Basic Math Questions and Answers

Find the range and standard deviation of the set of data 1310 35 170 55 335

Find the range and standard deviation for the set of numbers 109 129 132 147 153 159 186

Find the range and standard deviation of the set of data 47 47 49 45 47

Emerald Bazaar manufactures a product requiring two pounds of direct material During 2020 Emerald Bazaar purchases 24 000 pounds of material for 99 200 when the standard price per pound is 4 During 2020 Emerald Bazaar uses 22 000 pounds to make 12 000 products The standard direct material cost per unit of finished product is

Why does Henry ask so many rhetorical questions in his speech He can t think of any more points to make He wants to see if the audience is paying attention He wants the audience to think about what he is saying and come to a conclusion He understands the importance of this rhetorical strategy especially when overused

Sagenaw Company which produces only one product has the following data for June Selling price per unit 42 Unit variable expenses 14 Total fixed expenses 42 000 Actual sales for the month of June 3 000 units How much is the margin of safety for the company for June

What is the annual cost of a bag of chips 1 50 from a vending machine twice a day Round the final answer to the nearest cent use 365 days in a year The annual cost of this regular expense is S

Boise LLC has a break even point of 2 000 units variable costs are 55 000 and fixed costs are 35 000 How much is their selling price per unit

Strawberry Fields has 28 of variable costs and 12 of allocated fixed costs to produce a juicer that sells for 60 A buyer in Mexico offers to purchase 3 000 units at 36 each Strawberry Fields has excess capacity and can handle the additional production What effect will acceptance of the offer have on net income

Westville Company manufactures two models of its mirrors the concave and the convex The concave model requires 10 000 direct labor hours and the convex model requires 40 000 direct labor hours The company produces 4 000 units of the concave model and 1 000 units of the convex model each year The company produces the concave model in batch sizes of 200 while it produces the convex model in batch sizes of 100 The company expects to incur 360 000 of total setup costs this year How much of the setup costs are allocated to the concave model using ABC costing

Biscuit Food s fixed costs are 3 000 000 and the unit contribution margin is 150 What is the break even point

Which one of the following is not a cost element in manufacturing a product 1 Manufacturing overhead 2 Direct materials 3 Office salaries 4 Direct labor

Patrick Henry begins his Speech to Virginia Convention by saying that he Respects the previous speakers but must disagree with their speeches Agrees with other speeches that have been given Is not sure of his opinion on the subject at hand Does not respect the other speakers at the convention

Manufacturing costs that cannot be classified as either direct materials or direct labor are known as 1 period costs O2 nonmanufacturing costs 3 selling and administrative expenses O4 4 manufacturing overhead

Determine the roots of the following simultaneous nonlinear equations using a fixed poin iteration and b the Newton Raphson method 5y xy x e 3y 2x 3x 5 Employ initial guesses of x y 1 2 and discuss the results

2 Consider a random experiment of flipping a fair coin 3 times Let X be the number of tails in the first flip and Y the total number of tails in 3 tosses a What are possible values of X and Y b Express the event X a Y b a 0 1 and b 0 1 2 3 in terms of H and T of three tosses c Find the joint density px y a b of X and Y where a 0 1 and b 0 1 2 3

response to rising concerns about identity theft the number of models of paper shredders a company manufactures increased approximately steadily from 4 models in 1996 to 37 odels in 2005 Find the average rate of change of the number of shredder models manufactured per year between 1996 and 2005 he average rate of change of the number of paper shredder models manufactured per year between 1996 and 2005 was Type an integer or decimal rounded to two decimal places as needed

1 a Let X be an exponential random variable with a parameter 0 Show that is an exponential random variable of parameter 1

Numbers greater than 5 The correct inequality that describes the solution set is Graph the solution set Choose the correct answer belo OA OB O C OD 10 10 44 10 5 5 X 5 X2 5 X 5 X 5 0 10

1 A dust bunny gathers dust at a rate of 11 per week The dust bunny originally weighs 0 7 oz Write a function that represents the weight of the dust bunny at a given time Use x for weeks and y for the weight of the dust bunny

Determine the moment of inertia about the x axis of the area shown in Figures 10 160 mm 400 mm FIGURE 10 X

Suppose a graph has vertex set A B C D E F The following sequence of vertices gives an Euler circuit AECABCFEDA True False

An alligator s tail length is proportional to its body length An alligator with a body length of 7 7 feet has a tail length of 8 7 feet What is the tail length of an alligator whose body ength is 5 1 feet Complete the proportion where the ratios have tail lengths in the numerators and body lengths in the denominators X Do not simplify The tail length of an alligator whose body length is 5 1 feet is approximately C feet

Use the graph on Nike Shoes to answer questions 1 6 Nike Shoes 90 80 70 60 50 0 1 000 2 000 3 000 4 000 5 000 1 What is the equilibrium price of Nike shoes a 50 b 60 C 70 d 80 2 What is the amount of Nike shoes consumers are willing to buy and suppliers are willing to supply at 70 a 1 000 shoes b 2 000 shoes c 3 0000 shoes d 4 000 shoes 3 What is the quantity supplied at 60 a 1 000 shoes b 2 000 shoes c 3 000 shoes d 4 000 shoes 4 What is quantity demanded at 90 a 1 000 shoes b 2 000 shoes c 3 000 shoes d 4 000 shoes 5 What situation occurs when Nike sets their price to 80 Shortage Surplur

What is the tone of the following excerpt from Amy Tan s story Two Kinds Soon after my mother got this idea about Shirley Temple she took me to the beauty training school in the Mission District and put me in the hands of a student who could barely hold the scissors without shaking Instead of getting big fat curls I emerged with an uneven mass of crinkly black fuzz My mother dragged me off to the bathroom ar cried to wet down my hair excited critical admiring nostalgic

and edge set A B C D E A B B E B C C D Match the vertices with their degrees E B D 1 1 2 2

15 8 4x13 7 52 This is a false equation because the two sides of the equation are not equivalent For 1 6 write True or False for each equation explain how you know Show or 1 48 6 x 5 3 6 x 5 22 3 6 8 2 4 5 4 2 3 4 2 In true equations both sides of the equation have the same value c 2 5x14 5 2 False 4 27x 18 62x36 3x 6 35 3x 14 7 3x 1

In Harrison Bergeron why does George have a mental handicap in his ear He was extremely smart and this device interrupted his thought process He was not very good at hearing and a device helped him out He was not a smart man and the device helped him learn and retain knowledge so he would be smarter He was very good at hearing and this device tuned things out

What kind of graph can be used to model a highway system between major cities where vertices are the cities and there is an edge between them for each interstate highway and an edge for highways that circle the cities O multigraph with loops Omultigraph without loops directed graph simple graph

Suppose a graph has six vertices all of degree two How many edges does the graph have

uppose apn nas vertex set A B C D E F The following sequence of vertices gives an Euler circuit AECEABCFEDA True False

The sum of the degrees of all vertices in a graph is always an even number O True False

826 000 as the cost of goods manufactured compute the cost of goods sold using the following information Raw materials inventory January 1 Raw materials inventory December 31 Work in process January 1 Work in process December 31 Finished goods January 1 Finished goods December 31 Raw materials purchases Direct labor Factory utilities Indirect labor Factory depreciation Operating expenses 20000 40000 18000 12000 40000 32000 1480000 760000 150000 50000 400000 420000

Period 1 2 3 Present Value of an Annuity of 1 8 9 0 926 0 917 1 783 1 759 2 577 2 531 O 60 000 O 3 720 10 0 909 30 372 1 736 4 Cranford Company has a minimum required rate of return of 9 It is considering investing in a project which costs 300 000 and is expected to generate cash inflows of 120 000 at the end of each year for three years The net present value of this project is 2 487

Constable Industries prepared a 2019 budget for 165000 units of product Actual production in 2019 was 175000 units To be most useful what amounts should a performance report for this company compare The actual results for 175 000 units with last year s actual results for 180 500 units The actual results for 175 000 units with the original budget for 165 000 units The actual results for 175 000 units with a new budget for 175 000 units It doesn t matter All of these choices are equally useful

nt es are equally useius 1200 unfavorable 750 unfavorable LockDown Browser The per unit standards for direct labor are 2 direct labor hours at 15 per hour If in producing 2600 units the actual direct labor cost was 76 800 for 4800 direct labor hours worked the total direct labor variance is 1200 favorable 2600infavorable

During 2019 it cost King Inc 12 per unit to produce part T5 During 2020 it has increased to 15 per unit In 2020 Miller Company has offered to provide Part T5 for 11 per unit to King As it pertains to the make or buy decision which statement is true Net relevant costs are 3 per unit Differential costs are 4 per unit Incremental revenues are 1 per unit Incremental costs are 3 per unit

One of Davis Company s activity cost pools is inspecting with estimated overhead 110 000 Davis produces throw rugs 700 inspections and area rugs 1300 inspections How much of the inspecting cost pool should h throw rugs

At the beginning of the year Cranford Company estimates annual overhead costs to be 2 400 000 and that 300 000 machine hours will be operated Using machine hours as a base the amount of overhead applied during the year if actual machine hours for the year was 275 000 hours is 2 200 000 1 680 000 O2 400 000 2 618 182

Miller Industries has 9 000 units in beginning finished goods The sales budget shows expected sales to be 30 000 units If the production budget shows that 35 000 units are required for production what was the desired ending finished goods 21 000 9 000 O 14 000 4 000

Mullins Company sells a product which has a unit sales price of 10 unit variable cost of 8 and total fixed costs of 250 000 The number of units the company m sell to break even is

Consider the following where C C and c3 are constants 6 x c 6 x c3 6 x x 0 Find C C and C3 If a nontrivial solution exists state it or state the general solution in terms of the parameter t If only the trivial solution exists enter the trivial solution C C C3 0 0 0 C C C3 Consider the following f x 6 x g x 6 x h x 6 x x in P Test the set of polynomials for linear independence If it is linearly dependent express one of the polynomials as a linear combination of the others If the set is linearly independent enter INDEPENDENT If t set is linearly dependent enter your answer as an equation using the variables f g and h as they relate to the question

Bennett Corp wants to produce and sell a new lightweight radio Desired profit per unit is 1 00 The expected unit sales price is 23 based on 9 500 units What is the total target cost 218 500 9 500 209 000 228 000

Find the coordinate vector of A A B 4 35 with respect to the basis B of M22

Consider the following 1 1 V M22 B 0 1 1 Complete the following statements The elements of set B Select linearly independent The set B has elements and dim M22 Therefore the set Select a basis for V Select is

Consider the exponential expression Which is equivalent to the expression A 2 B x 1 D 2 2 1

An anvil is represented by the square pyramid What is the volume of the anvil A 213 cubic centimeters B 533 cubic centimeters C 800 cubic centimeters D 1 600 cubic centimeters Hint Volume of a pyramid is wh 10 cm 16 cm

Consider the three functions f x 2x g x 2 h x x Which lists the functions in the correct order from smallest to largest rate of change as x increases without bound A f x h x g x B f x g x h x g x f x h x D h x g x f x

The area of a shaded sector of the circle in the figure is and What is the measure of 8 A 3 B KIIN R C che and R 2

A student wants to find the sum of three consecutive odd numbers If x is an odd number which list can be used to represent the three consecutive odd numbers A x x 1 x 2 B x x 2 x 4 x 1 x 2 x 3 x 1 x 3 x 5 c D