final quan
If the points on a scatterplot fall on a nearly straight line sloping upward, what do the two variables have? Explain your reasoning.
A strong positive correlation. A positive correlation is when both variables increase or decreaseA together, and a strong correlation is when the two variables lie close to a straight line.
What is a filibuster? What percentage of the vote is required to end one?
A tactic for delaying or obstructing legislation by making long speeche 60% of the vote is required to end a filibuster.
Define octave. Choose the correct answer below.
An octave is a frequency range where the upper frequency is twice the lower frequency.
What is a tiling
A tiling, or tessellation, is an arrangement of polygons that interlock perfectly without overlapping. They usually have regular or symmetric patterns.
A cable network reports on a survey of America's top restaurants that found that "only nine restaurants achieved a rare 29 out of a possible 30 rating and none of those restaurants are in the Big Apple."
How the respondents were selected Who the respondents in the survey were How the quality of restaurants was measured
Why can it be misleading to give measurements with more precision than is justified by the measurement process?
It is misleading because the measurement would be perceived as having a greater amount of detail than it actually has
Consider the accompanying figure. Notice that the red segment of the second bar from the top starts farther right than the red segment of the top bar. What does this fact tell us? Choose the correct answer below.
It tells us that the sum of tuition andIt fees, plus room and board, is greater at a public four-year in-state institution than at a public two-year institution because the two segments extend farther out in the four-year in-state institution chart.
The balance owed on your credit card doubles from $2000 to $4000 in 7 months. If your balance is growing exponentially, how much longer will it be until it reaches $8000?
It will be 7 months because the balance doubles every 7 months, and $8000 is twice as much as $4000.
What is a mathematical model? Explain this statement: A model's predictions can only be as good as the data and the assumptions from which the model is built.
Mathematical models are based on relationships between quantities that change and are described by mathematical tools called functions. This statement means that more data and more solid assumptions lead to better predictions
Of the 100 senators in the U.S. Senate, 55 favor a new bill on health care reform. The opposing senators start a filibuster. Is the bill likely to pass?
NO IT IS UNLIKELY the bill will pass because those in favor DONT HAVE the needed 3/5 majority to end the fillbuster.
A proposed amendment to the U.S. Constitution has passed both the House and the Senate with more than the required 2/3 super majority. Each state holds a vote on the amendment, and it receives a majority vote in all but 10 of the 50 states. Is the Constitution amended?
NO the Constitution IS NOT amended because the amendment DOESNT HAVE the approval of the need 3/4 majority of the state
A criminal conviction in a particular state requires a vote by 2 divided by 3 of the jury members. On an 7-member jury, 5 jurors vote to convict. Will the defendant be convicted?
NO the defendant will NOT BE convicted because those voting to convict DONT HAVE the required 2/3 jury
In my experimental study, I used a sample that was larger than the population.
No, the statement does not make sense. A sample is a subset of the population and cannot be larger than the populatioN
An IRS (Internal Revenue Service) auditor randomly selects for audits 70 taxpayers in each of the filing status categories: single, head of household, married filing jointly, and married filing separately.
Stratified sampling
Do the following for the function left parenthesis time of day comma temperature right parenthesis over the course of one full day in the desert, where t is the number of hours after 6 P.M. Tuesday and F is the temperature in degrees Fahrenheit. a. Describe an appropriate domain and range for the function. b. Make a rough sketch of a graph for the function. c. Briefly discuss the validity of your graph as a model of the true function.
The domain of the function consists of all times between 0 and 24.Th The range of the function consists of all temperatures between Th 45degreesF and 110degrees The graph is a valid model because the temperature in the desert is cool at night and hot during the day.
Define first harmonic. Choose the correct answer below
The first harmonic is the same as the fundamental frequency.
Define fundamental frequency. Choose the correct answer below.
The fundamental frequency is the lowest possible frequency for a vibrating object.Th
Explain the difference between the key words 'of' and 'more than' when dealing with percentages. How are their meanings related
The key word 'more than' is used to express the relative change between the referenced value and the compared value. The key word 'of' is used to express the ratio of the compared value to the referenced value. If the compared value is P% more than the reference value, it is (100plusP)% of the reference value.
Explain in words why the plurality method always satisfies the criterion, "If a candidate receives a majority of the first-place votes, that candidate should be the winner."
The plurality method always satisfies this criterion because the plurality method is where the candidate with the most first-place votes wins.
I found a nearly perfect positive correlation between variable A and variable B and therefore was able to conclude that an increase in variable A causes an increase in variable B.
The statement does not make sense because a correlation alone is not enough evidence to establish causality.
An earthquake of magnitude 8 will do twice as much damage as an earthquake of magnitude 4.
The statement does not make sense because the amount of damage depends on how the Th earthquake's energy is released. B. The statement m
When we chart the price of milk in 1995 dollars we find that it has become slightly more expensive, but when we chart it in 1975 dollars we find that it has become cheaper.
The statement does not make sense because the same trend would be seen regardless of what kind of dollars are used.
The carrying capacity of our planet depends only on our planet's size.
The statement does not make sense because there are many factors that affect the carrying capacity that are not related to the size of the planeTh
I made a frequency table with two columns, one labeled "State" and one labeled "State Capitol."
The statement does not make sense. In a frequency table, one of the columns lists the frequency of each category, which is the number of data values in the category. The table described in the given statement does not have this column.
Baggage screening machines are 98% accurate in identifying bags that contain banned materials. Therefore, if the screening shows a bag that contains banned materials, then it almost certainly does
The statement does not make senseTh because, depending on the proportion of true positives to total positives, the actual percentage of bags that show banned materials and actually have banned materials could be quite low.
The Hill-Huntington method is superior to other apportionment methods because it requires more advanced mathematics.
The statement does not makes sense. The mathematics of an apportionment has no affect on the fairness of an apportionment method
In the last election in my home state, 48% of the people voted for a Democrat, and Democrats won 65% of our state's seats in the House of Representative
The statement makes sense because district lines could be drawn in such a way as to grant Democrats the majority inTh 65% of the districts.
We can use the fact that radioactive materials decay exponentially to determine the ages of ancient bones from archaeological sites.
The statement makes sense because if the original amount of material is known and the half-life is known, then the amount of time can be found using the exponential model.
The rate of return on our fund increased by 50%, to 15%.
The statement makes sense because if the rate of return on our fund increased by 50%, to 15%, then the previous rate is 10%, which makes sense.
Exponential growth is found even in musical scales.
The statement makes sense because the frequencies of notes in a scale increase at a fixed relative growth rate, and exponential growth has a fixed relative growth
Money in a bank account earning compound interest at an annual percentage rate of 3% is an example of exponential growth.
The statement makes sense because the money in the account grows by the same percentage, which is an example of exponential growth.
Determine whether the following variable is qualitative or quantitative. The yes/no responses on a ballot initiative to the question "Should smoking in restaurants be prohibited question mark " nothing
The variable is qualitative because yes/no responses on a ballot initiative are nonnumerical categories
Suppose you want to buy a bay window to have the proportions of a golden rectangle. If the window is to be 10 feet high, approximately how wide should it be?
The window should be 6 and one fourth feet wide because these dimensions would create a rectangle whose long side is phi times longer than its short side.
Explain the golden ratio in terms of proportions of line segments.
When a line segment is divided into two pieces, the golden ratio is the ratio of the long piece to the short piece that is equal to the ratio of the entire line segment to the long piece.
A tax increase bill has the support of 72 out of 100 senators and 286 out of 435 members of the House of Representatives. The President promises to veto the bill if it is passed. Is it likely to become law?
YES the bill IS likely to become law because it HAS the needed 2/3 super majority in BOTH THE HOUSE AND THE SENATE
A study of the academic preparation of high school language arts teachers used the teachers' mathematics scores on a standardized test for data.
Yes, there is reason. Scores on standardized tests do not necessarily predict preparation. Yes, there is reason. The study was about the preparation of language arts teachers, but uses the teachers' mathematics scores. Yes, there is reason. The variables that were measured are not identified.
A study done at the Center for Disease at a certain university tracked 18 comma 120 asymptomatic patients with a certain disease who started therapy at different points in the progression of the infection. It was discovered that asymptomatic patients who postponed antiretroviral treatment until their disease was more advanced faced a higher risk of dying than those who had initiated drug treatment earlier. Complete parts a. through c. below.
a. Identify the population and the population parameter(s) of interest. Choose the correct answer below. -The population is all asymptomatic patients with the disease who have undergone treatment. The population parameters are the survival ratesnbsp and the times at which treatment began. b. Describe the sample and sample statistic for the study. Choose the correct answer below. -The sample is 18 comma 120 asymptomatic patients with the disease. The sample statistics are the survival ratesnbsp and the timesnbsp at which treatment began for those in the sample. c. Identify the type of study. Choose the correct answer below. -Observational study
Consider a study designed to learn about the social networks of all college freshmen, in which researchers randomly interviewed students living in on-campus dormitories. How will the study suffer due to the way this sample was chosen?
it will suffer from selection bias. Selecting students living in on-campus dormitories may not accurately reflect the population.
The number of times the average person's heart beats in a day
86,400; assuming an average person's heart beats once a second