Basic Math Questions and Answers

13 log 4 10 1 7 log 6 1 3 log4 7 1 4 Find log4 72 5

A box contains three cards On one card there is an apple A on another card there is a question mark Q and on the third card there is a rectangle R Two cards are to be selected at random with replacement Complete parts a through e below OD AQ AR QA QR RA RQ c Determine the probability that two question marks are selected 1 9 The probability is Simplify your answer d Determine the probability that a card containing a rectangle and then a card containing a question mark are selected 1 9 The probability is Simplify your answer e Determine the probability that at least one card containing a question mark is selected The probability is Simplify your answer E

Construct a set of six pieces of data with mean median and midrange of 63 and where no two pieces of data are the same Choose the correct answer below OA 55 58 61 65 69 71 OB 60 61 62 64 65 66 OC 53 56 57 69 71 72 OD 57 59 61 64 68 69

Assume the spinner cannot land on a line Determine the probability that the spinner lands on a red b green c yellow and d not yellow a P red Simplify your answer b P green Simplify your answer G Y R G

ATV remote control has keys for channels 0 through 9 a If a key is selected at random what is the probability that the key for channel 7 is pressed b If a key is selected at random what is the probability that the key for an even number is pressed c If a key is selected at random what is the probability that the key for a number more than 6 is pressed a The probability that the key for channel 7 is pressed is Simplify your answer b The probability that the key for an even number is pressed is Simplify your answer c The probability that the key for a number more than 6 is pressed is

Assume that a person spins the pointer and is awarded the amount indicated by the pointer If it costs 2 to play the game determine a the expectation of a person who plays the game b the fair price to play the game a dollars Round to the nearest cent b dollars Round to the nearest cent 1 5 10 1

The odds in favor of Frank McKinnis winning a hot dog eating contest are 2 9 a Determine the probability that Frank will win the contest b Determine the probability that Frank will not win the contest a The probability that Frank will win the contest is b The probability that Frank will not win the contest is

Several friends chartered a boat for a day s fishing They caught a total of 55 fish The table below provides information about the type and number of fish caught Determine the empirical probability that the next fish caught is a flounder Number caught Fish Grouper 10 Shark 18 Flounder 8 Kingfish 19 P flounder Simplify your answer Type a fraction

Chapter 9 Excel Assignment John Franks works for 8 75 per hour and worked a 40 hour week for a regular wage total of 350 He also gets commission on sales but does not have a quota or 0 His gross sales were 2 650 and had 0 returns His commission rate is 4 Calculate his total wage

Differentiate the function s t s t 6t 3 2 4 5

Find D 10 40 E G

An automobile uses two halogen headlights connected as shown in Fig P2 6 Determine the power supplied by the battery if each headlight draws 3A of current Use V 34 V for voltage V Figure P2 6 Notes on entering solution Enter your solution in Watts W Enter your solution to 2 decimal places Do not include units in your answer ex 5 W is entered as 5 00 Give the answer for the power supplied and not the current

A model for a standard two D cell flashlight is shown in Fig P2 5 Find the power dissipated in the lamp Given V1 20 V V2 17 V and R 5Q R lamp V1 V2 Figure P2 5 Notes on entering solution Enter your solution in Watts W Enter your solution to 2 decimal points Do not include units in your answer ex 5 W is entered as 5 00 Give the answer for the power supplied and not the current

Determine the power dissipated in the resistor in Fig P2 1 Given V 3 V and R 70 V 1 ww R Figure P2 1 Notes on entering solution Enter your solution in Watts Enter your solution to 2 decimal points Do not include units in your answer ex 5W is entered as 5 00

A new highly contagious strain of the flu is going around a high school after coming back from winter break The number of students that have contracted the flu doubles each week The number infected follows the model shown below very closely for the first several weeks of school time t is measure in weeks after coming back to school s t 3 2t Which correctly describes one of the parameters of this function There were initially 2 students that were sick There were initially 3 students that were sick There were initially 6 students that were sick There were initially 9 students that were sick

A cook has a recipe for a pasta sauce that calls for 3 4 cup of chopped onions One recip makes enough for six servings Compute the volume of chopped onions that would be required for fifteen servings Hint That means the cook must prepare 15 6 2 1 2 recipes

Pat Maninen earns a gross salary of 3 000 each week Assume a rate of 6 2 on 142 800 for Social Security and 1 45 for Medicar a What are Pat s first week s deductions for Social Security and Medicare Note Round your answers to the nearest cent Social Security Medicare Deductions b Will any of Pat s wages be exempt from Social Security and Medicare for the calendar year Note Leave no cells blank be certain to enter O wherever required

If 4000 is invested at an interest rate of 5 25 per year compounded continuously find the value of the investment after the given number of years Round you answers to the nearest cent a 4 years b 8 years c 12 years

Sarah Jones earns 560 per week selling life insurance for Farmer s Insurance plus 4 of sales over 5 750 Sarah s sales this month four weeks are 24 500 How much does Sarah earn this month Note Round your answer to the nearest cent Amount earned

Pat Maninen earns a gross salary of 3 000 each week Assume a rate of 6 2 on 142 800 for Social Security and 1 45 for Medicare a What are Pat s first week s deductions for Social Security and Medicare Note Round your answers to the nearest cent Deductions Social Security Medicare b Will any of Pat s wages be exempt from Social Security and Medicare for the calendar year Note Leave no cells blank be certain to enter O wherever required

Calculate the gross earning Note Round your answer to the nearest cent Number of units Rate per Gross Worker produced unit earning Cruz 975 0 48

Complete the following table Commission Employee McCarthy Total sales rate Draw 288 000 8 8 200 End of month commission received

Robin Hartman earns 565 per week plus 2 of sales over 6 500 Robin s week sales are 10 700 How much does Robin earn Amount named

1 2 3 4 5 6 Determine the vertical asymptotes of the graph of the function Give your answers as equations in exact form m x 2 x 5 Separate multiple equations with commas as necessary Select None if applicable Equation s of the vertical asymptote s None 5

Use the distributive law to factor 21c 18d

Simplify 12 412 17 13 14 11 13 10 12 412 17 13 Type an integer or a simplified fractic 14 11 13 10

Find x when 76 x 37 Simplify your answer Type an integer or a fraction

Four less than four times a number The translation is Type an expression using x as the variable

Remove parentheses and simplify 4u 2v 9 4u 3v 4u 2v 9 4u 3v Simplify your answer

Subtract 3 35 1 3 3 5 Simplify your answer Type an integer or a f

Suppose a temperature of 112 F was recorded in Antarctica and a temperature of 123 F was recorded in the Sahara Desert How many degrees warmer is 123 F than 112 F am 123 F is degrees warmer than 112 F

Jim lost 3 lbs each week for 8 weeks Express his total weight change as an integer Jim s total weight change is lbs Type a negative number with a negative sign or type a positive number with no sign

Find x when 80 39 x Simplify your answer Type an integer or a fraction

Evaluate 16x for x 40 and y 8 y 16x y Simplify your answer

2 Write the sine cosine and tangent ratio of angle 26 24 90 B C 10 to Sin A 24 10 Cos A 26 26 Tan A 24

Use vectors to find the interior angles in degrees of the triangle with the given vertices Round your answers to two decimal places 6 0 1 1 0 7 smallest value o largest value 170 54 X

olve the linear system x z 3 2x 4 22 7 3x 24 62 8

lim infinite sqrt x 2 6x x

2 E lo 20 A 4 H 2x 3 K B X 3 x 2 M 55 P F 54 G H 28 42 35 J N 3x 2 0 48 66 H

A recent graduate s student loans total 16 000 If these loans are at 4 6 compounded quarterly for 8 years what are the quarterly payments Round your answer to the nearest cent

Determine your business idea concept the product or service that you plan offer Create your Business Plan document Business Plan Tompleto dos

By studying the standard deviation formula given below explain why the standard deviation of a set of data will always be greater than or equal to 0 x x S n 1 Choose the correct answer below A The values of x x 2 will always be greater than or equal to 0 OB The mean x will always be greater than or equal to 0 OC The values of x will always be greater than or equal to 0 OD The values of x x will always be greater than or equal to 0

Assume that a particular professional baseball team has 10 pitchers 6 infielders and 13 other players If 3 players names are selected at random determine the probability that all 3 are infielders What is the probability that all 3 selected are infielders Type an integer or a simplified fraction

In a recent year 25 000 people visited a water park The park was open 130 days for water activities The highest number of visitors on a single day was 600 The lowest number of visitors on a single day was 60 Determine whether it is possible to find the following with the given information a Is it possible to find the mean number of visitors per day 00 Yes No

In a recent year 25 000 people visited a water park The park was open 120 days for water activities The highest number of visitors on a single day was 600 The lowest number of visitors on a single day was 60 Determine whether it is possible to find the following with the given information Yes No b Is it possible to find the median number of visitors per day No Yes c Is it possible to find the mode of the number of visitors per day No Yes

Determine the mean median mode and midrange of the set of data 4 6 8 10 12 14 16 18 What is the mean Simplify your answer

The salaries of 10 employees of a small company are listed 27000 86000 to the right Complete parts a through f below 26000 29000 31000 32000 30000 87000 30000 25000 a Determine the mean The mean salary is Simplify your answer

The Taylors have recorded their weekly grocery expenses for the past 12 weeks and determined that the mean weekly expense was 85 30 Later Mrs Taylor discovered that 1 week s expense of 78 was incorrectly recorded as 48 What the correct mean The correct mean is Round to the nearest cent as needed

To get a grade of B a student must have a mean average of 84 or greater Jim has a mean average of 83 for 10 quizzes He approaches his teacher and asks for a B reasoning that he missed a B by only one point What is wrong with Jim s reasoning If Jim has an average of 83 the sum of his quiz grades must be For a grade of 84 the sum of the quiz grades must be So Jim missed a B by points not 1

The mean score on a set of 26 tests is 76 What is the sum of all the test scores The sum of all the test scores is