405/0.049
> A Triangular Pattern The ancient Greeks labeled certain numbers as triangular numbers. The numbers 1, 3, 6, 10, 15, 21, and so on are triangular numbers. (a) Can you determine the next two triangular numbers? (b) Describe a procedure to determine the nex
> The Pacific Coast Highway Below is a map of California’s scenic Pacific Coast Highway. Using the scale on the map, estimate the distance between Carmel- by-the-Sea and Hearst Castle.
> A Square Pattern The ancient Greeks labeled certain numbers as square numbers. The numbers 1, 4, 9, 16, 25, and so on are square numbers. (a) Determine the next three square numbers. (b) Describe a procedure to determine the next five square numbers with
> The Cost of a Vacation The Kleins are planning a vacation in the Great Smoky Mountains National Park. Their round-trip airfare from Houston, Texas, to Knoxville, Tennessee, totals $973. Car rental is $61 per day and lodging is a total of $97 per day, and
> (a) Select a variety of one- and two-digit numbers between 1 and 99 and multiply each by 9. Record your results. (b) Find the sum of the digits in each of your products in part (a). If the sum is not a one-digit number, find the sum of the digits of t
> Currency Estimate the difference in the value of 50 U.S. dollars and 100 Mexican pesos. Assume that one Mexican peso is about 0.068 U.S. dollar.
> Find the letter that is the 118th entry in the following sequence. Explain how you determined your answer. Y, R, R, Y, R, R, Y, R, R, Y, R, R, Y, R, R, ….
> Estimating Time Donna is a long-distance runner, whose average time per mile in marathons is 9 minutes, 55 seconds. Estimate the time it will take her to complete a 26-mile, 385-yard (or ≈ 26.2-mile) marathon
> Use inductive reasoning to predict the next three numbers in the pattern (or sequence).
> Picking Strawberries Chuck hires 11 people to pick strawberries from his field. He agrees to pay them $1.50 for each quart they pick. Estimate the total amount of money he will have to pay if each person picks 8 quarts.
> A specific case that satisfies the conditions of a conjecture but shows the conjecture is false is called a _____________.
> Use inductive reasoning to predict the next three numbers in the pattern (or sequence). 1, 1, 2, 3, 5, 8, 13, 21, …..
> Estimating Weights In a tug of war, the weight of the members of the two three-person teams is given below. Estimate the difference in the weights of the teams.
> Use inductive reasoning to predict the next three numbers in the pattern (or sequence). 0, 1, 3, 6, 10, 15, …..
> Monthly Expenses Li’s total monthly expenses consist of room and board: $595; car payment: $289; gas: $120; insurance: $110; and miscellaneous expenses: $230. Estimate Li’s total monthly expenses.
> Use inductive reasoning to predict the next three numbers in the pattern (or sequence). 1, 4, 9, 16, 25, …..
> The number of months needed to save $400 if you save $23 each month
> Use inductive reasoning to predict the next three numbers in the pattern (or sequence). 5, −25, 125, −625, ….
> A 15% tip on a meal that costs $26.32
> Use inductive reasoning to predict the next three numbers in the pattern (or sequence).
> The weight of one pork chop in a package of six pork chops if the weight of the package is 3.25 lb
> The symbol ≈ means is approximately ________________ to.
> Use inductive reasoning to predict the next three numbers in the pattern (or sequence). 7, 5, 3, 1, …
> The total weight of three people on an elevator if their weights are 95 lb, 127 lb, and 210 lb
> Use inductive reasoning to predict the next three numbers in the pattern (or sequence). 5, −5, 5, −5, …..
> The cost of 5 items purchased at a hardware store if the items cost $1.29, $6.86, $12.43, $25.62, and $8.99
> Use inductive reasoning to predict the next three numbers in the pattern (or sequence). 4, 7, 10, 13, …
> The cost of 5 items at a grocery store if the items cost $7.99, $4.23, $16.82, $3.51, and $20.12
> Use inductive reasoning to predict the next three numbers in the pattern (or sequence). 1, 3, 5, 7, …
> The cost of 12 gallons of gas if one gallon costs $3.75
> Draw the next figure in the pattern (or sequence).
> The amount of money Issac spends on fast food in a year if the average amount he spends per month is $47
> If a ÷ b has a remainder of 0, then a is by ___________ b.
> Draw the next figure in the pattern (or sequence).
> The cost of dinner per person if dinner for 8 people costs $210 and they split the bill evenly
> Draw the next figure in the pattern (or sequence).
> The cost of one tire if a set of 4 tires costs $410
> Draw the next figure in the pattern (or sequence).
> 296.3 ÷ 0.0096
> Use inductive reasoning to predict the next line in the pattern. 10 = 101 100 = 102 1000 = 103 10,000 = 104
> 22% of 9116
> Use inductive reasoning to predict the next line in the pattern.
> 11% of 8221
> The process of arriving at an approximate answer to a question is called____________.
> Use inductive reasoning to predict the next line in the pattern. 15 × 10 =150 16 × 10 =160 17 × 10 =170 18 × 10 =180
> 51, 608 × 6981
> Use inductive reasoning to predict the next line in the pattern. 1 × 3 = 3 2 × 3 = 6 3 × 3 = 9 4 × 3 = 12
> 0.63 × 1523
> The type of reasoning generally used to arrive at a conjecture is called __________ reasoning.
> The type of reasoning used to prove a conjecture is called ______________ reasoning.
> 1776 × 0.0098
> The process of reasoning to a specific conclusion from a general statement is called _____________ reasoning.
> 197,500 ÷ 4.063
> Another name for the counting numbers is the ______________ numbers.
> Not getting a correct answer when making a random guess of an answer to a particular multiple-choice question on an SAT test with possible answers of a, b, c, d, e, one of which is correct.
> Not drawing a heart from a standard deck of 52 playing cards (see Figure 6.6). Figure 6.6 Playing cards in a standard 52-card deck.
> Not drawing a queen from a standard deck of 52 playing cards (see Figure 6.6). Figure 6.6 Playing cards in a standard 52-card deck.
> What is the probability of randomly selecting a day of the week whose name includes the letter “d”?
> What is the probability of randomly selecting a day of the week whose name doesn’t include the letter “y”?
> Rolling a single six-sided die and getting a result that is less than 10.
> Finding that the next baby born to a couple is a girl, given that the couple already has two children and they are both boys.
> Finding that when tossing a coin, it turns up heads, given that it has turned up heads in the previous five tosses.
> Finding that the next person you meet has the same birthday as yours (ignoring leap years).
> Finding that the next President of the United States was born on a Saturday.
> Find the probability of randomly selecting one of the test subjects and getting someone who is in Group A and passed the exam.
> Drawing an ace from a standard deck of 52 playing cards (see Figure 6.6) Figure 6.6 Playing cards in a standard 52-card deck.
> Making a correct random guess as an answer to a particular multiple-choice question on an SAT test with possible answers of a, b, c, d, e, one of which is correct.
> Randomly selecting one of the 365 days of the year and getting a day in September.
> Rolling a single six-sided die and getting an odd number (1, 3, or 5).
> Tossing two coins and getting either one head or two heads.
> How many different four-child families are possible if birth order is taken into account? What is the probability of a four-child family that has two girls and two boys?
> How many different three-child families are possible if birth order is taken into account? What is the probability of a three-child family with three girls?
> Because either there is life on Mars or there is not, the probability of life on Mars is 0.5.
> I estimate that there is a probability of 0.5 that the batteries in my calculator will need to be replaced sometime during the next 3 years.
> When randomly selecting a month, the probability of selecting a month with 32 or more days is 0.
> Find the probability of randomly selecting two different examinees and finding that they are both in Group A.
> When I toss four coins, there are four different possible outcomes that represent the event of one head and three tails.
> Does the idea of statistical significance apply to samples or populations? Briefly explain why.
> What do we mean when we say that a result is statistically significant?
> Suppose you toss a coin 100 times. Should you expect to get exactly 50 heads? Why or why not?
> A study was conducted to test the hypothesis that people can temporarily postpone death to survive a major holiday or important event such as a birthday. It was found that there were 6062 deaths in the week before Thanksgiving and 5938 in the week after
> New Jersey county clerks are supposed to use random selection to determine the order in which Democrat and Republican candidates are listed on an election ballot. Among the 41 selections listed on one county’s ballot, 40 of them showed the Democrat liste
> In a study of children injured in automobile crashes (published in American Journal of Public Health, Vol. 82, No. 3), those wearing seat belts had a mean stay of 0.83 day in an intensive care unit. Those not wearing seat belts had a mean stay of 1.39 da
> In a study by researchers at the University of Maryland, the body temperatures of 106 individuals were measured; the mean for the sample was 98.20 F. It is commonly believed that the mean body temperature is 98.60 F. The difference between the sample mea
> In a randomized controlled trial in Kenya, insecticide-treated Bed nets were tested as a way to reduce malaria. Among 343 infants who used the Bed nets, 15 developed malaria. Among 294 infants not using Bed nets, 27 developed malaria (based on data from
> The Genetics and IVF Institute conducted a clinical trial of its method for gender selection. The result showed that among 945 babies born to couples using the XSORT method of gender selection, 879 were girls. Is this result statistically significant?
> Find the probability of randomly selecting one of the examinees and getting someone who is in Group B or passed or both.
> An experiment was conducted to determine whether there is a difference in the success rates when carpal tunnel syndrome is treated with surgery or with splinting. The success rate for 73 patients treated with surgery was 92% and the success rate for 83 p
> Thirty identical cars are selected for a fuel test. Half of the cars are filled with regular gasoline, and the other half are filled with a new experimental fuel. The cars in the first group average 29.3 miles per gallon, while the cars in the second gro
> In a clinical trial of a new drug intended to treat allergies, 5 of the 80 subjects in the treatment group experienced headaches, and 8 of the 160 subjects in the control group experienced headaches.
> For a jury pool for one trial, 870 people were selected from a city population in which 79.1% are Americans of Mexican ancestry. Among the 870 selected people, 39% were Americans of Mexican ancestry.
> A commuter enters a New York City subway car near Times Square and finds that it is occupied by 50 men, all of whom are bald.
> Upon entering an aircraft that is nearly full, with 120 passengers, a traveler observes that nearly all of the passengers are adult females.
> In 10 rolls of a six-sided die, the outcome of 6 never occurs.
> In 10 rolls of a six-sided die, the outcome of 6 occurs every time.
> In preparation for a gubernatorial election in Florida, a pollster conducts a survey by randomly selecting 25 voters. He claims that the voters are randomly selected, but he finds that all of them are Independents.
> A student claims that he was not prepared for any of the ten true/false questions on a quiz, and he claims that all of his answers to those questions were random guesses. He finds that all ten of his answers were correct.
> If one of the examinees is randomly selected, find the probability of getting someone who passed the exam.
> In a clinical trial of a treatment for reducing back pain, the difference between the treatment group and the control group (which received no treatment) was found to be statistically significant. This means that the treatment will definitely ease back p
> In an experiment testing a method of gender selection intended to increase the likelihood that a baby is a girl, 1000 couples give birth to 501 girls and 499 boys. A company representative argues that this is evidence that the method is effective, becaus
