the street from one another The shorter building is 18 m tall From the top of the shorter building the angle of elevation to the top of the taller building across the street is 40 and the angle of depression to the bottom of the building across the street is 420 How tall is the building across the street Draw a diagram using INSERT DRAWING C 3 T 2

1 8 pts Give the amplitude period equation for the midline and phase shift for the function below Leave answers in exact form Show work as needed dline 3t 377 2 8 f t 4 cos 3t

Jaycee has a stick of length 4 32 m She joined another stick with the old one The total length of the stick now is one fourth of 52 m What is the length of the stick she has joined

6 31 i Angle ADC ii Angle ABC iii Angle CAD B In the figure TB touches the circle DB is a diameter Angle TBA 31 Calculate

A market research company surveyed consumers to determine their ranked preferences of pizzas among the brands Papa John s Pizza Hut and Papa Gino s a What are the outcomes of this experiment for one respondent b What is the probability that one respondent will rank Pizza Hut first c What is the probability that two respondents will both rank Pizza Hut first a Display the answer as an ordered set where the first object in the set is the highest preference and the last object in the set is the lowest preference Choose the correct answer below OB O A Papa John s Pizza Hut Papa Gino s Papa John s Papa Gino s Pizza Hut Papa John s Papa John s Papa John s Pizza Hut Papa John s Papa Gino s Pizza Hut Papa Gino s Papa John s Pizza Hut Pizza Hut Pizza Hut Papa Gino s Pizza Hut Papa John s Papa Gino s Papa John s Pizza Hut Papa Gino s Papa Gino s Papa Gino s Papa John s Pizza Hut Papa Gino s Papa John s Papa Gino s Pizza Hut Pizza Hut Papa John s Papa Gino s Pizza Hut Papa Gino s Papa John s Papa Gino s Pizza Hut Papa John s Papa Gino s Papa John s Pizza Hut OC Papa John s Pizza Hut Papa Gino s OD Papa John s Pizza Hut Papa Gino s Pizza Hut Papa Gino s Papa John s Papa Gino s Pizza Hut Papa John s

16 If you decide to increase the height of the cartons by 5 cm what will be the increase in the maximum number of cups that you can add to the already existing stack

Though invented by an Italian radio found its greatest market in the United States transforming traditional American family time

For the Facebook data provided find the range variance standard deviation and interquartile range for hours online week and number of friends in the sample using the appropriate Excel function Compare these measures of location Click the icon to view the data C The range for the number of hours online per week is 10 Type an integer or decimal rounded to two decimal places as needed The variance for the number of hours online per week is 8 95 Type an integer or decimal rounded to two decimal places as needed The standard deviation for the number of hours online per week is 2 99 Type an integer or decimal rounded to two decimal places as needed The interquartile range for the number of hours online per week is 4 Type an integer or decimal rounded to two decimal places as needed The range for the number of friends is 420 Type an integer or decimal rounded to two decimal places as needed The variance for the number of friends is 17334 76 Type an integer or decimal rounded to two decimal places as needed The standard deviation for the number of friends is Type an integer or decimal rounded to two decimal places as needed 1 2 B 4 5 5 7 B 9 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5678 Student Gender 1 female 2 female 3 female 4 male 5 male 6 male 7 female 8 male 9 female 10 female 11 female 12 female 13 female 14 female 15 female 16 female 17 female 18 female 19 female 20 male 21 female Hours online week 12 5 4 7 6 6 10 10 9 8 5 4 2 7 2 2 7 9 12 6 6 Friends 380 70 280 120 180 150 400 450 100 340 60 50 50 170 30 30 90 260 110 90 80

To use an automated teller machine at a certain bank you must enter a 5 digit code using the digits 0 9 How many 5 digit codes are possible il repetition 81 There are possible codes