統計と確率
データ分析、確率分布、仮説検定、統計手法。
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a group of 7 students was asked, \how many hours did you watch televisi…
(a) Mean: \(12.4\) hours (b) Median: \(11\) hours
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example 3 write and evaluate expressions malik and two friends earn ( m…
The expression is \( \boldsymbol{\frac{1}{3}m - 32.5} \), and evaluating for \( m = 963 \) gives \( \boldsymbol{288.5} \) dollars left.
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(in liters) in the aquarium versus time (in minutes). (a) at what time …
(a) 3 minutes (b) Statement: "As time increases, the amount of water in the aquarium decreases."; Rate: 60 liters per minute
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popcorn a movie theater sells popcorn in a reusable bucket for $3.50. t…
The cost function is $y = 2.5x + 3.5$. To plot the line, use points like $(0, 3.5)$ and $(2, 8.5)$ (or other points from the function) and draw a straight line through them.
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each of 5 students reported the number of movies they saw in the past y…
(a) Mean: \(11.8\) movies (b) Median: \(13\) movies
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songhai was best known for a thriving trade of imported goods. a divers…
The option with "a diverse selection of exported products" (the middle - top option among the four boxes).
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austin is filling a tank. the graph shows the amount of water (in liter…
(a) 200 liters (b) As time increases, the amount of water in the tank increases. Rate of increase: 50 liters per minute
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this question has two parts. first, answer part a. then, answer part b.…
\( 300 \leq 5x \leq 350 \) ### Part B
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a machine at a bakery is pouring out flour. the graph shows the amount …
s: (a) Statement: As time increases, the amount of flour in the machine decreases. Rate of decrease: \(90\) grams per minute. (b) Amount at 0 minutes: \(630\) grams. (For part (a)…
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part b) answer true or false to the following questions. can she bring …
Assuming the maximum number of books she can carry is 4 (a common constraint if not given), the inequality is \( x \leq 4 \), where \( x \) is the number of books. - 3 books: True…
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b. choose the correct answer below. a. 3 → 39 6 → 78 9 → 117 15 → b. 3 …
A. (Top: 3, 6, 9, 15; Bottom: 39, 78, 117 with arrows 3→39, 6→78, 9→117)
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each day, charmaine earns a fixed wage plus extra money for every hour …
(a) Charmaine's total pay with 0 hours of overtime is 80 dollars. (b) The statement is: "As the amount of overtime increases, the total pay increases." The rate is 10 dollars per …
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malik and two friends earn m dollars in one week doing odd jobs. they s…
\(\$288.50\)
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as their lights flash and propellers whirl, drones are busy. they do al…
The option "Drones are most often used for photography." (the first option among the four, with the text "Drones are most often used for photography.")
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each day, charistine earns a fixed wage plus extra money for every hour…
Assuming the graph's y - intercept (when overtime = 0) is the fixed pay, the total pay with 0 hours of overtime is the fixed wage (e.g., if the graph shows \( y = 80 \) when \( x …
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question 7 of 7 lavonne purchased some tickets and snack vouchers for a…
15 (the option with "15" as the number of members)
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question 3 of 7 marco designs a spinner wheel that has exactly 4 red, b…
He should increase the area of the red section by decreasing the area of any of the other three sections.
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tommy went to the store to buy paint for his room. he was expecting to …
25%
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write the ratio as a fraction in lowest terms. 7 days to 19 days
$\frac{7}{19}$
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britney weighed 12 plain bagels from each of two bagel shops. the mean …
The average weight of a plain bagel from Bayou Bagels was less than the average weight of a plain bagel from Park City Bagels. Also, the bagels from Bayou Bagels had less variabil…
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juan is draining an aquarium. the graph shows the amount of water (in l…
(a) 300 liters (b) Statement: As time increases, the amount of water in the aquarium decreases; Rate of decrease: 60 liters per minute
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question 2 of 7 in the venn diagram, circles s, c, and p represent farm…
19
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write the ratio as a fraction in lowest terms. 7 days to 19 days
\(\frac{7}{18}\)
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a fair charges an admission fee of 5 dollars for each person. let c be …
\( C = 5P \)
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question 1 of 7 cameron took 4 tests, and his scores were as follows: 1…
90
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martha needs 28 strawberries for every 4 smoothies she makes. complete …
For 3 smoothies, strawberries are 21; for 70 strawberries, smoothies are 10. So the completed table has 21 (strawberries for 3 smoothies) and 10 (smoothies for 70 strawberries).
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choose the correct answer. a jogger runs 12 miles in 2 hours. \\(\\frac…
The Middle Graph
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round the number to the place indicated. 72.8374 to the nearest tenth
\(72.8\)
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choose the correct answer. a cyclist rides 5 miles in 20 minutes. \\(\\…
The Middle Graph
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gary needs 24 screws for every 2 chairs he builds. complete the table u…
For 6 chairs: 72; For 9 chairs: 108
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choose the correct answer. a faucet fills a 9 gallon tank in 3 minutes.…
The Middle Graph
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(c): your answer is incorrect. owners of a recreation area are adding w…
200 ### Part (b)
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connor edits 34 pages in 8 hours. complete the table using equivalent r…
For 1 hour: \(\frac{17}{4}\) (or 4.25), for 12 hours: 51. So the table values are 4.25 (or \(\frac{17}{4}\)) and 51.
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jill can make 50 flash cards every 20 minutes. complete the table using…
For 30 cards, the number of minutes is 12. For 36 minutes, the number of cards is 90. So the completed table has 12 in the minutes column for 30 cards and 90 in the number of card…
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complete the equation for this model. (number line from -30 to -10 with…
\(-10 + (-16) = -26\) (So the first box is \(-10\), the second box is \(-16\), the third box is \(-26\))
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compare the set of numbers to make the statement true $\frac{3}{4}$ ---…
\(>\)
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complete the equation for this model. number line from -10 to 0, with a…
-4 + (-4) = -8 (So the first blank is -4, second is -4, third is -8)
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what is 37% as a decimal? 37 3.7 .37 .037
.37
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milan needs to read 3 novels each month. let n be the number of novels …
Equation: \( N = 3M \) Number of novels in 13 months: 39 novels
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why was the russian army near collapse by 1916? the army wanted russia …
The army was low on food, supplies, and ammunition.
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6. which of the following are examples of fairness in data analysis? se…
- Factoring in social contexts that could create bias in conclusions - Making sure a sample population represents all groups - Considering systematic factors that may influence da…
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this question has two parts. first, answer part a. then, answer part b.…
\( a = 20 \), \( b = 7 \), \( c = 36 \)
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7. temperature of specimen
The slope of the line (rate of temperature change) is \( 1 \) \( ^\circ\text{F per hour} \).
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which of the following shows the graph of the inequality ( i > -\frac{3…
C) (the option with open circle at \( -\frac{3}{4} \) (or the position between -1 and 0) and arrow pointing to the right)
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6. water in tank
The slope (rate of water decrease) is \(-12\) ft/s, and the equation of the line is \(y = - 12x+100\) (where \(y\) is water in ft and \(x\) is time in s). If finding when empty, \…
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this question has two parts. first, answer part a. then, answer part b.…
For Vanilla = 9, Strawberry = 6; for Vanilla = 21, Strawberry = 14; for Vanilla = 33, Strawberry = 22; for Vanilla = 45, Strawberry = 30.
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5. ticket costs cost ($) tickets (3, 25.5) (8, 68)
The slope (cost per ticket) is \( 8.5 \) dollars per ticket.
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incorrect 2 tries left. please try again. which of the following shows …
D. The graph with open circle at 1.6 and arrow pointing right (Option D)
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the brown family has many pairs of athletic shoes. they counted p pairs…
The equation is \( p - 6 = 11 \), and the Brown family started with 17 pairs of shoes.
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6. a data analyst has to demonstrate how the population in charlotte ha…
Line chart
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5. a data analyst has to create a visualization that makes it easy to s…
Bar chart (the option labeled "Bar chart")
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this question has two parts. first, answer part a. then, answer part b.…
Snacks and More: $\$5.75$ per pound Healthy Snacking: $\$5.5$ per pound
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4. the function =average(c2:c11) can be used to do what for the followi…
Find the average population of the cities
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to ride a roller coaster, the rider must be at least 48 inches tall. wh…
D. \( i \geq 48 \)
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eloise scored a total of 268 points during the basketball season. of he…
The equation is \( l + 225=268 \), and Eloise scored 43 points with left - handed shots.
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write each decimal as a fraction or mixed number in simplest form. 13. …
13. $\frac{13}{50}$ 14. $\frac{3}{4}$ 15. $\frac{2}{5}$ 16. $\frac{1}{10}$ 17. $4\frac{12}{25}$ (or $\frac{112}{25}$) 18. $9\frac{4}{5}$ (or $\frac{49}{5}$) 19. $\frac{91}{100}$ 2…
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3. fill in the blank: in the following spreadsheet, the feature sort ra…
alphabetize
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martin is laying out tiles to make a design. he will use 1 black tile f…
white tiles: 16 black tiles: 4
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a customer gets free shipping when the cost of a purchase at an online …
B) \( d > 35 \)
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close read: analyze the text identify the choice that best answers the …
B. She thinks that he was a mean and terrible person.
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martin is laying out tiles to make a design. he will use 1 black tile f…
white tiles: \(16\) black tiles: \(4\)
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close read: analyze the text identify the choice that best answers the …
C. Present. If these shadows remain unaltered by the future, the child will die.
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all students in ridgewood junior high school either get their lunch in …
The total number of students in Ridgewood Junior High School is 800.
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close read: analyze the text identify the choice that best answers the …
D. Scrooge has never visited the Cratchits’ home.
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terminating and repeating decimals write each fraction or mixed number …
s (for each problem): 1. $0.8$ 2. $0.25$ 3. $1.875$ 4. $0.1\overline{6}$ 5. $5.275$ 6. $5.26$ 7. $0.18\overline{3}$ 8. $1.5$ 9. $0.\overline{5}$ 10. $2.75$ 11. $0.\overline{81}$ 1…
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math - 8th grade 34 a teacher buys adult and child tickets for a class …
### Question 34 # Explanation: ## Step1: Define variables Let \( x \) be the number of adult tickets and \( y \) be the number of child tickets. We know two equations: 1. \( x + y…
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write each decimal as a fraction or mixed number in simplest form. 0.92…
- 0.92 as fraction: \(\frac{23}{25}\) - 8.86 as mixed number: \(8\frac{43}{50}\) - 2.52 as mixed number: \(2\frac{13}{25}\) - 4.62962963 (repeating 629) as \(4.\overline{629}\) - …
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use the information given to answer the question. a highway director ca…
D. The online retailer charges 1.5 times as many dollars as the local farmer for every pound of sunflower seeds.
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use the information given to answer the question. a highway director ca…
B. The garden center charges $0.70 more per pound of sunflower seeds than the online retailer.
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find the equation for the least squares regression line of the data des…
\(y = 0.294x-10.262\)
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math - 8th grade 31. the table shows the amount of money a student has …
C. The cost of each book is $14.95 because the remaining amount of money decreases by $14.95 for each additional book purchased.
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a survey stopped men and women at random to ask them where they purchas…
Filled table: | | Store | Online | Total | |----------|-------|--------|-------| | Women | 34 | 6 | 40 | | Men | 33 | 19 | 52 | | Total | 67 | 25 | 92 | (If the question was to fi…
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math - 8th grade 30 use the information given to answer the question. a…
A. \$25
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10 (and a graph with x-axis labeled hours (0 to 3.5), y-axis labeled mi…
The relationship is linear with a rate of 60 miles per hour, equation $y = 60x$. (If the question was about speed, the speed is 60 mph.)
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a survey asked a group of adults and youths if they prefer reading book…
- Youths' Total: \( \boldsymbol{55} \) - Adults' Print: \( \boldsymbol{37} \) - Adults' Total: \( \boldsymbol{66} \) - Total Electronic: \( \boldsymbol{55} \) - Overall Total: \( …
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a random sample of students were surveyed as to how much non - school s…
\(41.2\%\)
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9 kilograms boards
The relationship is linear with a slope of 7, meaning the weight (in kilograms) is 7 times the number of boards. The equation is \(y = 7x\) where \(x\) is the number of boards and…
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faith recorded the grade level and instrument of everyone in the middle…
32%
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a survey asked a group of adults and youths if they prefer reading book…
\( 56.3\% \)
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a random sample of students was surveyed and asked to list their grade …
\(55.9\%\)
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question a random sample of students was surveyed and asked to list the…
57%
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e continued 8 (chart: x-axis labeled seasons from 0 to 6, y-axis labele…
The slope (rate of games per season) is 15 (assuming the task was to find the rate; adjust based on actual question, but with the graph, this is a typical math problem in Algebra/…
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a survey asked a random sample students if they estimated they spent mo…
43%
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a chicken farmer sells eggs in three categories: medium (49–55 grams), …
First blank: the number of eggs in each category Second blank: the median weight (or mean weight, depending on interpretation, but likely "the median weight" or "the mean weight" …
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a random sample of people were surveyed on their favorite sport, as sho…
19.4
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a random sample of students was surveyed and asked to list their grade …
42%
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a random sample of students were surveyed as to how much non - school s…
50.0%
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9. a magazine reported that 30% of car drivers use a cell phone while d…
The probability is approximately 0.022 (using normal approximation) or approximately 0.021 (using direct binomial calculation).
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new jersey v. tlo new jersey v. tlo (1985) is a court case involving a …
If a school has a reasonable suspicion of rule - breaking, they do not need a warrant to search.
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due to rising sea levels, many historic sites in the united states are …
- Problem: Jamestown artifacts are at risk; Solution: Experts are devising ways to remove them. - Problem: Historic buildings in Annapolis are at risk; Solution: Experts are makin…
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5 ounces pieces 2 miles per hour 6 dollars tickets grade 8 • lesson 8 p…
For Graph 5: \(0.25\) ounces per piece; For Graph 6: \(20\) dollars per ticket. (Note: Since the original problem's exact question is not clear from the image, this is a best - ef…
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○ c. there is no correlation. do you think that change in the first qua…
B. While change in the second quantity might affect change in the first quantity, it is unlikely that this is true in the reverse. Therefore, change in the first quantity does not…
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for a strong correlation, people often assume that change in one quanti…
B. There is a positive correlation.
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choose the correct residual plot below. a. y 3 2 1 0 -1 -2 -3 x 10 20 3…
B. The graph for option B
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6. the letters of the word house are to be rearranged. (6a) how many di…
\( \frac{1}{120} \)
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6. the letters of the word house are to be rearranged. 6a how many diff…
$\frac{1}{5}$ (or 0.2)
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6. the letters of the word house are to be rearranged. 6a how many diff…
120
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5. if there are 4 swimmers in a race, in how many different orders can …
\( 24 \)
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4. find the value of ( ^{11}p_1 ). ( ^{11}p_1 = ) enter your next step …
\( 11 \)
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use technology to perform a linear regression to determine the equation…
The equation of the line of best fit is \( y = 1.55x+16.60 \), and when \( x = 19 \), \( y\approx46.05 \)