Math CH 3 Review Quiz, CH 12 Quiz, CH 10 Practice Test, CH 10 review quiz, Math CH 9 practice test, Practice Test, Unit 4 Quizzes, Final Math Questions
According to a news publication, the following are five popular "maintenance" activities performed as summer approaches; 1 Prep the car for road trips; 2 Clean up the house or apartment; 3 Groom the garden; 4 Exercise the body; 5 Organize the wardrobe. The following data are the responses of 30 people who were asked, on June 1st, how many of the five they had accomplished. Complete parts (a) through (c) below.
(a) Construct frequency and relative frequency distributions. Number x Frequency f Relative Frequency StartFraction f Over n EndFraction 0 9 30% 17 23% 2 5 17% 3 5 17% (Round to the nearest integer as needed.) 4 13%(Round to the nearest integer as needed.) 5 3 10%(Round to the nearest integer as needed.) (b) Construct a histogram. Choose the correct graph below.
For the following list of data, calculate (a) the mean, (b) the median, and (c) the mode or modes (if any). 1.8,5,6.3,8,8,4.8,2.8,4.8
(a) The mean is 5.2. (Round to the nearest tenth as needed.) (b) The median is 4.9. (c) Select the correct choice below and fill in any answer boxes within your choice. Mode
The accompanying table includes only countries in the top ten in a certain year for both production and consumption of energy. (Energy units are quadrillion Btu.) Population is for midyear of a certain year, in millions. The given box plot shows population in million people. Complete parts (a) through (c) below.
(a) What does the box plot for population indicate about the central tendency of the population data? The median is 250 million people.(Type an integer or a decimal. Round to the nearest ten as needed.) (b) What does the box plot for population indicate about the dispersion of the population data?The range is 1330million people (Type an integer or a decimal. Round to the nearest ten as needed.) (c) What does the box plot for population indicate about the location of the middle half of the data items of the population data? The middle half of the data items extend from 150 to 1200 million people
Elizabeth and Angela skate for their college speed-skating team. In the last race, Elizabeth skated the 500 dash meter race in 59seconds. The average for this race is 65 seconds with a standard deviation of 4.0 seconds. Angela skated the 1000-meter race in 135 seconds. The average for this race is 140 seconds with a standard deviation of 10.0 seconds. Find the z dash score for each skater. Relatively speaking, which skater had the faster time?
-1.5, -0.5 Elizabeth
The mean clotting time of blood is 7.35 seconds, with a standard deviation of 0.35 seconds. The times are approximately normally distributed. What is the probability that a randomly selected blood clotting time will be less than 7 seconds? Round your answer to three decimal places as needed. A. 0.363 B. 0.156 C. 0.841 D. 0.159 This is the correct answer.
0.159
incorrect, 12.3-7 Find the standard deviation. Round to one more place than the data. Start 6 By 2 Table 1st Row 1st Column Age left parenthesis yr right parenthesis 2nd Column Frequency 2nd Row 1st Column 14 2nd Column 30 3rd Row 1st Column 15 2nd Column 25 4st Row 1st Column 16 2nd Column 42 5st Row 1st Column 17 2nd Column 33 6st Row 1st Column 18 2nd Column 47 EndTable
1.4
Determine the number of figures (of any size) in the design. Squares (of any size)
11
At one high school, the mean time for running the 100-yard dash is 15.2 seconds with a standard deviation of 0.9 seconds. The times are very closely approximated by a normal curve. Find the percent of times that are between 16.1 and 17 seconds. Round your answer to the nearest tenth of a percent. A. 12.4% B. 34.7% C. 13.6% This is the correct answer. D. 27.6%
13.6%
SPA Corporation has about 23,500 employees who serve as security guards. The average length of service for these employees is 9.3 years with a standard deviation of 4.2 years. Compute the length of service for each employee. Round to the nearest one-tenth of a year. Upper A time in service with a z-score of 1.3 A time in service with a z-score of minus 0.5
1438, 7.2
Evaluate the factorial expression. n!/r!(n-r)!, n = 38 and r = 9
163,011,640
A sports shop sold tennis rackets in 2 different weights, 3 types of string, and 3 grip sizes. How many different rackets could be sold? A. 12 rackets B. 18 rackets Your answer is correct. C. 8 rackets D. 15 rackets
18 rackets
The graph shows government receipts and outlays (both on-budget and off-budget) for 1991 minus 2001 In what years did receipts appear to climb faster than outlays?
1995,1996,1997,2001
Evaluate the factorial expression. 7! / 5!2! exclamation mark EndFraction
21
If a single card is drawn from a standard 52-card deck, in how many ways could it be a diamond or a face card?
22 ways
Find the standard deviation. Round to the nearest tenth as needed. 86,23,76,37,31,61,64,57,21
23.5
A company installs 5,000 light bulbs. The lifetimes of the lightbulbs are approximately normally distributed with a mean of 500 hours and a standard deviation of 100 hours. Find the approximate number of bulbs that can be expected to last between 290 hours and 500 hours.
2410
A company installs 5,000 light bulbs. The lifetimes of the lightbulbs are approximately normally distributed with a mean of 500 hours and a standard deviation of 100 hours. Find the approximate number of bulbs that can be expected to last less than 500 hours.
2500
Find the percent of the total area under the curve between z=0.54 and z=1.91. Round your answer to the nearest tenth of a percent.
26.7%
Find the mean for the given frequency distribution. Round your answer to the nearest tenth as needed. Start 6 By 2 Table 1st Row 1st Column Value 2nd Column Frequency 2nd Row 1st Column 136 2nd Column 1 3rd Row 1st Column 186 2nd Column 3 4st Row 1st Column 233 2nd Column 3 5st Row 1st Column 312 2nd Column 4 6st Row 1st Column 368 2nd Column 3 EndTable
267.5
Find the median for the given frequency distribution. Start 6 By 2 Table 1st Row 1st Column Value 2nd Column Frequency 2nd Row 1st Column 20 2nd Column 4 3rd Row 1st Column 30 2nd Column 6 4st Row 1st Column 40 2nd Column 5 5st Row 1st Column 50 2nd Column 3 6st Row 1st Column 80 2nd Column 1 EndTable
30
Construct a box plot from the data below. Start 6 By 5 Matrix 1st Row 1st Column 30 2nd Column 35 3rd Column 38 4st Column 39 5st Column 50 2nd Row 1st Column 51 2nd Column 54 3rd Column 54 4st Column 51 5st Column 63 3rd Row 1st Column 65 2nd Column 66 3rd Column 69 4st Column 70 5st Column 73 4st Row 1st Column 77 2nd Column 80 3rd Column 81 4st Column 81 5st Column 83 5st Row 1st Column 85 2nd Column 87 3rd Column 89 4st Column 90 5st Column 93 6st Row 1st Column 93 2nd Column 95 3rd Column 97 4st Column 99 5st Column 107 EndMatrix
30 54 75 89 107
Suppose there are 5 roads connecting town A to town B and 6 roads connecting town B to town C. In how many ways can a person travel from A to C via B?
30 ways
The normal annual precipitation (in inches) is given below for 21 different U.S. cities. Find the seventy-eighth percentile, Upper P 78. Start 3 By 7 Matrix 1st Row 1st Column 39.1 2nd Column 16.8 3rd Column 25.4 4st Column 18.6 5st Column 27.1 6st Column 27.8 7st Column 30.6 2nd Row 1st Column 15.8 2nd Column 42.6 3rd Column 18.6 4st Column 13.7 5st Column 19.8 6st Column 32.3 7st Column 10.5 3rd Row 1st Column 14.5 2nd Column 33.6 3rd Column 12.4 4st Column 35.0 5st Column 22.3 6st Column 11.8 7st Column 5 1.7 EndMatrix
33.6
How many two-digit counting numbers are either multiples of 2 or multiples of 3?
60 numbers
The test scores of 15 students are listed below. Find the third decile, Upper D 3. Start 3 By 5 Matrix 1st Row 1st Column 42 2nd Column 45 3rd Column 53 4st Column 56 5st Column 61 2nd Row 1st Column 64 2nd Column 66 3rd Column 69 4st Column 75 5st Column 77 3rd Row 1st Column 85 2nd Column 87 3rd Column 90 4st Column 94 5st Column 95 EndMatrix
61
At one high school, the mean time for running the 100-yard dash is 15.2 seconds with a standard deviation of 0.9 seconds. The times are very closely approximated by a normal curve. Find the percent of times that are between 14.3 and 16.1 seconds. Round your answer to the nearest whole percent.
68%
What was the total increase in sales for the first 6 months from 2009 to 2010?
76000
What were the total sales for 2010?
764000
DeMorgan's Laws to negation of statement 8-1=6 and 20-10 not= 7
8-2 not= 6 or 20-10=7
Big Bucks Investment Club has a portfolio that includes stocks from 15 corporations listed on the New York Stock Exchange. The closing prices (in dollars) of each stock after yesterday's trading are listed below. Start 2 By 8 Matrix 1st Row 1st Column 113 and one eighth 2nd Column 45 3rd Column 22 and one half 4st Column 53 and three eighths 5st Column 23 and one fourth 6st Column 11 and five eighths 7st Column 15 8st Column 36 2nd Row 1st Column 52 and seven eighths 2nd Column 77 and three fourths 3rd Column 62 and one eighth 4st Column 80 and three eighths 5st Column 104 and one fourth 6st Column 9 7st Column 93 8st Column EndMatrix Rank the data from lowest to highest and determine the 3rd quartile, Q3.
80 3/8
This double-bar graph shows the number of male (M) and female (F) athletes at a university over a four-year period. How many students were involved in athletics in 1989?
800
Evaluate the permutation. 14 P 14
87,178,291,200
Find the percent of the total area under the curve between z=-2.49 and z=1.19. Round your answer to the nearest tenth of a percent. A.86.8% B.11.1% C.87.7% This is the correct answer. D.11.3%
87.7%
In a certain distribution of numbers, the mean is 50 and the standard deviation is 6. What can you say about the percentage of numbers that lie between 26 and 74? Use Chebyshev's theorem to solve the problem.
93.8 %
Which box has the highest median? Four box plots are over a horizontal axis that has 11 equally spaced tick marks. A box plot labeled "A" has a box that extends from the fourth tick mark to the ninth tick mark with a dashed vertical line segment through the box at the seventh tick mark. Two horizontal line segments extend from the left and right sides of the box to between the third and fourth tick marks, and between the ninth and tenth tick marks, respectively. A box plot labeled "B" has a box that extends from between the fourth and fifth tick marks to the eighth tick mark with a dashed vertical line segment through the box at the sixth tick mark. Two horizontal line segments extend from the left and right sides of the box to the right of the third tick mark, and to the left of the ninth tenth tick mark, respectively. A box plot labeled "C" has a box that extends from the second tick mark to the left of the sixth tick mark with a dashed vertical line segment through the box to the left of the fifth tick mark. Two horizontal line segments extend from the left and right sides of the box to the first tick mark and between the sixth and seventh tick marks, respectively. A box plot labeled "D" has a box that extends from the third tick mark to the eighth tick mark with a dashed vertical line segment through the box at the sixth tick mark. Two horizontal line segments extend from the left and right sides of the box to between the second and third tick marks, and between the tenth and eleventh tick marks, respectively.
A
In a certain distribution, the mean is 90 with a standard deviation of 3. At least what fraction of the numbers are between the following pair of numbers? 81 and 99
At least eight ninths of the numbers in the distribution are between 81 and 99.
Given a group of students: Upper G = {Allen, Brenda, Chad, Dorothy, Eric} or G = {A, B, C, D, E} , list and count the different ways of choosing the following officers or representatives for student congress. Assume that no 1 can hold more than one office. 3 representatives, if 2 must be female and 1 must be male
BDA,BDC,BDE: 3
Consider the following counting problem. 8 women and 7 men are waiting in line at a movie theater. How many ways are there to arrange these 15 people amongst themselves such that the 8 women occupy the 1st 8 places and the 7 men the last 7 places? To solve this problem, which of the following rules would you use?
Both the permutations rule and the fundamental counting principle
Consider the chart to the right. What is the greatest single expense category? To the nearest degree, what is the central angle of that category's sector?
Choose the correct answer below and fill in the answer box to complete your choice. (Round to the nearest degree as needed.)
Determine whether the statement is true or false. The negation of "If it is winter, it is cold " is "If it is winter, it isn't cold."
Choose the correct answer below? False
Consider the selection of a 13 card bridge hand. Is this a combination, a permutation, or neither?
Combination
The accompanying data are the daily round-trip distances to school (in miles) for 30 randomly chosen students attending a community college in a certain state. Construct a stem-and-leaf display for the given data in the accompanying table. Treat the ones digit as the leaves. For any single-digit data, use a stem of 0.
Construct a stem-and-leaf display for the given data.
Classify the random variable as either discrete or continuous. The voltage-power production of a nuclear power plant
Continuous
Classify the random variable as either discrete or continuous. The number of freshmen in the required course, English 101
Discrete
Classify the random variable as either discrete or continuous. The braking time of a car
Discrete
A company has 15 employees with a salary of $21 comma 300, 9 employees with a salary of $24 comma 000, 18 employees with a salary of $27 comma 000, 3 employees with a salary of $31 comma 000, 5 employees with a salary of $37 comma 700, and 1 employee with a salary of $147 comma 500.
Find the mean salary for the employees. The mean salary for the employees is $28,400
Write the statement in the form 'if p, then q.' All natural numbers are real. choose statement that best rewrites the sentence in the specified form
If a number is natural, then it is always real
Let s represent 'she has a pet ocelot,' let t represent 'he trains tigers,' and let r represent 'they raise hamsters.' Express each compound statement in words. t -> ~r
If he trains tigers, then they do not raise hamsters
Write the negation of the statement. If it is not purple, then it is a cucumber .Choose the correct negation below:
If it is not purple and it is not a cucumber.
Let s represent "she paints for a living," let t represent "he fixes boats," and let r represent "they collect classics." Express the compound statement in words. What are the words that express the conditional statement
If she does not paint for a living, then he fixes boats.
Rewrite the following statement using the if ... then connective. Rearrange the wording or add words as necessary. You can afford it if you see it on the television.
If you see it is on the television then you can afford it.
Use one of De Morgan's Laws to write the negation of the statement. It is June and there is no rain. What is the negation
It is not June and there is rain.
Is the midquartile necessarily the same as the midrange? Answer yes or no and explain your answer. The definitions of midquartile and midrange are given below. Midquartile equals StartFraction Upper Q 1 plus Upper Q 3 Over 2 EndFraction Midrange equals StartFraction minimum item plus maximum item Over 2 EndFraction
No counterexample is 1,10,11,12,13
Write a negation for the following statement. Some shows are longer than this show.
No shows are longer than this show
In a calculus class, Jack Hartig scored 6 on a quiz for which the class mean and standard deviation were 4.5 and 1.9, respectively. Norm Alpina scored 5 on another quiz for which the class mean and standard deviation were 3.8 and 1.8, respectively. Relatively speaking, which student did better? Make use of z-scores.
Relatively speaking, Jack scored better on his quiz.
Write the negation of the statement. No planes have three wheels.
Some planes have 3 wheels
A teacher gives a test to a large group of students. The results are closely approximated by a normal curve. The mean is 74 with a standard deviation of 5 The teacher wishes to give A's to the top 8 % of the students and F's to the bottom 8 %. A grade of B is given to the next 15%, with D's given similarly. All other students get C's. Find the bottom cutoff (rounded to the nearest whole number) for a B. (Hint: Use a table of areas under the standard normal curve to find z-scores from known A-values.)
The bottom cutoff for a B is 78
The accompanying bar graph shows the gross domestic product for a certain country over a six-year period. About what was the gross domestic product in Year 4?
The gross domestic product in Year 4 is about $14,700 billion.
The stem-and-leaf display represents scores achieved on a 100-point biology exam by the 32 members of the class. Identify the mean, median and mode for the data represented. A stem hyphen and hyphen leaf plot has the following data, where the stems are listed first and the leaves are listed second: 4, 7; 5, 1 4 8; 6, 2 3 3 4 4 8 8; 7, 0 1 3 3 4 8 8 8 9; 8, 0 1 2 3 4 8 8; 9, 0 1 3 3 8. 4 75 1 4 86 2 3 3 4 4 8 87 0 1 3 3 4 8 8 8 98 0 1 2 3 4 8 89 0 1 3 3 8
The mean for the data is 74.6. (Round to the nearest tenth.) The median for the data is 76. (Type an integer or a decimal.) The mode for the data is 78.
While doing an experiment, a physics student recorded the following sequence of elapsed times (in seconds) in a lab notebook. 2.12, 26.7, 2.96,2.05, 2.77,2.21, 2.33 When reviewing the calculations later, the student decided that the entry 26.7 should have been recorded as 2.67 and made that change in the listing. Find the mean for the new list.
The mean is approximately 2.44 seconds.
Six people were asked to determine the amount of money they were carrying, to the nearest dollar. The results were $38, $64, $46, $58, $41 and $47 Compute the mean and standard deviation for the sample. Then multiply each amount by 2,and compute the mean and standard deviation for the new sample.
The mean is $49.00 (Round to the nearest cent as needed.) The standard deviation is $10.04(Round to the nearest cent as needed.) The data sample is then multiplied by 2. The mean of the new data sample is $98.00. (Round to the nearest cent as needed.) The standard deviation of the new data sample is $20.08
On the right are the numbers of customers served by a restaurant on 40 consecutive days. (The numbers have been ranked lowest to highest.) Find the 4 Superscript th decile.
The number of customers representing the 4 Superscript th decile is 63.
Suppose 120 geology students measure the mass of an ore sample. Due to human error and limitations in the reliability of the balance, not all the readings are equal. The results are found to closely approximate a normal curve, with mean 82 g and standard deviation 2g. Use the symmetry of the normal curve and the empirical rule as needed to estimate the number of students reporting readings between 78g and 86g.
The number of students reporting readings between 78g and 86g is 114
Find the percent of area under a normal curve between the mean and - 1.08 standard deviations from the mean. (Note that positive indicates above the mean, while negative indicates below the mean.)
The percentage of area under a normal curve between the mean and minus 1.08 standard deviations is 36.0%.
Find the range and standard deviation of the set of data. 34, 25, 29, 28, 28, 31,28
The range is 9. The standard deviation is 2.828
The table below shows commonly accepted percentages of occurrence for the various letters in English language usage. (Code breakers have carefully analyzed these percentages as an aid in deciphering secret codes.) For example, notice that E is the most commonly occurring letter, followed by T, A, O, N, and so on. The letters Q and Z occur least often. Referring to Figure 5, would you say that the relative frequencies of occurrence of the vowels in the figure 5 were typical or unusual? Explain your reasoning.
The relative frequencies were typical. deductive reasoning
If your calculator finds both kinds of standard deviation, the sample standard deviation and the population standard deviation, which of the two will be a larger number for a given set of data? (Hint: Recall the difference between how the two standard deviations are calculated.) Fill in the blank below.
The sample standard deviation will be a larger number for a given set of data.
Decide whether the following is a statement or is not a statement. Greenville, California is on a mountain.
The sentence is a statement because it is either true or false
Is it possible to compute the actual standard deviation for this sample? Class Limits (Frequency f0 21-25 5 26-30 8 31-35 3 36-40 21 41-45 12 46-50 35 51-55 38 56-60 20
The standard deviation cannot be calculated for the given
Gabriel and Lucia took a road trip across the country. The room costs, in dollars, for their overnight stays are listed in the accompanying table. Find the standard deviation of the distribution.
The standard deviation of the distribution is $55.47.
Refer to the groups of art labeled A, B, and C, and identify by letter the group or groups that are satisfied by the given statement involving a quantifier. No picture does not have a frame.
The statement is satisfied in group C.
Refer to the groups labeled A, B, and C, and identify by letter the group or groups that are satisified by the given statement involving a quantifier. At least one circle is not filled in with black.
The statement is satisfied in A and B
Give the number of rows in the truth table for the following compound statement.
The truth table consists of 128 rows
If the truth table for a certain compound statement has 16 rows, how many distinct component statements does it have?
The truth table has 4 distinct component statements.
Decide whether the following statement is true or false. "Given that p is true and ~q is false, the condition p -> q is true."
True
Draw a circuit representing the following statement. Simplify if possible. (~s^r) v s
What is a circuit representing the statement? Simplify the statement if possible s v r
The table on the right shows last initials of basketball players and the number of games played by each. Find the z-score for player Upper H's games played.
What is player Upper H's z-score? 0.64
Write a logical statement representing the circuit to the right. Simplify the circuit if possible.
What is the logical form for the given circuit? (~q^~p)vr Simplify the circuit. Choose the correct answer below? The circuit cannot be simplified further
In nutrition, the recommended daily allowance (RDA) of a vitamin is a number set by the government as a guide to an individual's daily vitamin intake. Actually, vitamin needs vary drastically from person to person, but the needs are very closely approximated by a normal curve. To calculate the RDA, the government first finds the average need for vitamins among people in the population and then the standard deviation. The RDA is defined as the mean plus 2.5 times the standard deviation. Find the recommended daily allowance for a vitamin if the mean need and standard deviation are as follows. mean needequals 800 unitsstandard deviationequals 53 units
What is the recommended daily allowance for the vitamin? 932.5 units
Use the system shown to the right for assigning grades to students. Is the system more likely fair in a large freshman class in psychology than in a graduate seminar of five students?
Yes, because in a large freshman
Write the following statement as an equivalent statement that does not use the if-then connective. Remember that p -> q is equivalent to ~p v q. If you scratch my back, I'll scratch yours.
You do not scratch my back or i will scratch yours
Two samples are given. Find each sample's a) standard deviation and b) coefficient of variation. Then decide c) which sample has the higher dispersion, and d) which sample has the higher relative dispersion.
a) What are the sample standard deviations? sSubscript Upper A equals2.68 (Do not round until the final answer. Then round to the nearest hundredth as needed.) sSubscript Upper B equals3.74 (Do not round until the final answer. Then round to the nearest hundredth as needed.) b) What are the sample coefficients of variation? VSubscript Upper A equals55.9 (Round the final answer to the nearest tenth as needed. Round all intermediate values to the nearest thousandth as needed.) VSubscript Upper B equals62.4 (Round the final answer to the nearest tenth as needed. Round all intermediate values to the nearest thousandth as needed.) c) Which sample has the higher dispersion?
In a certain distribution of numbers, the mean is 50 and the standard deviation is 6. What can you say about the fraction of numbers that lie between 32 and 68? Use Chebyshev's theorem to solve the problem.
at least 8/9
Identify the variable quantity as discrete or continuous. the number of heads in 50 tossed coins
discrete
Decide whether the following statement is compound. Joan's mother likes to wrap gifts and she gives many to friends
is the statement a compound statement? Yes
Decide whether the statement is compound. My backpack is red. Choose the correct answer below.
not compound
The "skewness coefficient" is defined as shown below, where x overbar is the mean, Upper Q 2 is the second quartile, and s is the standard deviation. SK equals StartFraction 3 times left parenthesis x overbar minus Upper Q 2 right parenthesis Over s EndFraction Is this a measure of individual data items or of the overall distribution?
overall distribution
The mean, as a measure of central tendency, is highly sensitive to extreme values. Which measure of dispersion would be more sensitive to extreme values?
range is more sensitive to extreme values. The range is defined as difference between the 2 most extreme....
Decide whether the following is a statement or is not a statement. 2 + 6 = 8 and 5 + 6 not equals 5
statement
Construct a truth table for the given statement. Identify whether the statement is a tautology. (p v q) -> (q v p) Construct a truth table.
statement is a tautology, since it is true for all combinations of truth values of the components
Use truth tables to decide whether the pair of statements is equivalent. q->p; ~q^p
the statements are not equivalent. when both p and q are true, the statements have different truth values
Let p represent the statement "I get an Upper A" and q represent the statement "I graduate". Convert the following compound statement into symbols. Upper I get an A or I do not graduate.
the symbolic form is p v ~q
Let u represent the statement "Upper I eat bananas" and t represent the statement "Upper I work hard". Convert the following compound statement into symbols. Neither Upper I eat bananas nor Upper I work hard
the symbolic form is ~(uvt)
Let p represent the statement "The vest is tan " and let q represent the statement "The scarf is brown." Translate the symbolic compound statement ~p ^ q into words.
the vest is tan and the scarf is brown
Let p represent a true statement and let q represent a false statement. Find the truth value of the given compound statement. p v q
true
If pv(q^~q) is true, what must be the truth value of p?
truth value or p? true
Find the z-score that best satisfies the condition. 36% of the total area is to the left of z.
z= -0.36
If I do not eat bananas, then I do not get an A. Symbolic form:
~p -> ~q
