Statistics & Probability
Data analysis, probability distributions, hypothesis testing, and statistical methods.
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in the federalist 78, alexander hamilton states, \a constitution is, in…
B. Marbury v. Madison (1803)
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when deciding marbury v. madison (1803), which of the following excerpt…
B. "But the great security against a gradual concentration of the several powers in the same department, consists in giving to those who administer each department the necessary c…
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the rabbit population in a certain area is 200% of last years populatio…
350
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the rabbit population in a certain area is 200% of last year’s populati…
\(\frac{700}{w}=\frac{\boldsymbol{200}}{\boldsymbol{100}}\)
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part iii: majority and supermajority the constitution requires a simple…
- What body has the power to: Congress (House of Representatives and Senate) - What margin is required for this action to occur: 2/3 majority in both chambers - Where is this desc…
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hurricane : storm :: igneous : rock based on this analogy, what can be …
B. It is a kind of rock.
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question 3 of 10 how can charts display bias? a. they can be designed t…
A. They can be designed to hide or highlight certain data.
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23. given f(x)= 2x+10 a) what does the coefficient mean? b) what does a…
a) It is the slope (rate of change: $f(x)$ rises by 2 per $x$ increase of 1). b) It is the y-intercept (value of $f(x)$ when $x=0$). c) It is the independent input variable for th…
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caline by kate chopin the sun was just far enough in the west to send i…
Something as abrupt as a punch awakens Caline.
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19. given the table assuming its linear, estimate the value when x= 10?…
1. When $x=10$, $y=15$ 2. When $x=7$, $y=1458$ 3. The solution is in Quadrants I, II, and IV 4. $k=\frac{27}{7}$, $p=\frac{7}{3}$
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how do you write 28% as a fraction?
$\frac{7}{25}$
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how do you write \\(\\frac{1}{2}\\) as a percentage? write your answer …
50%
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5. find the c.o.p. of this table: | x | y | |----|----| | 1 | 5.5 | | 2…
The Constant of Proportionality (COP) is \( 5.5 \).
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what number could the bee represent? explain or show your thinking. 0 50
The bee could represent 48 (or a number like 48, 49; the exact number depends on the number line's scale, but likely around 48 - 49, with 48 being a probable answer).
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write the fraction or mixed number as a percent. (see example 2.) 10. $…
$10\%$ ### Problem 11: $\boldsymbol{\frac{11}{20}}$ as a percent
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2. find the unit rate from this graph. miles 80 60 40 20 hours 2 4 6 8
The unit rate is 10 miles per hour.
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12. if the value of a house in 2005 was $100,000 and was valued at $140…
$\$52,000$
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racing to race carlo stopped to rest for a minute and tried to catch hi…
Carlo thinks that he is smarter than Meiya.
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14. you surveyed people about their dessert preference. (there is a ven…
a) $\boldsymbol{0.2875}$ b) No, the preferences are not independent, since $P(\text{cake}) \times P(\text{ice cream}) eq P(\text{cake} \cap \text{ice cream})$. c) $\boldsymbol{0…
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read this excerpt from ules of the game.\ \ai-ya. so shame be with moth…
looked in a way that suggests blame
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12. license plates one state requires license plates to consist of thre…
11390625
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13 the grand hawaiian hotel has 1000 rooms. use the table to the right …
a) $P(B) = 0.43$ b) $P(\text{Not }A) = 0.38$ c) $P(A \text{ and } B) = 0.38$ d) $P(A \cup B) = 0.67$ --- ### For Problem 1.4
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question solve for x. \\(\\frac{3}{2} = \\frac{x}{100}\\) answer attemp…
\(x = 150\)
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11. biking talula got a new bicycle lock that has a four - number combi…
10000 ### Part (b)
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market segments a. groups of similar consumers within a larger market a…
Market Segments: A. Groups of similar consumers within a larger market are known Channel Distribution: A. made up of all the businesses involved in completing marketing activities…
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the table shows the amount of money latasha charges customers to mow th…
LaTasha charges $10 before she begins mowing.
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an employer asks the survey question \how much money do you spend on ga…
A. The employees that drive to work were the target of her survey.
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jan is a leading player on her basketball team. she has kept track of h…
b. 19.5
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when is choosing a sample from a population least likely to be appropri…
A. when the population is small C. when the sample contains proportions of items/events/people that are different from those of the population
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marianna buys a 4 pound bag of trail mix. how many ounces of trail mix …
64 onzas
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what are the mean and mode of the data set? 37 29 36 39 43 32 29 a. mea…
C. mean: 35, mode: 29
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represent the ratio relationship using the graph. water (gallons) \tsod…
A line passing through the points $(0,0)$, $(5, 30)$, $(10, 60)$, and $(15, 90)$ on the graph, with the x-axis (Soda, gallons) and y-axis (Water, gallons), represents the ratio re…
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una fábrica registró cuántos widgets se produjeron en función del tiemp…
# Explicación: ## Paso1: Calcular sumatorios necesarios Primero, calculamos $\sum x$, $\sum y$, $\sum xy$, $\sum x^2$ y el número de datos $n$: $n = 5$ $\sum x = 1 + 2 + 4 + 6 + 8…
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a train travels 45 miles per hour. represent the relationship between d…
The relationship is represented by the linear equation $d=45t$, graphed as a straight line passing through points $(0,0)$, $(1,45)$, $(2,90)$, $(3,135)$, $(4,180)$ on the provided…
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una fábrica registró cuántos widgets se produjeron en función del tiemp…
# Explicación: ## Paso1: Calcular sumatorios necesarios Primero, calculamos los valores de $\sum x$, $\sum y$, $\sum xy$, $\sum x^2$ y el número de datos $n=5$: | $x$ | $y$ | $xy$…
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choose two equivalent ratios that describe the relationship of ladybugs…
B. 12:4, C. 6:2
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ada is making rice. the instructions call for $2\\frac{1}{4}$ cups of w…
\(\frac{3}{4}\)
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ada is making rice. the instructions call for $2\\frac{1}{4}$ cups of w…
less than
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read the lines from the poem \the dragonfly.\ link between water and ai…
The dragonfly can swim and fly.
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read the lines from the poem \the dragonfly.\ you dart into the shadow …
hides
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find the missing values in the ratio table. then write the equivalent r…
## Completed Table Values: Flour (cups): $\frac{3}{2}$ Oats (cups): $\frac{4}{3}$, $\frac{4}{9}$ ## Equivalent Ratios: $\frac{3}{4}:\frac{1}{3}$ $\frac{3}{2}:\frac{2}{3}$ $3:\frac…
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graph the function represented in the table on the coordinate plane. | …
The function is graphed by plotting the points $(-2,-3)$, $(-1,-1)$, $(0,1)$, $(1,3)$, $(2,5)$ and connecting them with a straight line on the coordinate plane.
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in baseball it is 90 feet between bases. how many yards is it between b…
30 yards
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modeling real life an oil spill spreads 25 square meters every \\(\frac…
300
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modeling real life a city dumps plastic shade balls into a reservoir to…
$\$4320$
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reasoning are the two statements equivalent? - the ratio of boys to gir…
Yes The two statements are equivalent because the ratio of girls to boys is the reciprocal of the ratio of boys to girls, and $\frac{3}{2}$ is the reciprocal of $\frac{2}{3}$.
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find the missing values in the ratio table. then write the equivalent r…
Missing Tea values (from top to bottom): 2.5, 8.75, 6.25 Equivalent ratios (in order): $3.75:1.5$ $2.5:1$ $8.75:3.5$ $6.25:2.5$
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in joes fish tank, there are 5 goldfish and 6 snails. how does the rati…
A. The ratio 5:11 compares the number of goldfish to the total number of animals.
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find the missing values in the ratio table. then write the equivalent r…
Missing values in the table (Feet column): $\frac{1}{12}$, $\frac{1}{48}$ Missing values in the table (Inches column): $\frac{3}{2}$ Equivalent ratios: $\frac{1}{2}:\frac{1}{24}$ …
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ny works at a golf shop cleaning clubs. the graph shows how many sets o…
## Part A (Graph Question) A. 1 set ## Part B (Graph Question) C. Jenny cleaned 3 sets of clubs in 6 hours. ## Question 8 $62.7 \times 0.1$: B. 6.27 $62.7 \times 0.01$: A. 0.627 $…
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mathematics—session 2: calculator 27. the table shows the height of a c…
Equation: \(y = 6.7x+71.1\) (where \(y\) represents height in centimeters and \(x\) represents age in years) Work/Explanation: We calculated the slope between the points \((2, 84.…
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the graph shows the miles per gallon of gasoline a car uses on a trip. …
the number of miles traveled for every 1 gallon of gas used
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1 select the correct answer. a student is arguing for the use of techno…
B. a sentence describing how teachers can use technology to provide students with immediate feedback
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select the correct answer from each drop - down menu. the function belo…
Initially, the tundra has \(\boldsymbol{180}\) caribou, and every \(\boldsymbol{year}\), the number of caribou increases by a factor of \(\boldsymbol{1.2}\).
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1. select all equations that are true. a ( 835 div 30 = 27\frac{5}{30} …
1. B. $604 \div 40 = 15\frac{4}{40}$, C. $724 \div 60 = 12\frac{4}{60}$ 2. Part A: 13 Part B: C. $(12 - 2) \times (4 + 9)$ 3. C. 17,976 4. B. The value of the 5 on the right is $\…
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part c the business owner bought a computer that costs $2,400 instead o…
\(v(n)=-460n + 3220\) For Part C, since the original problem of Part C does not provide the details of Method 1 and Method 2 (the depreciation methods for the computer), we can't …
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select all the equations that represent the relationship between the to…
A. \( t=\frac{7}{2}s \), D. \( s=\frac{2}{7}t \)
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alex has $70 to spend on stickers. how many sheets of stickers can alex…
20
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last weeks production at morton manufacturing was 1,600 units. this wee…
19.6% 23% 80%
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alex is thinking about buying stickers by the sheet. four sheets cost $…
$40.25$
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a laptop computer is purchased for $950. after each year, the resale va…
$401$
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9. connection to real life your school purchases a math software applic…
50 students ### Part B
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a remote - control car moves toward a wall, stops, backs up, and stops.…
E. \( \leq x\leq\) (We would fill in the specific numbers from the graph, but based on the form of the options, E is the correct form for the domain inequality as it is in the for…
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7. consider a standard deck of 52 cards. determine the number of distin…
\(9880\) #### Part b: 3 Kings
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when my best friend tells me, \andre, youre running out of time!\ he me…
D. Luisa
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find each number. round to the nearest hundredth if necessary. 1. 55% o…
1. 77 2. 49.2 3. 55.5 4. 24 5. 36.63 6. 13.86 7. 1.23 8. 6.68 9. 29.04
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find each number. round to the nearest hundredth if necessary. 1. 55% o…
1. 77 2. 49.2 4. 24 5. 36.63 7. 1.23 8. 6.68
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joe’s friend gives him a $50 gift card for an online bookstore. each we…
The rate of change (amount spent each week) is constant. We know this because the difference in the gift card balance between consecutive weeks is the same. Joe spends $6.95 each …
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a candle is 32 centimeters tall and burns for 6 hours. its height is a …
Ben calculated the rate as the absolute change in height (32 - 8 = 24 cm) divided by time (6 hours), so $\frac{24}{6}=4$ cm per hour, ignoring the fact that height decreases (so t…
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which situation has a constant rate of change? select all that apply. a…
A. On a treadmill, Jamie runs at a speed of 7 miles per hour and then walks at a speed of 3 miles per hour. (Rates: 7 miles per hour, 3 miles per hour) B. Disha is paid $8 for eve…
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3 select the correct texts in the passage. which two lines best reflect…
1. Their world was a few rooms in a dull, gray concrete flat with no yard and no trees. 2. It was a world of people who did not begin and end each day in shades of gray.
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antithesis a) the expression of one’s meaning by using language that no…
- Antithesis: C) The juxtaposition of opposing or contrasting ideas - Asyndeton: E) The omission of the conjunctions that normally join coordinate words or clauses - Irony: A) The…
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3 select the correct texts in the passage. which two lines best reflect…
1. Aside from her school and other crumbling buildings in their neighborhood, their world was a few rooms in a dull, gray concrete flat with no yard and no trees. 2. Then, pulling…
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2. a total of 49 internet users visited at least 1 of 3 websites: a new…
7
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select the correct text in the passage. which sentence best develops th…
Instead of cutting stone or pouring metal, she built her art. She deliberately sought discarded items among innovators, Nevelson distinguished herself. Instead of cutting stone or…
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2. a total of 49 internet users visited at least 1 of 3 websites: a new…
7
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school of hard knots by alex hanson the typical apprenticeship with a j…
B. "They must learn how to observe, and they must learn patience and cunning"
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ada is making rice. the instructions call for $2\\frac{1}{4}$ cups of w…
less than
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slope as rate of change let’s practice! 1.) the ratio of green marbles …
Completed ratio table: | # of blue marbles | 1 | 2 | 3 | 4 | |-------------------|---|---|---|---| | # of green marbles| 3 | 6 | 9 | 12 | The rate of change (slope) is $\boldsymbo…
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read this portion of tricia’s text: i understand that our city needs ad…
A. by explicitly listing other ways of raising money
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a customer is buying bath towels and hand towels and can spend no more …
The top-most graph (with the shaded region bounded by the line connecting (15, 0) and (0, 24), the x-axis, and y-axis, including the area above the line's lower side within the no…
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question 30 according to marx, social solidarity was based on which of …
D. class
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question 29 egalitarian status refers to ○ social position in a class h…
social position in an unranked social group
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distribution patterns several basic distribution patterns should be loo…
Histogram a - Unimodal Histogram b - Skewed right Histogram c - Bimodal Histogram d - Multimodal Histogram e - Skewed left
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jump to level 1 identify the box plot that corresponds to the following…
(b) The orange box plot with outlier at 1, minimum 22, Q1 25, median 33, Q3 41, maximum 55
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jump to level 1 given the box plot, complete the five - number summary …
Minimum: 10 Q1 (first quartile): 15 Median: 18 Q3 (third quartile): 20 Maximum: 22 Outlier: 2
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participation activity 1.7.4: characteristics of a box plot. match the …
The minimum value appearing in the data set: 1 The maximum value appearing in the data set: 10 The median value of the data set: 2.5 The number of data points in the data set: Unk…
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jump to level 1 the following histograms show distributions of house pr…
- The distribution for the East has a higher median than the distribution for the North. - The distribution for the East is symmetric.
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jump to level 1 the following output is from a sample of median home pr…
117.43 The typical difference between a data value and the mean 380.00 The spread between the maximum and minimum data values
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720446 5819272 qx3uy? jump to level 1 children per household column1 me…
- What does the value labeled "Count" represent? The number of households sampled - What does the value labeled "Mean" represent? The average number of children per household - Wh…
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1) what is the median of the dataset 1, 4, 5, 9, 11? 6 5 2) what is the…
1) 5 2) 4 3) 4 4) -1
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1) what is the mean of the dataset 12, 1, 2? 2) what is the mean of the…
1) 5 2) 4 3) 2.5 4) 6
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the two - way table shows the medal count for the top - performing coun…
To determine the correct statement, we analyze each option using the two - way table data: ### Option 1: Probability that a randomly selected silver medal was awarded to Great Bri…
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challenge activity 1.4.2: survey sampling 720446 8019272 cx3quy7 jump t…
Population
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challenge activity 1.4.2: survey sampling. 720226 8019272 zx3xqy7 jump …
Inferential Statistics (Confidence Interval Estimation)
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jump to level 1 determine whether the sampling method used is more like…
Overestimate
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match each description to the correct sampling method. how to use this …
- Cluster sampling: A major polling company in the United States randomly selects Alaska, Illinois, Texas, Florida, and Pennsylvania as the states from which to select households …
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how to use this tool systematic sampling cluster sampling stratified sa…
1. Cluster sampling → A major polling company in the United States randomly selects Alaska, Illinois, Texas, Florida, and Pennsylvania as the states from which to select household…
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a is a ratio that compares two different quantities, with one of the qu…
unit rate ### 2. Second Question
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participation activity 1 4.4: types of bias. match each description to …
1. Social desirability bias: A survey asking how often respondents send text messages while driving routinely underestimates the actual frequency of texting while driving. 2. Unde…