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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write 4.75% as a fraction in simplest form.
$\frac{19}{400}$
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write 42% as a fraction in simplest form.
$\frac{21}{50}$
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kayli and clinton each made a batch of purple paint. - kayli mixed 5 cu…
The two batches are the different. I decided this by calculating the ratio of red paint to blue paint for each mixture. Kayli's ratio of red to blue paint is \( \frac{5}{3} \) (or…
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follow the instructions below. (a) rewrite the percentage in the senten…
(a) 0.05 (b) 63.3
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remember for problems 28–30, multiply. 28. ( 47.25 \times 0.6 ) 29. ( 1…
\( 28.35 \) ### Problem 29: \( 125.1 \times 1.4 \)
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a certain parking lot has only green cars and black cars. - there are 5…
20
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16. from 259 hours to 274 hours %
Approximately \( 5.79\% \) (or more precisely, \( \frac{1500}{259}\% \approx 5.79\% \))
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jayla is the manager of super sandwiches. she recorded the number of so…
The first box - plot (the one with left whisker starting at 50, right whisker at 150, box with median at 100, Q1 around 70 and Q3 around 120)
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(a) write 6 as a percentage. (b) write 0.92% as a decimal. (a) 6 = □% (…
(a) $6 = 600\%$ (b) $0.92\% = 0.0092$
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amusement park ticket cost number of adults | 1 | 2 | 5 | 8 | 10 | 100 …
75
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which box plot represents the data? laps walked box plot 1 with number …
The upper box - plot (the first one shown) represents the data (assuming the data's five - number summary matches its quartile and median positions).
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• finally, cancel units. since dollars are divided by dollars, and cent…
2
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a craft vendor must sell at least $300 worth of merchandise to make a p…
1
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5. charlie, dan, and ellie each made a paper chain. charlie’s was 9 ½ f…
1. The total length of the three chains is $24\frac{1}{6}$ feet. 2. They missed hiking $5\frac{1}{10}$ miles of the trail. 3. A total of $17\frac{1}{3}$ yards of yarn were used. 4…
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for another picnic, you want to make hamburgers with pickles, again wit…
39, 26, 52
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for this picnic, you need to feed at least 700 people. if you want to f…
First picnic (buns, hot dogs): 90, 72 Second picnic (buns, patties, pickles): 3, 2, 4
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consider a picnic. if you want to buy enough hot dogs and buns without …
Part A: 5, 4 Part C: 3, 2, 4
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7-25. alan is making a bouquet to take home to his grandmother. he need…
a. Tree diagram: First level: 2 branches (Ferns, Leaves) Each greenery branch splits into 3 branches (Daisies, Carnations, Sunflowers). Total 6 unique bouquets. b. $\frac{1}{2}$ o…
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part d if \\(\\log(x) = -0.123\\), what does \\(x\\) equal? express you…
0.753
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now, multiply. \\(\\dfrac{\\dfrac{2}{3}}{16} = \\dfrac{2}{3} \\div 16\\…
$\frac{1}{24}$
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calculate log(42) express your answer numerically to the hundredths pla…
$\log(42) = 1.62$ $\ln(42) = 3.74$
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which fraction represents paiges speed in miles per minute?\\(\frac{\fr…
\( \frac{\frac{2}{3}}{16} \) (or \( \frac{2}{3\times16}=\frac{1}{24} \)) ### Second Sub - Question (Division expression for \( \frac{\frac{2}{3}}{16} \))
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paige walks to the park $\frac{2}{3}$ mile away. it takes her 16 minute…
The fraction representing Paige's speed in miles per minute is \( \boldsymbol{\frac{\frac{2}{3}}{16}} \) (the first option among the given options: \( \frac{\frac{2}{3}}{16} \)). …
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rodrigo had 7/10 of a pound of blueberries. rodrigo let his friend cand…
$\frac{77}{150}$
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select the correct answer. read the excerpt from hoovers speech again. …
by returning our people to their normal jobs
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at the hamilton zoo, 7/10 of the animals are primates. of the primates,…
$\frac{7}{40}$
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in a small town named rivertown, the local meteorological department co…
Valid ### For "At least 6 of the 12 months had 40 mm or less of precipitation"
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do you understand? 1. in the example above, how is the denominator illu…
$\frac{1}{5}+\frac{2}{5}=\frac{3}{5}$ ### Question 4
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edgar bought 8 yards of fabric. he used $1\\frac{5}{12}$ yards of the f…
\(\frac{1}{12}\)
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homework practice graph proportional relationships for exercises 1 and …
s: 1. The relationship between Celsius and Fahrenheit is **not proportional** (does not pass through origin, ratio not constant). 2. The relationship between bags of popcorn and c…
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a 10-mile race. her finish time was 2 hours. mary can bike the same to …
\(\boldsymbol{\frac{10}{\frac{1}{2}}}\) (the fourth option among the given options)
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mary ran at a steady speed in a 10-mile race. her finish time was 2 hou…
For the fraction representing running speed: \( \frac{10}{2} \) For the value of \( \frac{10}{2} \): 5
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15. from $328 to $333
The change is an increase of approximately \( 1.52\% \) (if calculating percentage increase; if just the difference, it's $5$). If percentage increase is required, the answer is a…
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mary ran at a steady speed in a 10-mile race. her finish time was 2 hou…
\(\frac{10}{2}\) (corresponding to the third option among the given choices)
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devons little brother made a tower out of red, orange, yellow, and gree…
$\frac{1}{8}$
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at the beginning of practice today, bryces soccer team spent $\frac{1}{…
\(\frac{3}{1}\) hours (or 3 hours, but in fraction form \(\frac{3}{1}\))
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a small plane’s maximum takeoff weight is 1800 pounds or less. six pass…
\(\{x\mid x \leq 900\}\) ### Part b
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4) what is the rate in cups of lime juice per cup of greek yogurt? 4) ?…
$\frac{2}{5}$
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tara grows several types of flowers, but tulips are her favorite. in he…
$\frac{3}{10}$
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x | y 0 | 3 2 | 11 4 | 19 6 | 27 8 | 35 what is the slope for this tabl…
4
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estimate the difference. round each number to the nearest whole number,…
\(4\)
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estimate the sum. round each number to the nearest whole number, then a…
\(8\)
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a bag of dog food has claimed their packaging now holds 35% more dog fo…
17.01 lbs
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14. from 139 miles to 385 miles ______ % ☐ increase ☐ decrease
The percentage increase is approximately $\boldsymbol{177\%}$ (or more precisely approximately $\boldsymbol{176.98\%}$) and it is an Increase.
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a mirror view ______ any natural number and \0\ ______ natural numbers,…
\(\frac{1}{3}=0.\overline{3}\approx33.33\%\); \(\frac{2}{3}=0.\overline{6}\approx66.67\%\); \(\frac{2}{4}=0.5 = 50\%\); \(\frac{3}{4}=0.75 = 75\%\)
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d $p(x) = 6.39x - 7570$ because the number of hot dogs sold changes key…
A. \(f(x)=\frac{18}{5}x + 41\) D. \(f(n)=f(n - 1)+\frac{18}{5};f(0)=41\)
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estimate the sum. round each number to the nearest whole number, then a…
\(8\)
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lisa cut 4/10m of ribbon to wrap a birthday present. she cut another 53…
$\frac{93}{100}$ meters
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match each correlation coefficient to the appropriate scatter plot. r =…
- Left scatter plot: $r = -0.5$ - Right scatter plot: $r = 0.5$
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estimate the sum. round each number to the nearest whole number, then a…
10
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brenna took a total of 18 quizzes over the course of 3 weeks. after att…
72
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match each correlation coefficient to the appropriate scatter plot. the…
Left scatter plot: $r=0.8$ Right scatter plot: $r=0$
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13. from 362 m to 156 m ______ % increase decrease
Decrease, approximately \(56.9\%\)
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the montgomery bus boycott proved that ○ change could be achieved throu…
A. change could be achieved through peaceful means.
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owners of a recreation area are adding water to a pond. the graph below…
s: (a) 100 (b) 100
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the montgomery bus boycott was based on the principle of ○ economic ind…
C. nonviolent resistance.
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a) one way to find an equivalent ratio is to divide both numbers in a r…
\(\frac{1}{4}\)
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on saturday mrs. smith used 30/100kg of sugar baking apple pies and 4/1…
$\frac{7}{10}$ kg (or 0.7 kg)
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result 1 frequency 10 answer each qu and experim 1. what is the probabi…
To solve these probability questions, we assume we are dealing with a standard six - sided die (since the context of rolling a die is common for such probability problems). A stan…
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which of the following functions describes her ideal growth, in inches …
A. \( f(x)=\frac{18}{5}x + 41 \)
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in a team event marcus rode his bicycle 45/100km and leslie rode her bi…
$\frac{75}{100}$ km or $\frac{3}{4}$ km (0.75 km)
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a venue for a dance recital can be rented for $275 per hour. the venue …
B. Domain: {1, 2, 3} Range: {275, 550, 825}
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a mini - golf course is determining the par score for each of its holes…
A. The mean is the best choice because the data is nearly symmetrical.
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analyze the narrative technique of time progression in the story. explo…
To analyze Bradbury's narrative technique of time progression: 1. **Time as a Tension - Builder**: Bradbury may use non - linear time (e.g., flashbacks, foreshadowing) or a sense …
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use the following census data from the cities of washington and frankli…
## Part a: - Washington regression line: $Y = 1.3950x - 2730.8600$ - Washington correlation coefficient: $0.9888$ - Franklin regression line: $Y = 1.534x - 2983.100$ - Franklin co…
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anand keeps track of the number of people inside a music hall to attend…
1.25 hours (or 1 hour 15 minutes) after 6 p.m. (at 7:15 p.m.), the line of best fit predicts about 120.3 people are inside the music hall.
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the graph shows the number of minutes, to the nearest five minutes, tha…
The mean will decrease, and the median will stay the same.
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the table shows the heights, in inches, of players on a girls basketbal…
69
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annette is surveying people in the city about their interest in a new s…
480
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tristan records the number of customers who visit the store each hour o…
20 (corresponding to the option "20")
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16. convert \\(\\frac{1}{8}\\) to a decimal and a percent.
Decimal: $0.125$, Percent: $12.5\%$
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solve. $30,000 \\div (1.2 \\times 10^7) = \\square$ $2.5 \\times 10^{-5…
$2.5\times10^{-3}$ (corresponding to the option "2.5 × 10⁻³")
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when you find 420% of 85, what are you looking for?
We are looking for the value that is 420% of 85, which is calculated as \( 4.2\times85 = 357 \), so the answer is 357 (the value representing 420% of 85).
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12. homer won 3 of the first 5 horseshoe games he played. at that rate,…
The number of games (or the "time" in terms of number of games) it will take him to win 10 games is \( \frac{50}{3}\) (or approximately 16.67) games. If we consider whole games, i…
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5. b) given the following data, create a box plot. show all calculation…
Box plot key values: - Minimum: $20$ - First Quartile (Q1): $40$ - Median (Q2): $60$ - Third Quartile (Q3): $88$ - Maximum: $100$ - Interquartile Range (IQR): $48$ The box plot ha…
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2. the store decreased the price of the item from $150 to $120. find th…
The percent decrease is \( 20\% \)
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4. thirty percent of 140 is what number?
42
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9\\frac{30}{100} + 8\\frac{66}{100} =
$17.96$ (or $17\frac{24}{25}$)
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1. the number of students attending the club went from 20 to 26. find t…
The percent increase in attendance is $30\%$.
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umami is a japanese loanword meaning? pleasant savory taste. pleasant s…
A. Pleasant savory taste.
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5. find the unit rate from this graph. miles 56 42 28 14 2 4 6 8 hours
7 miles per hour
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what proportion can be used to find 65% of 90? a. $\frac{65}{90}=\frac{…
C. \(\frac{65}{100}=\frac{x}{90}\)
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18. the entry fee to the fair is $4.00. each ride requires a ticket tha…
D. 16
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six graphs are shown below. click on the tabs to see them. graph 1 grap…
Graph 2 should also be checked (the box next to Graph 2 should be selected) because it passes the vertical line test, meaning it represents a function.
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estimate, and then find the quotient. use your estimate to check for re…
Best estimate: 420, Estimated quotient: 140, Actual quotient: $141\frac{1}{3}$
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the suffix -y means \like\ or \characterized by.\ list 3 words that end…
1. Happy - characterized by happiness (or like having happiness) 2. Sunny - like the sun (or characterized by sunshine) 3. Cloudy - like a cloud (or characterized by clouds)
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owners of a recreation area are adding water to a pond. the graph below…
100 ### Part (b)
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describe the association in the scatter plot below. the scatter plot sh…
The scatter plot shows a negative association because as the plotted values of \(x\) increase, the values of \(y\) generally decrease. The association can also be described as lin…
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multiple-choice question remorse means deep regret. because of this, he…
C. Convert to Buddhism
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1 the score for a video game is calculated using f(x) = 4.5x² + 7x + 2,…
D. 11,602
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question henry is buying bagels for a family gathering. each bagel cost…
- The independent variable \( x \) represents the number of bagels, and the dependent variable is the total cost, because the total cost depends on the number of bagels. - A funct…
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the dot - plot shows the number of text messages mr. garcia sent each d…
The graph is nearly symmetrical.
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there are 8 sophomores on the academic team. at the last competition, t…
79%
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the graph shows the number of pages in each chapter of a book that josh…
The outlier of 2 decreases the mean page count.
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journal explain how to compare proportional relationships represented i…
Fluffy Stuffy Stuffed Animals should sell their products at The Toy Box. This is because the constant of proportionality (ratio of stuffed animals sold to total toys sold) for The…
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4. a flock of birds flies 200 miles south for the winter. in the spring…
400 miles
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5. higher order thinking serena has a toy train that is 32 inches long.…
2
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each graph below shows a relationship between x and y. for each graph, …
Proportional, \( y \) is \( 1 \) times \( x \) ### Graph 2
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crinoline was a popular linen material woven with horsehair. it was fir…
B. The author shows the sequence in the development of crinoline.
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deshaun buys cheese from the local farmers market. the graph below show…
35 ### Part (b)