統計與機率
資料分析、機率分佈、假設檢定與統計方法。
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there are some animals at a wild animal rescue. the animal type and the…
$\frac{12}{35}$ (que corresponde a la opción 12/35)
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there are some animals at a wild animal rescue. the animal type and the…
$\frac{1}{7}$
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between which two numbers does probability fall? 0 - 1 0 - 10 1 - 100 1…
0 - 1 (la opción que indica el rango entre 0 y 1)
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a board game includes a deck of cards. the number and type of card are …
75%
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time (hour) speed (miles per hour) select from the drop - down menus to…
As the speed \(\boldsymbol{\text{increases}}\), the time \(\boldsymbol{\text{decreases}}\)
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a board game includes a deck of cards. the number and type of card are …
\(\frac{1}{6}\)
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identifying the ratio for relative frequency what is the ratio for rela…
D. $\text{relative frequency} = \frac{\text{subtotal count}}{\text{total count}}$ (assuming the options are labeled A, B, C, D in order from top to bottom: A. $\text{relative freq…
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there are 4 students running for class president. 50 students were poll…
52%
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there are 4 students running for class president. 50 students were poll…
7/25
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suppose a bag contains 12 green cubes, 5 blue cubes, and 3 yellow cubes…
3/4
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suppose a bag contains 12 green cubes, 5 blue cubes, and 3 yellow cubes…
\( \frac{3}{5} \) (la opción es "3/5")
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a survey asked 100 students what type of entertainment they wanted for …
\( a = 26 \) \( b = 53 \) \( c = 57 \)
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question 4 1 pts what is the likelihood that you can flip a coin and th…
Equally Likely
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what is the likelihood that you can pick a red marble from a bowl that …
Likely (ya que la probabilidad de sacar una canica roja es $\frac{14}{17} \approx 0.82$, lo que es mayor a 0.5, por lo que es probable).
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what is the likelihood that you can spin a spinner with 6 equal section…
Impossible
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question 1 1 pts what is the likelihood that you can pick a number that…
Certain (la opción seleccionada originalmente es correcta, ya que la probabilidad de elegir un número menor que 15 de los números del 1 al 12 es 1, lo que significa que el evento …
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the lunch coordinator is recording the drink choices of the students in…
B. gender and drink choice
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yvonne made the two - way table below showing students favorite fruits.…
18
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marcos makes a table to show how many students in his class wear glasse…
The first table (with Boys: 5, 13, 18; Girls: 7, 7, 14; Total: 12, 20, 32)
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subash created the two-way table below. teams team a team b total boys …
14
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an art teacher recorded whether the students in three of her classes pr…
C. class number and painting preference
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mr. hanai recorded the outfit choices of the students for picture day f…
C. period number and type of outfit (assuming the options are labeled A, B, C, D with C being "period number and type of outfit")
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lashaun decided to create a table to compare the number of students who…
A. column: boy, girl; row: arrive by car, arrive by bus
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the band leader is recording the number of students in the seventh and …
D. grade number and type of instrument (assuming the last option is labeled D, if the original options were labeled A - D with the last one being "grade number and type of instrum…
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grace conducted a study to show how many hours her dog sleeps after hav…
The fourth table (the one with rows "1 Hour of Exercise", "2 Hours of Exercise" and columns ">6 Hours of Sleep", "<6 Hours of Sleep", "Total")
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joseph completed the two - way table on the left about the social netwo…
no error
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analyzing student work joseph completed the two - way table on the left…
an error in Step 4
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using a two-way table to solve a problem a total of 100 students play o…
26
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consider the pattern. represent the number of shaded squares in each of…
8, 12, 16
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using two-way tables to understand data partial results of a survey abo…
- 225 students were surveyed. (True) - 25 girls always wear glasses. (False) - 15 girls sometimes wear glasses. (True) - 52 boys never wear glasses. (True) - 75 boys were surveyed…
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completing a two-way table a summer camp has 32 campers. 22 of them swi…
a = 15, b = 7, c = 5, d = 10, e = 12 (the second option: a=15, b=7, c=5, d=10, e=12)
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conjunctive adverbs: conjunctive adverbs are words or phrases that join…
1. John Lewis really wanted to attend Troy State; however, he was nervous to meet Dr. King. 2. Elwood believed in Dr. King’s words; nevertheless, he still ended up at the Nickel A…
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for each number, determine if it can be written as a fraction. then sta…
Yes, This is a repeating decimal. No, This is a decimal that neither terminates nor repeats. Yes, This is a terminating decimal. Yes, This is a repeating decimal.
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lashonda bought 4 cds that were each the same price. including sales ta…
10.4
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juan made 6 identical necklaces, each having beads and a pendant. the t…
$3.30
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2. the graph below represents the total cost of admission to an amuseme…
D. The graph is proportional because the line containing the four points passes through the origin.
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a magician has 4 rabbits. each rabbit weighs the same. the combined wei…
The equation is \( 4 \times w = 9.2 \) (or \( w \times 4 = 9.2 \))
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find percent notation for 0.373. 0.373 = □% (simplify your answer. type…
\(37.3\)
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makesha lost 52 pounds in 16 weeks. find her rate of loss in pounds per…
3.25
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519 gal of water for every 500 sq ft what is the unit rate in gallons p…
1.038
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on the first day of a semester, a film club has 90 members. each day af…
B) 130
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the water level of a lake rose by $1\\frac{1}{2}$ in. during a $1\\frac…
\(\frac{9}{10}\)
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you are almost done with this class! according to vygotsky, you are cha…
1. Zone of Proximal Development (ZPD) 2. More Knowledgeable Other (MKO) (or Scaffolder)
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stock market at the beginning of the day the stock market goes up $50\\…
\(-29\frac{3}{4}\)
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which choice completes the text so that it conforms to the conventions …
C. discharge, in part due to its sheer size, ### Question 21 (second multiple - choice question)
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the table shows the distribution, by age, of a random sample of 3030 mo…
\(\boxed{\dfrac{239}{303}}\) Wait, no, wait I think I made a mistake in the sum. Wait 1280 + 710 is 1990? No, 1280 + 700 is 1980, +10 is 1990. Then 1990 + 400 is 2390. But 640 + 1…
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elizabeth brought a box of donuts to share. there are two - dozen (24) …
\(\frac{35}{92}\)
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open-ended questions: answer in complete sentences. 1. describe how an …
An author’s syntax, or sentence structure, impacts tone: short, abrupt sentences create urgency/tense tones, while long, complex sentences convey formality/sophistication. Varied …
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use a graphing calculator to find an equation of the line of best fit f…
4. S. \( y = 3.9x + 20 \) 5. B. \( y = -4.95x - 4 \)
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7.3.ip-9 dennis made a table showing how much fruit he adds to each bow…
3
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1. a popular restaurant in the mall has conducted marketing research on…
\(11.4\%\) (or \(0.114\))
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decide whether nancy can make these arrays using all 20 tulips. - 1 row…
- 3 rows of 8 tulips: No - 5 rows of 4 tulips: Yes - 6 rows of 4 tulips: No - 20 rows of 1 tulip: Yes - 10 rows of 2 tulip: Yes
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(a) yesterday, jessica tie - dyed 3 shirts using 17.7 grams of powdered…
(a) Amount of powdered dye per shirt: \( 5.9 \) grams; Amount of water per shirt: \( 41.3 \) liters. (b) Water for 5 shirts: \( 206.5 \) liters.
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a deck of uno cards has 4 colors (suits): red, yellow, green, blue each…
21
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7.3.ip-8 of 54 cities, 7 have a lake and 23 have a river running throug…
The correct option is C. $\frac{7}{54}+\frac{23}{54}=\frac{30}{54}\div\frac{54}{54}=\frac{5}{9}$ (the first box is 30, the final answer is $\frac{5}{9}$)
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a movie theater had 1,200 visitors last month, and 1,320 visitors this …
\( 1200 + 1200 \times \frac{p}{100} = 1320 \) (or in the boxed form with the given numbers: \( 1200 + 1200 \times \frac{p}{100} = 1320 \), using the numbers 1200, +, \( 1200 \time…
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(a) a spacecraft making a flight near a newly discovered planet travele…
(a) Distance traveled each second: $\boldsymbol{12.1}$ km Amount of fuel used for each second: $\boldsymbol{60.5}$ liters (b) Fuel needed for 9 seconds: $\boldsymbol{544.5}$ liters
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about \\(\\frac{1}{6}\\) of a fruit punch is pineapple juice. about \\(…
B. $\frac{1}{6} + \frac{1}{4} = \frac{5}{12}$
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(a) a company used 24.8 kilograms (kg) of molten steel to make 4 go - k…
s: (a) Amount of steel used for each engine: $\boldsymbol{6.2}$ kg Amount of water used for each engine: $\boldsymbol{49.6}$ liters (b) Water needed for 7 engines: $\boldsymbol{34…
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a deck of uno cards has 4 colors (suits): red, yellow, green, blue each…
s: a) \(\frac{9}{36}\) b) \(\frac{16}{36}\) c) \(4\) d) \(\frac{4}{36}\) e) \(\frac{21}{36}\)
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the weekly salaries (in dollars) for 10 employees of a small business a…
# Explanation: ## Step1: Calculate the change in total sum Original salary: 1039, New salary: 729. Change in total sum: \(729 - 1039 = -310\) (decrease by 310). ## Step2: Effect o…
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in a large school, it was found that 68% of students are taking a math …
For the probability of taking a math class or an English class: \( 0.84 \) For the probability of taking neither a math class nor an English class: \( 0.16 \)
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the varied pieces at this art show really impressed me. there were many…
A. The different pieces impressed Guillermo.
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the table shows the distribution, by age, of a random sample of 3990 mo…
\(\frac{284}{399}\)
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if you randomly select a card from a well - shuffled standard deck of 5…
\(\frac{4}{13}\)
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this artist filled dozens of basins with weird liquids! she had sinks o…
A. She filled dozens of small tubs with weird liquids.
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the weekly salaries (in dollars) for 10 employees of a small business a…
# Explanation: ## Step1: Recall Mean Formula The mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\), where \(n = 10\) (number of employees). Original sum \(S_{1}=539 + 691+720 + 772…
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need a bout of sickness to get you out of a not-so-fun event? my sniffl…
A. It gives you a short attack of sickness.
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a city council consists of eight democrats and eight republicans. if a …
\(\frac{28}{65}\)
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the table shows the distribution, by age and gender, of the 28.6 millio…
0.02
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the numbers of trading cards owned by 9 middle - school students are gi…
(a) It increases by 11. (b) It stays the same.
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the table shows the distribution, by age and gender, of the 30.0 millio…
\( 0.43 \)
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a deck of uno cards has 4 colors (suits): red, yellow, green, blue each…
\(\frac{9}{36}\) ### Part (b)
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review the fourth paragraph. maps: the art of a science 1 the history o…
an explanation of how artistry is used in map creation
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a group of 7 students was asked, \how many hours did you watch televisi…
10.4
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you volunteer to help drive children at a charity event to the zoo, but…
\( 5005 \)
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system of inequalities word problems score: 0/1 penalty: 1 off question…
9
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an election ballot asks voters to select four city commissioners from a…
1365
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in a race in which five automobiles are entered and there are no ties, …
60
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a club with eleven members is to choose three officers: president, vice…
990
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a popular brand of pen is available in 10 colors and 4 writing tips. ho…
40
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a restaurant offers 5 appetizers and 12 main courses. in how many ways …
60
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at the movie theater, the jumbo - size popcorn bags decreased by 20%. i…
The new bags hold 20 cups of popcorn.
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at the movie theater, the jumbo - size popcorn bags decreased by 20%. i…
\(0.8\)
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bobby is driving in his car at a speed of 60 miles an hour. if bobby ne…
3 hours
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at the movie theater, the jumbo - size popcorn bags decreased by 20%. i…
\(? = 25\times80\%\) (or \(? = 25\times0.8\))
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at the movie theater, the jumbo - size popcorn bags decreased by 20%. i…
The point on the popcorn (cups) number line that aligns with 100% on the percentage number line is labeled 25 (since the old bags held 25 cups, which is 100% of the original capac…
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at a movie theater, the small bag of popcorn holds 8 cups of popcorn. t…
The first box is \(8\) and the blank is \(4\) (so \(8+4 =?\))
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sebastian uses a gift card to buy gaming apps. the table shows that the…
Yes
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the graph shows the cumulative frequency of points earned for a game. \…
Yes, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4 (the third option, but based on the options provided in the image, the correct option is the one…
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at a movie theater, the small bag of popcorn holds 8 cups of popcorn. t…
The two boxes should be filled with \(1\) and \(0.5\) respectively, so the expression is \(1\times8 + 0.5\times8\).
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at a movie theater, the small bag of popcorn holds 8 cups of popcorn. t…
12
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what is the approximate value of the maximized profit? (chart with x - …
1000 (The answer may vary slightly depending on the exact graph scale, but a common estimate from the graph is 1000)
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find the mean for the following group of data items. 70, 10, 40, 10, 30…
32
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on a survey, 6 students reported how many minutes it takes them to trav…
10.0
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at a movie theater, the small bag of popcorn holds 8 cups of popcorn. t…
The large bag holds 12 cups of popcorn.
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find the mean for the following group of data items. 5, 1, 4, 7, 6, 2, …
\(4.25\)
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answer each part. if necessary, round your answers to the nearest hundr…
(a) \( \approx 0.02 \) acres per pound (b) \( \approx 6.33 \) pages per minute
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at a movie theater, the small bag of popcorn holds 8 cups of popcorn. t…
\(1.5\)
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use the box plot showing the ages of those who watch the television sho…
20