Basic Math Questions and Answers

Find the critical value s and rejection region s for the type of z test with level of significance a Include a graph with your answer Two tailed test a 0 02 The critical value s is are z 2 33 Round to two decimal places as needed Use a comma to separate answers as needed Select the correct choice below and if necessary fill in the answer box to complete your choice Round to two decimal places as needed OA The rejection region is z B The rejection regions are z OC The rejection region is z and z

Find the P value for a left tailed hypothesis test with a test statistic of z 1 11 Decide whether to reject Ho if the level of significance is a 0 10 P value Round to four decimal places as needed

Type numbers in the boxes ab Part 1 5 points Part 2 5 points Quit Smoking Previous studies suggest that use of nicotine replacement therapies and antidepressants can help people stop smoking The New England Journal of Medicine published the results of a double blind placebo controlled experiment to study the effect of nicotine patches and the antidepressant bupropion on quitting smoking The target for quitting 10 points smoking was the 8th day of the experiment In this experiment researchers randomly assigned smokers to treatments Of the 162 smokers taking a placebo 28 stopped smoking by the 8th day Of the 272 smokers taking only the antidepressant buproprion 82 stopped smoking by the 8th day Calculate the 99 confidence interval to estimate the treatment effect of buproprion placebo treatment The standard error is about 0 0407 Use critical value z 2 576 Round your answer to three decimal places Put lower bound in the first box and upper bound in the second box

Za 2 Round to two decimal places as needed

ed an experiment in which she tested professional touch therapists to see if they could sense her energy field She flipped a coin to select either her right hand or her left hand and then she asked the therapists to identify the selected hand by placing their hand just under Emily s hand without seeing it and without touching it Among 345 trials the touch therapists were corred 161 times Complete parts a through d a Given that Emily used a coin toss to select either her right hand or her left hand what proportion of correct responses would be expected if the touch therapists made random guesses Type an integer or a decimal Do not round

A New York Times article reported that a survey conducted in 2014 included 36 000 adults with 3 74 of them being regular users of e cigarettes Because e cigarette use is relatively new there is a obtain today s usage rate How many adults must be surveyed now if a confidence level of 99 and a margin of error of 2 percentage points are wanted Complete parts a through c below a Assume that nothing is known about the rate of e cigarette usage among adults n Round up to the nearest integer

Find the critical value Za 2 that corresponds to the given confidence level 82 Za 2 Round to two decimal places as needed D

For each of the following graphs obtain a lower bound L A for the area enclosed by the curve by adding the areas of the squares enclosed completely by the curve Then obtain an upper bound U A for the area by adding the areas of the squares enclosed either partially completely by the curve Notice the squares in the first graph are 1 by 1 squares and the squares in the second graph are 1 2 by 1 2 squares a L A b U A a L A 7

The transit department for some city has 99 new buses to be apportioned among six routes The department decides to apportion the buses based on the average number of daily passengers per route as shown in the table below Use the table to answer parts a through c Route A B C D E F Total Passengers 9130 14 620 11 385 6515 25 420 7675 74 745 a Determine the standard divisor Type an integer or decimal rounded to the nearest hundredth as needed

A car manufacturer has 154 cars of a new model to be apportioned to four dealerships The manufacture decides to apportion the cars based on the number of cars each dealership sold in the previous year The number of cars sold by each dealership is shown below Use the table to answer parts a through c Dealership A B C D Total Annual Sales 5214 3944 3380 2246 14 784 a Determine the standard divisor Tyne an integer or decimal rounded to the nearest hundredth as needed

It took 14 6 gallons of gas to fill the gas tank of Kim s car She had driven 364 3 miles since her last fill up How many miles per gallon did her car get Round to the nearest tenth The gas mileage of the car to the nearest tenth of a mile is mpg Type an integer or a decimal rounded to the nearest tenth as needed

Divide 38 514 100 38 514 100

Divide 1282 68

Divide 5 33 5 The quotient is Type an integer or a decimal

Petroleum geologist Glen Penfield was looking for gravity and magnetic anomalies in the Gulf of Mexico when he accidentally located a large meteorite crater True False

Use the standard matrix for the linear transformation T to find the image of the vector v T x y x y xy 3x 3y v 6 6 T v

Consider the hypothesis test Ho 012 0 against H 012 012 respectively Suppose that the sample sizes are n 5 and n2 10 and that s 2 23 2 and s 2 28 8 Use 0 05 Test the hypothesis and explain how the test could be conducted with a confidence interval on 01 02

Consider the following T is the reflection in the y axis in R T x y x y v 3 5 a Find the standard matrix A for the linear transformation T A 1 b Use A to find the image of the vector v T v

Macmillan Learning Dr Caras was characterizing a cytochrome an iron containing protein from a new strain of bacteria He obtained eight measurements of the percent iron in the protein 0 2802 0 2808 0 2793 0 2798 0 2911 0 2791 0 2808 and 0 2794 Calculate the mean x and standard deviation s for these results xxx 0 2813 S 0 02 Incorrect Use the Grubbs test to determine if one of these values is an outlier What is the value of Gcalculated

Question 24 of 25 The following chart shows the number of sales made per day from Dustin s Gift shop 31 10 20 a What is this chart called click to select Number of Sales b What is the total number of frequencies c What is the class interval d What is the class frequency for the 10 to under 20 class e What is the relative frequency of the 10 to under 20 class Round to two decimal places f What is the midpoint of the 10 to under 20 class

Calculate the perimeter and area of a sector of a circle with radius 9 9 m inscribed by an angle of 225 Perimeter me Area m Round to the nearest hundredth

Determine the Median 1st and 3rd Quartiles Interquartile range and Outlier for the following data set 81 76 84 76 85 115 86 77 80 Median 1st Quartile 3rd Quartile Interquartile range

On a 9 question multiple choice test where each question has 5 answers what would be the probability of getting at least one question wrong Give your answer as a fraction

The triangles are similar triangles Find the unknown lengths 28 cm x cm y cm X y 5 cm 4 cm 3 cm

6 93 m Determine the perimeter and area of the composite plane figure above Perimeter Area mE m Round to the nearest hundredth

A satellite calculates the distances and angle shown in Figure not to scale Find the distance between the two cities 370 km 3 3 km E Round to the nearest km 350 km

The following frequency distribution was constructed from data collected from a sample of 49 students at a college Calculate the Relative Frequency Distribution and the Percent Frequency Distribution Round the Relative Frequency to four decimal places and Percent Frequency to two decimal places wherever applicable Weight in kg Frequency Relative Frequency Percent Frequency 60 to under 80 20 80 to under 100 20 20 100 to under 120 3 120 to under 140 2 140 to under 160 4

A spherical bowling ball is made up of a polyurethane core and a reactive resin cover and must have a circumference of 68 cm Determine the cost to manufacture the ball if the polyurethane for the core costs 0 0114 cm and the reactive resin coating costs 0 0052 cm

Find the area of the shaded region Round to the nearest tenth 9 cm

Find the area of the following figure m 12 m 1 5 m 8 m

A poll showed that 59 2 of Americans say they believe that statistics teachers know the true meaning of life What is the probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life Report the answer as a percent rounded to one decimal place accuracy You need not enter the symbol prob

If the probability of the Seattle Mariners winning the World Series is 1 30 What are the odds of the Mariners winning the World Series What is the probability of the Mariners not winning What are the odds of the Mariners not winning

sin A cos B FA DB cos A sin B cos A cos B

At the end of 2020 Metlock Company has accounts receivable of 752 000 and an allowance for doubtful accounts of 37 600 On January 16 2021 Metlock Company determined that its receivable from Ramirez Company of 5 640 will not be collected and management authorized its write off a Prepare the journal entry for Metlock Company to write off the Ramirez receivable If no entry is required select No Entry for the account titles and enter O for the amounts Credit account titles are automatically indented when the amount is entered Do not indent manually Date Jan 16 2021 Account Titles and Explanation Debit Credit

Find all values of x in interval 0 2 for which 1 cos x 2 2 tan x 3

nd the missing angle 0 7 Find LA 15 11 C B C 25 25 28 62 A 8 Find side length z Z 7 m 26 Z 14 m

5 Playing a game with a pair of dice you win 10 if you roll a 2 or a 6 and you pay 2 if you roll anything else Initially you pay nothing to roll the dice Expected Value Is this a fair game

4 Playing a game with a pair of dice you win 5 if you roll a 7 or an 11 and you pay 2 if you roll anything else Initially you pay nothing to roll the dice What is the expected value of this game Expected Value S

There is a game with bottles set up at a carnival There are a total of 15 colored bottles with either the word WIN or the word LOSE printed on the bottom 4 bottles are marked WIN and 11 bottles are marked LOSE The ticket cost for this game is 2 The rule is that the person places a ring around there selected bottle If the bottle has the word WIN on the bottom the player wins 8 What is the expected payoff for a player

Subtract 6 06 2 0054

Find a function of the form y A sin kx C or y A cos kx C whose graph matches the functio shown below 8 6 2 1 3 2 1 2 3 Leave your answer in exact form if necessary type pi for y

Macmillan Learning A student measured the lead content of a paint sample 5 times The standard deviation of the measure 0 73 of the average Calculate the confidence interval at the 90 confidence level 0 80 confidence interval Incorrect Can this student be 90 confident that the true value is within 0 80 of the measured average no yes

lest a claim about a population mean based on a sample Project Use a 0 05 level of significance to identify which automobile tire manufacturer should be awarded the New Jersey State Police tire contract The New Jersey State Police Department is interested in tires for its squad cars These tires must satisfy the specification that the average Mean life of the tire must be at least 80 000 miles and the standard deviation must be at most 250 miles 5 3217 Six different tire makers Tire Tire Tire Tire Tire and Tire sent the automaker several tires to be tested The identities of the tire manufacturers remain anonymous to guarantee a non prejudicial test The tires were placed on the drive wheels of various squad cars and driven until the tires were worn down The following data shows the mileage the tires traveled before they had to be replaced Data price miles Tire 178 99 79 920 80 100 79 800 79 600 Tire 182 95 79 900 80 100 80 200 79 950 79 975 80 000 Tire 186 99 79 950 80 250 79 975 80 300 79 990 80 150 80 225 79 900 Tire 192 99 78 600 79 700 79 650 80 750 Tire 196 95 77 480 80 300 76 480 76 790 78 990 80 061 Tire 204 99 79 125 81 250 78 975 81 200 80 990 81 000 80 225 80 600 As the consultant to the New Jersey State Police determine which tire manufacturer if any gets the contract Write a report type preferred stating your recommendation for the awarding of this lucrative contract Your report must contain the following points I Hypothesis testing Show all steps for each hypothesis test Use single sample hypothesis testing following the format

Find the line integral along the path C shown in the figure on the right x y dy The value of the line integral is Type an integer or a simplified fraction 0 0

Suppose f x has the following properties f is continuous and positive for all x 7 19 f is decreasing for all x 7 19 16 f x dx 135 f 7 must be more than

Suppose that f x is the sum of the Fourier series 3 2n f x sin nx 1 1 n sin x sin 2x sin 3x x Compute the integral 1 f x 1 sin 2x dx A 127 B 17 C 167 D 7 E 14 5 5

Using the MACRS rates from the following table what is the book value of a 3 000 computer after 2 years Year MACRS Rate 1 20 0 2 32 0 3 19 2 4 11 52 5 11 52 6 5 76 Book Value

A diet is to contain at least 969 units of carbohydrates 1348 units of proteins and 1222 calories Two foods are available F which costs 0 06 per unit and which costs 0 08 per unit A unit of food F contains 1 units of carbohydrates 2 units of proteins and 8 calories A unit of food Fy contains 9 units of carbohydrates 8 units of proteins and 2 calories Find the minimum cost for a diet that consists of a mixture of these two foods and also meets the minimal nutrition requirements Corner points of the feasible region If there is more than one corner point type the points separated by a comma i e 1 2 3 4 Minimum cost is 5 when F and F units units

First America Bank s monthly payment charge on a 48 month 20 000 loan is 538 26 The U S Bank s monthly payment fee is 547 70 for the same loan amount What would be the APR for an auto loan for each of these banks Use Table 14 1 Note Round your final answers to the nearest hundredth percent APR First America Bank between and U S Bank between and

The points 13 1 and 5 8 lie on a line with slope 1 3 4 Find the missing coordinate