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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lesson 20 | session 1 3 last year, a rapper performed 40 times. this ye…
a. 50 b. When we divide this year's number of performances (50) by last year's (40), we get 1.25, which is equal to 125%, confirming the answer is correct.
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nearpod by renaissance more events and shows are moving to subscription…
1. For fans, the shift to subscription/pay-to-watch models will likely create a divide: dedicated fans gain access to specialized, ad-free content, but casual fans and those with …
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solve the following system of inequalities graphically on the set of ax…
A point in the solution set is $\boldsymbol{(6, 2)}$ (or other valid points like $(8,0)$) ### Graphing Notes (for the axes): 1. For $y \geq -x+8$: Plot the line $y=-x+8$ (y-interc…
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read the graph from \career planning for high schoolers.\ annual mean w…
D. People with a degree beyond a high school diploma often earn more than $40,000 per year.
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read the graph from \career planning for high schoolers.\highest paying…
$75,000
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test prep directions: use this information to answer parts a, b, and c.…
$1\frac{41}{100}$
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read the excerpt from \career planning for high schoolers.\according to…
by presenting factual information
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the table shows the number of coins each person has in his or her pocke…
$0.28$
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xcerpt from \jesse owens olympic triumph me and hitlerism,\ by lerone b…
B. The German crowd was united in support of Owens.
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jesse owens olympic triumph over time and hitlerism,\ by lerone bennett…
C. It provides a firsthand account of how Owens's speed seemed superhuman.
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excerpt from \jesse owens olympic triumph over time and hitlerism,\ by …
C. thrilling
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end-of-unit assessment (continued)name7. two plumbing companies charge …
a. Hourly charge: $\$50$; One-time fee: $\$150$ b. Hourly charge: $\$60$; One-time fee: $\$80$ c. Yes; The costs are equal at 7 hours of work.
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the table below lists the percent of a countrys population that is fore…
$f(x)=0.0058(x-40)^2+4.3$
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end-of-unit assessment7. two plumbing companies charge for each hour of…
a. Hourly charge: $\$50$; One-time fee: $\$150$ b. Hourly charge: $\$60$; One-time fee: $\$80$ c. Yes; The costs are equal at 7 hours of work.
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the table below lists the percent of a countrys population that is fore…
$f(x)=0.0058(x-40)^2+4.3$
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the table below lists the percent of a countrys population that is fore…
$f(x)=0.0058(x-40)^2 + 4.4$
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the table below lists the percent of a countrys population that is fore…
B. [Graph showing initial decrease then steady increase]
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1. line 1: $y=-\frac{3}{2}x-4$ line 2: $5x+2y=-8$ this system of equati…
--- 1. Top System: This system of equations is: consistent dependent This means the system has: infinitely many solutions (not listed as an option, but the lines are identical) So…
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5. a football team played four quarters of a game. their total points s…
a. Yes b. No --- ### Problem 6
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lesson 1: academic vocabulary task: identify and write the following de…
| VOCABULARY | DEFINITION | MY OWN (Translation or Example) | PICTURE/EXAMPLE | |------------|------------|----------------------------------|-----------------| | aspect | One par…
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dig deeper you mix $\frac{1}{4}$ cup of red paint for every $\frac{1}{2…
a. You use 1 gallon(s) of red paint and 2 gallon(s) of blue paint. b. You use $\frac{3}{8}$ gallon(s) of red paint, $\frac{3}{4}$ gallon(s) of blue paint, and $\frac{3}{8}$ gallon…
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modeling real life you mix 0.25 cup of juice concentrate for every 2 cu…
You use 2 cups of juice concentrate and 16 cups of water.
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modeling real life an oil spill spreads 25 square meters every $\frac{1…
300
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using a venn diagram to understand the addition rule for probability e …
$P(A) = \frac{5}{8}$ $P(B) = \frac{9}{16}$ $P(A \text{ or } B) = \frac{15}{16}$ $P(A \text{ and } B) = \frac{1}{4}$ $P(A) + P(B) - P(A \text{ and } B) = \frac{15}{16}$
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5) merna raised $23.25 by selling 35 baked items for the builders club.…
She sold 20 cookies and 15 brownies.
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graph: $y = 4x - 5$ slope = $\frac{4}{1}$ y-intercept = $-5$ graph: $y …
For the multiple choice: Up 4, over 1 For the second line: Slope = $\frac{1}{2}$ Y-intercept = $-3$
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student test darren and his family roll a four-sided die, numbered 1 th…
Part A: $\frac{1}{4}$ or 0.25 Part B: $\frac{4}{20} = \frac{1}{5}$ or 0.20 Part C: The experimental probability from the simulation (0.20) is slightly lower than the theoretical p…
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hassan and jenny are also climbing the stairs in th $x$: number of minu…
Jenny starts at the bottom and climbs up 15 steps per minute.
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x: number of minutes y: number of steps what does the equation $y = 15x…
The equation $y = 15x + 30$ means Hassan starts at the 30th step and climbs up 15 steps every minute. - Correct starting step: 30th step - Steps per minute climbed: 15
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on a field trip, there will be 1 chaperone for every 11 students. a bus…
| Chaperones ($x$) | Students ($y$) | |-------------------|-----------------| | 3 | 57 | | 4 | 56 | | 5 | 55 | | 6 | 54 |
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jovan is considering two job offers. each company pays a fixed monthly …
1. For $2,000 in monthly sales: Company B 2. For $7,000 in monthly sales: Company A
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6.2 unit 7 test lupe and her friends spent $20 on snack mix and water. …
bags of snack mix: 5 bottles of water: 6
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7. maximum points: 4 the table below shows the number of siblings each …
(a) $0.5$ (b) $0.85$ --- ### Question 8
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6.2 unit 7 test semiras puppy weighs 12.4 pounds and is growing at a ra…
$\boldsymbol{\begin{cases} y = 0.8x + 12.4 \\ y = 1.2x + 9.2 \end{cases}}$ (the first option)
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the idea of means that government is created by the people and for the …
popular sovereignty
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○ a 0.41 ○ b 1.34 ● c 0.52 ○ d .3813 question 8 (1 point) the venn diag…
d. P(Soccer and Tennis) = 8/89
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danielle read $\frac{5}{6}$ hour each day for 5 days. select all the ex…
B. $5 \times \frac{5}{6}$ hours D. $\frac{25}{6}$ hours E. $4\frac{1}{6}$ hours
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1. this table shows a linear relationship between the amount of water i…
C. Decreasing at 2 gallons per minute.
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calculate the distance katie rides her bike if she rides $\frac{7}{10}$…
Top box: 3 Bottom box: 6
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11 describing people a height and weight how tall is she? shes ... is h…
1. F 2. F 3. T 4. T 5. F 6. T 7. F 8. F 9. T 10. F --- ### Part 2: Complete the Dialogues
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5 - m3 - tb - lesson 8 remember 4. estimate the quotient. then complete…
Estimation: $608 \div 76 \approx 600 \div 80 = 8$ Vertical division quotient: 8 Check: $608 = 8 \times 76$
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2. a letter is chosen from the word rock and a standard die is rolled. …
a) $\frac{2}{3}$ b) $\frac{1}{4}$ c) $\frac{1}{8}$ d) $\frac{1}{12}$ e) $\frac{7}{8}$
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heights (inches) | frequency of students | relative frequency 59.95-61.…
a) 29% b) 36% c) 77% d) 87 e) Numerical (quantitative)
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read the excerpt from hemingways a farewell to arms. the major asked me…
exhibit grace under pressure.
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read the excerpt from hemingways a farewell to arms. \it could not be w…
helps to maintain the realism of the dialogue.
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using details to support inferences in a literary text - instruction - …
A. Being away for two years
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read the excerpt from hemingways a farewell to arms. \it could not be w…
helps to maintain the realism of the dialogue.
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read the excerpt from hemingways a farewell to arms. the major asked me…
exhibit grace under pressure.
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read the excerpt from hemingways a farewell to arms. we parked the cars…
straightforward and simple, while still relating a lot of information to the reader
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using details to support inferences in a literary text - instruction - …
A. Being away for two years
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in a popular online role playing game, players can create detailed desi…
3%
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2. half of the time alice takes the bicycle to work and the other half …
(i) Bicycle: Mean = $42.8$ minutes, Standard deviation $\approx2.09$ minutes (ii) Train: Mean = $32.8$ minutes, Standard deviation $\approx2.93$ minutes (b) The bicycle gives a mo…
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questions 1-9 of 9 | page 1a fair die is rolled once. what is the proba…
1. d. 1/3 2. d. 0.25 3. 0.55
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question 7 mason read 12 books in 4 months. if he reads at a constant r…
3
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1. multiply and model. rewrite each expression as a number sentence wit…
b. $0.6 \times 0.2 = 0.12$ c. $0.1 \times 1.6 = 0.16$ d. $0.6 \times 1.9 = 1.14$
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waylan created a scatter plot and drew a line of best fit, as shown.wha…
A. $y = \frac{4}{3}x + 5$
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which table shows a proportional relationship between $x$ and $y?$
A. | $x$ | $y$ | |-----|-----| | 10 | 5 | | 12 | 6 | | 14 | 7 | | 16 | 8 |
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select the correct locations on the coordinate plane. henry gathered da…
The correct points to select are: 1. $(9, 7)$ 2. $(6, 5)$ 3. $(8, 9)$ 4. $(5, 7)$ 5. $(7, 4)$
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4. 0.4% $\frac{4}{10}$
$\frac{1}{250}$
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select the correct answer. a soccer club recorded the number of tickets…
A. The situation shows neither correlation nor causation
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sofia measured a line to be 6.7 inches long. if the actual length of th…
4.7%
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$\\frac{810\\%}{100}$
0.081
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which phrase best describes the relationship indicated by the scatter p…
negative correlation
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part 1 of 3 a blogger found that the number of visits to her website in…
$y = 60000(1.056)^{\frac{t}{365}}$ Daily increase rate: ~0.015%
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select the correct answer.tyler gathered data from 12 recent basketball…
only plot B
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write the meaning of the underlined word. it is unwise not to wear a li…
Not showing or having good judgment; foolish or imprudent
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15. only 0.6% of the students at a high school did not attend the first…
As a fraction: $\frac{3}{500}$; As a decimal: $0.006$
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part 2 of 2 in 2012, the population of a small town was 3,200. the popu…
1. B. Multiply the exponent by $\frac{1}{4}$ so that the model compounds quarterly. 2. 0.98%
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resent the situation and then solve. be sure to define your in katys ga…
14 months
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graph 1 hand soap sales bread loaf sales graph 2 miles per gallon car p…
- Graph 1 ↔ Neither correlation nor causation - Graph 2 ↔ Correlation without causation - Graph 3 ↔ Correlation with causation
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part 1 of 2 in 2012, the population of a small town was 3,280. the popu…
C. Multiply the exponent by $\frac{1}{4}$ so that the model compounds quarterly.
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select the correct answer. lionel created a scatter plot and drew a lin…
$y = -2x + 16$
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13. the area of the simpsons new house is 150% of the area of their old…
As a fraction: $\frac{3}{2}$ (or $\frac{150}{100}$ before simplification) As a decimal: $1.5$
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convert. 64 cups = $\boldsymbol{square}$ quarts submit
16
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18. about 0.45% of the students in hannahs school have a landline phone…
As a decimal: $0.0045$ As a fraction: $\frac{9}{2000}$
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blank 1: 7/12 question 6 (1 point) a bag contains 30 tiles numbered 1-3…
$\frac{7}{435}$
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adjectives 2f an adjective is a word used to modify a noun or a pronoun…
- Underline **biggest**, draw an arrow to *fish* - Underline **fiercest**, draw an arrow to *fish*
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during the summer, rafaels toy shop collects data that implies a relati…
0.925
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directions: write the ratio in simplest form. 1. 28 elementary schools …
1. $\frac{7}{4}$ 2. $\frac{5}{6}$ 3. $\frac{3}{11}$ 4. $\frac{36}{29}$
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part 4 of 5 the number of teams y remaining in a single elimination tou…
a. Exponential decay b. A. The initial number of teams in the tournament c. 50% d. Domain: $0 \leq x \leq 7$; Range: $1 \leq y \leq 128$
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nan has 88 flowers to place on 14 tables. she wants to put the same num…
5. 6 flowers 6. Yes, 4 flowers. When 88 is divided by 14, the largest whole number of flowers per table is 6, and $88 - (14 \times 6) = 4$ flowers left over. 7. $510$ $\text{cm}^3$
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name lesson quiz 3-4 name 5. the table shows the participation in a sch…
D. The greatest growth was between years 1 and 2. The growth between those years was about 36%.
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during the summer, rafaels toy shop collects data that implies a relati…
0.925
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write the meaning of the underlined word. it is unwise not to wear a li…
Not showing or having good judgment; foolish or imprudent
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which table represents a linear function? w. |$x$|$y$| |-|-| |-2|3| |-1…
B. X
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ordering rational numbers - clue 3 discover another clue by arranging t…
First row (3 boxes): T, H, E Second row (6 boxes): H, I, T, M, A, N Third row left (3 boxes): H, A, S Third row right (5 boxes): B, R, O, W, N Fourth row (4 boxes): E, E, Y, S The…
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find the residuals for the second model, $y=2x-4$. year 2010 2011 2012 …
The model $\boldsymbol{y=1.18x+2.23}$ is the better fit because the equation of the line that has the **smallest sum of squared residuals** is the better fit.
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date: blems t operation you need to use, answers. it takes josh $\frac{…
$\frac{3}{2}$ hours (or 1.5 hours)
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the beginning of the school year can be an exciting time. it can also b…
B. "The new school year is a chance to start over with a clean slate."
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3 sarah has $22 for lunch. this is $5 more than mark spent (x). how muc…
$\$17$
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the following table shows a certain countrys petrochemical exports to a…
21.76
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1 a total of 250 students are going on a field trip. 10 students rode i…
40
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1. the spinner shown is spun once. what is the sample space? (example 1…
1. $\{2, 3, 4, 5\}$ 2. $\{\text{M}, \text{I}, \text{S}, \text{P}\}$ 3. $\frac{1}{2}$ 4. $\frac{1}{3}$ 5. $\frac{3}{8}$; The complement is choosing a ride that lasts 200 seconds or…
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$39 to $65. 2. the value of an autographed what is the percent increase…
Problem 3: 25% Problem 4: 18%
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name lesson quiz 3-4 1. a towns population of children increased from 3…
1. A. $p = \frac{421-376}{376}$ 2. Approximately 66.7% (or $\frac{2}{3} \times 100 \approx 66.7\%$)
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9 when mitchell says the car is \the apple of my eye,\ he means that a.…
B. he likes the car a lot.
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to start. how many ounces of juice does each person get?$\frac{5}{6} di…
Each student used $\frac{1}{5}$ of a box of kleenex.
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lesson 10: estimating proportions from samples• lets estimate populatio…
### 10.1 Math Talk Proportions: 1. 0.34 2. 0.56 3. 0.85 4. 0.35 ### 10.2 Pass or Fail: 1. (This is a hands-on step; record the number of Pass slips drawn in trial 1, e.g., if 6 Pa…
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6. tabitha wanted to see if there was a correlation between the number …
a. Scatter plot with points: (4,25), (8,24), (12,18), (3,29), (7,21), (10,17), (11,22), (1,30), (4,19), (14,11) plotted on the provided axes. b. There is a strong, negative linear…
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find out their favorite movie series, and recorded the results in a tab…
6a) $\frac{2}{21}$ or approximately 0.095 6b) $0$ 7) $0.08$ 8) $18$ days