Set

Problem 2701

List the oxides MgO,BeO,CaO\mathrm{MgO}, \mathrm{BeO}, \mathrm{CaO} in order of increasing moles from a 1 g sample.

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Problem 2702

Order the numbers from least to greatest: 136,2.1,2613,94-\frac{13}{6}, -2.1, -\frac{26}{13}, -\frac{9}{4}.

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Problem 2703

Find the probability of rolling an even number or a number less than 5 on a six-sided die.

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Problem 2704

Compare egg consumption to population size in Republica (42M) and U.S. (332M). Is it proportional? Show work and explain.

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Problem 2706

1a. Are egg consumption and population size proportional in Republica and the U.S.? Show calculations and state your conclusion. 1b. If proportional, how many eggs would 86 million people consume? If not, explain which country prefers eggs more.

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Problem 2707

Find the first quartile Q1\mathrm{Q}_{1} for the given airport data speeds (Mbps). Answer: Q1=\mathrm{Q}_{1}=\square Mbps.

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Problem 2708

Compare the populations of Republica and the U.S. in terms of differences and percentages. Show calculations and conclusions.
2a. U.S. population - Republica population = ?
2b. Percentage increase = (U.S.Republica)Republica×100\frac{(U.S. - Republica)}{Republica} \times 100.
2c. Ratio = RepublicaU.S.\frac{Republica}{U.S.}.
2d. Percentage = RepublicaU.S.×100\frac{Republica}{U.S.} \times 100.

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Problem 2709

Identify the ionic compounds from the list: NH3\mathrm{NH}_{3}, SrO\mathrm{SrO}, CO2\mathrm{CO}_{2}, NH4Cl\mathrm{NH}_{4} \mathrm{Cl}, BrCl\mathrm{BrCl}, NaBr\mathrm{NaBr}.

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Problem 2710

Create a boxplot and find the 5-number summary for these ratings: 2.0, 2.0, 2.5, 2.5, 3.0, 3.0, 3.5, 3.5, 3.5, 3.5, 3.5, 4.0, 4.5, 5.0, 5.0, 5.0, 6.0, 6.5, 6.5, 7.5.

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Problem 2711

Select tables that show yy as a one-to-one function of xx.

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Problem 2712

Find the domain and range of the relation {(c,5),(e,5),(m,5),(k,5)}\{(c, 5),(e, 5),(m, 5),(k, 5)\} and state if it's a function.

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Problem 2713

Calculate cattle density (cattle/sq mile) for the US (41.3 million3.797 million sq miles\frac{41.3 \text{ million}}{3.797 \text{ million sq miles}}) and Republica (14.4 million0.925 million sq miles\frac{14.4 \text{ million}}{0.925 \text{ million sq miles}}). Compare densities with sentences and calculations.

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Problem 2714

Shane's bowling scores are 147, 134, 132, 157, 123, 215, and 140. Calculate the mean and median. Which is better?

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Problem 2715

Find the upper quartile of energy used (in kJ) for 15 activities listed in a table.

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Problem 2716

Graph the real numbers on a number line for the set {x1<x1}\{x \mid -1 < x \leq 1\}. Select the correct graph.

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Problem 2717

Suspension Bridges The lengths (in feet) of the main span of the longest suspension bridges in the United States and the rest of the world are shown below. Which set of data is more variable? \begin{tabular}{cllllllll} United States & 4205 & 4200 & 3800 & 3500 & 3478 & 2800 & 2800 & 2310 \\ World & 6570 & 5538 & 5328 & 4888 & 4626 & 4544 & 4518 & 3970 \end{tabular}
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Part: 0 / 2
Part 1 of 2

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Problem 2718

Лемма 3.1.20. Пересечение любого семейства замкнутых множеств замкнуто, а объединение конечного числа замкнутых замкнуто.
Доказательство. Пусть {Fα}αA\left\{F_{\alpha}\right\}_{\alpha \in A} - какое-то семейство замкнутых множеств, тогда, согласно определению 3.1 .17 , имеется семейство открытых множеств {α}αA\left\{थ_{\alpha}\right\}_{\alpha \in A}, что Fα=R\UαF_{\alpha}=\mathbb{R} \backslash U_{\alpha} для любого αA\alpha \in A.
Согласно (1.0.1), (1.0.1) получаем i=1nFi=i=1nR\ui=R\i=1nuiαAFα=αAR\uα=R\αAuα\begin{array}{l} \bigcup_{i=1}^{n} F_{i}=\bigcup_{i=1}^{n} \mathbb{R} \backslash u_{i}=\mathbb{R} \backslash \bigcap_{i=1}^{n} u_{i} \\ \bigcap_{\alpha \in A} F_{\alpha}=\bigcap_{\alpha \in A} \mathbb{R} \backslash u_{\alpha}=\mathbb{R} \backslash \bigcup_{\alpha \in A} u_{\alpha} \end{array}
но согласно 8.3.5, множества i=1nUi,αAUα\cap_{i=1}^{n} \mathcal{U}_{i}, \cup_{\alpha \in A} \mathcal{U}_{\alpha} - открыты, что и завершает доказательство. !. Объединение бесконечного числа замкнутых, вообще говоря, не замкнуто. Более того, такое - объединение может быть открытым множеством. Например, n=1[1n,11n]=(0,1)\cup_{n=1}^{\infty}\left[\frac{1}{n}, 1-\frac{1}{n}\right]=(0,1).

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Problem 2719

A sample of 19 particlpants took part in a hearing experiment. Among other things, the absolute hearing threshold (in declbelg) was measured for cach participant. The 19 measurements were as follows: 25,22,18,35,37,34,31,27,24,21,18,39,36,23,23,20,20,20,1725,22,18,35,37,34,31,27,24,21,18,39,36,23,23,20,20,20,17
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Draw the histogram for these data using an initilal class boundary of 16.5 and a class with of 5 . Note that you can add or remove classes from the figure. Label cach class with its endpoints.

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Problem 2720

Лемма 3.1.28. Множество F замкнуто, если и только если все его точки - это точки прикосновения, т.е. F=FˉF=\bar{F}.
Доказательство. (1) Пусть FF - замкнуто, тогда найдётся какое-то открытое UR\mathcal{U} \subseteq \mathbb{R} такое, что F=R\UF=\mathbb{R} \backslash \mathcal{U}. Пусть xFx \notin F, тогда xUx \in \mathcal{U}, и тогда найдётся окрестность U(x)\mathcal{U}(x) такая, что U(x)U\mathscr{U}(x) \subseteq \mathcal{U}, потому что U\mathcal{U} - открыто, т.е. U(x)F=\mathcal{U}(x) \cap F=\varnothing. Таким образом, получили, что если FF - замкнуто, то никакая точка xFx \notin F не может быть точкой прикосновения для FF, m.e. F=FˉF=\bar{F}. (2) Пусть F=FˉF=\bar{F}, тогда если xFx \notin F, то xx не может быть точкой прикосновения для FF, а это значит, что можно найти окрестность U(x)\mathcal{U}(x) такую, что U(x)F=\mathcal{U}(x) \cap F=\varnothing, иначе xx было бы 54
точкой прикосновения. Итак, для любого xFx \notin F, мы имеем окрестность U(x)\mathcal{U}(x) такую, что U(x)F=\mathcal{U}(x) \cap F=\varnothing. Рассмотрим теперь объединения всех таких окрестностей, U:=xR\FU(x),\mathcal{U}:=\bigcup_{x \in \mathbb{R} \backslash F} \mathcal{U}(x),
так как каждое U(x)\mathscr{U}(x) открыто, то согласно лемме 8.3.5, U\mathcal{U} - открыто.

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Problem 2721

Предложение 3.2.5. Множество F замкнуто в А тогда и только тогда, когда существует такое замкнутое Fundefined\widetilde{F} в R\mathbb{R} множество, что F=AFundefinedF=A \cap \widetilde{F}.
Доказательство. Нам понадобится равенство B(R\C)=B\(BC),B \cap(\mathbb{R} \backslash C)=B \backslash(B \cap C),
которое верно для любых подмножеств B,CRB, C \subseteq \mathbb{R}. Действительно, если xB(R\C)x \in B \cap(\mathbb{R} \backslash C), то xBx \in B и xR\Cx \in \mathbb{R} \backslash C, m.e. xCx \notin C, а это значит, что xB\(BC)x \in B \backslash(B \cap C). Наоборот, если xB\(BC)x \in B \backslash(B \cap C), то xBx \in B, но xBCx \notin B \cap C, m.е. xCx \notin C, а это значи, что xR\Cx \in \mathbb{R} \backslash C. (1) Пусть FF - замкнуто в AA, тогда (см. Определение 3.2.3), A\FA \backslash F - открыто в AA, а тогда, согласно теореме 3.2.2, существует такое открытое в R\mathbb{R} множество U\mathcal{U}, что A\F=AUA \backslash F=A \cap U. Пусть Fundefined:=R\U\widetilde{F}:=\mathbb{R} \backslash \mathcal{U}, тогда, согласно определению 3.1.17, Fundefined\widetilde{F} - замкнуто в R\mathbb{R}, а согласно (3.2.1), имеем AFundefined=A(R\U)=A\(AU)=A\(A\F)=F,A \cap \widetilde{F}=A \cap(\mathbb{R} \backslash \mathcal{U})=A \backslash(A \cap U)=A \backslash(A \backslash F)=F,
что и требовалось доказать. (2) Пусть теперь Fundefined\widetilde{F} - замкнутое множество в R\mathbb{R}, покажем, что FundefinedA\widetilde{F} \cap A - замкнуто в AA. Согласно определению 3.1.17, найдётся такое открытое в R\mathbb{R} множество U\mathcal{U}, что Fundefined=R\ , \widetilde{F}=\mathbb{R} \backslash \mathcal{\text { , }} тогда, воспользовавшись равенством (3.2.1), имеем AFundefined=A(R\U)=A\(AU),A \cap \widetilde{F}=A \cap(\mathbb{R} \backslash U)=A \backslash(A \cap U),
но согласно теореме 3.2.2, множество AUA \cap U - открыто в AA, а тогда, согласно определению 3.2.3, множество A\(A)A \backslash(A \cap थ) - замкнуто в AA. Тем самым предложение полностью доказано.

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Problem 2722

Теорема 3.2.11. Пусть КRК \subseteq \mathbb{R} - непустое множество, тогда следующие условия равносильны; (1) для любого открытого покрытия для К можно всегда найти конечное подпокрытие для KK, (2) для любого открытого в К покрытия для К можно всегда найти конечное подпокрытие для К.
Доказательство. (1)(2)(1) \Rightarrow(2). Пусть KK - компактно, это значит, что для любого покрытия {Uundefinedα}αA\left\{\widetilde{U}_{\alpha}\right\}_{\alpha \in A} множества KK открытыми множествами в R\mathbb{R} можно всегда найти конечное подпокрытие, скажем, Ki=1nUundefinediK \subseteq \cup_{i=1}^{n} \widetilde{U}_{i}, но тогда K=Ki=1nuundefinedi=i=1nuiK=K \cap \bigcup_{i=1}^{n} \widetilde{u}_{i}=\bigcup_{i=1}^{n} u_{i} 57
но, согласно определению 3.2 .1 , каждое Uα:=UundefinedαK\mathscr{U}_{\alpha}:=\widetilde{U}_{\alpha} \cap K - открыто в KK, т.е. из (1) получаем (2). (1) (2)\Leftarrow(2). Пусть {Uα}αA\left\{\mathscr{U}_{\alpha}\right\}_{\alpha \in A}- покрытие KK, т.е. K=UαAUαK=U_{\alpha \in A} \mathscr{U}_{\alpha}, где все UαK\mathscr{U}_{\alpha} \subseteq K открыты в KK, но тогда (см. Теорему 3.2 .2 ) для каждого αA\alpha \in A существует открытое множество Uundefinedα\widetilde{U}_{\alpha} в R\mathbb{R} такое, что Uα=UundefinedαK\mathcal{U}_{\alpha}=\widetilde{\mathscr{U}}_{\alpha} \cap K. Тогда KαAUundefinedαK \subseteq \cup_{\alpha \in A} \widetilde{\mathscr{U}}_{\alpha}. Так как по условию (2), можно найти конечное число множеств, скажем, u1,,unu_{1}, \ldots, u_{n}, таких, что K=i=1nuiK=\cup_{i=1}^{n} u_{i}, то тогда Ki=1nиundefinediK \subseteq \cup_{i=1}^{n} \widetilde{и}_{i}, что и показывает (1).

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Problem 2723

Теорема 3.2.12. Любой отрезок [a,b]R[a, b] \subsetneq \mathbb{R} конечной длины a<ba<b, является компактным множеством.
Доказательство. Доказывать будем от противного. Долустим, что существует такое покрытие {ϑα}αAγ\left\{\vartheta_{\alpha}\right\}_{\alpha \in A}^{\gamma} открытыми множествами из R\mathbb{R} для отрезка I=[a,b]I=[a, b], что из него нельзя выбрать конечное подпокрытие.
Итак, пусть IαAUαI \subseteq \bigcup_{\alpha \in A} \mathcal{U}_{\alpha} и из этого покрытия нельзя выбрать конечное подпокрытие, которое бы покрыло II. Разобьём II пополам т.е представим его так: [a,b]=[a,a+b2][a+b2,b].[a, b]=\left[a, \frac{a+b}{2}\right] \cup\left[\frac{a+b}{2}, b\right] .
По условию II нельзя покрыть конечным числом множеств из {Uα}αA\left\{U_{\alpha}\right\}_{\alpha \in A}, тогда хотя бы один из полученных отрезков, обозначим его через I1I_{1} тоже нельзя покрыть конечным числом множеств из покрытия {α}αA\left\{\bigcup_{\alpha}\right\}_{\alpha \in A}. Иначе бы оба полученных отрезка покрывались бы конечным числом множества из покрытия, а тогда и I покрывался бы конечным числом множеств из этого покрытия, что и показывала бы компактность II.
Разобьём теперь отрезок I1I_{1} аналогичным образом на два равных отрезка. Так как I1I_{1} нельзя покрыть конечным числом множеств из покрытия {α}αA\left\{थ_{\alpha}\right\}_{\alpha \in A}, то найдётся хотя бы один, скажем, I2I_{2}, из только что полученных, который тоже нельзя покрыть конечным числом множеств. Будем повторять эту процедуру каждый раз, пусть Ik=[ak,bk],k1I_{k}=\left[a_{k}, b_{k}\right], k \geq 1. В результате мы получаем бесконечную цепь вложенных друг в друга отрезков II1I2,I \supsetneq I_{1} \supsetneq I_{2} \supsetneq \ldots,
каждый из которых нельзя покрыть конечным числом элементов множества {Uα}αA\left\{U_{\alpha}\right\}_{\alpha \in A}. Более того, их длины строго уменьшаются (каждый из отрезков по длине в два раза меньше, чем предыдущий). Тогда по Лемме о вложенных отрезках (Лемма 1.5.6), существует такая точка cIc \in I, что ck1Ikc \in \bigcap_{k \geq 1} I_{k}, которая есть предел для последовательности их концов; limkak=c=limnbn.\lim _{k \rightarrow \infty} a_{k}=c=\lim _{n \rightarrow \infty} b_{n} .
Тогда для любого ε>0\varepsilon>0 найдётся такой номер NN, что при kNk \geq N все ak,bk(cε,c+ε)a_{k}, b_{k} \in(c-\varepsilon, c+\varepsilon), а по построению это значит, что и все Ik(cε,c+ε),kNI_{k} \subseteq(c-\varepsilon, c+\varepsilon), k \geq N.
С другой стороны, так как имеется покрытие {ϑα}αA\left\{\vartheta_{\alpha}\right\}_{\alpha \in A} этого отрезка II, то найдётся хотя бы одно открытое множество UαU_{\alpha} такое, что сUαс \in U_{\alpha}, а так как оно открытое, то для точки сс можно найти ε\varepsilon-окрестность (cε,c+ε)Uα(c-\varepsilon, c+\varepsilon) \subseteq U_{\alpha}.
Таким образом, мы получаем, что для всех kNk \geq N есть включения Ik(cε,c+ε)Uα,I_{k} \subseteq(c-\varepsilon, c+\varepsilon) \subseteq U_{\alpha},
но это значит, что все отрезки IkI_{k} покрываются всего одним открытым множеством UαU_{\alpha}, что противоречит построению отрезков IkI_{k}, т.е. такое построение невозможно, что и означает компактность отрезка II. 58
Теперь у нас всё готово, чтобы описать компактные множества в R\mathbb{R}.

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Problem 2724

In a certain Algebra 2 class of 30 students, 14 of them play basketball and 7 of them play baseball. There are 14 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

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Problem 2725

A closet company sells wooden storage cubicles. Jane bought 24 cubicles. She wants to arrange them in a rectangular array. What are all of the different (ways Jane can arrange them, using all of her cubicles? Explain how you know you found them all.
These cubicles are arranged in an array.
These cubicles are not arranged in an array.

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Problem 2726

N-GEN MATH sed 7{ }^{\text {sed }} 7 HOMEWORK Fluency
1. For each data set below find the first and third quartiles and find the interquartile range, whic is calculated using Q3Q1Q_{3}-Q_{1}. Label each statistic that you find. (a) 9,11,15,18,22,22,25,27,309,11,15,18,22,22,25,27,30 (b) 25,32,34,37,41,48,52,55,55,5825,32,34,37,41,48,52,55,55,58 (c) 14,14,17,19,19,20,23,25,29,30,32,32,35,36,40,4114,14,17,19,19,20,23,25,29,30,32,32,35,36,40,41
2. Which of the following is the third quartile value for the data set below. 71,74,78,82,82,85,86,86,88,92,94,9871,74,78,82,82,85,86,86,88,92,94,98 (1) 86 (3) 92 (2) 90 (4) 98
3. Which of the following is the interquartile range of the data set shown below? (1) 9 (3) 14 (2) 11.5 (4) 19 12,14,16,16,19,20,23,25,3112,14,16,16,19,20,23,25,31

N-Gen Mate 7, Unit 7-Statistics-Lesson 2 eMATHinstruction, Red Hook, NY 12571, 02020\mathbf{0} 2020 317

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Problem 2727

How changing a value affects the mean and median
The weekly salaries (in dollars) for 10 employees of a small business are given below. (Note that these are already ordered from least to greatest.) 615,645,704,808,861,864,879,905,961,1018615,645,704,808,861,864,879,905,961,1018
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Suppose that the $1018\$ 1018 salary changes to $888\$ 888. Answer the following. \begin{tabular}{|c|c|} \hline (a) What happens to the median? & \begin{tabular}{l} \\ It decreases \square by \\ It increases \square by It stays the same. \end{tabular} \\ \hline (b) What happens to the mean? & \begin{tabular}{l} It decreases
\square by \\ It increases \square by It stays the same. \end{tabular} \\ \hline \end{tabular}

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Problem 2728

Pick all the fractions equivalent to 3. 93\frac{9}{3} 64\frac{6}{4} 63\frac{6}{3} 42\frac{4}{2} submit

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Problem 2729

Find the mean and median of the following data set. Round your answers to the nearest hundredth as needed. \begin{tabular}{|l|l|l|l|l|l|l|l|l|} \hline 4 & 9 & 8 & 2 & 3 & 6 & 5 & 2 & 8 \\ \hline \end{tabular}
Mean: \square
Median: \square

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Problem 2730

Select the correct answer. Which combination of shapes could be used to model the piano will give the best estimate of its volume? A. 3 cones and a pentagonal prism B. 3 cylinders and a pentagonal prism C. 3 cylinders and a rectangular prism D. 3 cones and a rectangular prism

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Problem 2731

Probability Outcomes and event probability
A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on the first roll, an even number on the second roll, and an even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability. For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of event. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline & \multicolumn{8}{|c|}{Outcomes} & \multirow{2}{*}{Probability} \\ \hline & EEO & OEO & 000 & EOO & OEE & EEE & EOE & OOE & \\ \hline Event A: An even number on the last roll & 0 & 0 & 0 & 0 & ○ & 0 & O & 0 & 38\frac{3}{8} \\ \hline Event B: An odd number on each of the first two rolls & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 14\frac{1}{4} \\ \hline Event C: An even number on both the first and the last rolls & 0 & 0 & 0 & 0 & 0 & 0 & 0 & ○ & \square \\ \hline \end{tabular}

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Problem 2732

السؤال الكاني
رتب الأعداد التالية تصاعديا : 2\sqrt{2} ، 23\sqrt[3]{2} ،

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Problem 2733

25
Which of the following verbs is regular?
Veuillezt choisir une réponse. a. Debug b. Run c. Execute d. Write

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Problem 2734

Which of the following is a countable noun in computer science?
Veuillez choisir une réponse. a. Code b. Computer c. Data d. Software

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Problem 2735

Given the conditional statement "If It is midnight, then it is dark out," what would the contrapositive be? If it is midnight, then it is not dark out. If it is not midnight, then it is not dark out. If it is dark out, then it is midnight. If it is not dark out, then it is not midnight.

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Problem 2736

TH-150-01CA) Braden Revermann 12/13/24 1:47 PM (?) HW Score: 78.57\%, 11 of 14 10.2 Question 12, 10.2.44 points Points: 0 of 1 Save
In how many ways could a club select two members, one to open their next meeting and one to close it, given that Alan will not be present?
N = \{Carl, Lisa, Jen, Adam, Alan, Tammy, Cathy, David, Sandy, Ashley\} \square way(s) (Simplify your answer.)

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Problem 2737

12) O'Leary is starting a chess team and there are seven spots on the team. There are 8 Grade tens, 7 grade elevens, and 14 grade twleves that are trying to make the team. Assume each student is equally skilled and equally likely to make the team. a) How many different teams are possible? 29C7=1560780 possible teams { }_{29} C_{7}=1560780 \text { possible teams } b) What is the probability of the team consisting of 2 students from grade ten, 2 students from grade eleven, and 3 students from grade twelve? Express your answer as a percentage to the nearest te of a percent. 8C27C214C329C7=28213641560780=2140321560780=0.137×1\frac{8 C_{2} \cdot{ }_{7} C_{2} \cdot{ }_{14} C_{3}}{{ }_{29} C_{7}}=\frac{28 \cdot 21 \cdot 364}{1560780}=\frac{214032}{1560780}=0.137 \times 1 c) What is the probability of the team including either 1 or 2 students from grade ten? Express yo answer as a percentage to the nearest tenth of a percent.

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Problem 2738

A committee of 4 is being formed randomly from the employees at a school: 6 administrators, 38 teachers, and 5 staff. What is the probability that all 4 members are administrators? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Answer How to enter your answer (opens in new window) Tables Keypad Keyboard Shortcuts

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Problem 2739

\begin{tabular}{|c|c|} \hline Data Set Y & Data Set Z \\ \hline 0.52 & 0.37 \\ \hline 1.69 & 0.52 \\ \hline 1.01 & 0.09 \\ \hline 1.39 & 0.84 \\ \hline 1.57 & 1.39 \\ \hline \end{tabular}
Answer Attempt 1 out of 2
The maximum of Data Set YY is \square than the maximum of Data Set Z. The min of Data Set Y is than the minimum of Data Set Z.

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Problem 2740

For the data set below, find the IQR. 6476767066716171627979\begin{array}{lllllllllll} 64 & 76 & 76 & 70 & 66 & 71 & 61 & 71 & 62 & 79 & 79 \end{array}
Send data to Excel 8 76 12 64

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Problem 2741

Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent switches, each one set on or off. The receiver (wired to the door) must be set with the same pattern as the transmitter.
If six neighbors with the same type of opener set their switches independently, what is the probability of at least one pair of neighbors using the same settings?
The probability of at least one pair of neighbors using the same settings is approximately 9785 . (Type an integer or decimal rounded to four decimal places as needed.)

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Problem 2742

State the domain and range for the following relation. Then determine whether the relation represents a function. {(0,9),(1,9),(2,9),(3,9)}\{(0,9),(1,9),(2,9),(3,9)\}
The domain of the relation is \square \}. (Use a comma to separate answers as needed.) The range of the relation is \square \}. (Use a comma to separate answers as needed.) Does the relation represent a function? Choose the correct answer below. A. The relation is not a function because there are ordered pairs with 9 as the second element and different first elements. B. The relation is a function because there are no ordered pairs with the same first element and different second elements. C. The relation is not a function because there are ordered pairs with 0 as the first element and different second elements. D. The relation is a function because there are no ordered pairs with the same second element and different first elements.

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Problem 2743

Find the mean, median, mode, and range for these sets: 1) 46,46,58,50,52,4946,46,58,50,52,49 2) 62,60,54,72,7262,60,54,72,72 3) 89,89,76,87,82,8589,89,76,87,82,85 4) 78,75,77,77,5878,75,77,77,58 5) 50,49,57,57,48,5850,49,57,57,48,58 6) 62,61,46,61,5062,61,46,61,50 7) 32,32,26,25,20,3132,32,26,25,20,31 8) 64,63,65,64,6464,63,65,64,64 9) 95,95,94,98,79,9595,95,94,98,79,95

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Problem 2744

List the metric prefixes kilo, micro, centi, and milli in order from smallest to largest.

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Problem 2745

Classify the points (4,0), (0,-5), and (9,-4) as x-intercept, y-intercept, or neither.

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Problem 2746

Calculate the mean of the numbers 50,49,57,57,48,5850, 49, 57, 57, 48, 58 and round to the nearest tenth.

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Problem 2747

Create a boxplot and find the 5-number summary for the strontium-90 values: 129, 131, 135, 139, 142, 144, 147, 149, 152, 153, 155, 155, 155, 156, 159, 162, 165, 166, 168, 174.

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Problem 2748

Calculate the mean of the numbers 89,89,76,87,82,8589, 89, 76, 87, 82, 85 and round to the nearest tenth.

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Problem 2749

Analyze the violent-crime rates: Q1=272.8Q_{1}=272.8, Q2=387.4Q_{2}=387.4, Q3=529.1Q_{3}=529.1. Interpret these values correctly.

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Problem 2750

Analyze the violent crime rates: Q1=272.8Q_{1}=272.8, Q2=387.4Q_{2}=387.4, Q3=529.1Q_{3}=529.1. Interpret and find the interquartile range.

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Problem 2751

Count the significant digits in these measurements: 4.9×103 mL4.9 \times 10^{-3} \mathrm{~mL}, 0.007000 J0.007000 \mathrm{~J}, 52200 kg52200 \mathrm{~kg}, 8.0×103 kJ/mol8.0 \times 10^{-3} \mathrm{~kJ} / \mathrm{mol}.

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Problem 2752

What is the probability that a randomly selected competitor reacted in less than 0.3 seconds and was female, given 3 males and 5 females?

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Problem 2753

Calculate the mean of the numbers 32,32,26,25,20,3132, 32, 26, 25, 20, 31 and round to the nearest tenth.

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Problem 2754

Find the statistical measures and box plot for this data: 6, 9, 10, 11, 12, 13, 14, 14, 15, 16, 16, 16, 18. Min, Q1, Med, Q3, Max: \square.

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Problem 2755

Calculate the min, Q1, median, Q3, max for the data set: 4, 6, 9, 10, 11, 12, 13, 13, 14, 15, 17, 17, 19. Create a box plot.

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Problem 2756

Find the median and mean of the data set: 38, 16, 37, 29. Calculate median and mean values.

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Problem 2757

Find the median and mean of the set: 24, 44, 10, 22. Median = , Mean = .

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Problem 2758

Find the median and mean of the data set: 18, 18, 12, 47, 10. Median = \square , Mean = \square .

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Problem 2759

Find the translation from triangle KMNK M N with vertices K(12,3),M(5,2),N(8,4)K(12,3), M(-5,2), N(8,-4) to K(18,0),M(1,1),N(14,7)K^{\prime}(18,0), M^{\prime}(1,-1), N^{\prime}(14,-7).

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Problem 2760

Reflect triangle GHJG H J with vertices G(5,3),H(2,6),J(6,2)G(-5,3), H(2,6), J(-6,2) to get G(5,3),H(2,6),J(6,2)G^{\prime}(5,3), H^{\prime}(-2,6), J^{\prime}(6,2).

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Problem 2761

Select the mixtures that maintain the ratio 1:1:2 for minerals, peat moss, and compost.

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Problem 2762

Express the interval (6,1](-6,1] in set-builder notation and graph it on a number line.

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Problem 2763

Find the average price per gallon that Nancy paid for gas, given gallons and prices: Texaco (20, 3.95), Mobil (14, 3.10), Bp (22, 3.80), Shell (16, 3.90). Round to the nearest cent.

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Problem 2764

Probability Outcomes and event probability Almas
A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on Español the first roll, an even number on the second roll, and an even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability.
For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline \multirow[t]{2}{*}{} & \multicolumn{8}{|c|}{Outcomes} & \multirow{2}{*}{Probability} \\ \hline & EOO & EEE & OEE & EEO & OEO & EOE & 000 & OOE & \\ \hline \begin{tabular}{l} Event \\ A: An \\ even \\ number \\ on the \\ first roll \\ or the \\ third roll \\ (or \\ both) \end{tabular} & 0 & 0 & ○ & ○ & 0 & ○ & 0 & 0 & — \\ \hline \begin{tabular}{l} Event \\ B: Two or more odd numbers \end{tabular} & 0 & 0 & ○ & 0 & 0 & 0 & 0 & vv & — \\ \hline \begin{tabular}{l} Event \\ C: No \\ odd \\ numbers \\ on the \\ first two \\ rolls \end{tabular} & 0 & 0 & ○ & ○ & ○ & ○ & 0 & 0 & \square \\ \hline \end{tabular}

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Problem 2765

14
Uung the Venn Dragram below, the value of P(AUC) is?
a None of chorices
a 0.73 C 0.88 d. 032 e. a62a_{62}

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Problem 2766

Meiosis is the process through which sex cells, or egg and sperm cells, are produced in multicellular organisms. This process is divided into two phases-meiosis I and meiosis II.
The picture below shows one stage that occurs during meiosis I.
What is the name of this phase and what occurs during this phase? A. Anaphase I; during this phase, homologous chromosome pairs separate, but sister chromatids remain attached to each other. B. Metaphase II; during this phase, homologous chromosomes line up in the middle of the cell. C. Anaphase II; during this phase, homologous chromosomes separate, and sister chromatids are pulled apart. D. Metaphase I; during this phase, homologous chromosome pairs line up in the middle of the cell.

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Problem 2767

(arercise (11) The number of elements of three sets A, B and E are distributed as shown in the adjoining figure. Calculate the value of xx, in each of the following cases: 1) Card (A)=53(A)=53. 2) Card (B)=37(B)=37. 3) Card (E)=60(E)=60. 4) Card(AB)=15\operatorname{Card}(A \cap B)=15. 5) Card(AB)=51\operatorname{Card}(A \cup B)=51.
Brercise(12) A survey was made on 500 customers in a store which sells only shirts and jackets. The result is presented below: - 300 customers bought jackets; 240 customers bought shirts; 110 bought nothing. 1) How many customers bought jackets and shirts at the same time? 2) How many customers did not buy jackets? 3) How many customers bought at least one item?

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Problem 2768

Q2) Let f:XYf: X \rightarrow Y be a function and BYB \subseteq Y, prove that f1(YB)=Xf1(B).f^{-1}(Y-B)=X-f^{-1}(B) .

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Problem 2769

Fird the median of the set of scores. 44,86,92,58,62,70,9244,86,92,58,62,70,92 58 72 92 70

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Problem 2770

Find the GCF of 180, 270, and 360: GCF(180,270,360)=?\text{GCF}(180,270,360)= ?

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Problem 2771

Three students weighed a copper cylinder (true mass: 47.32 g47.32 \mathrm{~g}). Analyze their accuracy and precision based on their results.

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Problem 2772

A boy has a penny, nickel, dime, and quarter. What is the sample space for selecting 2 coins, and how many are there?

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Problem 2773

Select 3 tires from 200. Each tire is ' DD ' (defective) or ' NN ' (non-defective). Find the sample space and total.

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Problem 2774

List all combinations of picking 2 from Sam, Clyde, Will, Lisa, and Michelle. What is the total number of combinations?

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Problem 2775

What is the complement of Event A=A= sophomore or senior?
Options:
1. A=A^{\prime}= sophomore or senior
2. A=A^{\prime}= junior or senior
3. A=A^{\prime}= freshman or sophomore
4. A=A^{\prime}= freshman or junior

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Problem 2776

1. A cran-apple juice blend has a cranberry to apple ratio of 3:5. Find amounts for cranberry tt and apple yy.
2. John fills an 18-inch deep tub. It takes 2 min for 3 inches. Will it take 10 more min to fill? Explain.

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Problem 2777

A fair six-sided die is rolled. Find the probability of getting: (a) a '4', (b) a '1' or '6', (c) a prime number, (d) a multiple of 10.

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Problem 2778

Are the events "selecting a textbook" and "selecting a book with pictures" mutually exclusive?

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Problem 2779

Are the events "a voter is a Republican" and "a voter is a Democrat" mutually exclusive? Choose: Mutually exclusive or Not mutually exclusive.

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Problem 2780

Which of the following is true? 2\sqrt{2} is a rational number. 0 is neither a rational number nor an irrational number. 16-\sqrt{16} is an irrational number. 1.31 . \overline{3} is a rational number but not an integer.

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Problem 2781

4- Sobre o património de uma entidade diga: fale do aspecto quanto a composiçāo do património.
5. Defina o valor do património.

6- Cite e explique as situaçöes que podem ocorrer no património de uma entidade. O Património de uma determinada entidade é constituído pelos seguintes elementos: 21- Empréstimo 4000000 de usd obtido a 4 anos no BDA 22- Duas viaturas cujo valor global é de 14000000.00 31
23-Divida à NCR de 1900000.00 24-Mercadoria no valor de 900 usd 25-Imposto a pagar ao Estado 900.000 .00 26-Juros a pagar 200000.00 27- Empréstimo concedido a Escolar Editora...... 1200000.00 28-Salários a pagar. 1120000.00
29- Dívida de Nunes Abreu por compra de mercadoria no valor de \qquad 900 usd. 30-Edifício sede. \qquad 5000000,00 31- Valor em caixa \qquad 1200000.00
32-50 Caixa de papel sendo que cada caixa contém 5 resmas e cada resma custa 8 usd.
33. Três motorizadas para entrega ao domicilio, cada 1250000,00

34-Dois computadores para a empresa com custo unitário de 285000.00 35-Juros a receber \square 220000.00
36- 320 embalagens de omo, cada contendo 60 pacotes de omo, sendo custo unitário de cada pacote 280, 00 \square of 84 400.00 39 =7=7 .02a.02 a Oo 240 \qquad 23, 000 325\frac{3}{25} 2
37-Duas secretárias no valor de 195000.000 cada 1521 100 000 Do
38- Um terreno com arranjos no valor de 7000 usd. 5.46000 0.00
39-21 computadores no valor de 287000.00 cada. 000 000.0016000.00^{\circ} 16 \qquad 60,00 .00 40- Um edificio em construçăo no talatona. .400 3.1 1200
Pretende-se: Elaborar o inventário geral e classificado, determinar a situação líquida da entidade. Obs: a taxa de câmblo é de 1 usd=780.00 Kz.

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Problem 2782

Question 10 of 15 (1 point) I Question Attempt: 1 of 1
The top 14 speeds, in miles per hour, for Pro-Stock drag racing over the past two decades are listed below. Find the median speed. 180.3202.0190.0201.6190.7201.5192.6201.4193.5201.4194.6199.2195.8196.2\begin{array}{lllllllllllllll} 180.3 & 202.0 & 190.0 & 201.6 & 190.7 & 201.5 & 192.6 & 201.4 & 193.5 & 201.4 & 194.6 & 199.2 & 195.8 & 196.2 \end{array} Send data to Excel 201.4 195.8 194.9 196.0

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Problem 2783

Español
The following is a list of P/E ratios (current stock price divided by company's earnings per share) for 16 companies. 57,53,50,46,42,35,31,56,52,49,34,34,34,30,30,3057,53,50,46,42,35,31,56,52,49,34,34,34,30,30,30
Send data to calculator
Draw the histogram for these data using an initial class boundary of 29.5, an ending class boundary of 59.5, and 5 classes of equal width. Note that you can add or remove classes from the figure. Label each class with its endpoints. +\square+ ++\square \square \square_{\rightarrow}^{-}

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Problem 2784

д10.v. Бинарное отношение на множестве из 7 элементов содержит ровно 20 пар. Может ли оно быть a) отношением строгого частичного порядка? б) отношением строгого линейного порядка? (В строгом линейном порядке любая пара различных элементов сравнима.) Примечания. В этой задаче правильный и обоснованный ответ на каждый пункт даёт 2 балла в общую оценку за задачу (максимум 4 балла).

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Problem 2785

Д13.4. Пусть KK - множество конечных подмножеств натуральных чисел, упорядоченных по включению (если a,bKa, b \in K, то ababa \leqslant b \Leftrightarrow a \subseteq b ); MM - множество положительных натуральных чисел, свободных от квадратов (которые не делятся на p2p^{2} ни для какого простого pp ), упорядоченных по отношению делимости (если a,bMa, b \in M, то abba \leqslant b \Leftrightarrow b делится без остатка на aa ). Докажите, что эти два порядка изоморфны.

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Problem 2786

Д14.1. Пусть A={(n,k)N×N:nk}A=\{(n, k) \in \mathbb{N} \times \mathbb{N}: n \geqslant k\} и B={(n,k)N×N:nk}B=\{(n, k) \in \mathbb{N} \times \mathbb{N}: n \leqslant k\}. Рассмотрим ограничение лексикографического порядка N×N\mathbb{N} \times \mathbb{N} на эти множества: пара ( n1,k1n_{1}, k_{1} ) меньше пары ( n2,k2n_{2}, k_{2} ), если n1<n2n_{1}<n_{2} или n1=n2n_{1}=n_{2} и k1<k2k_{1}<k_{2}. Изоморфны ли эти порядки на множествах AA и BB ? Д14.2. Найдите подмножество множества Q\mathbb{Q} (с обычным порядком), изоморфное множеству N×N\mathbb{N} \times \mathbb{N}.

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Problem 2787

ne two fair spinners below each have four equal sections. The diagram shows every possible total whe the results from the two spinners are added together.
What is the probability of the total being 7 ? Give your answer as a fraction.

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Problem 2788

Part 2 of 3 (b) What is the range of the values of the probability of an event? Do not express as percentages.
The range of values is \square to \square inclusive.

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Problem 2789

Español
A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the first toss, followed by two tails). The 8 outcomes are listed in the table below. Note that each outcome has the same probability.
For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline \multirow[t]{2}{*}{} & \multicolumn{8}{|c|}{Outcomes} & \multirow{2}{*}{Probability} \\ \hline & TIT & TTH & THH & HTT & HHT & HTH & THT & HHH & \\ \hline Event A: A tail on both the first and the last tosses & ○ & ○ & ○ & ○ & ○ & ○ & & ○ & \square \\ \hline Event B: Exactly one head & & & & & & & & & \square \\ \hline Event C: A head on each of the last two tosses & 0 & & & ○ & ○ & ○ & ○ & ○ & \square \\ \hline \end{tabular}

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Problem 2790

Here are the scores of 13 students on an algebra test. 59,63,68,68,77,79,81,82,83,86,88,90,9259,63,68,68,77,79,81,82,83,86,88,90,92
Notice that the scores are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set. \begin{tabular}{|l|} \hline \multicolumn{1}{|l|}{ Five-number summary } \\ Minimum: \\ Lower quartile: \\ Median: \\ Upper quartile: \\ Maximum: \\ \hline Interquartile range: \\ \hline \end{tabular}

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Problem 2791

(a) A botanist at a nursery wants to inspect the health of the plants at the nursery. Which of the following best describes a stratified sample of plants? The botanist forms groups of 8 plants based on the heights of the plants. Then, he randomly chooses 7 groups and selects all of the plants in these groups.
The botanist forms 7 groups of plants based on the ages of the plants (in months). Then, he selects 8 plants at random from each group. The botanist assigns each plant a different number. Using a random number table, he draws 56 of those numbers at random. Then, he selects the plants assigned to the drawn numbers. Every set of 56 plants is equally likely to be drawn using the random number table, (b) A chemist at a pharmaceutical company wants to test the quality of a new batch of microscopes. Which of the following best describes a systematic sample of microscopes?
The chemist forms 5 groups of microscopes based on the prices of the microscopes. Then, he selects 18 microscopes at random from each group. The microscopes in the first shipment that was received are easily accessible. So, he selects all 90 of the microscopes in this shipment. The chemist takes a list of the microscopes and selects every 5th 5^{\text {th }} microscope until 90 microscopes are selected. (c) A facilities supervisor at a sports stadium wants to rate the condition of the seats at the stadium. Which of the following best describes a random sample of seats? The supervisor uses a computer program to draw 64 seats at random and selects these seats. Every set of 64 seats is equally likely to be drawn by the computer program. The supervisor takes a list of the seats and selects every 4th 4^{\text {th }} seat until 64 seats are selected. The supervisor forms groups of 8 seats based on the sections the seats are in. Then, she selects all of the seats in 8 randomly chosen groups.

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Problem 2792

- Descriptive Statistics www-awa.aleks.com e Mode of a data set Course Home Access code Accesscode... ย Metrya 10 astit chata 4
Here are the numbers of children in 9 elementary school classes. 24,23,19,25,22,14,20,18,1624,23,19,25,22,14,20,18,16 Jamelah Send data to calculator Practice 3 Due Today 11:59 PM
Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode." — \square

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Problem 2793

The data show the population (in thousands) for a recent year of a sample of cities in South Carolina. \begin{tabular}{llllll} 13 & 21 & 24 & 26 & 66 & 16 \\ 23 & 15 & 16 & 30 & 28 & 35 \\ 90 & 18 & 30 & 26 & 21 & 27 \\ 103 & 48 & 22 & 48 & 106 & 34 \\ 33 & 56 & & & & \end{tabular} Send data to Excel
Part: 0 / 8
Part 1 of 8
The data value \square corresponds to the 48th 48^{\text {th }} percentile. \square

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Problem 2794

Español
The weekly salaries (in dollars) of 24 randomly selected employees of a company are shown below. Select the correct boxplot for the data set. \begin{tabular}{llllllll} 280 & 320 & 440 & 460 & 470 & 490 & 520 & 540 \\ 580 & 600 & 640 & 690 & 720 & 840 & 880 & 900 \\ 1060 & 1200 & 1270 & 1310 & 1400 & 1730 & 2600 & 3500 \end{tabular} A. B. C.

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Problem 2795

Assignment 3 alyaqeensa.... (A) alyaqeensa.... (A) alyaqeensa.... (A) Sorry, this p... (A) alyaqeensa.... A صفحة البداية alyaqeensa.... www-awa.aleks.com દદ 三 Assignment 3 Question 5 of 15 (1 point) | Question Attempt: 1 of 1 Time Remaining: 1:19:46 =1 =2=2 = 3 5 6 7 8 9 10 11
Test Scores Find the percentile rank for each test score in the data set. Round to the nearest whole percentile. 12,22,32,41,46,49,5012,22,32,41,46,49,50 Send data to Excel
Part: 0 / 8
Part 1 of 8
The percentile rank for the value 12 is \square .

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Problem 2796

Bob has 21 different dress shirts in his wardrobe. (a) In how many ways can Bob select seven shirts to pack for a business trip? (b) In how many ways can Bob select 5 of the 7 dress shirts he packed for the business trip? Each one is purposed for the five different events he will attend during the trip. (a) Bob can select seven shirts to pack for a business trip in \square ways. (Simplify your answer.)

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Problem 2797

Calculate the probability of randomly selecting a pediatrician from the hospital staff. P(pediatrician)=P(\text{pediatrician}) =

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Problem 2798

Calculate the correlation coefficient for the sets x={28,10,21,17,24,3,16}x = \{28, 10, 21, 17, 24, -3, 16\} and y={29,21,8,22,7,10,5}y = \{29, 21, -8, 22, -7, -10, -5\}.

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Problem 2799

Find the probability that a randomly chosen prisoner takes no classes, given the prisoner counts: 449 (under 30) and 360 (30 and over). Round to three decimal places.

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Problem 2800

Calculate the mean length of seedlings: 4,2,4,1,5,3,4,3,7,34, 2, 4, 1, 5, 3, 4, 3, 7, 3. What is [?][]=[]\frac{[?]}{[]}=[]? 36, 22, 7, 10.

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