Data Collection & Representation

Problem 1

Calculate the total fuel cost from the transaction: 35.270 L at \$1.619/L, with HST included of \$6.57. Total: \$57.10.

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Problem 2

Draw a Venn diagram for 400 Grade 7 students: 200 play ML only, 85 play COD only, and 50 play neither.

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Problem 3

Represent the swim meet results of Danny, John, Kenny, and Sean in a matrix format based on their placements.

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Problem 4

In a survey of 400 Grade 7 students, find how many play both ML \mathrm{ML} and COD \mathrm{COD} using a Venn diagram.

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Problem 5

Draw a Venn diagram for 400 Grade 7 students: 200 play ML only, 85 play COD only, and 50 play neither.

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Problem 6

Prepare Receipts and Payments Account and Income and Expenditure Account for Readers Club, Ranchi for year ending 31st March 2021.

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Problem 7

Mr. Heng started a bike business with \$10,000. He bought 20 bikes at \$400 each, sold 12 at \$500 each, and had \$200 in expenses.
a) Create a profit or loss statement. b) Create a financial position statement.

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Problem 8

Find the conversion factor from Wiffles to Inches using the table and fill in the missing values.

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Problem 9

Which food (P, Q, R, or S) has the lowest glycaemic index based on amylose and amylopectin percentages: P(30%,70%)P(30\%,70\%), Q(24%,76%)Q(24\%,76\%), R(14%,86%)R(14\%,86\%), S(20%,80%)S(20\%,80\%)?

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Problem 10

Determine the Moon phase symbol for March 28 from the given options: a. First Quarter, b. Full, c. Last Quarter, d. New, e. None.

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Problem 11

Find the missing values A,B,CA, B, C, and DD using the formula: total cost =2×=2 \times number of copies. Also, explain the proportional relationship.

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Problem 12

What is the value of mm, the number of training examples, given the data on first and second year "A" grades?

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Problem 13

Compare Company X and Company Y using provided ratios to assess risk, return, and identify the growth-oriented firm.

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Problem 14

Calcula el IMC para 3 personas con pesos y alturas dados. Clasifica según las categorías: Infrapeso, Normal, Sobrepeso, Obesidad.

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Problem 15

A biker rides distances: 12, 24, 36, 48 miles in 1, 2, 3, 4 hours. Model with f(x)=12xf(x)=12x. What transformation if teammate leaves 1 hour later?

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Problem 16

Given the home prices in thousands of dollars and their availability, explain n(0)=0n(0)=0, find n(320)n(320), and interpret it.

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Problem 17

Create a survey question to gather categorical data.

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Problem 18

Grade 12 Math: Analyze the 2023 North West budget table. Answer questions on budget meaning, highest allocation, and find XX, YY, ZZ.

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Problem 19

Sort the following topics into categorical or numerical data: money earned, arm span, birthdate, exercise time, reaction time, sport, height, sleep hours, language, foot length, opinions, postcode, state, travel method, travel time, year level.

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Problem 20

1. Analyze the budget table and answer: 1.1.1 Define "budget." 1.1.2 Which department got the highest 2023/24 allocation? 1.1.3 Which department(s) have lower 2024/25 allocations? 1.1.4 Find the minimum value XX if the range for 2023/24 is R20,093,300. 1.1.5 Calculate total allocation YY for 2023/24. 1.1.6 If the mean for 2024/25 is R3,994,769, find ZZ for Social Development.

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Problem 21

Given the command `ps -ef | grep user1`, which statements are TRUE about the processes listed?
1. PID =1=1 and =1909=1909 are terminated.
2. PID =1909=1909 has two children.
3. PIDs =1909=1909 and =1910=1910 are terminated.
4. PID =1=1 was started by user1.
5. None of the above.
6. PID =1909=1909 has two parents.

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Problem 22

Given the command output for `ps -ef | grep user1`, which statements are TRUE?
1. Processes with pid=1 and pid=1909 have been terminated.
2. Process with pid=1909 has two children processes belonging to user1.
3. Processes with pid=1909 and pid=1910 have been previously terminated.
4. Process with pid =1=1 was initiated by user1.
5. None of the mentioned.
6. Process with pid=1909 has two parent processes.

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Problem 23

How much energy (in million barrels) came from sources other than gasoline last year? Options: 65, 74, 87.5, 126, 162.5.

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Problem 24

1. Prognose der SMS-Zahlen für 2013 basierend auf den Jahren 1999-2011.
2. Erklären Sie die Abweichung von 37,9 Mrd. SMS.
3. Warum ist die mathematische Beschreibung schwierig?

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Problem 25

Berechne die fehlenden Preise in den proportionalen Zuordnungen: a) 2 für 3,50€, 6 für ?; b) 5 für 4,50€, 25 für ?; c) 7 für 1,40€, 56 für ?; d) 21 für 10,50€, 7 für ?.

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Problem 26

A company sells 200 m200 \mathrm{~m} rolls for R275,00 and 300 m300 \mathrm{~m} rolls for R375,00. Find cost per metre and better buy.

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Problem 27

Chloe sold 240 tortillas for R15 each. Calculate total income, expenses (fixed R500, cost R5 each), and profit.

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Problem 28

Find the output for input nn based on the pattern: 1 → 3, 2 → -1, 3 → -5, 4 → -9. What is the output for nn?

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Problem 29

A survey of 200 students on favorite sports needs table completion and analysis of popularity by gender.
a. Complete the table.
b. Identify the most and least popular sports overall.
c. Determine the most popular sport for females and males.

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Problem 30

Identify the type of data for the number of McDonald's restaurants: a) Interval, b) Nominal, c) Ordinal, d) Ratio.

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Problem 31

Select the sampling method used when choosing every 25th student from a list: a) Convenience b) Systematic c) Cluster d) Stratified e) Voluntary

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Problem 32

What type of sampling occurs when all Pellissippi students are emailed and only responders are counted? a) Cluster b) Stratified c) Convenience d) Voluntary e) Systematic

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Problem 33

Determine the sampling method when surveying students passing by the cafeteria: a) Convenience, b) Voluntary, c) Systematic, d) Stratified, e) Cluster.

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Problem 34

A company buys a robot for \$87,000. Analyze its 8-year depreciation data and answer the following:
a. Identify the function type and write a linear function for value VV over time tt. b. Graph the function and explain straight line depreciation. c. Interpret the slope and intercepts. d. Find a real-life example of straight line depreciation, model it, and graph it.

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Problem 35

A blue whale swims 2.5 miles in 5 minutes. Create a graph of distance vs. time. How far does it swim in 1 minute?

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Problem 36

Order the campsites by elevation: 1. 4 T/2 m4 \mathrm{~T} / 2 \mathrm{~m}, 2. 5.6 m5.6 \mathrm{~m}, 3. 23/8 m2 \mathrm{3} / 8 \mathrm{~m}, 4. 1.35 m1.35 \mathrm{~m}. A. 1,2,3,41,2,3,4 B. 1,3,4,21,3,4,2 C. 4,3,2,14,3,2,1 D. 2,4,3,12,4,3,1

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Problem 37

Order the campsites from lowest to highest elevation: 1) 41/241/2 m, 2) 5.65.6 m, 3) 2323 m, 4) 1.351.35 m. Options: A. 1,2,3,41,2,3,4 B. 1,3,4,21,3,4,2 C. 4,3,2,14,3,2,1 D. 2,4,3,12,4,3,1

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Problem 38

Calculate the following divisions: 9. 25÷13\frac{2}{5} \div \frac{1}{3}, 10. 78÷14\frac{7}{8} \div \frac{1}{4}, 11. 34÷16\frac{3}{4} \div \frac{1}{6}, 12. 1516÷34\frac{15}{16} \div \frac{3}{4}.
Order elevations: 1. 412 m4 \frac{1}{2} \mathrm{~m}, 2. 5.6 m5.6 \mathrm{~m}, 3. 23/8m2^{3 / 8 m}, 4. 1.35 m1.35 \mathrm{~m}. Choose A, B, C, or D.
Which fraction is between 2/32 / 3? A. 3/43 / 4, B. 1/21 / 2, C. 5/65 / 6, D. 1/51 / 5.

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Problem 39

What is the constant of proportionality for hours and wages given: Hours: 3, 5, 7, 9; Wages: \$38.25, \$63.75, \$89.25, \$114.70?

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Problem 40

Find the constant of proportionality (k) from the ticket prices. Write the equation y=kxy=k x for cost yy of xx tickets. A. y=8.5xy=8.5 x B. y=17xy=17 x C. y=9.5xy=9.5 x

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Problem 41

Underline the products less than 6 from the factors 110\frac{1}{10}, 13\frac{1}{3}, 12\frac{1}{2}, 1, 44\frac{4}{4}, 32\frac{3}{2} with product 6. What do the factors share?

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Problem 42

Find the average goals scored per year: 4.5, 4.04, 4.22. Plot these values on a number line in ascending order.

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Problem 43

Mrs. Sanchez rounds rulers to the nearest 10 and sharpeners to 100. Why won’t this strategy work? What should she do?

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Problem 44

Clonazepam 0.375mg0.375 \mathrm{mg} po bid for a 200 lbs patient. SDR: 0.010.03mg/kg/0.01-0.03 \mathrm{mg} / \mathrm{kg} / day in 232-3 doses.

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Problem 45

Analyze survey data on high school graduation plans for white and minority students. Calculate various percentages based on the data.

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Problem 46

Dibuja un histograma de los tiempos de pago: 19,15,43,39,35,31,27,22,18,14,42,38,13,13,13,41,41,41,37,37,37,3319,15,43,39,35,31,27,22,18,14,42,38,13,13,13,41,41,41,37,37,37,33. Usa límites de clase 12.5 y ancho 7.

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Problem 47

Find the grouped frequency distribution for these test scores: 83, 85, 97, 91, 92, 82, 90, 89, 91, 83, 93, 88, 86, 84, 98. Class width is 5. Then, draw a frequency polygon with midpoints labeled.

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Problem 48

Find which two employees have the same hourly rate based on their hours and earnings. Keena's earnings are missing.

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Problem 49

Find the number of teachers at BCHS teaching Biology, Physical Education, both, or neither using Venn diagrams.

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Problem 50

Trucks carried peaches: 34 early, 61 late, 50 extra late. Find trucks with only late, only extra late, only one type, and total.

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Problem 51

Identify a value from the range of function AA given the pairs: (1,1)(-1, 1), (2,2)(-2, 2), (3,3)(-3, 3), (4,4)(-4, 4), (5,5)(-5, 5).

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Problem 52

Create a bar graph for enrollment data: 2006 (2255), 2007 (2363), 2009 (2577), 2010 (2759), 2011 (2605), 2013 (2535), 2014 (2389).

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Problem 53

Graph Jeriel's temperature data starting at 56F56^{\circ} \mathrm{F}, rising and falling over the day, ending at 6060^{\circ}.

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Problem 54

Find the volume of 75 grams of a substance given its density.

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Problem 55

Find the equation for the function f(x)f(x) using these points: (2, 4.6), (4, 6.0), (6, 7.4), (8, 8.8), (10, 10.2).

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Problem 56

Analyze the function values for f(x)f(x): f(2)=400f(2)=400, f(4)=100f(4)=100, f(6)=200f(6)=-200, f(8)=500f(8)=-500, f(10)=800f(10)=-800. What pattern do you see?

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Problem 57

Create a two-way table for joint and marginal relative frequencies, rounding to the nearest hundredth if needed.

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Problem 58

Complete the contingency table for 125 employees with credit card data. Fill in the missing values:
 Credit Card  No Credit Card  Total  Seasoned Employee 65 New Employee 989125 Total 36\begin{array}{llll} & \text { Credit Card } & \text { No Credit Card } & \text { Total } \\ \text { Seasoned Employee } & & 65 & \square \\ \text { New Employee } & 9 & 89 & 125 \\ \text { Total } & 36 & \end{array}

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Problem 59

Make a histogram for Steph Curry's scores: 36,30,37,39,38,15,35,38,25,3436,30,37,39,38,15,35,38,25,34. Use 5-point intervals from 101510-15 to 354035-40.

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Problem 60

Find the total number of students who took the test using the frequency data for times: 38 (10), 36 (7), 34 (1), 32 (3), 30 (6).

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Problem 61

What is the class width of the snowfall frequency table: 030-3, 474-7, 8118-11, 121512-15, 161916-19? a) 19 b) 4 c) 3 d) 5

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Problem 62

How many batteries lasted less than 410 minutes based on the given frequency data?

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Problem 63

Calculate the percentage of sweater prices below \$4 from the given stem-and-leaf plot.

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Problem 64

At a party of 27 people, 11 are under 30. How many are under 30?

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Problem 65

Jasmine seeks a job with median earnings $33,500\geq \$33,500 without college. Which fits? a. Makeup artist b. Mathematician c. Private detective d. Massage therapist

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Problem 66

Analyze 400 accidents to find proportions related to alcohol and vehicle involvement. Answer questions based on these ratios.

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Problem 67

Identify subatomic particles based on their properties: name, symbol, charge, mass, and location (A or B).

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Problem 68

Find the density of an object using water displacement: initial level 25.0 ml, final 29.0 ml, mass 8.51 g.

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Problem 69

Check if any element with atomic number 92\leq 92 matches the given descriptions. Mark Yes/No and provide the symbol if Yes.

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Problem 70

Elk County Telephone's next dividend is \$3.02. Calculate share price for 13% and 10% returns, then compare results.

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Problem 71

Longhorn Corp needs to prepare its financial statements. Given data includes cash \$1,200, equipment \$29,000, and more.
1. Create the income statement.
2. Create the statement of stockholders' equity.
3. Create the balance sheet.

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Problem 72

Given a stem-and-leaf plot, find the total data values, min in last class, min overall, and count > 50.

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Problem 73

Given a stem-and-leaf plot, find the total data values, min in last class, min overall, and count > 40.

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Problem 74

Complete the last row of the stem-and-leaf plot using this data: 51, 21, 37, 38, 32, 35, 56, 38, 43, 31, 55, 22, 37, 26, 24, 34, 30, 37, 22, 39, 41, 31, 33, 40, 25, 29, 47, 38, 28, 44. List answers separated by commas.

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Problem 75

Data set: stem-and-leaf plot. Find total values, min in last class, count & percent (rounded) of values 70\geq 70.

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Problem 76

Create a stem-and-leaf plot using the scores: 50, 57, 51, 69, 66, 94, 73, 77, 59, 64, 50, 57, 71, 85, 59, 72, 56, 85, 64, 53, 62, 83, 70, 73, 68, 95, 85, 60, 52. Describe the distribution shape.

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Problem 77

Complete the last row of the stem-and-leaf plot using the data set: 52, 53, 52, 58, 50, 67, 72, 55, 78, 62, 64, 59, 56, 43, 59, 71, 48, 41, 46, 50, 63, 54, 57, 53, 40, 68, 46, 46, 55, 48. Enter your answers as a list separated by commas.

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Problem 78

Count the cola preferences from the data: Shasta, Coke, and Pepsi. Create a frequency and relative frequency table.

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Problem 79

Create a stem-and-leaf plot for these scores: 55, 59, 69, 50, 76, 74, 62, 85, 69, 89, 69, 54, 51, 56, 95, 60, 55, 76, 77, 69, 80, 70, 53, 59, 57, 63, 63, 53, 73. Describe its shape.

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Problem 80

Find the relative frequencies (in %) for grades A, B, C, D, F with frequencies 3,14,17,6,23, 14, 17, 6, 2. Round to two decimal places.

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Problem 81

Find the lower class limits, upper class limits, class width, midpoints, boundaries, and total individuals for:
Age (yr) Frequency 20-29: 27, 30-39: 33, 40-49: 15, 50-59: 4, 60-69: 5, 70-79: 2, 80-89: 2.

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Problem 82

Find the lower class limits, upper class limits, class width, midpoints, boundaries, and total individuals for the data.

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Problem 83

Longhorn Corp needs financial statements: 1. Income statement, 2. Stockholders' equity, 3. Balance sheet. Given data includes cash \$1,200, service revenue \$67,700, equipment \$29,000, accounts payable \$4,400, buildings \$53,400, delivery expense \$2,600, supplies \$4,000, salaries expense \$5,500, salaries payable \$300, common stock \$40,000 (plus \$4,000 issued), retained earnings \$18,200.

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Problem 84

A shower uses water at a constant rate. Find the constant of proportionality for shower length (minutes) to water used (gallons).

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Problem 85

A shower uses water at a constant rate. Find the constant of proportionality and the unit rate of water used per minute.

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Problem 86

A shower uses water at a constant rate. Find the constant of proportionality and write the equation relating shower length ss to water used ww.

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Problem 87

a. Find the constant of proportionality for shower length and water used. It's 2 gallons/minute. b. What is the unit rate of water used per minute? It's 2 gallons/minute. c. For any shower length ss, water used w=2sw = 2s.

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Problem 88

Complete the table showing the relationship between children and balloons, then answer questions A-D.

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Problem 89

The table shows the number of children at a party and balloons given by a clown. Find the constant of proportionality and explain.

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Problem 90

Calculate Tyrell's dive score using scores 8.0,7.5,6.5,7.5,7.08.0, 7.5, 6.5, 7.5, 7.0 and difficulty 2.52.5. What is his final score?

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Problem 91

A survey shows: 51 like Math, 49 like English, 60 like Science, 34 like Math & English, 32 like English & Science, 36 like Math & Science, 24 like all three, and 1 dislikes all. Create a Venn diagram to represent this data.

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Problem 92

Estimate yy for x=1x=1 and x=6x=6 using the model y=0.88x+18.69y=0.88x+18.69. What are the values?

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Problem 93

Given the function f(x)f(x) from a table, verify if: a. h(3)=43h(3)=\frac{-4}{3}, c. f(1)=3f(-1)=3, e. g(2)=2g(2)=2 or -3.

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Problem 94

Identify two statistical questions from the following: (A) Age of students at my school? (B) Year Mississippi became a state? (C) Dogs owned by my teacher? (D) Height of tallest mountain? (E) Favorite color of sixth graders at mm school?

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Problem 95

Eva earns a 5% commission. Calculate her total commission from selling 10 refrigerators at \$1,200, 6 washers at \$650, 12 dryers at \$600, and 8 dishwashers at \$450.

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Problem 96

Eva earns an 8%8\% commission. Calculate her total commission based on her weekly sales: 4 refrigerators at \$2,200, 7 washers at \$1,650, 7 dryers at \$1,200, and 6 dishwashers at \$450.

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Problem 97

Does the point (10.5,42)(10.5,42) make sense for bracelet lengths and beads? Explain based on the given data.

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Problem 98

Which sampling method should Jill use to find the most popular sport among students? (A) First 15 in cafeteria (B) Every third student (C) All sports team members (D) All gym class students.

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Problem 99

Graph the cost of pumpkins (0,4,8,12,160, 4, 8, 12, 16 for 0,1,2,3,40, 1, 2, 3, 4 pumpkins) and explain if it's proportional.

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Problem 100

Graph the relationship between Celsius and Fahrenheit temperatures. Is Fahrenheit proportional to Celsius? Explain.

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