Basic Math Questions and Answers

A random sample was taken to determine the left foot length of female bears based on measuring their tracks. The following statistics were calculated for this sample: Mean = 12.8 inches, median = 12.7 inches, standard deviation = 1.4 inches, interquartile range = 2 inches. The distribution is mound-shaped and symmetric. Based only on this information, choose the best estimates for the minimum and maximum values of the distribution. A. min=11.4 and max = 14.2 B. min=10.7 and max = 14.7 C. min = 8.6 and max = 17.0

Tax in Benton and Franklin counties is 8.6%. A TV costs $549.99. Use your answer from the last question to find the total cost of the television after tax. Round your answer to the nearest cent. Enter your solution in the answer box without units.

A population culture begins with 15 strands of bacteria and then doubles every 4 hours. This can be modeled as 15(2)1/4, where t is time in hours. How many strands of bacteria are present at 12 hours? 252 strands of bacteria 200 strands of bacteria 120 strands of bacteria 400 strands of bacteria

The action figure toys of a multinational toy company are based on the usual ideal human figure of 6 feet for standardization purpose. If a common scale factor of 1 inch = 2 feet is applied, determine the height of an action figure toy.

Graph the following function over a two-period interval. Give the period and the amplitude. y = -2cos 6x

The distance from Jupiter to Mercury is 7.201 × 108 kilometers. How long would it take a rocket, traveling at 2.88 × 104 kilometers per hour to travel from Jupiter to Mercury? Round your answer to the nearest whole number of hours.

True or false? A larger sample size produces a longer confidence interval for μ. False. As the sample size increases, the margin of error decreases, resulting in a shorter confidence interval. True. As the sample size increases, the margin of error increases, resulting in a longer confidence interval. False. As the sample size increases, the margin of error increases, resulting in a shorter confidence interval. True. As the sample size increases, the margin of error decreases, resulting in a longer confidence interval.

You are choosing between two different cell phone plans. The first plan charges a rate of 26 cents per minute. The second plan charges a monthly fee of $44.95 plus 11 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable? Round up to the nearest whole minute.

Miguel Rodriguez borrowed $400 from his brother Julio to pay for books and tuition. He agreed to pay Julio in 6 months with simple annual interest at 6.4% a) How much will the interest amount to? b) What amount must Miguel pay Julio at the end of 6 months?

Bilquis is preheating her oven before using it to bake. The initial temperature of the oven is 65° and the temperature will increase at a rate of 25° per minute after being turned on. What is the temperature of the oven 7 minutes after being turned on? What is the temperature of the oven t minutes after being turned on?

United Express, a national package delivery service, charges a base price for overnight delivery of packages weighing 1 pound or less and a surcharge for each additional pound (or fraction thereof). A customer is billed $24.75 for shipping a 6-pound package and $53.75 for a 26-pound package. Find the base price and the surcharge for each additional pound. The base price is $. The surcharge for each additional pound is $

Bashir is a waiter at a restaurant. Each day he works, Bashir will make a guaranteed wage of $30, however the additional amount that Bashir earns from tips depends on the number of tables he waits on that day. From past experience, Bashir noticed that he will get about $7 in tips for each table he waits on. How much would Bashir expect to earn in a day on which he waits on 14 tables? How much would Bashir expect to make in a day when waiting on t tables?

Diana has 480 yards of fencing and wishes to enclose a rectangular area. (a) Express the area A of the rectangle as a function of the width W of the rectangle. (b) For what value of W is the area largest? (c) What is the maximum area? (a) A(W) =

The approximate average distances from the sun to Earth and Mercury are listed below: Earth: 1.5 × 108 kilometers Mercury: 5.79 × 107 kilometers How much farther from the sun is Earth? Express your answer using scientific notation.

One month Elsa rented 5 movies and 3 video games for a total of $25. The next month she rented 2 movies and 6 video games for a total of $40. Find the rental cost for each movie and each video game.

Southwest Dry Cleaners believes that it will need new equipment in 6 years. The equipment will cost $26,000. What lump sum should be invested today at 2% compounded semiannually, to yield $26,000? Round to the nearest cent.

Compare the definition of scale factor of a dilation to the definition of scale factor of two similar polygons. How are they alike? How are they different? Choose the correct answer below. A. Each type is a constant ratio of corresponding lengths. For a dilation, the scale factor is always the ratio of an image length to a corresponding preimage length, while for similar figures, the scale factor ratio can relate the two figures in either order. B. Each type of scale factor can only be written in a specific order. For a dilation, the scale factor is not constant, while for similar figures, the scale factor is constant. C. While each type is a constant ratio of corresponding lengths, neither is constant. For a dilation, the scale factor is always the ratio of an image length to a corresponding preimage length, while for similar figures, the scale factor ratio can relate the two figures in either order. D. Each type is a ratio of corresponding lengths. For a dilation, the scale factor is not constant, while for similar figures, the scale factor is constant.

A hummingbird needs 10 grams of sugar and 8 grams of protein each day. One honeysuckle flower provides 20 mg of sugar and 10 mg of protein. One nasturtium flower provides 10 mg of sugar and 10 mg of protein. It takes 10 seconds to feed from a nasturtium and 15 seconds per honeysuckle. How many minutes does it take to get exactly the food it needs? (Remember that 1 gram equals 1000 mg.)

The sample proportion p is important in calculating a confidence interval. Find for a sample with 36 "yes" responses out of a total of 60 responses if we are trying to find the proportion of people who said "yes." p

A company that produces widgets has a fixed cost of $400 and a unit cost of $80 per widget. Each widget sells for $96. (Use the interactive figure to find your answer.) Click here to launch the interactive figure. (a) How many widgets must the company produce and sell in order to break even? What is the cost and revenue at the break-even point? The company must produce and sell widgets. The cost and revenue both equal. (b) What is the company's profit or loss when 50 widgets are produced and sold? A. The company makes a profit of $ B. The company incurs a loss of $ (c) If the company incurs a loss of $240, how many widgets did they produce and sell? The company produced and sold widgets.

On a daily run of an express bus, the average number of passengers is 48. The standard deviation is 3. Assume the variable is normally distributed. Find the probability that the bus will have a.Between 40 and 43 passengers. b. Fewer than 42 passengers c. More than 48 passengers

Over a period of 120 days, Shawna Johnson earned $400 interest in a retirement account paying interest at a rate of 5%. Find (a) the principal at the beginning of the 120 days and (b) the amount in the account at the end of 120 days. (a) The principal was $ (b) The amount in the account at the end of 120 days is $.

Ayat's van traveled 88 miles on 6.5 gallons of gasoline. At this rate, how many gallons would be needed to travel 220 miles? Ayat will need gallons. (Type an integer or a decimal.) ……..

Solve the equation by factoring. 49 - 64x² = 0

The 30 introductory statistics students took another quiz worth 30 points. On this quiz, the standard deviation of the scores of that quiz was 1 point. Which of the following gives the most suitable interpretation? A. all of the individual scores are one point apart B. the difference between the highest and lowest score is 1 C. the difference between the upper and lower quartile is 1 D. a typical score is within 1 point of the mean

The approximate areas of Oregon and Hawaii are listed below: Oregon: 2.55 x 105 square kilometers Hawaii: 2.83 × 104 square kilometers What's the difference between the areas of the two states? Express your answer using scientific notation.

Keisha puts 4 oranges into each of 5 baskets. She puts 6 lemons into each of 2 baskets. What is the total number of oranges and lemons in the baskets?

Find the midpoint of PQ with endpoints P(-4, 3) and Q(4, -1). Then write an equation of the line that passes through the midpoint and is perpendicular to PQ. This line is called the perpendicular bisector.

The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 45 minutes of calls is $23.25, and the remaining credit after 72 minutes of calls is $19.20. What is the remaining credit after 79 minutes of calls?

A sample of 300 g of lead-210 decays to polonium-210 according to the function given by A(t) = 300e^-0.032t, where t is time in years. What is the amount of the sample after 60 years (to the nearest g)? 2046 g 44 g 230 g 32 g

The population of Ukraine in 2015 was 44.4 million and the expected continuous annual rate of change k of the population is -0.006. (a) Find the exponential growth model P = Ce^kt (b) Use the model to predict the population of the country in 2031. ( (c) Discuss the relationship between the sign of k and the change in population for the country.

The approximate areas of South Carolina and Puerto Rico are listed below: South Carolina: 8.29 × 104 square kilometers Puerto Rico: 5.33 x 10³ square kilometers What's the difference between the areas of the two states? Express your answer using scientific notation.

Martina rents a room in her home to guests. She charges a $25 flat fee per night for one person. Additional guests are welcome to stay, but she charges $10 per person. She expects guests to check out by 10 a.m. and charges an extra $5 per hour for late checkouts. Select the linear equation that correctly represents how much Martina collects for one night of stay in her home. A) c+ 25 = 10p + 5h B) c= 25 +10+5 C) c= 25-10p - 5h

Think about the meaning of relative to. Then rephrase this sentence in your own words: The altitude of the bird is 4 feet relative to the rooftop.

In a busy flu season, the rate of infection on a college campus is proportional to the product of the number of people who have the flu and the number who do not have the flu. Let P be the total population and let F be the number of people who have the flu. Which differential equation models this event? a. dF/dt = kF (P-F) b. dF/dt = e^k(P-F) c. dF/dt = k(P-F) d. dF/dt = kP(P-F) e. None of these

Determine f^-1 if f (x) = x+1/2-2 where ≠ 2 f^-1 (x) = x-2/x+1 f^-1 (x) = x-1/x+2 f^-1 (x) = 2x+1/x-1 f^-1 (x) = x-1/2x+1

Find the rate, or speed, as a ratio of distance to time. 1560 yd, 8 hr The rate is Type a whole number or decimal rounded to the nearest hundredth

Write the negation of the following conditional statement: "If you pass this course, you will graduate this semester." If you graduate this semester, then you pass this course You don't pass this course, and you do not graduate this semester If you don't pass this course, then you do not graduate this semester You pass this course, and you graduate this semester You don't pass this course, or you graduate this semester If you do not graduate this semester, then you don't pass this course You don't pass this course, and you graduate this semester You pass this course, and you do not graduate this semester

To prepare for a bake-off, Charlie used 0.94 kilogram of flour each day for 3 weeks. How many grams did Charlie use in those 3 weeks? Charlie used grams of flour in 3 weeks.

City A and city B are expensive cities for business travel. On the basis of the average total costs per day for each city (which include a hotel room, car rental, and three meals), 3 days in city A and 4 days in city B cost $5560, while 6 days in city A and 3 days in city B cost $7875. What was the average cost per day in each city? What is the average cost per day in city A? What is the average cost per day in city B?

Do these three points create a right triangle? Length of AB Length of BC Length of AC • Write your answer in exact form, do not use decimal approximations. • To write a square root such as √15, type in 'sqrt(15)' instead of using rational exponents. • You are not required to reduce your radicals for this problem. Which side would be our candidate for the hypotenuse? . In other words, which side is the longest? • Enter one of the following: AB, BC, or AC So do these three sides satisfy the Pythagorean Theorem? • Answer yes or no. Note: You can earn partial credit on this problem. A:(-3,-3), B:(-6, -2), C:(-1,3)

Sleep apnea: Sleep apnea is a disorder in which there are pauses in breathing during sleep. People with this condition must wake up frequently to breathe. In a sample of 420 people aged 65 and over, 114 of them had sleep apnea. Part 1 of 3 (a) Find a point estimate for the population proportion of those aged 65 and over who have sleep apnea. Round the answer to at least three decimal places. The point estimate for the proportion of those aged 65 and over who have sleep apnea is Part 2 of 3 (b) Construct a 99.8% confidence interval for the proportion of those aged 65 and over who have sleep apnea. Round the answer to at least three decimal places. A 99.8% confidence interval for the proportion of those aged 65 and over who have sleep apnea is <p< Part: 2/3 Part 3 of 3 (c) In another study, medical researchers concluded that more than 12% of elderly people have sleep apnea. Based on the confidence interval, does it appear that more than 12% of people aged 65 and over have sleep apnea? Explain. Since all of the values in the confidence interval are (Choose one) lesser than/greater than 0.12, then the confidence interval contradict the claim.

Online courses: A sample of 261 students who were taking online courses were asked to describe their overall impression of online learning on a scale of 1-7, with 7 representing the most favorable impression. The average score was 5.45, and the standard deviation was 0.90. Part 1 of 2 Construct a 99.5% interval for the mean score. Round the answers to two decimal places. A 99.5% confidence interval for the mean score is <μ< Part 2 of 2 Assume that the mean score for students taking traditional courses is 5.53. A college that offers online courses claims that the mean scores for online courses are the same. Does the confidence interval contradict this claim? Explain. The confidence interval (Choose one) does/does not contradict this belief.

foot piece of siding is cut into three pieces so that the second piece is twice as long as the first piece and the third piece is four times as long as the first piece. If x represents the length of the first piece, find lengths of all three pieces. ho length of the first piece of siding is long, the longth of the second piece is long, and the length of the third piece is long.

The space probe Voyager I travels 3.255 x 108 miles in year At this rate, how far does the Voyager I travel during a period of 40 years?

You can afford a $250 per month car payment. You've found a 5 year loan at 4% interest. How big of a loan can you afford?

Before a detailed family budget can be created, your financial planner has advised you to examine the important aspects that affect a budget such as income, taxes, savings, and expenses. Work through the following questions to start thinking about these aspects of budgeting. As a student, you are able to earn extra money by assisting your neighbors with odd jobs. If you charged $10.25 an hour for your assistance, about how many hours would you need to work to earn $8,425?

A baseball is popped straight up into the air and has a hang-time of 6.25 s. Determine the height to which the ball rises before it reaches its peak. (Hint: the time to rise to the peak is one-half the total hang-time.)

One of the lamp posts at a bank has a motion detector on it, and the equation (x +15)² + (y - 12)² = 25 What is the greatest distance, in feet, a person could be from the lamp and be detected? 5 ft 10 ft 50 ft 125 ft

Which situations most likely involve the use of decimals? Choose more than one answer. Counting the number of apples in a basket Measuring a person's height in meters Calculating the price of an item after tax Predicting the next full moon Comparing the batting averages of two baseball players Estimating the weight of an elephant