Statistics & Probability
Data analysis, probability distributions, hypothesis testing, and statistical methods.
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which value can be added to the set below without changing its mean? {4…
15
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which statement best describes the interquartile range of this set of w…
the difference between the second and fifth elements of the set after it has been ordered from least to greatest
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29 jerry goes to a theme park to ride the roller coasters. the theme pa…
Entry fee: \(\$15\), One roller coaster ride: \(\$4\)
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round to the nearest hundred. 8942 8942 rounded to the nearest hundred …
8900
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cars sold month\tadmiral autos\tcountywide cars jan\t4\t9 feb\t19\t17 m…
- The mean number of cars sold in a month is the same at both dealerships. - The total number of cars sold is the same at both dealerships.
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swati played eight basketball games this season. her point totals for e…
B. 8
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which best describes a strong thesis statement in an informative essay?…
It combines the topic of the essay with the writer's viewpoint.
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what is the difference between the mean and the median of the data set?…
0
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12 mr. weiss has decided he needs a gym membership. the following graph…
\( y = 50x + 200 \)
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which set has the greatest range? {10, 14, 8, 19, 22, 13, 44} {19, 16, …
The set \( \{12, 6, 24, 20, 44, 15, 29\} \) has the greatest range.
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when writing an informative essay, the best way to make sure internet i…
B. URLs ending in.gov,.org, or.edu (assuming the second option from the top - left is labeled B; if the original options had labels, use the correct label with the text. If not, d…
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the head of the math department compared the scores of students in two …
C. The range of scores in Ms. Biren’s class is greater than the range of scores in Mr. Hayes’s class.
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a poll of 160 people determined that 139 had subscriptions to the hardc…
2
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by tracking births, deaths, immigrants, and emigrants, scientists can m…
18
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suppose p is the set of all students at west high school, with a the se…
A. All students at West High who are in the military cadets but are not on the archery team
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madison bought a pounds of apples and b pounds of bananas and spent a t…
\( 0.60a + 1.75b = 10.38 \)
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students in mr. lyle’s class voted for their favorite spirit-week theme…
\(\frac{1}{3}\)
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which model shows that it rained \\(\\frac{1}{4}\\) of the days in febr…
The Right - most (third) Calendar
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two sets of data have the same measures of central tendency. are the da…
No, the data sets are not necessarily the same. Measures of central tendency (e.g., mean, median, mode) only describe the "center" of data. Two data sets can have the same central…
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plot 1 0 1 2 3 4 5 6 7 8 plot 2 0 1 2 3 4 5 6 7 8 use visual clues to d…
Highest mean: Plot 1 Highest median: Plot 1 Highest range: Plot 2 Highest interquartile ranges: Plot 2
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shade the portion of the diagram that illustrates the set. (a∪b)∩ĉ use …
To shade \( (A \cup B) \cap \overline{C} \), shade the regions: - Inside circle \( A \) but not inside circle \( C \), - Inside circle \( B \) but not inside circle \( C \), - Ins…
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album type sold per year ■ cds ■ digital which of these statements is t…
The true statements (checked options) are: - CDs have a higher mean than digital. - The range of digital is 800. - The median of CDs is 400. - Both have the same interquartile ran…
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e if the fraction of lights that are on is equivalent to \\(\\frac{1}{4…
Move the bottom - box (with 4 on bulbs and 12 off bulbs, total 16 bulbs) to the "Yes" section.
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there are two sections labeled yes and no with bulb images. the yes sec…
No (the test box belongs to "No" group)
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two-way table setup scenario: suppose we have a dataset detailing the n…
130
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driving behaviors data driving behaviors ■ speed compliance ■ phone usa…
A. city (assuming the first option is labeled as A, but based on the analysis, the road condition with highest phone usage is city)
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driving behaviors data which behavior is most common among drivers on h…
speed compliance
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math 1215 final exam 15. two brothers wish to put a new window in a bui…
(a) An opening with a width of 10 feet has an area of \(\boldsymbol{300}\) square feet. (b) The area is a maximum when the width of the opening is \(\boldsymbol{20}\) feet. The ma…
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two-way table scenario the table categorizes drivers into age groups (u…
30 - 50
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two-way table scenario the table categorizes drivers into age groups (u…
750
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question 5 (1 point) look at the graph. state whether the dependent or …
The dependent variable
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two-way table scenario the table categorizes drivers into age groups (u…
100
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two-way table scenario the table categorizes drivers into age groups (u…
They prefer not to use navigation systems.
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two-way table scenario the table categorizes drivers into age groups (u…
70% (corresponding to the option with 70%)
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izing driving statistics through conditional, marginal, or joint freque…
B. SUV
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analyzing statistics about teen drinking and stds alcohol abuse reduces…
- Drinking affects STD rates in teens. - About half of all new STD cases are found in people under the age of 24. - Nearly one - fourth of young people have STDs.
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complete parts (a) and (b) below for the following set. \\( \\bar{j} \\…
To represent \( J \cap C \) (the intersection of sets \( J \) and \( C \)) in the Venn diagram, shade the **overlapping region** of the two circles labeled \( J \) and \( C \).
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analyzing driving statistics through conditional, marginal, or joint fr…
25.10%
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analyzing driving statistics from segmented bar graphs to determine pos…
potholed road
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question 3 of 6 what does it mean when the money in your 401(k) is vest…
A. You can keep the money your employer contributed, even if you leave your job.
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question 22 of 25 these dot plots show the ages (in years) for a sample…
B. Spreads: The ages of the koi are more spread out. D. Centers: The sea turtles have a greater median age than the koi.
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analyzing driving statistics from segmented bar graphs to determine pos…
snowy road
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constructing a two-way table using driving data distribution of mileage…
0
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complete parts (a) and (b) below for the following set. \\( \\bar{d} \\…
To solve part (a), shade the region inside the universal set (rectangle) that is outside both circle \(D\) and circle \(K\) (the area not in \(D\) and not in \(K\)). For the graph…
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question 21 of 25 what is the first quartile of the data set represente…
A. 25
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constructing a two-way table using driving data distribution of mileage…
0
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constructing a two-way table using driving data car models, weights, an…
rows labeled by weight categories and columns by city mileage ranges
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clue 2: there are 9 lightbulbs arranged in 3 equal rows. how many light…
9
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question 20 of 25 the frequency table shows the number of points scored…
B. The graph with 50-59 (4), 60-69 (5), 70-79 (9), 80-89 (8), 90-99 (4) frequencies (the middle - looking graph with correct bar heights)
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question 18 of 25 these box plots show the basketball scores for two te…
A. The Wolverines’ distribution is negatively skewed, but the Panthers’ distribution is symmetric.
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1/10 according to roman law principles, what does \equality before the …
B. All citizens are treated equally regardless of social status
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how many one - to - one correspondences are there between two sets with…
a. The number of one - to - one correspondences between two sets with 8 elements each is \(8!=40320\). b. For two sets with \(n\) elements each: - For the first element of the fir…
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how many one - to - one correspondences are there between two sets with…
40320
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21. explain the difference between linear and exponential growth using …
Linear growth: Equation \(y = mx + b\) (constant slope \(m\)), graph is a straight line. Exponential growth: Equation \(y = a\cdot b^{x}\) (\(b>1\)), graph curves upwards. Linear:…
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the table shows the number of students in each grade at canyon middle s…
60
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question 18 of 25 these box plots show the basketball scores for two te…
A. The Wolverines’ distribution is negatively skewed, but the Panthers’ distribution is symmetric.
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andrea made a mistake when trying to find \\(\\frac{3}{4}\\) of 24. and…
18
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question 12 of 25 what are the more appropriate measures of center and …
C. Better measure of center: median D. Better measure of spread: interquartile range (IQR)
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2. the maximum weight, w, that an elevator can lift which inequality re…
C. \( w\leq2200 \)
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how can i find \\(\\frac{2}{3}\\) of 12? first, find \\(\\frac{1}{3}\\)…
For the first "?", the answer is 8. For the second "?", the answer is also 8. So, \(2\times4=\boxed{8}\), and \(\frac{2}{3}\) of 12 is \(\boxed{8}\).
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4. the graph shows the inequality x > 0.3. select all the number possib…
5.0, 0.9, 0.5
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a 2.4 foot stick casts a 1.3 foot shadow. at the same time a tree casts…
5.35 feet
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2/5 of 20 is 8. 3/5 of 20 is 12. complete the statement to explain how …
3
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question 10 of 25 on a piece of paper, draw a box plot to represent the…
B. The box - plot with minimum 12, Q1 = 20, median = 28, Q3 = 37, and maximum 41.
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next, collect \\(\\frac{3}{5}\\) of the 20 pieces of fruit. how many pi…
12
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2/5 of 20 is 8. next, collect 3/5 of the 20 pieces of fruit. how many p…
12
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9. jeff knows that his semi - trailer truck is 3.2 m high. a tunnel is …
Yes, Jeff's truck will fit through the tunnel. ### Problem 10 (Benjamin's Reimbursement)
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collect? how many pieces of fruit complete the statement. \\(\\frac{2}{…
8
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module 7 pretest: rational expressions and equations score: 8/9 answere…
For the constant of proportionality \( k \): \( k = 32.715 \) For the amount of PHP with 1400 USD: \( 45801.00 \)
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the graph to the right shows that the three components of love, namely …
\( x < 4 \) (So the set - builder notation is \( \{x|x < 4\} \))
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4. the record for the most rolls of wrapping paper sold for the school …
- \( w = 593 \): Does Not Beat Record (checked) - \( w > 593 \): Beats Record (checked) - \( w \leq 593 \): Does Not Beat Record (checked) - \( 593 < w \): Beats Record (checked) …
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now, collect \\(\\frac{2}{5}\\) of the 20 pieces of fruit. how many pie…
8
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does the equation y = 6x + 3 show a proportional relationship between x…
D. No, the graph of the equation does not pass through the origin
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solve 5.3 * 5.8 by multiplying with whole numbers. solve 8 * 5 tens, an…
The middle digit (the white box) is \(2\), and the first blue box (if we consider the first partial product \(53\times8 = 424\)) has the hundreds digit \(4\), but based on the mul…
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x - 0.8345 > 9.923 ○ x > 10.9 ○ x > 10.7575 ○ x > 9.75 ○ x > 8.8 ○ x > …
\( x>10.7575 \) (the option with this inequality)
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(i) collect \\(\\frac{1}{5}\\) of the 20 pieces of fruit. how many piec…
4
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the graph to the right shows that the three components of love, namely …
\(\{x|0 < x < 8\}\) (The answer may vary slightly depending on the exact intersection point from the graph, but this is the general form. If the graph shows intersection at \(x = …
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what is 29.698 rounded to the nearest whole number? the number 29.698 r…
30
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29. mp modeling real life the table shows population data for a communi…
s: a. The percent of change is approximately $\boxed{17.0\%}$ (rounded to one decimal place) or about $16.95\%$. b. The predicted population in 2023 is $\boxed{158000}$ (assuming …
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collect pieces of fruit that match the directions. collect \\(\\frac{1}…
4
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but a change from 40 to 20 is a 50% decrease. 29. mp modeling real life…
Approximately $16.95\%$ (or $17\%$ when rounded) ### Part 29b: Predict Population in 2023
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question 7 of 25 these box plots show the basketball scores for two tea…
D. The interquartile range (IQR) for the Bulldogs, 20, is less than the IQR for the Wolverines, 30.
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a parachutist’s rate during a free fall reaches 231 feet per second. wh…
Rate: \( 70\) \(\frac{\text{m}}{\text{s}}\) Distance fallen in 2 seconds: \( 140\) m
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a car is traveling at a rate of 50 kilometers per hour. what is the car…
Rate: \( \boldsymbol{31.25} \) mi/h Distance traveled in 5 hours: \( \boldsymbol{156.25} \) mi
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a student answers 90% of the questions on a math exam correctly. if he …
20
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question 5 of 25 the standard deviations of four data sets are shown in…
D. Data set D
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finding a percent of change identify the percent of change as an increa…
24. Increase, 100% 25. Decrease, 25% 26. Increase, ≈133.3% 27. Decrease, 70%
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juanita is testing her new model airplane. she starts its descent at an…
5
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question 4 of 25 a company conducted a survey to see whether its new to…
C. A smaller percentage of children (6%) use the toothpaste.
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question 3 of 25 a school survey asked students which candidate they su…
C. About 39%
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a new homeowner is painting the walls of a room. the walls have a total…
6
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question 2 of 25 the ages and grades of some of the 19 girls on a club …
A. | | 15 years old | 16 years old | Total | |-----------|--------------|--------------|-------| | 9th grade | 2 | 0 | 2 | | 10th grade| 7 | 10 | 17 | | Total | 9 | 10 | 19 |
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leah needs to shade \\(\\frac{1}{5}\\) of the 20 small squares in the g…
C. Remove shading from 1 small square.
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the scatter plot shows the time spent texting, x, and the time spent ex…
(a) The approximate equation of the line of best fit is $y = -1.13x + 11.13$ (answers may vary slightly based on point estimation). (b) The predicted time spent texting for a stud…
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the number of widgets that a manufacturing plant can produce varies joi…
s: 1) \( k = \boxed{12.35} \) 2) Widgets = \boxed{64220.0}
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20. mp you be the teacher your friend finds the percent increase from 1…
The friend is not correct. The correct formula for percent increase is $\frac{\text{New}-\text{Old}}{\text{Old}}\times100\%$. Here, old value is 18, so it should be $\frac{26 - 18…
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suppose that z varies jointly with x and y. find the constant of propor…
- For \( k \): \( 5.9 \) - For the variation equation: \( 5.9xy \) - For \( z \) when \( x = 22 \) and \( y = 18 \): \( 2336.4 \)
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suppose that y is inversely proportional to x. find the constant of pro…
For \( k \): \( 40 \) For the variation equation: \( \frac{40}{x} \) For \( y \) when \( x = 31 \): \( \approx1.290 \)
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a new homeowner is painting the walls of a room. the walls have a total…
B. The number of quarts needed is the area being painted divided by the area covered by a quart, rounded up to the nearest whole quart. ### Part 2 (Equation Substitution)
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club members in the comics club, \\(\\frac{1}{3}\\) of the members draw…
8