Inequality

Problem 501

Choose the correct box of the best buy available. 104 off on a can of peaches usually sell ng for 58 c a can a can of peaches et 49 c a can

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Problem 502

8. Grayson can spend a maximum of 3 hours, hh, watching television on the weekend. \qquad

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Problem 503

10. Which of the inequalities below does not include c=0.5\mathrm{c}=0.5 as part of the solution set? c>50c>50 c<1c<-1 c<2.5c<2.5 6c-6 \geq c c12c \leq \frac{1}{2}

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Problem 504

Is it possible for a triangle to have sides with the given lengths? Explain. 5 in., 8 in., 15 in. A. Yes; the sum of each pair is greater than the third. B. No; 5+85+8 is not greater than 15 . C. No;152>52+82\mathrm{No} ; 15^{2}>5^{2}+8^{2}. D. Yes; 152>52+8215^{2}>5^{2}+8^{2}.

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Problem 505

14. According to the General Services Administration, the federal government owns about 130\frac{1}{30} of the acreage in Alaska and about 6125\frac{6}{125} of the acreage in Kentucky. Which state has the larger portion of federally owned land? Explain.

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Problem 506

13x+913 \neq x+9

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Problem 507

The solution set of the inequality (x+2)(x24x+3)0(-x+2)\left(x^{2}-4 x+3\right) \leq 0

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Problem 508

Solve the inequality and graph the solution on the line provided. 8x+3218 x+3 \geq-21
Answer Attempt 1 out of 2
4 \square \leqslant 2 \square Inequality Notation: \square Number Line:

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Problem 509

Ex IV: Soit x un mombrerred tel que x3x \leqslant-3 Montrelque: 5x+128-\frac{-5 x+1}{2} \geqslant 8

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Problem 510

18<3u18<-3 u

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Problem 511

Solve: 2(x+1)>4(x1)2(x+1)>4(x-1) A. x>3x>3 B. x<3x<-3 C. x<3x<3 D. x>3x>-3

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Problem 512

Solve the following inequality for xx. A. x<8.4x<8.4 10x+8>92-10 x+8>-92 B. x>8.4x>8.4 C. x>10x>10 D. x<10x<10

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Problem 513

Solve the following inequality for xx. 9.5x+3>989.5 x+3>98 A. x>10.63x>10.63 B. x<10.63x<10.63 C. x>10x>10 D. x<10x<10

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Problem 514

Solve for xx. 10x<12+4x10 x<12+4 x A. x>3x>3 B. x<3x<3 C. x>2x>2 D. x<2x<2 Reset Submit

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Problem 515

Directions: Select all the correct locations on the tables. A soccer coach is buying uniforms for his team and has a budget of $1,650\$ 1,650. There are 25 players on the team, and each player will receive one jersey and one pair of shorts. The total cost of shorts for the team is $512.50\$ 512.50. The coach wants to know how much he can afford to spend per jersey and stay within the budget. Disregard any taxes or other additional costs associated with ordering the uniforms.
Determine the correct representation or interpretation of xx, the cost per jersey, in each table. \begin{tabular}{|c|} \hline Algebraic \\ \hline 25x+512.51,65025 x+512.5 \geq 1,650 \\ \hline 25x+512.51,65025 x+512.5 \leq 1,650 \\ \hline 25x+512.5>1,65025 x+512.5>1,650 \\ \hline 25x+512.5<1,65025 x+512.5<1,650 \\ \hline \end{tabular} \begin{tabular}{|c|} \hline Verbal \\ \hline \begin{tabular}{c} A jersey can cost no more \\ than $45.50\$ 45.50 \end{tabular} \\ \hline \begin{tabular}{c} A jersey can cost more than \\ $45.50\$ 45.50 \end{tabular} \\ \hline \begin{tabular}{c} A jersey must cost less than \\ $45.50\$ 45.50 \end{tabular} \\ \hline \end{tabular} 6 of 20 Answered Session Timer: 12:36 Session Score: 100\%

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Problem 516

Solve the inequality below for tt. A. t0t \geq 0 214t29t2-14 t \geq 2-9 t B. t45t \geq \frac{4}{5} C. t0t \leq 0 D. t45t \leq \frac{4}{5}

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Problem 517

Solve the following inequality for xx. 20+9x4x20+9 x \leq 4 x A. x1.54x \geq 1.54 B. x4x \geq-4 C. x1.54x \leq 1.54 D. x4x \leq-4

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Problem 518

Graph the solution to the inequality on the number line. 32w<11|-3-2 w|<11

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Problem 519

1. Describe the graph of the solutions of each inequality. a. y<3x+5y<-3 x+5

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Problem 520

Solve the compound inequality. 2y2>4 or 3y+3152 y-2>-4 \text { or } 3 y+3 \leq-15
Write the solution in interval notation. If there is no solution, enter \varnothing.

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Problem 521

shboard ENGUSH 207 JOB INTERVIEW ENGUSH 207 JOB INTERVIEW ALEKS - Kierra Kelly - Learn \because www-awy aleks.com/alekscgi/x/lsLexe/10_u-lgNsIkr7/8P3jH-IBG_6H_J-3mFStWh4MRCZccBSzkgsf90gX8qLG0Lzzbpggn9RRsE0a6IMUZyrV1rUBMkbcyF
Arithmetic and Agebra Review Graphing a compound inequality on the number Ine
Graph the compound inequality on the number line. x3 and x<5x \geq 3 \text { and } x<5

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Problem 522

11. Solve each of the following rational inequalities a. x+3x2>0\frac{x+3}{x-2}>0 b. 2xx41\frac{2 x}{x-4} \leq 1 c. 132x253x\frac{1}{3}-\frac{2}{x^{2}} \geq \frac{5}{3 x} d. 5x14x+2\frac{5}{x-1} \geq \frac{4}{x+2}
12. For each of the following rational functions:

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Problem 523

(Irrational Numbers MC) Compare 18\sqrt{18} and 235\frac{23}{5} using ,<\geqslant,<, or ==. a 235<18\quad \frac{23}{5}<\sqrt{18} b 235=18\frac{23}{5}=\sqrt{18} c 18>235\sqrt{18}>\frac{23}{5} d 18<235\sqrt{18}<\frac{23}{5}

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Problem 524

Exercice 6: Montrer que: (xR):x6x5+x4x3+x2x+340(\forall x \in \mathbb{R}): \quad x^{6}-x^{5}+x^{4}-x^{3}+x^{2}-x+\frac{3}{4} \leq 0 Indication Discuter les cas x1,x0x \geq 1, x \leq 0 et 0<x<10<x<1.

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Problem 525

A rectangular box with length 22 inches, width 5 inches, and height 5 inches is to be packed with steel balls of radius 2 inches in such a way that the centers of the balls are collinear. What is the maximum number of balls that can fit into a box, given that balls should not protrude out of the box? A. 0 B. 5 C. 6 D. 10 E. 11

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Problem 526

Tell whether (2,2)(-2,2) is a solution of x+y>0x+y>0. It \square a solution.

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Problem 527

Exercises Solve each inequality. Check your solution.
1. 11y+13111 y+13 \geq-1
2. 8n10<62n8 n-10<6-2 n
3. q7+1>5\frac{q}{7}+1>-5
4. 6n+12<8+8n6 n+12<8+8 n
5. 12d>12+4d-12-d>-12+4 d
6. 5r6>8r185 r-6>8 r-18

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Problem 528

1) x8>10x-8>10

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Problem 529

Which of the following values are solutions to the inequality 106x4-10 \geq 6 x-4 ? I. 3 II. 5 III. -1
Answer None I only II only III only I and II I and III II and III I, II and III

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Problem 530

Find all values that make the inequality x+4x3x5x+2\frac{x+4}{x-3} \geq \frac{x-5}{x+2} true and write your answer in interval notation.

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Problem 531

Ministère de l'éducation Nationale Académique Provinciale de la Ngounié Lycée Paul Marie YEMBIT de Ndendé B.P. 03 Ndendé Année scol
Département de Mathématiques
DEVOIR DE MATHEMATIQUES N 1{ }^{\circ} 1 Consignes: Présentation: 01 Date: 18 I Deure: 03 - Aucun échange entre élèves ne sera toléré ; - Les calculatrices sont acceptées; - La présentation sera prise en compte.
Exercice 1:
1. Soit a et bb deux réels vérifiant: 0a<b0 \leq a<b

Démontrer les relations: a) a<ab<ba<\sqrt{a b}<b b) a<2aba+b<a+b2a<\frac{2 a b}{a+b}<\frac{a+b}{2}
2. Soit (an)\left(a_{n}\right) et ( bnb_{n} ) deux suites définies pour n1n \geq 1 par: b1=23 et bn+1=2anbnanbn puis a1=3 et an+1=anbn+12b_{1}=2 \sqrt{3} \text { et } b_{n+1}=\frac{2 a_{n} b_{n}}{a_{n} b_{n}} \text { puis } a_{1}=3 \text { et } a_{n+1}={\sqrt{a_{n}} b_{n+1}}^{2}

En utilisant le 1.a, démontrer par récurrence que pour tout n1,:0an<bnn \geq 1,: 0 \leq a_{n}<b_{n}
3. En déduire le sens de variation des suites (an)\left(a_{n}\right) et (bn)\left(b_{n}\right)
4. Montrer la convergence des suites (an)\left(a_{n}\right) et (bn)\left(b_{n}\right).
5. Démontrer que, pour n1n \geq 1 (on pourra utiliser 1.) bn+1an+11/2(bnan)b_{n+1}-a_{n+1} \leqslant 1 / 2\left(b_{n}-a_{n}\right)
6. En déduire que pour n1,bnan1/2n \geq 1, b_{n}-a_{n} \leq 1 / 2
7. En déduire que, pour n1n \geq 1 les suites (an)\left(a_{n}\right) et (bn)\left(b_{n}\right) convergent vers une même limite. EXERCICE 2

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Problem 532

Graph the solution to this inequality on the number line. x+5<2x+5<-2
First, select the correct ray. Then, select the location of the endpoint to plot the inequality on the number line.

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Problem 533

Is the statement true or false: 19.7<19.719.7 < |19.7|? Answer: True O False

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Problem 534

Solve the inequality x2+4x>77x^{2}+4 x>77. What are the solution intervals?

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Problem 535

What price change in FOJC triggers a margin call if you bought 2 contracts at 286 cents with a \$3,750 maintenance margin?

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Problem 536

Convert the capacities of three milk containers to millilitres and identify the smallest one. Hint: 1000ml=1L1000 \mathrm{ml}=1 \mathrm{L}.

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Problem 537

Three milk containers have capacities: 1.516 L, 13201 \frac{3}{20} L, and 1 L + 45mt45 \mathrm{mt}. Convert to mL and find the smallest.

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Problem 538

삼각형의 변이 x1,x,x+1x-1, x, x+1일 때, xx의 가능한 값 중 아닌 것은? (1) 2 (2) 3 (3) 4 (4) 5 (5) 6

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Problem 539

Determine the inequality for the range of the linear function pp given points (2,3)(2,-3) and (4,4)(-4,4).

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Problem 540

Solve the linear inequality: 3+2x73 + 2x \leq 7

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Problem 541

Solve the inequality: 7x>56-7x > 56. Find the value of xx.

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Problem 542

Solve the inequality x35|x-3| \leq 5.

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Problem 543

Soient AA et BB deux parties non-vides de R\mathbb{R} avec aba \leq b pour tout aAa \in A et bBb \in B. Montrez que AA est majoré, BB est minoré et sup(A)inf(B)\sup (A) \leq \inf (B).

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Problem 544

Solve the inequality x31x2+x+1|x^{3}-1| \leq x^{2}+x+1 and find x[0,2]x \in [0, 2].

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Problem 545

Check if the scale from triangle with sides 1cm, 2cm, 2.5cm to triangle with sides 3cm, 6cm is 1:31:3.

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Problem 546

Find a fraction between 2/32/3 and 4/54/5. Options: A. 3/43/4 B. 1/21/2 C. 5/65/6 D. 1/51/5

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Problem 547

In art class, Alang mixes 1 cup blue and 3 cups red, while Taylor uses 2 cups blue and 3 cups red. Who's redder?

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Problem 548

Who mixed lighter gray paint: Andrew (1 cup black, 6 cups white) or Micaela (1 cup black, 4 cups white)?

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Problem 549

Determine which postcard size matches the shape of a painting with dimensions 30.25 inches by 25.25 inches. Options:
1. 5 inches by 5 inches
2. 8 inches by 4 inches
3. 6.05 inches by 5.05 inches

Show your work.

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Problem 550

Which postcard matches the shape of a painting where the long side is 1.2 times the short side? Options: A (5x5), B (8x4), C (6.05x5.05).

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Problem 551

If aa and bb are reciprocals with 0<a<10<a<1, what is the range of bb? Options: F. < -1, G. (-1, 0), H. 0, J. (0, 1), K. > 1.

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Problem 552

Beweisen Sie durch Induktion, dass 2n+1n22n2n + 1 \leq n^2 \leq 2^n für alle n4n \geq 4 gilt.

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Problem 553

Find the quadrants for angle θ\theta where cosθ<0\cos \theta < 0 and tanθ>0\tan \theta > 0. Choose from: A. IV, B. II, C. I, D. III.

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Problem 554

Find the quadrant(s) where sinα<0\sin \alpha<0 and secα<0\sec \alpha<0. Answer as 1,2,31,2,3, or 4, separated by commas.

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Problem 555

Find the quadrant(s) for angles where cscα>0\csc \alpha > 0 and cosα>0\cos \alpha > 0. Answer as 1,2,31,2,3, or 4.

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Problem 556

Show 13×34\frac{1}{3} \times \frac{3}{4} on a number line and compare it to 34\frac{3}{4}. Is it less, greater, or equal?

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Problem 557

What inequality represents a graph with a dashed line, negative slope, y-intercept -3, and shaded region above the line?

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Problem 558

Miguel has a \$50 gift card. He wants to buy 3 books at \$15.75 each. Is his estimate of needing \$60 reasonable?

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Problem 559

Find the low and high SDR for Medication A (150 mcg daily, weight 50 kg) and decide if it's appropriate to give. SDR: 2.53mcg/kg2.5-3 \mathrm{mcg} / \mathrm{kg}.

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Problem 560

On Monday, Kristin ran 7357 \frac{3}{5} miles. On Thursday, she ran 5585 \frac{5}{8} miles. What is a good estimate for the total number of miles Kristin ran on both days?
Kristin's Running Log \begin{tabular}{|c|c|c|c|c|} \hline Monday & Tuesday & Wednesday & Thursday & Friday \\ \hline \begin{tabular}{c} 7357 \frac{3}{5} \\ miles \end{tabular} & & & 5585 \frac{5}{8} miles & \\ \hline \end{tabular} CLEAR CHECK
Pick the two closest whole numbers to the total. For both days, Kristin ran more than \square miles and less than \square miles.

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Problem 561

Solve the inequality and graph the solution. 1a11-a \leq-1
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.

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Problem 562

Marisa wants to make two recipes. One recipe calls for 12\frac{1}{2} cup of milk. The other recipe calls for 34\frac{3}{4} cup of milk. Marisa has 1 cup of milk.
Does Marisa have enough milk for both recipes? CLEAR CHECK
Both recipes together call for \square more than less than exactly 1 cup of milk, so Marisa does not v have enough milk.

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Problem 563

Petra wants to represent a distance of 400 miles on a piece of notebook paper that is 8.5 inches wide and 11 inches long. She wants to use a scale of 1in.=20mi1 \mathrm{in} .=20 \mathrm{mi}.
Can Petra make this scale drawing? Why or why not?

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Problem 564

1) r+5+8r23r+5+8 r \leq 23 A) r30r \geq-30 : B) r2r \geq 2 : C) r2r \leq 2 : D) r17r \geq-17 :

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Problem 565

4) 6p1p<116 p-1-p<-11 A) p<2p<-2 : B) p>2p>-2 : C) p<22p<-22 : D) p<38p<-38 :

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Problem 566

Compare the decimals using less than, and equal symbol

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Problem 567

A personnel director in a particular state claims that the meanannual income is greater in one of the state's counties (county A) than it is in another county (county B). In County A, a random sample of 18 residents has a m annual income of $40,800\$ 40,800 and a standard deviation of $8800\$ 8800. In County B, a random sample of 8 residents has a mean annual income of $37,600\$ 37,600 and a standard deviation of $5800\$ 5800. At α=0.10\alpha=0.10, answer parts (a) through (e). Ass the population variances are not equal. If convenient, use technology to solve the problem. D. "The mean annual incomes in counties AA and BB are not equal."
What are H0\mathrm{H}_{0} and Ha\mathrm{H}_{\mathrm{a}} ? The null hypothesis, H0H_{0}, is μ1μ2\mu_{1} \leq \mu_{2}. The alternative hypothesis, HaH_{a}, is μ1>μ2\mu_{1}>\mu_{2}. Which hypothesis is the claim? The null hypothesis, H0\mathrm{H}_{0} The alternative hypothesis, Ha\mathrm{H}_{\mathrm{a}} (b) Find the critical value(s) and identify the rejection region(s).
Enter the critical value(s) below. \square (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)

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Problem 568

A personnel director in a particular state claims that the meanannual income is greater in one of the state's counties (county A) than it is in another county (county B). In County A, a random sample of 18 residents has a mean annual income of $40,800\$ 40,800 and a standard deviation of $8800\$ 8800. In County B, a random sample of 8 residents has a mean annual income of $37,600\$ 37,600 and a standard deviation of $5800\$ 5800. At α=0.10\alpha=0.10, answer parts (a) through (e). Assum the population variances are not equal. If convenient, use technology to solve the problem. D. "The mean annual incomes in counties AA and BB are not equal."
What are H0\mathrm{H}_{0} and Ha\mathrm{H}_{\mathrm{a}} ? The null hypothesis, H0H_{0}, is μ1μ2\mu_{1} \leq \mu_{2}. The alternative hypothesis, HaH_{a}, is μ1>μ2\mu_{1}>\mu_{2}. Which hypothesis is the claim? The null hypothesis, H0\mathrm{H}_{0} The alternative hypothesis, Ha\mathrm{H}_{\mathrm{a}} (b) Find the critical value(s) and identify the rejection region(s).
Enter the critical value(s) below. 1.345 (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)

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Problem 569

A personnel director in a particular state claims that the meanannual income is greater in one of the state's counties (county A) than it is in another county (county B). In County A, a random sample of 18 residents has a me annual income of $40,800\$ 40,800 and a standard deviation of $8800\$ 8800. In County B, a random sample of 8 residents has a mean annual income of $37,600\$ 37,600 and a standard deviation of $5800\$ 5800. At α=0.10\alpha=0.10, answer parts (a) through (e). Assur the population variances are not equal. If convenient, use technology to solve the problem. D. "The mean annual incomes in counties AA and BB are not equal."
What are H0\mathrm{H}_{0} and Ha\mathrm{H}_{\mathrm{a}} ? The null hypothesis, H0H_{0}, is μ1μ2\mu_{1} \leq \mu_{2}. The alternative hypothesis, HaH_{a}, is μ1>μ2\mu_{1}>\mu_{2}. Which hypothesis is the claim? The null hypothesis, H0\mathrm{H}_{0} The alternative hypothesis, Ha\mathrm{H}_{\mathrm{a}} (b) Find the critical value(s) and identify the rejection region(s).
Enter the critical value(s) below. 1.345 (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)

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Problem 570

\text{How far could you drive without exceeding a monthly cost of \$600?} \\
\text{Given:} \\ \text{Cost per mile = \$0.12} \\
\text{Calculate:} \\ \text{Maximum distance you can drive without exceeding \$600.} \\
\text{Example calculations:} \\ 1000 \text{ km} \times 0.12 = \$120 \\ 2000 \text{ km} \times 0.12 = \$240 \\

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Problem 571

Solve for aa. 3.99a7.983.99 a \leq-7.98

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Problem 572

9x+1>4x9-9 x+1>-4 x-9

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Problem 573

Video
Solve the inequality and graph the solution. n+68>65n+68>65
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it. Submit

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Problem 574

Solve the inequality and graph the solution. g+8386g+83 \geq 86
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it. Submit

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Problem 575

7. 2z9<3z+92 z-9<3 z+9

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Problem 576

Which of these ratios is not equivalent to the others? 10:5510: 55 4:334: 33 8:448: 44 2:11

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Problem 577

Solve the inequality 4x9<7-4 x-9<7.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice A. The solution set is \square \square. (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) B. The solution is the empty set.

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Problem 578

Solve the following inequality. x2+19x+90<0x^{2}+19 x+90<0
Select the correct choice below and, if necessary, fill in the answer box. A. The solution set is \square . (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) B. There is no real solution.

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Problem 579

Solve the inequality x216<0\mathrm{x}^{2}-16<0
Select the correct choice below, and if necessary, fill in the answer box to complete your choice. A. The solution is \square (Type your answer in interval notation.) B. There is no real solution.

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Problem 580

Solve the following inequality 2x2<3x+202 x^{2}<3 x+20
Select the correct choice below and, if necessary, fill in the answer box. A. The solution set is \square (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) B. There is no real solution.

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Problem 581

6) Daquan makes a weekly salary of $450\$ 450, plus $10\$ 10 for every hour that he works. If his goal this week is to make at least \$600, write an inequality can be used to determine how many hours he will need to work.

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Problem 582

920\frac{9}{20} ба 14\frac{1}{4} гэсэн хоёр тооны их багыг харьцуул. 1>9\underline{1}>\underline{9}

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Problem 583

a<6a<6 бол аль нь худлаа вэ? a=5.8a=5.8

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Problem 584

List the side lengths of RST\triangle R S T in order from smallest to largest. \square << \square << \square

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Problem 585

The statements in the tables below are about two different chemical equilibria. The symbols have their usual meaning, for example ΔG\Delta G^{\circ} stands for the standard Gibbs free energy of reaction and KK stands for the equilibrium constant.
In each table, there may be one statement that is false because it contradicts the other three statements. If you find a false statement, check the box next to it. Otherwise, check the "no false statements" box under the table. \begin{tabular}{|c|c|} \hline statement & false? \\ \hline lnK>0\ln K>0 & O \\ \hline K<1K<1 & O \\ \hline ΔG<0\Delta G^{\circ}<0 & O \\ \hline ΔH<TΔS\Delta H^{\circ}<T \Delta S^{\circ} & O \\ \hline \end{tabular} no false statements: \begin{tabular}{|c|c|} \hline statement & false? \\ \hlineΔG=TΔS\Delta G^{\circ}=T \Delta S^{\circ} & \\ \cline { 1 - 1 } lnK=0\ln K=0 & \\ \hlineΔG=0\Delta G^{\circ}=0 & \\ \hlineK=1K=1 & \\ \hline \end{tabular} no false statements:

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Problem 586

2. Про функції f,g:[1,)Rf, g:[1, \infty) \rightarrow \mathbb{R} відомо, що f(x)g(x)f(x) \leq g(x) для всіх x1x \geq 1 і інтеграл 1f(x)dx\int_{1}^{\infty} f(x) d x \in розбіжним. Чи можна щось сказати про збіжність інтеграла 1g(x)dx\int_{1}^{\infty} g(x) d x ?

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Problem 587

1. Which of the following values of xx is in the solution set of the inequality x2+x2>0x^{2}+x-2>0 ? Hint - to make this problem easier, generate a table on your calculator using y=x2+x2y=x^{2}+x-2. (1) 1 (3) 0 (2) -2 (4) -4
2. Which of the following values of xx is not in the solution set of the inequality 5x2+35x05 x^{2}+35 x \leq 0 ? (1) -1 (3) 0 (2) 2 (4) -7
3. The solution set of the inequality x2>25x^{2}>25 is which of the following? (1) (5,)(5, \infty) (3) (,5)(5,)(-\infty,-5) \cup(5, \infty) (2) [5,5][-5,5] (4) (,5](-\infty, 5]
4. The solution to the inequality x29<0x^{2}-9<0 can be expressed graphically as (1) (3) (2) (4)
5. Which of the following is the solution set of (x+5)(x3)<0(x+5)(x-3)<0 ? (1) {x5<x<3}\{x \mid-5<x<3\} (3) {xx<5\{x \mid x<-5 or x>3}x>3\} (2) {x5x3}\{x \mid-5 \leq x \leq 3\} (4) {x3<x<5}\{x \mid-3<x<5\}
6. Which inequality below represents all solutions to x25x+24x^{2} \geq 5 x+24 ? (1) {x6x4}\{x \mid-6 \leq x \leq 4\} (3) {xx8\{x \mid x \leq-8 or x3}x \geq 3\} (2) {x2x12}\{x \mid-2 \leq x \leq 12\} (4) {xx3\{x \mid x \leq-3 or x8}x \geq 8\}

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Problem 588

An elementary school claims that the standard deviation in reading scores of its fourth grade students is less than 4.35. Determine whether the hypothesis test is right-tailed, left-tailed, or two-tailed.

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Problem 589

7. Find the solution set to each of the quadratic inequalities shown below. Represent your solution set using any acceptable notation and graphically on a number line. (a) 2x2+9x35<02 x^{2}+9 x-35<0 (b) x25x+6x^{2} \geq 5 x+6 (c) 8x2+50x5<10x58 x^{2}+50 x-5<10 x-5 (d) 4x2+23x604 x^{2}+23 x-6 \geq 0 (e) x210x+24x^{2} \leq 10 x+24 (f) 7x2+4x+3>3x2+4x+47 x^{2}+4 x+3>3 x^{2}+4 x+4

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Problem 590

这 Can the sides of a triangle have lengths of 2,34 , and 36 ? If so, what kind of triangle is it? yes, acute yes, right yes, obtuse no

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Problem 591

A baseball is hit so that its height, ss, in feet after tt seconds is s=16t2+36t+3s=-16 t^{2}+36 t+3. For what time period is the ball at least 23 ft above the ground?
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer. Type an integer or decimal rounded to the nearest hundredth as needed.) A. For the time period between (and inclusive of) \square sec and \square sec the ball will be at least 23 ft above the ground. B. For the time period between (and not inclusive of) \square sec and \square sec the ball will be at least 23 ft above the ground.

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Problem 592

Solve. x+4x2<1\frac{x+4}{x-2}<1
The solution set is \square (Type your answer in interval notation.)

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Problem 593

[动, A triangle has sides with lengths of 32 kilometers, 60 kilometers, and 68 kilometers. Is it a right triangle?
5 yes no submit

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Problem 594

Write the letter for the correct answer in the blank at the right of each question. For Questions 1-7, solve each inequality.
1. x7>3x-7>3

A {xx>10}\{x \mid x>10\} B {xx>4}\{x \mid x>-4\} C {xx<10}\{x \mid x<10\} D {xx<4}\{x \mid x<-4\}
1. \qquad
2. 3t+13 \geq t+1 F {tt4}\{t \mid t \leq 4\}

G {tt2}\{t \mid t \geq 2\} H{tt2}\mathbf{H}\{t \mid t \leq 2\} J{tt4}\mathbf{J}\{t \mid t \geq 4\}
3. 1y41 \geq \frac{-y}{4}

A {yy14}\left\{y \left\lvert\, y \geq-\frac{1}{4}\right.\right\} B {yy4}\{y \mid y \geq-4\} C {yy4}\{y \mid y \leq 4\} D {yy3}\{y \mid y \leq 3\} \qquad 3.
2. \qquad
4. 5m<255 m<-25

F {mm<125}G{mm<125}H{mm>5}J{mm<5}\{m \mid m<125\} \quad \mathbf{G}\{m \mid m<-125\} \quad \mathbf{H}\{m \mid m>-5\} \quad \mathbf{J}\{m \mid m<-5\}
4. \qquad

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Problem 595

16. Which inequality has the solution set shown in the graph?
F y<1y<1 G y1y \leq 1 Hy>1\mathbf{H} y>1 J y1y \geq 1
16. \qquad 17.
18. Determine which of the ordered pairs are a part of the solution set for the inequality graphed at the right. F (2,1)(2,1) G (1,3)(1,3) J(2,3)\mathrm{J}(-2,-3)

A y<x+2y<-x+2 B y>x+2y>-x+2 A y<x+2y<-x+2 B y>x+2y>-x+2
17. Which inequality has the solution set shown in the graph? C y<x+1y<-x+1 D y>x+1y>-x+1
18. \qquad
19. Which inequality has a solution set of {xx>3\{x \mid x>3 or x<3}x<-3\} ?

A 2x>6|2 x|>6 B 2x<6|2 x|<6 C 2x6|2 x| \geq 6 D 2x6|2 x| \leq 6
19. \qquad

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Problem 596

```latex A sleep disorder specialist wants to test the effectiveness of a new drug that is reported to increase the number of hours of sleep patients get during the night. To do so, the specialist randomly selects 16 patients and records the number of hours of sleep each gets with and without the new drug. The accompanying table shows the results of the two-night study. Construct a 90%90\% confidence interval for μd\mu_{\mathrm{d}}, using the inequality dtcSdn<μd<d+tcSdn\overline{\mathrm{d}}-\mathrm{t}_{\mathrm{c}} \frac{\mathrm{S}_{\mathrm{d}}}{\sqrt{n}}<\mu_{\mathrm{d}}<\overline{\mathrm{d}}+\mathrm{t}_{\mathrm{c}} \frac{\mathrm{S}_{\mathrm{d}}}{\sqrt{n}}. Assume the populations are normally distributed.
Calculate dd for each patient by subtracting the number of hours of sleep with the drug from the number without the drug. The confidence interval is \square hr<μd<\mathrm{hr}<\mu_{\mathrm{d}}< \square hr. (Round to two decimal places as needed.)
The data on hours of sleep with and without the drug is as follows:
\begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline Patient & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 \\ \hline \begin{tabular}{l} Hours of \\ sleep (without \\ the drug) \end{tabular} & 3.1 & 2.7 & 4.5 & 4.4 & 1.9 & 2.4 & 2.8 & 3.4 & 3.5 & 3.6 & 2.8 & 1.9 & 4.6 & 5.1 & 2.2 & 2.1 \\ \hline \begin{tabular}{l} Hours of \\ sleep (using \\ the drug) \end{tabular} & 3.8 & 4.4 & 5.4 & 6.3 & 2.6 & 3.3 & 4.1 & 5.5 & 5.3 & 5.8 & 3.5 & 4.1 & 5.3 & 6.5 & 4.6 & 4.5 \\ \hline \end{tabular} ```

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Problem 597

19. Which inequality has a solution set of {xx>3\{x \mid x>3 or x<3}x<-3\} ?
A 2x>6|2 x|>6 B 2x<6|2 x|<6 C 2x6|2 x| \geq 6 D 2x6|2 x| \leq 6 19.

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Problem 599

Would you Fail to Reject HO\mathrm{H}_{\mathrm{O}}, or Reject HO\mathrm{H}_{\mathrm{O}} and Accept H1\mathrm{H}_{1} under the following conditions?
Critical value is 2.06 and -2.06 Test statistic is -2.09

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Problem 600

x2<3|x-2|<3

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