统计与概率
数据分析、概率分布、假设检验与统计方法。
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5. how many combinations of 3 playing cards (from a 52-card deck) exist…
22,100 (the option with "22,100")
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4. a bag contains 10 red pens, 15 blue pens, and 20 black pens. joseph …
45 (corresponding to the option with 45)
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a town council is conducting a survey to determine if a playground shou…
The sample is not representative of the population because families with school - aged children **are more likely** than the rest of the town’s population to want the land to be u…
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3. how many permutations of a 7-digit phone number exist, assuming that…
\(10^{7}\) (corresponding to the option \(10^7\))
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probability module exam geometry b is (bva) 25-26 / probability all cha…
15%
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ron randomly pulls a pen out of a box that contains 1 red, 2 black, and…
The option stating "The experimental probability of pulling a blue pen based on the observed frequency will get closer to \(\frac{3}{6}\) (or \(\frac{1}{2}\)) as the number of tri…
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4. tatiana has a special puzzle in which all of the pieces fit together…
\( \boldsymbol{\frac{50!}{0!}} \) (the first option)
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3. a special safe lets you choose from 7 symbols for a 4 - symbol - lon…
2401
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2. if paul has an apple, an orange, a pear, and a banana at home and he…
6
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1. if jackson is at the store and can buy any 3 fruits (the store sells…
35 (the option with 35)
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the histogram summarizes the percentage of people in each state and the…
1. For the first drop - down (about mean and median): The mean percentages of Hispanic or Latino people are greater than the median percentages. 2. For the second drop - down (lar…
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4. how many combinations without repetition are possible if n = 7 and r…
21
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2. if bill has an apple, an orange, a pear, a grapefruit, a banana, and…
20
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students in a science class roll a model car down a ramp. they repeat t…
The standard deviation of the data will **decrease** if the Trial 1 value is removed. This is because the value \( 3 \) (from Trial 1) is an outlier that increases the spread of t…
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1. if linda is at the store and can buy any two fruits (the store sells…
10
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4. how many possible codes can be formed with a lock that uses 5 number…
100,000 (corresponding to the option "100,000")
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3. if john has pairs of red, orange, yellow, blue, and green socks, how…
\( 5! \) (the option with \( 5! \))
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2. if there is a crossword that has five squares that need to be filled…
\(\frac{26!}{21!}\) (the last option)
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1. if john has pairs of red, orange, yellow, blue, and green socks, how…
\( 5^5 \) (Option: \( 5^5 \))
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a spinner is divided into equal sections of three possible colors. ther…
- Spinning a blue is: Unlikely - Spinning a yellow or red is: Likely - Spinning a (e.g., Green) is Impossible. - Spinning a Red is neither likely nor unlikely. (Note: For the "Imp…
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4. how many 4-digit passcodes can be created if each digit can be any n…
10,000 (the option with "10,000")
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3. stephen has packed 8 shirts, 6 pairs of pants and 3 pairs of shoes f…
144 (corresponding to the option with "144")
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2. if we have six decisions to make and 2 choices for each decision, ho…
\( 2^6 \) (the first option)
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going into the final exam, which will count as two tests, brandi has te…
91
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musicians can earn money when their songs are streamed online or downlo…
(Assuming drop-down options, e.g., first: ~3.6% (or 3.5% - 4%), second: ~2.7% (or 2.5% - 3%), third: decreased) First: ~3.6% (or 3.5% - 4%), Second: ~2.7% (or 2.5% - 3%), Third: d…
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3. what is the chance of landing on an even number on two of two spins?…
$\frac{1}{4}$
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1. what is the chance of landing on a number divisible by 4? options: \…
$\frac{1}{4}$ (the option corresponding to $\frac{1}{4}$)
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greg tossed a number cube and recorded the results. the table shows the…
\(\frac{1}{9}\)
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4. the students who attend memorial high school have a wide variety of …
Event \( A' \) = freshman or senior (the fourth option: Event \( A' \) = freshman or senior)
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3. the high school students who attend springfield womens academy are e…
\( 0.91 \) (the option corresponding to \( 0.91 \))
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marie made the box plot below to display a set of data. which set of da…
The third data set: 0, 5, 8, 10, 12, 13, 15, 17, 17, 25, 30, 35, 40 (assuming the option is labeled as the third one, e.g., C. 0, 5, 8, 10, 12, 13, 15, 17, 17, 25, 30, 35, 40)
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2. the high school students who attend washington preparatory academy c…
0.21
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1. the high school students who attend springfield womens academy are e…
0.50
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sam and erica are playing a board game. they spin a pointer to determin…
\(\frac{1}{4}\) (Assuming the options include \(\frac{1}{4}\); from the given options, one of them is \(\frac{1}{4}\), so the correct answer is \(\frac{1}{4}\))
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probability models quiz geometry b is (bva) 25-26 / probability all cha…
\(\frac{1}{81}\) (assuming the option with \(\frac{1}{81}\) is one of the choices, e.g., if the options include \(\frac{1}{81}\) as an option, that's the correct one)
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eli wants to know which exhibit at a science museum is the most popular…
B. every person buying a ticket to the science museum
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2. which of the following is not a type of probability model? a tree di…
D. A spinner
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probability models quiz geometry b is (bva) 25-26 / probability 1. a ja…
Yes, the game is fair because Christopher and Janet have an equal probability of winning.
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a scatter plot is shown below. a line of best fit passes through point …
The line of best fit passes through point A and, for example, (8,6) (or another appropriate point). When \( x = 9 \), the approximate \( y \)-value is between 6 and 7 (or 6.5, so …
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3. thomas wants to invite madeline to a party. he has an 80% chance of …
0.4
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2. thomas wants to invite madeline to a party. he has an 80% chance of …
84%
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1. a particular airline offers three free snack options to its passenge…
30%
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problems 16-30: write each number using scientific notation. 16 0.00052…
16. \( 5.27 \times 10^{-4} \) 17. \( 8.7 \times 10^{-9} \) 18. \( 7.9 \times 10^{-4} \) 19. \( 4 \times 10^{-10} \) 20. \( 5.008 \times 10^{-5} \) 21. \( 1.3 \times 10^{-5} \) 22.…
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4. which of the following is a biased event? the probability of pulling…
The probability of pulling a red marble from a bag with 10 red marbles, 18 blue marbles and 6 green marbles.
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3. the probability of event x is 50%. the probability of event y is 10%…
60%
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2. if both spinners are spun simultaneously, what is the probability th…
\(\frac{1}{16}\) (corresponding to the option with \(\frac{1}{16}\))
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1. spinner a and spinner b have 3 color choices each: red, yellow and b…
\(\frac{2}{9}\) (Option: \(\frac{2}{9}\))
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4. john is playing a game with two friends. using the spinner pictured,…
[1, 2, 3, 4, 5, 6, 7, 8] (the third option, i.e., the option with [1,2,3,4,5,6,7,8])
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1. taylor is playing a board game with two friends. using a single die,…
3 (corresponding to the option with "3")
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1. $5.5 \\times 10^{-2} =$ 2. $7 \\times 10^{-5} =$ 3. $2.3 \\times 10^…
1. \(0.055\) 2. \(0.00007\) 3. \(0.0000023\) 4. \(0.00629\) 5. \(0.000107\)
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2e. unit 2 review name 6. given the two - way table that shows the numb…
s: a. \(\frac{19}{84}\) (or approximately \(0.226\)) b. \(\frac{1}{6}\) (or approximately \(0.167\)) c. \(\frac{10}{19}\) (or approximately \(0.526\)) d. \(\frac{18}{31}\) (or app…
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15. solve the equation $4x - 2(x - 2) = -9 + 5x - 8$. 16. use the distr…
s: 15. \( \boldsymbol{x = 7} \) 16. \( \boldsymbol{m = 9} \) (Distribution: \( 2 \times m + 2 \times 2 \)) 17. Peter’s number: \( \boldsymbol{30} \) 18. \( \boldsymbol{x = 15} \) …
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based on the two data sets represented below, complete the following se…
The median of Data Set S is greater than the median of Data Set T. The minimum of Data Set S is greater than the minimum of Data Set T.
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8. which term refers to the way in which data is collected? data questi…
B. sampling methods
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7. choose the best reason for using the mode as the measure of central …
A. The dataset contains qualitative data.
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for the following data set, (a) draw a scatter diagram, (b) compute the…
\( r \approx 0.996 \)
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four people have lunch at a buffet restaurant, where everyone pays the …
The equation is \( 4f + 12 = 62 \) (or \( 4(f + 3)=62 \)).
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a) grace rakes leaves every day for one week. she fills the same number…
3
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grace rakes leaves every day for one week. she fills the same number of…
\( 5b + 11 = 26 \)
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question select the correct answer. the function f(x) is given by the t…
The table (identify by its position or label, e.g., if the second table has \( x = 1,2,3,4 \) and \( g(x)=5,12,31,68 \)) is the correct one. (Assuming the second option in the giv…
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select the correct graph and equation. a seltner uses 3,600 gallons of …
The correct equation is \( y = 15 - 3.6x \) and the graph should have a y - intercept of 15 (at x = 0) and an x - intercept around \( x=\frac{15}{3.6}\approx4.17 \) hours, with a …
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use the drawing tools) to form the correct answers on the provided grap…
The equation is \( y = 80 - \frac{1}{10}x \), and the graph is a line connecting (0, 80) and (800, 0) with a slope of \( -\frac{1}{10} \).
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for mexico in the mid-1800s, the mexican cession was a means of getting…
a negative consequence of the war because Mexico suffered a sizable loss of territory.
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question 2 of 5 select the correct answer | x | y | | -2 | -5 | | -1 | …
\( y = 3x + 1 \) (assuming the first option is \( y = 3x + 1 \), e.g., A. \( y = 3x + 1 \))
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linear equations and inequalities helena needs 3.5 cups of flour per lo…
2 loaves of bread and 4 batches of muffins
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why was winfield scotts victory in mexico city in 1847 significant? his…
B. His victory ended the Mexican - American War by forcing a surrender.
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ar equations and inequalities the math team wraps gifts as a way to rai…
The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow.
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linear equations and inequalities the questions in the first section on…
7
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in the early 1800s, how was the belief in manifest destiny most likely …
D. The belief in Manifest Destiny meant that the balance between free and slave states could shift as the United States expanded to the Pacific coast.
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use prefixes, suffixes, and compound words when you read a long word, i…
1. believ + able = can be believed 2. re + arrange = arrange again 3. sweat + band = band for sweat 4. different + ly = in a different way 5. any + body = any person 6. every + th…
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use prefixes, suffixes, compound words when you read a long word, it he…
1. believ + able = able to be believed 2. re + arrange = arrange again 3. sweat + band = band for sweat 4. different + ly = in a different way 5. any + body = any person 6. every …
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the first time a census was taken in the town of lynne, the population …
\((0, 901)\)
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answer each question and round your answer to the nearest tenth. 9) a m…
The width of the model house is \(13.0\) inches (rounded to the nearest tenth). ### Question 10
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for each equation, determine whether x and y are directly proportional …
(a) Constant of proportionality: \( k = -1 \) (b) Constant of proportionality: \( k=\frac{7}{5} \)
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each graph below shows a relationship between x and y. for each graph, …
Graph 1: Not proportional Graph 2: Proportional, \(y\) is \(6\) times \(x\)
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the ant by oliver herford 1 my child, observe the useful ant, how hard …
B. grabs ### Question 2
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the population of rabbits on an island is growing exponentially. in the…
330
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the population of a small town behaves according to the function $f(x) …
The population is decaying at a rate of 2% (the second option: "The population is decaying at a rate of 2%").
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dependent questions directions: for the following questions, choose the…
B. The wind is energizing and refreshing. ### Question 2 (Part B)
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which word has the closest meaning to the word treaty? a. tax b. trade …
D. Agreement
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read the passage from animal farm. on the third sunday after snowball’s…
B. Napoleon expects the animals to work harder and eat less. (Note: Assuming the options are labeled A - D with A being "The animals cannot believe that Snowball is gone", B being…
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poster created by the centers for disease and prevention to promote han…
The phrase "Handwashing is IN" means that it is in fashion for people to wash their hands.
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read the passage from animal farm. passage text: the third sunday after…
A. Snowball is used as a scapegoat D. Squealer uses glittering generalities to describe Napoleon’s tactics
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the table below shows the distribution of birth days in a random sample…
- Type of test: Chi - square goodness - of - fit test - $H_0$: Births are evenly distributed across the days of the week (or the proportion of births on each day of the week is eq…
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select the correct answer. what does it mean to be concise in business …
C. to use fewer words to clearly convey ideas
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name: vocabulary study: \story of an hour\ directions: fill in the miss…
Synonyms for "afflicted": tormented, troubled Antonyms for "afflicted": comforted, eased Sentence Practice for "afflicted": The old man was afflicted with a chronic illness. Synon…
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use the drop-down menus to explain how ken can use the model to find th…
For the expression: \(7 \times 0.3\) (assuming the number of baseballs is 7 and each is 0.3 pounds). The total weight is 2.1 pounds. But based on the options, the expression shoul…
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use the drop-down menus to explain how ken can use the model to find th…
1. To represent the weight of one baseball, 0.3 pound, Ken should shade 3 \(\boldsymbol{\text{columns (or tenths - sized groups)}}\). 2. To represent the weight of all of the base…
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write two sentences explaining how marxism differs from your understand…
- Response includes at least two sentences discussing the differences between Marxism and capitalism. - Marxism includes a command economy. - Workers own the means of production. …
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at 7 pm, the temperature outside was -5°c. what does |-5| represent in …
the number of degrees between \(0^\circ \text{C}\) and \(-5^\circ \text{C}\)
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you have decided to buy a new car, but you are concerned about the valu…
b. After 14 years, the car is worth $0.
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state the practical meaning of the slope and y-intercept for the situat…
A. 48 signifies the hourly rate, and 18 signifies the overhead charge.
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jasmine launches a model rocket from a cliff. the rocket goes up 16.8 f…
1. The change in height between the launch point on the cliff and the distance above the cliff that the rocket reaches is best represented by a \(\boldsymbol{\text{positive}}\) nu…
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at the grocery store, apples were on sale for 30 cents each, pears were…
$\$1.80$
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(u5) two jedi are having a training battle. one jedi (the master) runs …
5
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state the practical meaning of the slope and y-intercept for the situat…
c. 3.1 million is the population of the city in 1990 and 0.07 million is the increase per year in the population.
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5. one hundred people were asked about their favorite sports. part a co…
| | Males | Females | Total | |----------|-------|---------|-------| | Soccer | 19 | 31 | 50 | | Basketball| 21 | 29 | 50 | | Total | 40 | 60 | 100 | ### Part B
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6. select the appropriate linear model for the scatter plot below. a ( …
D. \( y = x - 0.5 \)
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2. the two - way frequency table shows the number of social media conta…
| | 7th | 8th | Total | |----------|------|------|-------| | 0–300 | 61% | 38% | 50% | | 300 + | 39% | 62% | 50% | | Total | 100% | 100% | 100% |
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23. 92% of 104 ≈ 26. 32% of 89.9 ≈
\( 95.68 \) (or approximately \( 96 \)) ### Problem 26: