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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a cyclist rides her bike at a rate of 9 kilometers per hour. what is th…
Rate: $\frac{3}{20}$ $\frac{\text{km}}{\text{min}}$ Distance traveled in 2 minutes: $\frac{3}{10}$ km
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a cyclist rides her bike at a rate of 9 kilometers per hour. what is th…
Rate: $\frac{3}{20}$ $\frac{\text{km}}{\text{min}}$ Distance traveled in 2 minutes: $\frac{3}{10}$ km
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find the unit rate. 8750 steps every 1.25 hours the unit rate is □ step…
7000
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solving a ratio problem determine how far the vehicle travels in 3 hour…
360
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solving a ratio problem determine how far the vehicle travels in 3 hour…
150
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determine how far the vehicle travels in 3 hours. a train travels 10 mi…
120
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a car is traveling at a rate of 39 miles per hour. what is the cars rat…
Rate: $\frac{13}{20}$ $\frac{\text{mi}}{\text{min}}$ Distance traveled in 5 minutes: $\frac{13}{4}$ mi
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carries smartphone plan with stark mobile includes unlimited talk and t…
No, \(x\) and \(y\) do not have a proportional relationship.
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school every day. at the beginning of this school year, dakota was exci…
No
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a machine produces 264 bolts in 42 minutes. at the same rate, how many …
49 minutes
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maya drove 420 miles using 18 gallons of gas. at this rate, how many ga…
15.3 gallons
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(b) customers of a certain credit card earn points for using the card. …
Correct description: Each dollar spent appears to earn the same number of points. Predicted number of points for spending $10: 100
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we spend the whole day exploring. we get moon rocks to bring back. the …
B. A small act of kindness can mean a lot to someone.
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essential question: how do percents show the relationship between quant…
First proportion: $\frac{\boldsymbol{12}}{100}=\frac{x}{\boldsymbol{18}}$ Then, $\frac{\boldsymbol{12}}{100}\cdot\boldsymbol{18}=\frac{x}{\boldsymbol{18}}\cdot\boldsymbol{18}$ The…
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choose the correct description. ○ the price for each pound of tuna is n…
Correct description: Each point appears to give the same number of tickets. Predicted number of tickets for getting 8 points: 56
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exercice 1 60 points — pour chacune des études suivantes donner a) l’un…
s (Résumés par étude) : ### Étude 1 a) Citoyen de Winnipeg b) Tous les citoyens de Winnipeg c) Échantillonnage d) 500 citoyens de Winnipeg e) Restaurant préféré f) Différents rest…
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predicted cost for 9 people: $63 (b) a train travels from city a to cit…
Correct description: The train does not always go the same distance each minute. Predicted amount of time to travel 32 kilometers: 8 minutes
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3. in preparation for a hot dog eating contest, a competitive eater com…
36.26 (or 36 if rounding to a whole number of hot dogs)
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what does staccato mean? a. smooth b. slow c. short and detached d. ver…
C. Short and detached
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susan split \\(\frac{7}{8}\\) pounds of candy among 6 people. what is t…
$\frac{7}{48}$ pounds per person
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part v: music symbols & terms answer the following. 26. what does legat…
B. Smooth and connected
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in $\frac{1}{8}$ days, a construction crew built $\frac{1}{2}$ miles of…
4 miles per day
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it takes 9 minutes to fill an empty aquarium to a depth of \\(\\frac{3}…
15 minutes per meter
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part iv: true or false write t for true or f for false. 21. ___ a tie c…
F ### Question 22
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what is a montage sequence? ○ a string of shots, often with superimposi…
a string of shots, often with superimpositions and optical effects, which shows a condensed series of events
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for the experiment, determine the independent and dependent variable wi…
Independent (x - axis) is Hours Studied, Dependent (y - axis) is Exam Score (the option: Independent (x - axis) is Hours Studied, Dependent (y - axis) is Exam Score)
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the ten years 1917-1927 saw a radical transformation of the russian emp…
As a poor Russian farmer, the Bolsheviks' political ideas would be strongly appealing: - They promised land redistribution, granting access to land (a vital resource I lacked unde…
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3. analyse le tableau | x | 1 | 3 | 5 | 7 | | y | 8 | 16 | 24 | 32 | a)…
Non, cette relation n'est pas proportionnelle. ## b)
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solve for c in the proportion. \\frac{72}{84} = \\frac{42}{c} c = \\squ…
\(49\)
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question 24 of 25 zane is mixing fruit punch in a 36 - cup punch bowl f…
A valid solution is (20, 10) where \( x = 20 \) cups of fruit juice and \( y = 10 \) cups of ginger ale (the graph should show the region with \( x \geq 16 \), \( x + y \leq 36 \)…
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the data set below has a lower quartile of 13 and an upper quartile of …
The greatest value, 78, is the only outlier.
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8. a fruit punch has a ratio of 2 cups of powder mix for every 5 gallon…
a. A straight line passing through (0,0) and (5,2) on a graph with x-axis = Gallons of Water, y-axis = Cups of Powder Mix. b. 3.6 cups (or $\frac{18}{5}$ cups)
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8. a college has 19 engineering students for every 81 students enrolled…
A. 176
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how much do you grow in 5 months? 8. a fruit punch has a ratio of 2 cup…
a. A straight line through the origin with slope $\frac{2}{5}$, plotting points such as (0,0), (5,2), (10,4), with x-axis = Gallons of Water and y-axis = Cups of Powder Mix. b. 3.…
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two students compared the scores on their math tests. their results on …
- The lower quartile and upper quartile of Nadia’s data are both higher than the lower quartile and upper quartile of Ben’s data. - The median of Nadia’s data is equal to the medi…
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7. you grow 3 centimeters in 2 months. a. represent the ratio relations…
a. (To create the graph: - Label the x-axis "Time (months)" and y-axis "Growth (centimeters)" - Plot the points (0, 0) and (2, 3) - Draw a straight line through these points, exte…
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question 7 of 10 misha wants to spend some time playing guitar and usin…
To solve this, we define variables: let \( g \) be guitar time (minutes) and \( c \) be computer time (minutes). ### Step 1: Total Time Constraint Dinner is ready in 45 minutes or…
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which point represents a viable solution? graph with x-axis: apples (po…
B. (2, 12)
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question 6 of 10 a basket holds at most 15 pounds of apples and oranges…
A point like \(\boldsymbol{(4, 10)}\) (or any point in the purple-shaded region where \(x \leq 6\), \(y \geq 0\), and \(x + y \leq 15\)).
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10a) the table shows the elevation above the ground of a hang glider as…
### 10A) #### Rate of Change # Explanation: ## Step1: Recall rate of change formula The rate of change (slope \( m \)) for a linear relationship is given by \( m=\frac{y_2 - y_1}{…
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round to the nearest tenth. 22.184 round to the nearest whole numb 692.…
22.2 ### Second Sub - Question: Round 692.945 to the nearest whole number
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draw a model to represent the following problem: 4/5×1/3
To model \(\boldsymbol{\frac{4}{5}\times\frac{1}{3}}\): 1. Draw a rectangle. Divide it into 5 equal columns; shade 4 columns (to show \(\frac{4}{5}\)). 2. Divide the same rectangl…
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a corn farmer produces 40,000 bushels of corn in her first year of farm…
172,405 bushels (Option D: 172,405 bushels)
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round to the nearest tenth. 22.184 round to the nearest whole nu 692.94…
- 22.184 rounded to the nearest tenth: 22.2 - 692.945 rounded to the nearest whole number: 693 - 4.908 rounded to the nearest hundredth: 4.91
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a computer programmer makes $60,000 in her first year of working at a c…
$\sum_{n = 1}^{5}60,000(1.1)^{n - 1}$ (the second option)
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you spin each spinner and find the sum. how many different sums are pos…
6
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the drama club members buy 864 bags of popcorn to serve during the inte…
C. 36
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*write a rule for the function below: | input (e) | output (n) | | --- …
To find the output \( n \), divide the input \( e \) by 6 (or \( n=\frac{e}{6} \))
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a country commits to decreasing spending for infrastructure in various …
The graph should be an exponential decay curve with a y - intercept at $(0,12)$ (representing the initial spending of $12$ billion) and decreasing over time according to the funct…
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when planning road development, the road commission estimates the futur…
the initial population at the time of the estimation
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7) fill in the blanks using the available answer choices. a bicycle ren…
Blank 1: 6 Blank 2: 6.00 Blank 3: 5 Blank 4: 5.00 Blank 5: 6 Blank 6: 5 (For each blank: Blank 1: 6 (from the rate of change calculation). Blank 2: 6.00 (matches the rate of chang…
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g. calculate p(number less than 2). 3. determine whether each event is …
a. Just as likely to occur as not; $\frac{1}{2}$ b. Certain to occur; 100% c. Impossible to occur; $\frac{0}{1}$ d. Just as likely to occur as not; 0.5
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in order to set a staff schedule, a fast - food restaurant manager look…
The graph shown (with the orange line: steep increase, horizontal segment, slow decline) models the trend.
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at the beach, dave built a sandcastle that was $2\\ 2/5$ feet high. if …
The total height of his creation is \( 4\frac{9}{10} \) feet (or \( 4.9 \) feet).
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to create the same shade of orange, how many drops of red needed when 1…
12 ### Problem 12:
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a fountain sprays water into a pool as part of the filtration system. t…
3 (corresponding to the option "3")
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a game requires players to throw a ball into a target. the table below …
29 feet
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2. consider the square spinner shown and assume all sections are the sa…
a. 4 b. The possible outcomes are 3, 17, \(b\), and 11. c. \(S = \{3, 17, b, 11\}\) d. \(\frac{1}{4}\) e. \(\frac{3}{4}\) f. \(\frac{1}{2}\)
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kaleb jogged 4 ½ kilometers on monday and 3 2/9 kilometers on tuesday. …
$1\frac{5}{18}$ kilometers
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cool down: beginning to see daylight in a certain city in france, they …
D (the graph with a positive y - intercept and a positive slope, showing minutes of sunlight increasing as days past the equinox increase)
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assessment practice 20. mckenna spends \\(\\frac{7}{4}\\) hours mopping…
D. \(\frac{41}{8}\) hours
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practice 1. ricardo is getting dressed in the dark. he reaches into his…
a. 6 b. The possible outcomes are selecting a red pair, a brown pair, a green pair, a white pair, a black pair, or a blue pair of socks. c. Sample space: {red, brown, green, white…
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alexa recorded the grade-level and instrument of everyone in the middle…
$\frac{33}{35}$
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write complete each statement using a term from the word box. outcome p…
1. event 2. sample space 3. experiment 4. probability 5. outcome 6. simple event 7. equally likely 8. complementary events
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in a popular online role playing game, players can create detailed desi…
\(\frac{187}{208}\) (Wait, but 187 and 208: 187 ÷ 11 = 17, 208 ÷ 11 is 18.909, so no. Wait 187 = 11×17, 208 = 16×13. So no common factors. So the simplified fraction is 187/208. A…
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claire owns a small business selling ice - cream. she knows that in the…
\( \frac{3}{70} \)
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cw#8: add/subtract d next gen math no work - no credit first & last na …
1. C. 0.5 + 1.25 3. C. $(-1\frac{1}{2}) + 1.75$ 5. $15.8$
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in a popular online role playing game, players can create detailed desi…
0.03
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in a popular online role playing game, players can create detailed desi…
\(\frac{7}{310}\)
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entering a list sometimes an equation or problem will have multiple sol…
2,4,6,8
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3a) a roller skating rink charges a skate rental fee and an hourly rate…
### 3A) Rate of Change and Initial Value #### Step 1: Find the rate of change (slope) The rate of change (slope \( m \)) of a linear relationship between two points \((x_1, y_1)\)…
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2a) the table shows the distance penelope is from the park as she walks…
The rate of change is $\boldsymbol{-110}$, so Penelope is $\boldsymbol{110}$ meters closer to the park every minute. The initial value is $\boldsymbol{2480}$, so Penelope was init…
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2a) the table shows the distance penelope is from the park as she walks…
s: 2A) The rate of change is \(-110\), so Penelope is \(110\) meters closer to the park every minute. The initial value is \(2480\), so Penelope was initially \(2480\) meters from…
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a community garden is surrounded by a fence. the total length of the fe…
250
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higher order thinking kayla walked \\(\\frac{5}{4}\\) miles from home t…
$4\frac{1}{4}$ miles (or $\frac{17}{4}$ miles)
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day 1 graph each inequality on the provided number line. 1 k > 11 8 9 1…
1. For $k > 11$: Open circle at 11, arrow right. 2. For $12 \geq f$: Closed circle at 12, arrow left. 3. For $d < 6$: Open circle at 6, arrow left. 4. For $0 \leq b$: Closed circl…
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5. a vine planted today has a height of 5 feet and grows 1 foot each mo…
Yes, the height of the vine is a function of the number of months, and it is a linear function. - **Function Reasoning**: For any number of months \( m \), there is exactly one he…
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which film movement is known for its use of montage editing to create m…
Soviet Montage
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6. draw a graph of lins distance as a function of time for this situati…
The graph should have four segments: a linear increase (walking to school), a horizontal line (waiting at school), a linear decrease with a steeper slope (sprinting halfway home),…
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coins welcome to math challenge #8! this challenge is all about coins a…
12 cents ### Problem 2
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mr. adkins us history hoover’s response to the depression use pgs 430 -…
1. - Example 1: Urging businesses to avoid wage cuts - Example 2: Asking labor leaders to avoid strikes - Example 3: Establishing a committee to study economic conditions (Preside…
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7. describe what is happening in the graph. height time
The graph shows a change in height over time: height first increases rapidly, then remains constant, then increases again, then remains constant, and finally decreases rapidly to …
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how many bones does colby pack after lunch? colby packs ______ bones af…
The camp began with 18 tents.
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a bag contains 6 red tiles and 15 yellow tiles. lila removes 2 red tile…
Lila should remove 5 yellow tiles.
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4 colby packs 31 boxes in one day. he packs 12 boxes in the morning and…
19 ### Problem 6
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ken used $1\\frac{3}{8}$ cups of walnuts and $1\\frac{3}{4}$ cups of ra…
\(3\frac{1}{8}\) cups
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jen has some buttons. she gets 23 more buttons from her mom. now jen ha…
Jen began with 42 buttons. Ayanna reads 28 pages at home.
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6. draw a graph of lin’s distance as a function of time for this situat…
The graph has four segments: 1. A line with positive slope from \((0,0)\) to \((t_1,0.5)\) (walking to school). 2. A horizontal line from \((t_1,0.5)\) to \((t_1 + 5,0.5)\) (waiti…
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4. what is a red herring? * ○ a. restating your claim as your reason ○ …
4. c. something meant to distract from the topic 5. a. restating your claim as your reason 6. b. arguing against a point that has not been made
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2 which ratio is equivalent to 3 : 18? a 6 : 21 b 5 : 20 c 7 : 42 d 12 …
C. \(7:42\)
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1. sophie can type 128 words in 3 minutes. how many minutes will it tak…
13.5 minutes (or \(\frac{27}{2}\) minutes)
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51 blocks. how many blocks doe tony buy? tony buys ____ blocks. 3 jen h…
14 ### Sub - Question 2 (Jen's buttons)
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3. the graph shows the amount of water in a bathtub starting at 10:00. …
B. At 10:06 p.m., the tub was neither filling nor draining, C. The maximum amount of water in the tub was about 35 gallons, E. It took 4 minutes for the tub to drain
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write the fraction \\(dfrac{35}{45}\\) in simplest form.
$\frac{5}{7}$
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4. the table models the total cost for the flat delivery fee and purcha…
### Rate of Change (Slope) #### Step 1: Recall the slope formula The slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by \( m=\frac{y_2 - y_1}{x_2 -…
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2. this table shows a linear relationship between the age of a plant in…
B. The height of the plant increases at a constant rate of 1 cm every week. D. Age is a function of height. E. Height is a function of age.
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3. last saturday, there were 1,486 people at the cineplex. there were a…
The number of people in each theater falls between 240 and 250.
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2. arnold can do 65 push - ups in 5 minutes. how many push - ups can he…
13
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1. \\( x + \\frac{1}{4} = 2 \\frac{1}{2} \\)\ 8. \\( 4.2 > x + \\frac{3…
\( x < \frac{7}{8} \)
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fill in the missing numbers to complete the linear equation that gives …
\(y = 149x-275\)