Data

Problem 1001

ractice and Problem Solving ple 1 Express each relation as a table, a graph, and a mapping. Then determine the domain and range.
9. $\{(0,0),(-3,2),(6,4),(-1,1)\}$
10. $\{(5,2),(5,6),(3,-2),(0,-2)\}$

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Problem 1002

A biologist conducted a six-month field study of a small plot of land. The following table shows the population of a species of meadow mouse during that time. \begin{tabular}{|c|c|} \hline Month, $x$ & Population, $f(x)$ \\ \hline 0 & 2 \\ \hline 1 & 5 \\ \hline 2 & 9 \\ \hline 3 & 15 \\ \hline 4 & 23 \\ \hline 5 & 28 \\ \hline 6 & 31 \\ \hline \end{tabular} Copy Data
Use the regression commands on a TI-84 Plus to find the logistic function of best fit and use the function to extrapolate the mouse population at the end of one year. Round your answer to the nearest whole number.
Answer Keypad Keyboard Shortcut

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Problem 1003

\begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{Simple US Conversions} \\ \hline \multicolumn{2}{|l|}{Convert the US measurements as indicated. Round your results to two decimal places as needed.} \\ \hline 5 cups $=$ & ounces \\ \hline 50 days $=$ & weeks \\ \hline 22 feet $=$ & yards \\ \hline 2.4 miles $=$ & feet \\ \hline \end{tabular}

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Problem 1004

For each system listed in the first column of the table below, decide (if possible) whether the change described in the second column will increase the entropy $S$ of the system, decrease $S$ , or leave $S$ unchanged. If you don't have enough information to decide, check the "not enough information" button in the last column. \begin{tabular}{|c|c|c|} \hline System & Change & $\Delta S$ \\ \hline A few moles of carbon dioxide $\left(\mathrm{CO}_{2}\right)$ gas. & The carbon dioxide is heated from $6.0^{\circ} \mathrm{C}$ to $9.0^{\circ} \mathrm{C}$ and is also compressed from a volume of 13.0 L to a volume of 9.0 L . & $\Delta S<0$ $\Delta S=0$ $\Delta S>0$ not enough information \\ \hline A few grams of liquid ammonia $\left(\mathrm{NH}_{3}\right)$ . & The ammonia is cooled from $25.0^{\circ} \mathrm{C}$ to $9.0^{\circ} \mathrm{C}$ . & $\Delta S<0$ $\Delta S=0$ $\Delta S>0$ not enough information \\ \hline A few moles of carbon dioxide $\left(\mathrm{CO}_{2}\right)$ gas. & The carbon dioxide expands from a volume of 6.0 L to a volume of 8.0 L while the temperature is held constant at $78.0^{\circ} \mathrm{C}$ . & $\Delta S<0$ $\Delta S=0$ $\Delta S>0$ not enough information \\ \hline \end{tabular}

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Problem 1005

The following table gives an estimate of basic caloric needs for different age groups and activity levels in a county. Complete parts a through c. \begin{tabular}{|c|c|c|c|c|c|c|} \hline Age Range & \multicolumn{2}{|c|}{ Sedentary } & \multicolumn{2}{c|}{ Moderately Active } & \multicolumn{2}{c|}{ Active } \\ \hline & Men & Women & Men & Women & Men & Women \\ \hline $\mathbf{1 9 - 3 0}$ & 2500 & 2100 & 2800 & 2300 & 3200 & 2700 \\ \hline $\mathbf{3 1 - 5 0}$ & 2200 & 1800 & 2500 & 2000 & 2900 & 2200 \\ \hline $\mathbf{5 1 +}$ & 1900 & 1500 & 2100 & 1600 & 2400 & 1900 \\ \hline \end{tabular} a. Use a $3 \times 3$ matrix, $M$ , to represent the daily caloric needs, by age and activity level, for men. $\mathrm{M}=\square$ (Type an integer or simplified fraction for each matrix element.) b. Use a $3 \times 3$ matrix, W , to represent the daily caloric needs, by age and activity level, for women. $\mathrm{w}=\square$ $\square$ (Type an integer or simplified fraction for each matrix element.) c. Find $M-W$ . $\mathrm{M}-\mathrm{W}=\square$ (Type an integer or simplified fraction for each matrix element.)

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Problem 1006

\begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-2 & -14 \\ \hline-1 & -9 \\ \hline 0 & -4 \\ \hline 1 & 1 \\ \hline 2 & 6 \\ \hline 3 & 11 \\ \hline \end{tabular}

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Problem 1007

Complete the table below. Round each of your entries to 2 significant digits. You may assume the temperature is $25^{\circ} \mathrm{C}$ . \begin{tabular}{|c|c|c|c|} \hline \multicolumn{2}{|c|}{ conjugate acid } & \multicolumn{1}{c|}{ conjugate base } \\ \hline formula & $K_{a}$ & formula & $K_{b}$ \\ \hline $\mathrm{HCH}_{3} \mathrm{CO}_{2}$ & $1.8 \times 10^{-5}$ & $\square$ & $\square$ \\ \hline $\square$ & $\square$ & $\mathrm{ClO}^{-5}$ & $3.3 \times 10^{-7}$ \\ \hline HCN & $4.9 \times 10^{-10}$ & $\square$ \\ \hline \end{tabular}

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Problem 1008

A postal carrier delivered letters, ads, and magazines. Find probabilities for various scenarios based on the total distributions.

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Problem 1009

Find the percentile of 7.1 lbs, calculate $Q_{1}, Q_{2}, Q_{3}$ , create a box plot, and analyze its skewness. Also, find binomial probabilities for 4 and at least 6 out of 7 adults enjoying superhero movies.

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Problem 1010

7.- A pro shop has a probability distribution for golf ball orders. a) Find the probability of ordering at most 2 golf balls. b) Find the probability of ordering at least one golf ball. c) Find the mean.
8.- A teacher claims the mean height of 5-year-olds is more than 95 cm. a) State the null and alternative hypothesis. b) Find the test statistic. c) Find the P-value or critical points. d) Make a decision using P-value or critical values. e) State your conclusion.

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Problem 1011

Find the linear function $y=f(x)=a x+b$ using points (-1, 5), (1, 9), (3, 13), (5, 17).

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Problem 1012

A songwriter studies the correlation between song length (in seconds) and weeks at number one. Use significance level 0.05 to analyze:
a) Set null and alternative hypotheses. b) Calculate $r$ , statistic value $t$ , and $p$ -value. c) Find critical values for $r$ . d) Decide using p-value or critical values.

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Problem 1013

Grade 12 Math: Analyze the 2023 North West budget table. Answer questions on budget meaning, highest allocation, and find $X$ , $Y$ , $Z$ .

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Problem 1014

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 $X$ if the range for 2023/24 is R20,093,300. 1.1.5 Calculate total allocation $Y$ for 2023/24. 1.1.6 If the mean for 2024/25 is R3,994,769, find $Z$ for Social Development.

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Problem 1015

Find the mode, median, and mean of the weekly wages of 65 employees: 55 (8), 65 (10), 785 (16), 85 (14), 95 (10), 105 (5), 115 (2).

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Problem 1016

Calculate the correlation coefficient between annual growth of National Income and Gross Domestic Saving from 1992-2002.

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Problem 1017

Identify the domain and range of the set $\{(3,2),(5,7),(1,4),(9,2),(3,7)\}$ and determine if it is a function.

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Problem 1018

Find the domain and range of the set $\{(1,2),(2,5),(3,1),(1,6),(4,8)\}$ . Is it a function?

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Problem 1019

Determine the domain and range of the set $\{(6,2),(3,5),(9,0),(5,7),(8,1)\}$ and check if it's a function.

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Problem 1020

Find the domain and range of the set of points $\{(1,9),(2,7),(5,4),(7,12),(3,9)\}$ .

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Problem 1021

Find the domain and range of the set $\{(0,2),(3,3),(8,7),(2,2),(3,9)\}$ and determine if it's a function.

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Problem 1022

Which option is true about the data sets $X = \{6, 8, 10, 12, 14\}$ and $Y = \{3, 4, 5, 24, 7\}$ ? A) $Y$ is skewed. B) $X$ has no mode. C) Mean of $Y$ is 5. D) Both are symmetrical.

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Problem 1023

Calculate the average waiting time for processes P1 (12), P2 (4), P3 (8), P4 (2), and P5 (6) using Shortest-Job-First scheduling.

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Problem 1024

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

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Problem 1025

Calculate the median of the following rates: € 1.19, € 1.15, € 1.16, € 1.17, € 1.17, € 1.15, € 1.16, € 1.18, € 1.17, € 1.19, € 1.18, € 1.20.

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Problem 1026

Find the mode and median of the ages of 21 students: 16 (6), 17 (3), 18 (8), 19 (4) years.

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Problem 1027

Find the mode and median of the button counts: 30 (2), 32 (5), 28 (3), 33 (1).

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Problem 1028

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 $=1$ was initiated by user1.
5. None of the mentioned.
6. Process with pid=1909 has two parent processes.

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Problem 1029

Calculate the mean race time for 15 runners with the following times: 10 (4), 11 (5), 12 (3), 14 (2), 15 (1) minutes.

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Problem 1030

15 students scored goals: 8 scored 1, 4 scored 2, 2 scored 3, 1 scored 4. Find the mode and median of goals scored.

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Problem 1031

Complete the frequency table and find the mean, given $\Sigma f = 113$ and $\Sigma f x = 292$ .

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Problem 1032

Calculate the average distance walked by the group using the data: 8, 10, 12, 14, 16, 20 miles with respective walkers.

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Problem 1033

Complete the frequency table, calculate the mean ( $\frac{292}{113} \approx 2.6$ ), and find the median.

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Problem 1034

Find the mean number of books sold given the frequency data: 0 (2), 1 (4), 2 (3), 3 (6), 4 (3), 5 (2).

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Problem 1035

Calculate the mean rate charged for rooms based on the rates: £120 (26), £90 (4), £100 (0), £140 (12), £155 (3).

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Problem 1036

Calculate the mean rate charged for rooms occupied that night given the rates: Double £120, Single £90, Superior £100, Double with View £140, King with View £155.

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Problem 1037

Complete the table and find the mean number of apples, given frequencies and products: $x$ , $f$ , and $fx$ .

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Problem 1038

Calculate the estimated mean revision time for 120 students given the following time intervals and frequencies:
$0<t \leq 15$ : 0, $15<t \leq 30$ : 20, $30<t \leq 45$ : 50, $45<t \leq 60$ : 50.

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Problem 1039

(a) Fill in the missing values in the frequency distribution table. (b) Find the mean: $\frac{292}{113} \approx 2.6$ . (c) Determine the median. (d) Create a frequency histogram.

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Problem 1040

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 1041

Find the central tendency measures (mode, median, mean) and compute range, IQR, quartile deviation, and standard deviation for the data: Marks: 0-20 (5), 20-40 (15), 40-60 (30), 60-80 (8), 80-100 (2).

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Problem 1042

Find the next term in the sequence: 45, 94, 143, 192.

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Problem 1043

Match the sequences: $126,139,152,165,178$ ; $89,222.5,556.25,1390.625,3,476.5625$ ; $3,3,6,9,15,24$ ; $36,45,55,66,78$ ; $441,484,529,576,625$ with sequence types: Fibonacci, Arithmetic, Cube, Square, Geometric, Triangular.

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Problem 1044

Find $A$ given that $AB=\frac{2}{3}CH$ and $AB+CH=30 \text{ cm}$ .

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Problem 1045

Untersuche, ob die Zahlenfolgen geometrisch sind. Wenn ja, gib die Formel an. Wenn nicht, wie kann man sie ändern?
a) $b_0 = 1$ , $b_1 = -2$ , $b_2 = 4$ b) $b_2 = 100$ , $b_4 = 4$ , $b_6 = 0.25$ c) $b_0 = 8$ , $b_2 = 18$ , $b_5 = 60.75$ d) $b_1 = -1$ , $b_2 = 1$ , $b_5 = 1$

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Problem 1046

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 1047

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 1048

Find the price in euros for an item with mass 25, given 5 units cost 4.50 and the pricing is linear.

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Problem 1049

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

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Problem 1050

In a spreadsheet, A1 contains 3. Cells A2 to A7 have formulas: $2=12+A1$ , $3=12+A2$ , etc. What is the value in A7?

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Problem 1051

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

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Problem 1052

Find the intersection point $(x, y)$ of the two linear equations given their points:
1st: $(-2, 15), (0, 11), (2, 8), (4, 5)$ 2nd: $(-2, 4), (0, 6.5), (2, 8), (4, 9.5)$ .

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Problem 1053

Complete the table for the function where the output is $4n + 1$ . Find the output for $n = 5$ and beyond.

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Problem 1054

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

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Problem 1055

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 1056

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 1057

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 $V$ over time $t$ . 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 1058

Order the campsites by elevation: 1. $4 \mathrm{~T} / 2 \mathrm{~m}$ , 2. $5.6 \mathrm{~m}$ , 3. $2 \mathrm{3} / 8 \mathrm{~m}$ , 4. $1.35 \mathrm{~m}$ . A. $1,2,3,4$ B. $1,3,4,2$ C. $4,3,2,1$ D. $2,4,3,1$

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Problem 1059

Order the campsites from lowest to highest elevation: 1) $41/2$ m, 2) $5.6$ m, 3) $23$ m, 4) $1.35$ m. Options: A. $1,2,3,4$ B. $1,3,4,2$ C. $4,3,2,1$ D. $2,4,3,1$

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Problem 1060

Find the mean wind chill temperature in degrees Fahrenheit for these values: -5, -4, 3, -11, 2, -8, 5, -6.

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Problem 1061

Find the constant of proportionality for the values: (-4, -24), (0, 0), (7, 42), (11, 66), (15, 90).

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Problem 1062

Find the cups of sugar for 1 cup of flour, given the ratio: 2 cups sugar to 5 cups flour.

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Problem 1063

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 1064

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

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Problem 1065

Sort the clinic visitor data, find the mode, and determine the median from these numbers: 34, 6, 23, 12, 37, 3, 28, 8, 22, 17, 26, 18, 12, 16, 11, 23, 39, 15, 31, 12, 10, 19, 14, 25, 20, 9.

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Problem 1066

Complete the table for half-yearly compounded interest:
Principal: \$40000, Rate: 4\%, Time: 1yr; Principal: \$27500, Rate: 6\%, Time: 2yrs; Principal: \$8000, Rate: 10\%, Time: 1.5yrs. Calculate the amounts.

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Problem 1067

Berechne den Flächeninhalt $A$ des Dreiecks und die gesuchten Längen: a) $c=7,2 \mathrm{~cm}, a=4 \mathrm{~cm}, h_{c}=3,5 \mathrm{~cm} ; h_{a}=$ ? b) $a=9,6 \mathrm{~cm}, b=4 \mathrm{~cm}, h_{a}=5,5 \mathrm{~cm} ; h_{b}=$ ? c) $b=12 \mathrm{~cm}, h_{b}=9,5 \mathrm{~cm}, h_{c}=19 \mathrm{~cm} ; c=$ ? d) $c=11,2 \mathrm{~cm}, h_{c}=7,7 \mathrm{~cm}, h_{b}=5,6 \mathrm{~cm} ; b=$ ?

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Problem 1068

Find the mode, median, and mean of the quiz scores: 5 (9), 8 (15), 9 (5), 10 (1). Total students = 30. Median =

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Problem 1069

Find the mode, median, and mean of the weights given: 60 (8), 65 (6), 70 (4), 75 (2) for 20 students.

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Problem 1070

Determine the signs of the six trigonometric functions for the angle $261^{\circ}$ . Fill in the table.

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Problem 1071

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

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Problem 1072

Identify products less than 6 (underline) and greater than 6 (circle). What do their factors have in common? Factors are 5 and a.

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Problem 1073

Match quantum numbers to subshells: 1: $n=2, l=0$ 2: $n=3, l=2$ 3: $n=1, l=0$ 4: $n=2, l=1$ 5: $n=4, l=3$ Options: $2p$ , $3d$ , $2s$ , $4f$ , $1s$

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Problem 1074

Given $m=4$ students, find the normalized feature $x_{2}^{(4)}$ for midterm score $=69$ using $x_{2}=(\text{midterm score})^2$ . Round to two decimal places.

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Problem 1075

Find the average rate of change of the function from $x=3$ to $x=5$ . Options: A. 98 B. 49 C. 37 D. 76

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Problem 1076

Find the average rate of change for the quadratic function from $x=7$ to $x=8$ given the vertex at $(0,3)$ .

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Problem 1077

Identify the parent function from the table:
$x: -2, -1, 0, 1, 2$ and $y: 4, 1, 0, 1, 4$ .
Options: A. $f(x)=|x|$ B. $f(x)=x$ C. $f(x)=2^{x}$ D. $f(x)=x^{2}$

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Problem 1078

Beregn rabatpriser: a) $70\%$ af $680$ , b) $70\%$ af $870$ , c) $25\%$ af $392$ , d) $30\%$ af $350$ , e) $20\%$ af $260$ , f) $22\%$ af $550$ , g) $20\%$ af $195$ , h) $92\%$ af $150$ .

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Problem 1079

Find vækst % fra start- og slutværdi: a) 852 til 1003, b) 109 til 189, c) 668 til 839, d) 325 til 353, e) 73 til 112.

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Problem 1080

Find the mean, median, and mode for the data set: 14, 10, 16, 14, 11.

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Problem 1081

Solve the following addition problems:
1. $40+3=$
2. $40+8=$
3. $40+9=$
4. $40+10=$
5. $41+10=$
6. $45+44=$
7. $44+45=$
8. $30+20=$
9. $34+20=$
10. $34+21=$
11. $34+25=$

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Problem 1082

List the numbers in ascending order: 6.25, 4.23, 6.2, 3.33, 4.3, 3.43, 5.8, 4.99, 5.3.

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Problem 1083

Identify the type of function for $g(x)$ given the values: $g(\frac{1}{9})=-2$ , $g(\frac{1}{3})=-1$ , $g(1)=0$ , $g(3)=1$ , $g(9)=2$ , $g(27)=3$ , $g(81)=4$ . Options: Rational, Polynomial, Logarithmic, Exponential.

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Problem 1084

Solve: 4 tens + 6 tens, 8 hundreds + 2 hundreds, 5 thousands + 7 thousands. Write answers in standard form.

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Problem 1085

Find the square roots of these numbers: 1) $\frac{25}{16}$ , 2) 1.96, 3) 0.25, 4) $\frac{49}{400}$ .

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Problem 1086

Round the following numbers to the nearest hundred: 432, 562, 1395, 3278.

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Problem 1087

The table shows how a 2-acre piece of land is split into 4 sections for holding animals. How many acres are used for horses? \begin{tabular}{|c|c|} \hline Goats & $\frac{3}{5}$ acre \\ \hline Pigs & $\frac{1}{5}$ acre \\ \hline Llamas & $\frac{2}{5}$ acre \\ \hline Horses & $?$ \\ \hline \end{tabular}
Number of Acres with Horses CLEAR CHECK $\square$ $\square$

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Problem 1088

The table shows how a 3 -square-foot shelf is split into 6 sections for storing art materials. How many square feet are there for storing paint? \begin{tabular}{|c|c|} \hline Glue & $\frac{1}{3}$ square foot \\ \hline Paper & $\frac{2}{3}$ square foot \\ \hline Brushes & $\frac{1}{3}$ square foot \\ \hline Markers & $\frac{1}{3}$ square foot \\ \hline Scissors & $\frac{2}{3}$ square foot \\ \hline Paint & $?$ \\ \hline \end{tabular}
Number of Square Feet for Paint CLEAR CHECK $\square$ $\square$

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Problem 1089

Determine the rule of the exponential function in the form $y=a c^{x}$ that is represented in the table of values below. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-1 & $\frac{8}{15}$ \\ \hline 0 & $\frac{2}{5}$ \\ \hline 1 & $\frac{3}{10}$ \\ \hline \end{tabular}

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Problem 1090

Suppose a new sedan car in 2013 or 2014 , which has a gas mileage in the city of 40 to 50 mpg , had the following prices: \begin{tabular}{|c|c|c|} \hline Curyes (t) & & \\ \hline 32.601 & 29.900 & 27,800 \\ \hline 37,600 & 31,900 & 35,000 \\ \hline 26,600 & 31,100 & 38,000 \\ \hline 31,800 & 38,000 & 29,800 \\ \hline 33.600 & 36.810 & 32,500 \\ \hline 20,600 & & \\ \hline \end{tabular} a) Find the five-number summary for this data. Enter the values in the order of Minimum, Quartile 1, Median, Quartile 3, and Maximum, separated by commas. b) Find the interquartile range. c) Create a boxplot for this data by dragging the points on the number line.

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Problem 1091

\begin{tabular}{|c|c|c|} \hline $x$ & $y$ \\ \hline-2 & -124 \\ \hline-1 & -79 \\ \hline 0 & -44 \\ \hline 1 & -19 \\ \hline 2 & -4 \\ \hline 3 & 1 \\ \hline \end{tabular}

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Problem 1092

On Monday, Rebecca purchased $5 \frac{2}{3}$ ounces of rice. On Friday, she purchased $4 \frac{1}{4}$ ounces of rice.
What is a good estimate for the total ounces of rice Rebecca purchased on both days?
Rebecca's Purchase Log \begin{tabular}{|c|c|c|c|c|} \hline Monday & Tuesday & Wednesday & Thursday & Friday \\ \hline $5 \frac{2}{3}$ & & & & $4 \frac{1}{4}$ \\ ounces & & & & ounces \\ \hline \end{tabular} CLEAR CHECK
Pick the two closest whole numbers to the total. For both days, Rebecca purchased more than $\square$ ounces and less than $\square$ ounces of rice.

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Problem 1093

13. \begin{tabular}{c|c|c|c|} $t$ & 0.01 & 1 & 2.5 \\ \hline $\frac{9.5}{t}+3.2 t$ & & & $\square$ \\ & \\ \hline \end{tabular}

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Problem 1094

Question Watch Video Show Examples
Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval $4 \leq x \leq 5$ . \begin{tabular}{|c|c|} \hline $x$ & $f(x)$ \\ \hline 3 & 3 \\ \hline 4 & 9 \\ \hline 5 & 27 \\ \hline 6 & 81 \\ \hline \end{tabular}
Answer Attempt 1 out of 2 $\square$ Submit Answer

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Problem 1095

Here are some facts about units of weight. \begin{tabular}{|c|c|c|} \hline Unit & Symbol & Fact \\ \hline ounce & oz & \\ pound & lb & $1 \mathrm{lb}=16 \mathrm{oz}$ \\ \hline ton & T & $1 \mathrm{~T}=2000 \mathrm{lb}$ \\ \hline \end{tabular}
Fill in the blanks. $\begin{array}{r} 2 \mathrm{~T}=\square \mathrm{lb} \\ 9 \mathrm{lb}=\square \mathrm{oz} \end{array}$

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Problem 1096

Part 1 of 4 Points: 0 of 1 Save
The accompanying data set includes volumes (ounces) of a sample of cans of regular Coke. The summary statistics are $n=36, \bar{x}=12.192 \mathrm{oz}, \mathrm{s}=0.099 \mathrm{oz}$ . Assume that a simple random sample has been selected. Use a 0.01 significance level to test the claim that cans of Coke have a mean volume of 12.00 ounces. Does it appear that consumers are being cheated?
Click the icon to view the data set of regular Coke can volumes.
Identify the null and alternative hypotheses. $\mathrm{H}_{0}$ : $\square$ $\square$ $\square$ $\mathrm{H}_{1}$ : $\square$ $\square$ (Type integers or decimals. Do not round.)

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Problem 1097

One spring, a group of students measured rainfall totals at their school. This chart shows how many inches of rain the students measured each month. How much rainfall did they receive in April and May combined? \begin{tabular}{|l|l|} \hline MONTH & RAINFALL \\ \hline March & 5.5 \\ \hline April & 15.8 \\ \hline May & 3.5 \\ \hline \hline \end{tabular}

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Problem 1098

One spring, a group of students measured rainfall totals at their school. This chart shows how many inches of rain the students measured each month. How much total rainfall did they receive at their school that spring? \begin{tabular}{|l|l|} \hline MONTH & RAINFALL \\ \hline March & 1.1 \\ \hline April & 4.1 \\ \hline May & 6.1 \\ \hline \end{tabular}
Answer here

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Problem 1099

A pet association claims that the mean annual costs of food for dogs and cats are the same. The results for samples or the two types of pets are shown below. At $\alpha=0.05$ , can you reject the pet association's claim? Assume the oopulation variances are equal. Assume that the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). \begin{tabular}{|l|l|} \hline \multicolumn{1}{|c|}{ Dogs } & \multicolumn{1}{c|}{ Cats } \\ \hline $\bar{x}_{1}=\$ 257$ & $\bar{x}_{2}=\$ 230$ \\ $s_{1}=\$ 31$ & $s_{2}=\$ 27$ \\ $n_{1}=16$ & $n_{2}=17$ \\ \hline \end{tabular} D. The rejection regions are $t<-2.04$ and $t>2.04$ . (c) Find the standardized test statistic. $\mathrm{t}=2.67$ (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. $\square$ Reject the null hypothesis because the test statistic is $\square$ in a/the rejection region. (e) Interpret the decision in the context of the original claim.
At the $5 \%$ significance level, $\square$ enough evidence to $\square$ the claim that the mean annual cost of food for dogs is $\square$ the mean annual cost of food for cats.

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Problem 1100

2. Real estate agents are analyzing the cost of homes in the suburbs of New York City. Below is the data they collected. a) Determine the LSRL using this data. Round to the hundredths place. $y=$ $\qquad$ b) There is a home 15 miles from New York City, what is its predicted cost? (Show the calculations that lead your answer.) \begin{tabular}{|c|c|c|c|c|c|} \hline \begin{tabular}{c} Miles from New York City, \\ $x$ \end{tabular} & 10 & 35 & 50 & 65 & 75 \\ \hline \begin{tabular}{c} Price of 3 Bedroom Home, \\ $y$ \end{tabular} & 755,000 & 650,000 & 580,000 & 505,000 & 475,000 \\ \hline \end{tabular} c) What is the correlation coefficient of the data? $r=0,99$

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Data

Problem 1001

Problem 1002

Problem 1003

Problem 1004

Problem 1005

Problem 1006

\begin{tabular}{|c|c|} \hlinexxx & yyy \\ \hline-2 & -14 \\ \hline-1 & -9 \\ \hline 0 & -4 \\ \hline 1 & 1 \\ \hline 2 & 6 \\ \hline 3 & 11 \\ \hline \end{tabular}

Problem 1007

Problem 1008

A postal carrier delivered letters, ads, and magazines. Find probabilities for various scenarios based on the total distributions.

Problem 1009

Find the percentile of 7.1 lbs, calculate Q1,Q2,Q3Q_{1}, Q_{2}, Q_{3}Q1​,Q2​,Q3​, create a box plot, and analyze its skewness. Also, find binomial probabilities for 4 and at least 6 out of 7 adults enjoying superhero movies.

Problem 1010

Problem 1011

Find the linear function y=f(x)=ax+by=f(x)=a x+by=f(x)=ax+b using points (-1, 5), (1, 9), (3, 13), (5, 17).

Problem 1012

Problem 1013

Grade 12 Math: Analyze the 2023 North West budget table. Answer questions on budget meaning, highest allocation, and find XXX, YYY, ZZZ.

Problem 1014

Problem 1015

Find the mode, median, and mean of the weekly wages of 65 employees: 55 (8), 65 (10), 785 (16), 85 (14), 95 (10), 105 (5), 115 (2).

Problem 1016

Calculate the correlation coefficient between annual growth of National Income and Gross Domestic Saving from 1992-2002.

Problem 1017

Identify the domain and range of the set {(3,2),(5,7),(1,4),(9,2),(3,7)}\{(3,2),(5,7),(1,4),(9,2),(3,7)\}{(3,2),(5,7),(1,4),(9,2),(3,7)} and determine if it is a function.

Problem 1018

Find the domain and range of the set {(1,2),(2,5),(3,1),(1,6),(4,8)}\{(1,2),(2,5),(3,1),(1,6),(4,8)\}{(1,2),(2,5),(3,1),(1,6),(4,8)}. Is it a function?

Problem 1019

Determine the domain and range of the set {(6,2),(3,5),(9,0),(5,7),(8,1)}\{(6,2),(3,5),(9,0),(5,7),(8,1)\}{(6,2),(3,5),(9,0),(5,7),(8,1)} and check if it's a function.

Problem 1020

Find the domain and range of the set of points {(1,9),(2,7),(5,4),(7,12),(3,9)}\{(1,9),(2,7),(5,4),(7,12),(3,9)\}{(1,9),(2,7),(5,4),(7,12),(3,9)}.

Problem 1021

Find the domain and range of the set {(0,2),(3,3),(8,7),(2,2),(3,9)}\{(0,2),(3,3),(8,7),(2,2),(3,9)\}{(0,2),(3,3),(8,7),(2,2),(3,9)} and determine if it's a function.

Problem 1022

Which option is true about the data sets X={6,8,10,12,14}X = \{6, 8, 10, 12, 14\}X={6,8,10,12,14} and Y={3,4,5,24,7}Y = \{3, 4, 5, 24, 7\}Y={3,4,5,24,7}? A) YYY is skewed. B) XXX has no mode. C) Mean of YYY is 5. D) Both are symmetrical.

Problem 1023

Calculate the average waiting time for processes P1 (12), P2 (4), P3 (8), P4 (2), and P5 (6) using Shortest-Job-First scheduling.

Problem 1024

Problem 1025

Calculate the median of the following rates: € 1.19, € 1.15, € 1.16, € 1.17, € 1.17, € 1.15, € 1.16, € 1.18, € 1.17, € 1.19, € 1.18, € 1.20.

Problem 1026

Find the mode and median of the ages of 21 students: 16 (6), 17 (3), 18 (8), 19 (4) years.

Problem 1027

Find the mode and median of the button counts: 30 (2), 32 (5), 28 (3), 33 (1).

Problem 1028

Problem 1029

Calculate the mean race time for 15 runners with the following times: 10 (4), 11 (5), 12 (3), 14 (2), 15 (1) minutes.

Problem 1030

15 students scored goals: 8 scored 1, 4 scored 2, 2 scored 3, 1 scored 4. Find the mode and median of goals scored.

Problem 1031

Complete the frequency table and find the mean, given Σf=113\Sigma f = 113Σf=113 and Σfx=292\Sigma f x = 292Σfx=292.

Problem 1032

Calculate the average distance walked by the group using the data: 8, 10, 12, 14, 16, 20 miles with respective walkers.

Problem 1033

Complete the frequency table, calculate the mean (292113≈2.6\frac{292}{113} \approx 2.6113292​≈2.6), and find the median.

Problem 1034

Find the mean number of books sold given the frequency data: 0 (2), 1 (4), 2 (3), 3 (6), 4 (3), 5 (2).

Problem 1035

Calculate the mean rate charged for rooms based on the rates: £120 (26), £90 (4), £100 (0), £140 (12), £155 (3).

Problem 1036

Calculate the mean rate charged for rooms occupied that night given the rates: Double £120, Single £90, Superior £100, Double with View £140, King with View £155.

Problem 1037

Complete the table and find the mean number of apples, given frequencies and products: xxx, fff, and fxfxfx.

Problem 1038

Calculate the estimated mean revision time for 120 students given the following time intervals and frequencies: 0<t≤150<t \leq 150<t≤15: 0, 15<t≤3015<t \leq 3015<t≤30: 20, 30<t≤4530<t \leq 4530<t≤45: 50, 45<t≤6045<t \leq 6045<t≤60: 50.

Problem 1039

(a) Fill in the missing values in the frequency distribution table. (b) Find the mean: 292113≈2.6\frac{292}{113} \approx 2.6113292​≈2.6. (c) Determine the median. (d) Create a frequency histogram.

Problem 1040

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

Problem 1041

Find the central tendency measures (mode, median, mean) and compute range, IQR, quartile deviation, and standard deviation for the data: Marks: 0-20 (5), 20-40 (15), 40-60 (30), 60-80 (8), 80-100 (2).

Problem 1042

Find the next term in the sequence: 45, 94, 143, 192.

Problem 1043

Problem 1044

Find AAA given that AB=23CHAB=\frac{2}{3}CHAB=32​CH and AB+CH=30 cmAB+CH=30 \text{ cm}AB+CH=30 cm.

Problem 1045

Problem 1046

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?

\begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-2 & -14 \\ \hline-1 & -9 \\ \hline 0 & -4 \\ \hline 1 & 1 \\ \hline 2 & 6 \\ \hline 3 & 11 \\ \hline \end{tabular}

Find the percentile of 7.1 lbs, calculate $Q_{1}, Q_{2}, Q_{3}$ , create a box plot, and analyze its skewness. Also, find binomial probabilities for 4 and at least 6 out of 7 adults enjoying superhero movies.

Find the linear function $y=f(x)=a x+b$ using points (-1, 5), (1, 9), (3, 13), (5, 17).

Grade 12 Math: Analyze the 2023 North West budget table. Answer questions on budget meaning, highest allocation, and find $X$ , $Y$ , $Z$ .

Identify the domain and range of the set $\{(3,2),(5,7),(1,4),(9,2),(3,7)\}$ and determine if it is a function.

Find the domain and range of the set $\{(1,2),(2,5),(3,1),(1,6),(4,8)\}$ . Is it a function?

Determine the domain and range of the set $\{(6,2),(3,5),(9,0),(5,7),(8,1)\}$ and check if it's a function.

Find the domain and range of the set of points $\{(1,9),(2,7),(5,4),(7,12),(3,9)\}$ .

Find the domain and range of the set $\{(0,2),(3,3),(8,7),(2,2),(3,9)\}$ and determine if it's a function.

Which option is true about the data sets $X = \{6, 8, 10, 12, 14\}$ and $Y = \{3, 4, 5, 24, 7\}$ ? A) $Y$ is skewed. B) $X$ has no mode. C) Mean of $Y$ is 5. D) Both are symmetrical.

Complete the frequency table and find the mean, given $\Sigma f = 113$ and $\Sigma f x = 292$ .

Complete the frequency table, calculate the mean ( $\frac{292}{113} \approx 2.6$ ), and find the median.

Complete the table and find the mean number of apples, given frequencies and products: $x$ , $f$ , and $fx$ .

Calculate the estimated mean revision time for 120 students given the following time intervals and frequencies:
$0<t \leq 15$ : 0, $15<t \leq 30$ : 20, $30<t \leq 45$ : 50, $45<t \leq 60$ : 50.

(a) Fill in the missing values in the frequency distribution table. (b) Find the mean: $\frac{292}{113} \approx 2.6$ . (c) Determine the median. (d) Create a frequency histogram.

Find $A$ given that $AB=\frac{2}{3}CH$ and $AB+CH=30 \text{ cm}$ .

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?

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

In a spreadsheet, A1 contains 3. Cells A2 to A7 have formulas: $2=12+A1$ , $3=12+A2$ , etc. What is the value in A7?

Find the intersection point $(x, y)$ of the two linear equations given their points:
1st: $(-2, 15), (0, 11), (2, 8), (4, 5)$ 2nd: $(-2, 4), (0, 6.5), (2, 8), (4, 9.5)$ .

Complete the table for the function where the output is $4n + 1$ . Find the output for $n = 5$ and beyond.

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

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.

Order the campsites by elevation: 1. $4 \mathrm{~T} / 2 \mathrm{~m}$ , 2. $5.6 \mathrm{~m}$ , 3. $2 \mathrm{3} / 8 \mathrm{~m}$ , 4. $1.35 \mathrm{~m}$ . A. $1,2,3,4$ B. $1,3,4,2$ C. $4,3,2,1$ D. $2,4,3,1$

Order the campsites from lowest to highest elevation: 1) $41/2$ m, 2) $5.6$ m, 3) $23$ m, 4) $1.35$ m. Options: A. $1,2,3,4$ B. $1,3,4,2$ C. $4,3,2,1$ D. $2,4,3,1$

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

Complete the table for half-yearly compounded interest:
Principal: \$40000, Rate: 4\%, Time: 1yr; Principal: \$27500, Rate: 6\%, Time: 2yrs; Principal: \$8000, Rate: 10\%, Time: 1.5yrs. Calculate the amounts.

Determine the signs of the six trigonometric functions for the angle $261^{\circ}$ . Fill in the table.

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

Match quantum numbers to subshells: 1: $n=2, l=0$ 2: $n=3, l=2$ 3: $n=1, l=0$ 4: $n=2, l=1$ 5: $n=4, l=3$ Options: $2p$ , $3d$ , $2s$ , $4f$ , $1s$

Given $m=4$ students, find the normalized feature $x_{2}^{(4)}$ for midterm score $=69$ using $x_{2}=(\text{midterm score})^2$ . Round to two decimal places.