Analyze

Problem 10301

If xx is negative and 2x+1>52|x|+1>5, what must be true about xx?

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Problem 10302

A survey shows that of students living >1 mile, 76%76\% ride a bike. Which conclusion is best?

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Problem 10303

Create a frequency distribution for earthquake magnitudes 2.451,3.617,...2.451, 3.617, ... (0.5 class width, start at 1.0). Is it normal?

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Problem 10304

In QRS\triangle Q R S, if sinR=cosS\sin R=\cos S, what can you conclude about R\angle R and S\angle S?

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Problem 10305

Find the correlation coefficient for the study hours (0, 0, 1, 2, 3, 5, 5, 8) and exam scores (61, 92, 67, 64, 75, 73, 82, 90). Options: -0.5, 0.5, -0.9, 0.9.

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Problem 10306

Maria and John each deposit \$90,000 at 6\% interest. Calculate their interest for 3 years and compare who earns more.

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Problem 10307

Which data type suggests a linear relationship: water level vs. date, workout time vs. strength, books returned vs. date, or dog ages vs. heights?

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Problem 10308

Ann and Jim each deposit \$40,000 at 4% interest. Calculate their annual interest for 3 years and compare who earns more.

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Problem 10309

Ann deposits \$40,000 at 4\% compounded annually, while Jim deposits \$40,000 at 4\% simple interest. Calculate their interest for 3 years and compare.

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Problem 10310

Ann deposits \$40,000 at 4% annual compound interest. Jim deposits \$40,000 at 4% simple interest. Find their interest for 3 years.

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Problem 10311

Identify the different isotope from the following: 1225X,1325X,1125X,1225X,2512X{ }_{12}^{25} X, { }_{13}^{25} X, { }_{11}^{25} X, { }_{12}^{25} X, { }_{25}^{12} X.

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Problem 10312

Find the number of electrons, protons, and neutrons in the isotope 77192Ir^{192}_{77}\mathrm{Ir}.

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Problem 10313

Find the equation of the line through (1,4)(-1,-4) parallel to 3x+y=53x+y=5. Choices: y=3x+1y=3x+1, y=3x+7y=-3x+7, y=3x7y=-3x-7, y=3x1y=3x-1.

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Problem 10314

Ann invests \$40,000 at 4% compounded annually. Jim invests \$40,000 at 4% simple interest. Calculate their interest for 3 years and compare.

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Problem 10315

Record the truck's mileage at various times. Identify independent (time) and dependent (mileage) variables.

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Problem 10316

Graph the reflection of the point T(10,2)T(10,-2) over the xx-axis.

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Problem 10317

Find the mass of Copper in Sample 2 (1.550 g) using the composition of Sample 1 (2.000 g, 0.9450 g Copper).

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Problem 10318

What shape is formed by two non-collinear rays ABundefined\overrightarrow{A B} and ACundefined\overrightarrow{A C}?

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Problem 10319

Identify the angle measures that can form an acute scalene triangle from these sets: 46,67,6746^{\circ}, 67^{\circ}, 67^{\circ} 46,57,6746^{\circ}, 57^{\circ}, 67^{\circ} 36,57,8736^{\circ}, 57^{\circ}, 87^{\circ} 36,47,9736^{\circ}, 47^{\circ}, 97^{\circ}

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Problem 10320

Sarah spins a four-sided spinner with numbers 0,1,1,30, 1, 1, 3.
(i) What number is most likely to land? (ii) What's the probability of landing on 1 twice? (iii) Given 72916384\frac{729}{16384} for landing on 3 on the nnth spin, find nn.

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Problem 10321

Find the class width and the lower/upper limits of the first class for weights: 110, 120, 130, 140, 150, 160, 170, 180 with frequencies 5, 1, 5, 2, 5, 1, 1.

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Problem 10322

Identify the measures of central tendency: mean, mode, median. Check all that apply from the list provided.

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Problem 10323

Identify values to exclude from the domain of xx24\frac{x}{x^{2}-4}. Options: x=0x=0, x=2x=-2, x=1x=-1, x=2x=2, None.

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Problem 10324

Find the complement of set AA in universe UU: A={}A^{\prime}=\{\square\}, using the roster method.

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Problem 10325

Identify values to exclude from the domain of x2x2+16\frac{x^{2}}{x^{2}+16}. Options: x=5x=5, x=4x=4, x=0x=0, x=4x=-4. Select all that apply.

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Problem 10326

Describe AA^{\prime}: the set of universities without a baseball team. Choose the correct option from A, B, C, or D.

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Problem 10327

Why is a dotplot ineffective for shark attack data? Which graph suits best: dotplot, stemplot, time-series, Pareto, pie, or frequency polygon?

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Problem 10328

Find values to exclude from the domain of x2+7x11x34x\frac{x^{2}+7 x-11}{x^{3}-4 x}. Options: x=2x=2, x=11x=11, x=2x=-2, x=0x=0. Select all that apply.

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Problem 10329

Find the domain of xx for the expression 4x19\frac{4}{x-19}.

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Problem 10330

Can a graph help address issues in a voluntary response sample of weights from an online survey? Choose the correct answer. A. Yes, it can help by using certain graphs to obscure specific values. B. No, all inaccuracies must be removed before graphing. C. No, a bad sample can't be salvaged by graphs. D. Yes, a graph with an accurate description of deficiencies is unbiased.

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Problem 10331

Find the domain of xx in the expression xx+79\frac{x}{x+79}.

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Problem 10332

Create a stem plot for the geyser heights: 65, 34, 50, 90, 80, 50, 40, 70, 50, 65, 78, 59, 59, 64, 61, 60, 71, 70, 44, 86. Find the two middle values after sorting.

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Problem 10333

To find a matching pair of socks from two colors, explain why drawing three socks guarantees a match.

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Problem 10334

Identify if these are statements and if true or false: a) Washington is a state. b) Run past the gym. c) 2x=62x=6 d) 5+5=55+5=5.

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Problem 10335

Find the converse, inverse, and contrapositive of: "If you visit your grandparents, then you can go to the park."

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Problem 10336

If a statement and its converse are true, which forms (inverse, contrapositive) are also true? A, B, C, or D?

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Problem 10337

Solve the compound inequality: x5x \leq 5 or x11x \leq 11. Provide the solution set in interval and graph forms.

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Problem 10338

Determine if sets A={5,5,5,7,7,9,9,9}A=\{5,5,5,7,7,9,9,9\} and B={9,7,5}B=\{9,7,5\} are equivalent and equal. Explain your answers.

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Problem 10339

Which sets can be matched one-to-one: a) {1,2,3,4,5}\{1,2,3,4,5\} and {m,n,0,b,s}\{m,n,0,b,s\}, b) {a,b,c,,f}\{a,b,c,\ldots,f\} and {2,4,6,,10}\{2,4,6,\ldots,10\}, c) letters in "jar" and {1,2,3,4}\{1,2,3,4\}?

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Problem 10340

Determine if \subseteq, \subset, both, or neither fits in the blank for {10,18,16}_{10,18,16,13}\{10,18,16\} \_\{10,18,16,13\}. Choose the correct answer: only CC, only \subseteq, both &\subseteq \& \subset, or none.

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Problem 10341

Analyze women's median earnings as a % of men's from 1989-2005. Discuss trends and create a time-series graph.

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Problem 10342

Is {4,7}\{4,7\} a proper subset of {1,4,5}\{1,4,5\}? Choose the correct option: A, B, C, D, E, or F.

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Problem 10343

If ABA \subseteq B and BCB \subseteq C, is ACA \subseteq C? Choose the correct response: B. Not necessarily true.

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Problem 10344

Compare 2×3-2 \times 3 with 0 using <<, >>, or ==.

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Problem 10345

Why is the correlation coefficient rr called linear? Choose the correct answer: A, B, C, or D.

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Problem 10346

Does a linear correlation between carbon dioxide concentration and global temperature imply causation? Choose A or B.

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Problem 10347

What can Justin expect from his stock investment? A. no loss B. small interest C. high growth & dividends D. 5-year maturity

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Problem 10348

If A={a,b,c}A=\{a, b, c\} and B={b,c,d}B=\{b, c, d\}, why is AB{a,b,c,b,c,d}A \cup B \neq \{a, b, c, b, c, d\}? Choose the correct answer:
A. AB={a,b,c,d}A \cup B=\{a, b, c, d\}; elements aren't repeated in sets. B. AB={b,c}A \cup B=\{b, c\}. C. AB=A \cup B=\varnothing. D. The union has fewer elements than either set.

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Problem 10349

Find the lower and upper class limits, class width, midpoints, boundaries, and total individuals for ages 25-59.

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Problem 10350

Identify the first term in 6a+66a + 6. Is it a variable or constant term? If variable, state the coefficient.

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Problem 10351

Combine the intervals (,9)(-\infty, 9) and (,12)(-\infty, 12) into one interval. What is the result in interval notation?

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Problem 10352

Find the class midpoint for these age groups: 25-29, 30-34, 35-39, 40-44, 45-49, 50-54, 55-59.

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Problem 10353

Calculate and compare interest for Laura's compound and Eric's simple interest on \$70,000 at 3\% for 3 years.

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Problem 10354

Laura deposits \$70,000 at 3% annual compound interest, while Eric uses simple interest. Calculate their interest for 3 years and compare.

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Problem 10355

Find the class boundaries for the age groups: 25-29, 30-34, 35-39, 40-44, 45-49, 50-54, 55-59.

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Problem 10356

Find the class boundaries for these age groups: 252925-29, 303430-34, 353935-39, 404440-44, 454945-49, 505450-54, 555955-59.

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Problem 10357

A school district tests a new reading curriculum in 3 classrooms. Given post-test scores: 19, 13, 16, 18, 15, 14, 17, 8, 20, 19, 22, 11, find sample size nn, total sum ΣX\Sigma X, and mean MM. Then convert scores to a 100-point scale (multiply by 4) and recalculate nn, ΣX\Sigma X, and MM.

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Problem 10358

Determine the range of the function f(x)=3x+2f(x)=3x+2 for the domain {0,2,4,6}\{0,2,4,6\}.

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Problem 10359

Determine the range of the function g(x)=x2g(x) = x^{2} for the domain 2x2-2 \leq x \leq 2.

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Problem 10360

Complete the table for 5 scores with mean M=5M=5 and n=6n=6 scores. Find distances from the mean for x=1,6,7,7,8x=1, 6, 7, 7, 8.

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Problem 10361

Find the composite functions for: a) f(x)=3x+2f(x)=3x+2, b) g(h(x))g(h(x)), c) h(g(f(x)))h(g(f(x))).

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Problem 10362

Determine if statements are True or False. Answer examples: 2.1.1 True. Also, categorize ratios/rates and explain.

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Problem 10363

Is the expression 144-\sqrt{144} a real number? If yes, evaluate it.

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Problem 10364

Find the inverse function f1(x)f^{-1}(x) and its domain and range for f(x)=x+4f(x)=\sqrt{x}+4.

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Problem 10365

Find xx such that y=5x+4y=5x+4 is within 0.003 of 7. What values of xx satisfy this?

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Problem 10366

Determine the winner using instant runoff voting based on these employee lunch preferences: 8 Tacos, 6 Pizza, 3 Sandwiches.

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Problem 10367

Find the probability that a 4-digit even number formed from 0,1,2,3,4,50,1,2,3,4,5 is a multiple of 4, with repeated digits allowed.

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Problem 10368

How many first-place votes are needed to win using the instant runoff method based on these survey results?

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Problem 10369

How many points do tacos get using the Borda count method based on the following votes: 8 for tacos, 6 for pizza, 3 for sandwiches, 3 for pizza?

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Problem 10370

f(x)=x2(1+7x)2f(x)=\frac{x^{2}}{(1+7 x)^{2}} f(x)=n=0(7(n+1)(7)n)f(x)=x2+14x3+147x4+1372x5+12005x6+\begin{array}{l} f(x)=\sum_{n=0}^{\infty}\left(7(n+1)(-7)^{n}\right) \\ f(x)=x^{2}+-14 x^{3}+147 x^{4}+-1372 x^{5}+12005 x^{6}+\cdots \end{array}
The open interval of convergence is: (17,17)\left(-\frac{1}{7}, \frac{1}{7}\right) (Give your answer in interval notation.)
Note: You can earn partial credit on this problem.
Preview My Answers Submit Answers You have attempted this problem 14 times.

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Problem 10371

Owl uwo email Calculus Textbook Bio Mindtap 1001 Textbook He... Achieve Chemistry Module Health Sci 1001A... 11A Midterm Exam Oct2024.pdf 12 / 16 118\% October 2024 Biology 1001A Midterm Exam Page 12 of 16
30. Cell growth and cell replication are essential for the development of multicellular organisms. The surface area to volume ratio (SA/V) is related to cell growth and replication. Imagine a cell that has just completed cytokinesis at time 0 . It then continues to grow from timeline 0-200 mins after which it enters the mitotic phase of the cell cycle. At time 300 mins , it undergoes cytokinesis again.

Which of the following graphs depict the change in the SA/V ratio of the cell from time 0-300 mins?
C A. A B. B C. C D. D

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Problem 10372

What are the energy requirements for ages 4-8 for boys and girls? Boys-1,200-2,000 calories /Girls-1,2001,800 Boys-1,200-1,800 calories /Girls-1,2002,000 Boys-2000-2,500 calories/Girls-1,2001,800 Boys-1,500-2,500 calories /Girls-1,8002,000

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Problem 10373

(a) Determine if the upper bound theorem identifies 5 as an upper bound for the real zeros of f(x)f(x). (b) Determine if the lower bound theorem identifies -5 as a lower bound for the real zeros of f(x)f(x). f(x)=x4+14x3+x2+4x+39f(x)=x^{4}+14 x^{3}+x^{2}+4 x+39

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Problem 10374

\begin{align*} &\text{Given the function:} \\ &y = 3 \sin 2(x-1) + 3 \end{align*} Why is its ending point between 2π and 5π2? What is that value and how were we supposed to know it ends there?\text{Why is its ending point between } 2\pi \text{ and } \frac{5\pi}{2}? \text{ What is that value and how were we supposed to know it ends there?}

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Problem 10375

5 Which of the following functions is not a linear function? (a) y=23x+112y=-\frac{2}{3} x+\frac{11}{2} (b) y=34x7y=\frac{3-4 x}{7} c. y=734xy=\frac{7}{3-4 x} d y=3xy=3-x

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Problem 10376

Identify the degree of the terms and the degree of the polynomial. 8a3b2a7+6b868 a^{3} b-2 a^{7}+6 b^{8}-6
What is the degree of the first term, 8a3b8 a^{3} b ? \square

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Problem 10377

Identify the degree of the terms and the degree of the polynomial. 8a3b2a7+6b868 a^{3} b-2 a^{7}+6 b^{8}-6
What is the degree of the first term, 8a3b8 a^{3} b ? 4 What is the degree of the second term, 2a7-2 a^{7} ? 7 What is the degree of the third term, 6 b86 \mathrm{~b}^{8} ? 8 What is the degree of the fourth term, -6 ?

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Problem 10378

Find the maximum rate of change of ff at the given point and the direction in which it occurs. f(x,y)=sin(xy),(9,0)f(x, y)=\sin (x y), \quad(9,0)
Step 1 Recall that the direction in which the maximum rate of change of f(x,y)f(x, y) occurs at a point (a,b)(a, b) is given by the vector f(a,b)\nabla f(a, b). For f(x,y)=sin(xy)f(x, y)=\sin (x y), we have f(x,y)=\nabla f(x, y)=\square

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Problem 10380

For the demand equation p=14004qp=1400-4 q, verify that demand is elastic and total revenue is increasing for 0<q<1750<q<175. Verify that demand is inelastic and total revenue is decreasing for 175<q<350175<q<350.
Begin by finding η\eta in terms of qq. The formula for η\eta is η=pqdqdp\eta=\frac{p}{q} \cdot \frac{d q}{d p}. Since p=14004q,dqdp=p=1400-4 q, \frac{d q}{d p}= \square (Simplify your answer.)

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Problem 10381

\begin{enumerate} \item Randomly select a sample of 30 from the class survey dataset (include your sample data with your response). \item Compute the mean and standard deviation for the sample. \item Determine the distribution shape of your sample (include the graphical display in your response). \item Using the 95%95\% confidence level, construct the confidence interval to estimate the mean of the population. \item Based on the confidence interval you've constructed, what is the Margin of Error of your estimate? \item How large of a sample would you need for the margin of error to be reduced to half its original value? \item Using the entire dataset, compute the mean for the population. \item How does the point estimate based on your sample data compare to the mean of the population? \end{enumerate}
The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.
Dialogue Transcript:
\begin{quote} Assistant: Hi there! It looks like you're working on some statistical analysis involving a class survey dataset. I can certainly help guide you through the process, but I'll need some more information to assist you properly.
Could you provide the following details?
\begin{enumerate} \item The data or a description of the variable(s) you're analyzing. \item If possible, the entire dataset or specifics about how the data was collected. \end{enumerate}
Once I have this information, I can help you with the calculations and concepts, such as the sample mean, standard deviation, confidence intervals, and more.
Looking forward to your response so we can get started! \end{quote}
\begin{quote} User: Work Hours
Frequency 42 [0,10) \\ Frequency 20 [10,20) \\ Frequency 35 [20,30) \\ Frequency 52 [30,40) \\ Frequency 51 [40,50) \\ Frequency 7 [50,60) \\ Frequency 7 [60,70) \\ Frequency 1 [70,80) \\ Frequency 2 [80,90) \\ Frequency 1 [90,100)
Can you randomly select a sample of 30 from the class survey data? Please answer every question 1-8. \end{quote} Based on the extracted text and the dialogue transcript, please rewrite the math problem that the Assistant is helping the user to solve. Rewrite it in LaTeX. Do not omit any portion of the original problem. When you have finished writing the problem, type the special keyword:

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Problem 10382

\begin{enumerate} \item Randomly select a sample of 30 from the class survey dataset (include your sample data with your response). \item Compute the mean and standard deviation for the sample. \item Determine the distribution shape of your sample (include the graphical display in your response). \item Using the 95%95\% confidence level, construct the confidence interval to estimate the mean of the population. \item Based on the confidence interval you've constructed, what is the Margin of Error of your estimate? \item How large of a sample would you need for the margin of error to be reduced to half its original value? \item Using the entire dataset, compute the mean for the population. \item How does the point estimate based on your sample data compare to the mean of the population? \end{enumerate}
\textbf{Frequency Distribution of Work Hours:}
\begin{itemize} \item Frequency 42: [0,10) \item Frequency 20: [10,20) \item Frequency 35: [20,30) \item Frequency 52: [30,40) \item Frequency 51: [40,50) \item Frequency 7: [50,60) \item Frequency 7: [60,70) \item Frequency 1: [70,80) \item Frequency 2: [80,90) \item Frequency 1: [90,100) \end{itemize}

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Problem 10383

b. Explain the meaning of the coordinates of the vertex for this model. Choose the correct explanation belo A. The ball reaches its maximum speed of 44.4 meters per second in 3 seconds. B. The ball reaches its maximum height of 49.6 meters in 2 seconds. C. The ball reaches its maximum height of 2 meters in 49.6 seconds. D. The ball hits the ground after 3 seconds at a speed of 44.4 meters per second.

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Problem 10384

Note: You have unlimited attempts on this question and it will not re-random a new version. This question is also worth 10 marks.
Please answer the following questions about the function f(x)=3x2x216f(x)=\frac{3 x^{2}}{x^{2}-16}
Instructions: - If you are asked for a function, enter a function. - If you are asked to find xx - or yy-values, enter either a number or a list of numbers separated by commas. If there are no solutions, enter None. - If you are asked to find intervals of increase/decrease/concavity, please separate the lists with commas and NOT the union symbol. - For the domain and range, use interval notation and NOT commas. - If you are asked to find a limit, enter DNE if the limit does not exist. (a) Calculate the first derivative of ff. Find the critical numbers of ff, where it is increasing and decreasing, and its local extrema. f(x)=96x(x216)2f^{\prime}(x)=\frac{-96 x}{\left(x^{2}-16\right)^{2}}
Critical numbers x=x= \square List of the intervals where f(x)f(x) is increasing (separated by commas and NOT the union symbol) (,4),(4,0)(-\infty,-4),(-4,0) List of the intervals where f(x)f(x) is decreasing (separated by commas and NOT the union symbol) (0,4),(4,)(0,4),(4, \infty) Local maxima x=x= \square Local minima x=x= \square (b) Find the following left- and right-hand limits at the vertical asymptote x=4x=-4. limx43x2x216=+ infinity limx4+3x2x216= infinity \lim _{x \rightarrow-4^{-}} \frac{3 x^{2}}{x^{2}-16}=+ \text { infinity } \leqslant \quad \lim _{x \rightarrow-4^{+}} \frac{3 x^{2}}{x^{2}-16}=- \text { infinity }
Find the following left- and right-hand limits at the vertical asymptote x=4x=4. limx43x2x216= Infinity limx4+3x2x216=+ infinity \lim _{x \rightarrow 4^{-}} \frac{3 x^{2}}{x^{2}-16}=- \text { Infinity } \rightarrow \quad \lim _{x \rightarrow 4^{+}} \frac{3 x^{2}}{x^{2}-16}=+ \text { infinity } \leqslant
Find the following limits at infinity to determine any horizontal asymptotes. limx3x2x216=3\lim _{x \rightarrow-\infty} \frac{3 x^{2}}{x^{2}-16}=3 (c) Calculate the second derivative of ff. Find where ff is concave up, concave down, and has inflection points. f(x)=96(3x2+16)(x216)3f^{\prime \prime}(x)=\frac{96\left(3 x^{2}+16\right)}{\left(x^{2}-16\right)^{3}}
List of the intervals where f(x)f(x) is concave up (separated by commas and NOT the union symbol) (,4),(4,)(-\infty,-4),(4, \infty) List of the intervals where f(x)f(x) is concave down (separated by commas and NOT the union symbol) (4,4)(-4,4) Inflection points x=x= None (d) The function ff is even \leqslant because f(x)=f(x)yf(-x)=f(x) \quad y for all xx in the domain of ff, and therefore its graph is symmetric about the yy-axis (e) Answer the following questions about the function ff and its graph.
The domain of ff is the set (in interval notation and NOT using commas) (,4)(4,4)(4,)(-\infty,-4) \cup(-4,4) \cup(4, \infty) The range of ff is the set (in interval notation and NOT using commas) 1 yy-intercept 0 xx-intercepts 0

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Problem 10385

6 . Дослідити функцію z=4xy\mathrm{z}=4 \mathrm{xy} на екстремум при заданій умові 4x2+9y2=364 x^{2}+9 y^{2}=36.

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Problem 10386

Explain the difference between an absolute minimum and a local minimum. A function ff has an absolute minimum at x=cx=c if f(c)f(c) is the smallest function value on the entire domain of ff, whereas ff has a local m\mathbf{m} There is no difference. A function ff has an absolute minimum at x=cx=c if f(c)f(c) is the largest function value on the entire domain of ff, whereas ff has a local min A function ff has an absolute minimum at x=cx=c if f(c)f(c) is the smallest function value when xx is near cc, whereas ff has a local minimum A function ff has an absolute minimum at x=cx=c if f(cf(c is the largest function value when xx is near cc, whereas ff has a local minimum at

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Problem 10387

Sketch the graph of ff and use your sketch to find the absolute and local maximum and minimum values of ff. (Enter your answers as a comma-separate f(x)=ln(3x),0<x5f(x)=\ln (3 x), \quad 0<x \leq 5 absolute maximum value \square absolute minimum value \square local maximum value(s) \square local minimum value(s) \square

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Problem 10388

7. Find the interval where the graph of f(x)=2x4x2+1f(x)=\frac{2 x}{4 x^{2}+1} is decreasing and increasing. Hence, determine the extremum points if exist.

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Problem 10389

Find any relative extrema of the function. (Round your ar f(x)=arctan(x)arctan(x9)f(x)=\arctan (x)-\arctan (x-9) relative maximum (x,y)=(4.5,2.702x)(x, y)=(4.5,2.702 x)

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Problem 10390

The function x2x2\frac{|x-2|}{x-2} has jump discontinuity at x=2x=2. Select one: True False IVR_TEAM

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Problem 10391

www-awa.aleks.com Descriptive Statistics Interpreting a bar graph 0/50 / 5
A hardware company has sales agents in 4 states. The number of agents in each state is shown in the bar graph below. Using this bar grap answer the questions. (a) Which state has the most sales agents? Illinois Arizona Indiana Missouri
How many sales agents does that state have?

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Problem 10392

42. Find the domain of each function: (A) f(x)=2x5x2x6f(x)=\frac{2 x-5}{x^{2}-x-6} (B) g(x)=3x5xg(x)=\frac{3 x}{\sqrt{5-x}}
In Problems 57-59, find the equation of any horizontal asymptote.
57. f(x)=5x+4x23x+1f(x)=\frac{5 x+4}{x^{2}-3 x+1}
58. f(x)=3x2+2x14x25x+3f(x)=\frac{3 x^{2}+2 x-1}{4 x^{2}-5 x+3}
53. Explain how the graph of m(x)=x4m(x)=-|x-4| is related to the graph of y=xy=|x|.
54. Explain how the graph of g(x)=0.3x3+3g(x)=0.3 x^{3}+3 is related to the graph of y=x3y=x^{3}.
19. Complete the square and find the standard form for the quadratic function f(x)=x2+4xf(x)=-x^{2}+4 x

Then write a brief verbal description of the relationship between the graph of ff and the graph of y=x2y=x^{2}.

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Problem 10393

F24 HW9 70\% mathmatize.com
Question \#6: No response Score: --
The following table gives values of the differentiable function y=f(x)y=f(x). \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hlinexx & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hlineyy & 3 & 5 & 4 & -2 & 1 & 2 & 1 & -2 & -3 & -4 & -7 \\ \hline \end{tabular}
Estimate the xx-values of critical points of f(x)f(x) on the interval 0<x<100<x<10. Classify each critical point as a local maximum, local minimum, or neither.
Critical points (in ascending order) and its classifications are as follows: (1) the critical point is at x=x= \square and it is \square (2) the critical point is at x=x= \square and it is \square (3) the critical point is at x=x= \square and it is \square Now assume that the table gives values of the continuous function y=f(x)y=f^{\prime}(x) (instead of f(x)f(x) ). Estimate and classify critical points of the function f(x)f(x).
Critical points (in ascending order) and its classifications are as follows: (1) the critical point is at x=x= \square and it is \square (2) the critical point is at x=x= \square and it is \square (3) the critical point is at x=x= \square and it is \square

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Problem 10394

On considère la fonction numérique ff définie sur R+\mathbb{R}^{+}par : f(x)=x(x2)2f(x)=x(\sqrt{x}-2)^{2}
Et soit (Cf)\left(C_{f}\right) sa courbe représentative dans un repère orthonormé (O;i;j)(O ; \vec{i} ; \vec{j}) 1) Calculer : limx+f(x) et limx+f(x)x\lim _{x \rightarrow+\infty} f(x) \text { et } \lim _{x \rightarrow+\infty} \frac{f(x)}{x}
Que peut-on déduire ? 2)Etudier la dérivabilité de la fonction ff à droite en 0 puis interpréter le résultat obtenu. 3) a-Montrer que pour tout x]0;+[x \in] 0 ;+\infty[ : f(x)=2(x1)(x2)f^{\prime}(x)=2(\sqrt{x}-1)(\sqrt{x}-2) b-Etudier le signe de f(x)f^{\prime}(x) puis dresser le tableau de variations de la fonction ff. 4) Etudier la concavité de la courbe ( CfC_{f} ) et Montrer que (Cf)\left(C_{f}\right) Admet un unique point d'inflexion I auquel on déterminera ses coordonnées. 5) Résoudre dans R+\mathbb{R}^{+}l'équation f(x)=xf(x)=x et interpréter le résultat graphiquement. 6) Tracer la courbe (cf)\left(c_{f}\right) dans le repère ( (i;i;j)(i ; \vec{i} ; \vec{j}). 7) Soit gg la restriction de la fonction ff sur I=[4;+[\boldsymbol{I}=[\mathbf{4} ;+\infty[. a-Montrer que gg admet une fonction réciproque g1g^{-1} définie sur un intervalle JJ à déterminer. b-Dresser le tableau de variations de la fonction g1g^{-1}. c-Calculer g(9)g(9) puis déterminer (g1)(9)\left(g^{-1}\right)^{\prime}(9) d -Montrer que pour tout xJx \in J : g1(x)=(1+x+1)2g^{-1}(x)=(\sqrt{1+\sqrt{x}}+1)^{2} 8) Tracer la courbe (Cg1)\left(C_{g^{-1}}\right) dans le repère (O;i;ȷ)(O ; \vec{i} ; \vec{\jmath}).

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Problem 10395

Fish weights: A fish hatchery raises trout to stock streams and lakes. The weights, in ounces, of a sample of 18 trout at their time of release are as follows. \begin{tabular}{rrrrrrrrr} 9.7 & 11.4 & 11.5 & 9.0 & 10.1 & 8.1 & 8.5 & 9.7 & 10.4 \\ 8.3 & 7.7 & 10.4 & 8.2 & 9.6 & 9.9 & 8.3 & 9.1 & 9.4 \end{tabular} Send data to Excel
Part: 0/20 / 2
Part 1 of 2
Construct a normal quantile plot for this sample.

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Problem 10396

The equation x2+(m3)x+m=0x^{2}+(m-3) x+m=0 has two real and distinct roots. Determine the range of values for mm.

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Problem 10397

Arrange in order the steps required to obtain a systematic random sample. (i) Instructions
Divide the population size by the sample size and round down, calling the result kk.
Select every kk th population unit thereafter.
Randomly select one of the first kk population units as the starting point.

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Problem 10398

Exi : 1) Etudier la dérivabilité en x0x_{0} des fonctione sulvantes : f(x)=x3x2+3,x0=1;g(x)=x;x0=1f(x)=\frac{x-3}{x^{2}+3}, x_{0}=1 ; g(x)=\sqrt{x} ; x_{0}=1

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Problem 10399

Gjejme¨ shume¨ kuadratike brenda grupeve pe¨r te¨ dhe¨nat e me¨poshtme:\text{Gjejmë shumë kuadratike brenda grupeve për të dhënat e mëposhtme:}
\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|} \hline & \multicolumn{1}{|c|}{\text{Kafsha e laboratorit}} \\ \cline{2-10} \text{Anestezia} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline \text{A} & 0.28 & 0.50 & 0.68 & 0.27 & 0.31 & 0.99 & 0.26 & 0.35 & 0.38 & 0.34 \\ \hline \text{B} & 0.20 & 0.38 & 0.50 & 0.29 & 0.38 & 0.62 & 0.42 & 0.87 & 0.37 & 0.43 \\ \hline \text{C} & 1.23 & 1.34 & 0.55 & 1.06 & 0.48 & 0.68 & 1.12 & 1.52 & 0.27 & 0.35 \\ \hline \end{array}
Pe¨r secilin grup (A, B, C), llogarit shume¨ kuadratike te¨ vlerave.\text{Për secilin grup (A, B, C), llogarit shumë kuadratike të vlerave.}

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Problem 10400

Which set of ordered pairs does not represent a function?
Answer {(1,3),(7,5),(3,5),(2,3)}\{(-1,-3),(-7,-5),(3,5),(-2,-3)\} {(1,2),(0,2),(4,2),(5,1)}\{(-1,-2),(0,2),(-4,-2),(-5,1)\} {(7,4),(1,1),(4,5),(7,5)}\{(7,-4),(1,-1),(4,-5),(7,5)\} {(6,0),(3,0),(1,8),(8,8)}\{(-6,0),(3,0),(-1,-8),(-8,8)\} Submit Answer

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