Math

Problem 55601

Two balloons start climbing at different rates. When do they reach the same altitude? Gold: 2 m/s, Purple: 2.5 m/s.

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Problem 55602

Calculate the range, variance, and standard deviation for these costs: 39, 50, 50, 60, 60, 95, 95, 155, 180, 202, 265, 300, 450, 1750, 2750. Identify outliers and their impact on variation.

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Problem 55603

Calculate (13)5\left(\frac{1}{3}\right)^{5}. Choose from: 53\frac{5}{3}, 181\frac{1}{81}, 127\frac{1}{27}, 1243\frac{1}{243}.

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Problem 55604

Four professors (D, E, F, H) ran for chair. Votes: D=30, E=24, F=21, H=11. Who wins using plurality-with-elimination? A. F B. H C. E D. D

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Problem 55605

Find the slope of the line from the equation 3x+8y=12-3x + 8y = 12. A. 83-\frac{8}{3} B. 38-\frac{3}{8} C. 38\frac{3}{8} D. 83\frac{8}{3}

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Problem 55606

Nayeli proofs 75 pages at 11/hour, Filémon edits 40 pages at 4/hour. When do they have the same pages left?

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Problem 55607

Find the limit as hh approaches 0 for the difference quotient of: 1. f(x)=x2xf(x)=x^{2}-x, 2. f(x)=1x+3f(x)=\frac{1}{x+3}.

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Problem 55608

Given data: 1, 10, 2, 1, 8, 13, and a missing value. Find mean, median, mode, range, variance, standard deviation, ZZ scores, and describe the shape.

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Problem 55609

Compute the mean, median, mode, range, variance, standard deviation, and ZZ scores for the data set: 1, 10, 2, 1, 8, 13. Are there outliers?

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Problem 55610

Given data: 1,10,2,1,8,131, 10, 2, 1, 8, 13 (n=6). Find mean, median, mode, range, variance, standard deviation, Z scores, and data shape.

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Problem 55611

Calculate 11311^3. Options: 33, 121, 1,331, 177,144.

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Problem 55612

Select the correct expression for three-fourths raised to the eighth power:
(34)8 \left(\frac{3}{4}\right)^{8}

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Problem 55613

Given salaries of 30 employees, identify measures of central tendency: a) for proving underpayment, b) for proving fair pay, c) fairest measure.

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Problem 55614

Given data: n=6n=6, values: 1, 10, 2, 1, 8, 13.
a. Find mean, median, and mode. b. Calculate range, variance, standard deviation, and coefficient of variation. c. Compute Z\mathrm{Z} scores and identify outliers. d. Describe data shape. CV=%\mathrm{CV}=\square \% (Round to three decimal places.)

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Problem 55615

Order the numbers from least to greatest: {18,18,13,17,15}\left\{-\frac{1}{8}, \frac{1}{8},-\frac{1}{3}, \frac{1}{7},-\frac{1}{5}\right\}. Which set is correct?

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Problem 55616

Identify the base and exponent for nnnnn \cdot n \cdot n \cdot n. Options: n4n^{4}, 4n44 n^{4}, 4n4 n, n4\frac{n}{4}.

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Problem 55617

Solve the compound inequality: 4x16-4 x \leq -16 or 4x1284 x - 12 \geq 8. What is the solution?

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Problem 55618

If HH is a linear function, what is H(11)H(5)H(11)-H(5) equivalent to? (A) H(11)+H(5)H(11)+H(5) (B) H(11)H(5)6\frac{H(11)-H(5)}{6} (C) H(14)H(8)H(14)-H(8) (D) H(115)H(11-5)

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Problem 55619

Determine if sets AA and BB are equal: A={3.1,1.1,1.8,2.8}A=\{3.1,-1.1,1.8,-2.8\} and B={1.1,1.8,3.1}B=\{-1.1,1.8,3.1\}.

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Problem 55620

Convert 952 g to mg. What is the value? Use the conversion: 1 g=1000 mg1 \mathrm{~g} = 1000 \mathrm{~mg}.

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Problem 55621

Given data: n=6n=6, values: 1, 10, 2, 1, 8, 13.
a. Find mean, median, mode. b. Find range, variance, standard deviation, CV. c. Calculate Z\mathrm{Z} scores and identify outliers. d. Describe data shape.
Compute CV: CV=%\mathrm{CV}=\square \%. Round to three decimal places.

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Problem 55622

Analyze the graph of f(x)=(x+7)2+5f(x)=-(x+7)^{2}+5. Is the rate of change increasing or decreasing? Explain.

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Problem 55623

Given data: 1, 10, 2, 1, 8, 13. Find mean, median, mode, range, variance, standard deviation, Z scores, and CV. Are there outliers?

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Problem 55624

Convert 0.574 m to cm. What is the value in cm?

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Problem 55625

Calculate 13213^2. Choices: 169, 26, 8192, 24.

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Problem 55626

Choose the correct expression: (18)3(\frac{1}{8})^{3} is one-eighth cubed or the cube of one-eighth.

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Problem 55627

Given data: 1, 10, 2, 1, 8, 13.
a. Find mean, median, mode. b. Find range, variance, standard deviation, coefficient of variation. c. Calculate Z scores and identify outliers. d. Describe data shape.
Coefficient of variation: CV=89.022%\mathrm{CV}=89.022\%.

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Problem 55628

Solve the compound inequality x<2x<2 and x>3x>-3. Graph the solution and write it in interval notation.

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Problem 55629

Convert 5.287 L5.287 \mathrm{~L} to milliliters (mL\mathrm{mL}).

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Problem 55630

What is the probability that a randomly chosen patient was satisfied or had brain surgery? Round to 3 decimal places.

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Problem 55631

Jodi invested \$497.50 at 3.5% simple interest. What is her investment worth in one year? Options: \$17.41, \$501.00, \$1,741, \$514.91.

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Problem 55632

Choose the correct expression for 11911^{9} from the options provided.

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Problem 55633

Convert 35/1635 / 16 to a mixed number and calculate total length for 7 pieces of 5345 \frac{3}{4}" keystock.

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Problem 55634

Find the geometric mean of stock returns 15%15\% and 50%50\%. Result: %\square\% (round to one decimal place).

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Problem 55635

Kasey earns \$865 weekly. Calculate Social Security tax withheld at 4.2\% on earnings up to \$110,100. Options: \$1,889.16, \$36.33, \$78.72, \$157.43.

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Problem 55636

Simplify: 72÷9+7272 \div 9 + 7^{2}

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Problem 55637

Convert 785.3 km785.3 \mathrm{~km} to meters.

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Problem 55638

Is BB a subset of AA? A = {-2, -4, -6, -8}, B = {-2, 4, -6, -8}. Answer Yes or No.

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Problem 55639

Convert 872 km to mm. Use the conversion factor: 1 km = 1,000,000 mm.

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Problem 55640

Select the correct expression for 565^{6}: five times six, six to the fifth power, five to the sixth power, or five to the one-sixth power?

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Problem 55641

Select a base and exponent: (8)(8)(-8) \cdot (-8), (8)2(-8)^{2}, 8(8)2-8(-8)^{2}, 828^{2}, 64264^{2}.

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Problem 55642

Lindsey invested \$3,250 at 6.5% annual compound interest. What is her investment worth in 4 years? Options: \$845, \$4,181.02, \$211.25, \$4,095.

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Problem 55643

Anthony invests \$3,000 yearly for 35 years at 7.2\% interest, compounded monthly. What will his account total?

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Problem 55644

Calculate (2)8(-2)^{8}. Choose from: -128, 256, -16.

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Problem 55645

Find a linear equation for two numbers where one exceeds the other by 2 and their sum is 36. Use xx as the variable.

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Problem 55646

Find the geometric mean of stock returns: 5%5\% and 40%40\%. Result: %\square\% (round to one decimal place).

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Problem 55647

How much do 11 toy parts cost if 2 parts are \$0.90, 7 parts are \$3.15, 12 parts are \$5.40, and 15 parts are \$6.75?

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Problem 55648

Find the solution set for x<2x<2 and x>3x>-3. A. The solution set is (>k<3)(>k<3).

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Problem 55649

מה הגבול של (x3+x23x)\left(\sqrt[3]{x^{3}+x^{2}}-x\right) כש-xx מתקרב למינוס אינסוף?

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Problem 55650

Compare two data sets: I has mean \$245, SD \$30; II has mean 30 min, SD 5 min. a) Why use CV for comparison? b) Which has larger variation?

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Problem 55651

Find the exact values of the other trigonometric functions for θ\theta given that tanθ=125\tan \theta=\frac{12}{5} and sinθ<0\sin \theta<0.

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Problem 55652

Find the domain of the rational function R(x)=7(x22x3)8(x29)R(x)=\frac{7\left(x^{2}-2 x-3\right)}{8\left(x^{2}-9\right)}.

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Problem 55653

Find the length of each of the two equal sides in a 5-sided figure with a perimeter of 45.56 m and other sides summing to 24.2 m.

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Problem 55654

Evaluate the piecewise function ff at x=3x=3 to check if it's continuous and differentiable. What is true about ff at x=3x=3?

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Problem 55655

Calculate Laura's annual Medicare tax withheld from her monthly salary of \$4,625 at a rate of 1.45\%. Choices: \$67.06, \$33.53, \$804.75, \$15.48.

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Problem 55656

Find the equation for total cost MM in dollars to deliver xx cubic yards of mulch: M=46x+23M = 46x + 23.

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Problem 55657

Calculate the mass of NaCl\mathrm{NaCl} needed for 0.1 L of a 0.5 M solution. Molecular weight is 58.44 g58.44 \mathrm{~g}.

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Problem 55658

Calculate 72+1052+107^{2}+10 \cdot 5^{2}+10.

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Problem 55659

Find the unknown product X in the reaction 1226Mg+11p24α+X{}_{12}^{26} \mathrm{Mg}+{}_{1}^{1} \mathrm{p} \rightarrow{}_{2}^{4} \alpha+\mathrm{X}, conserving atomic number and mass.

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Problem 55660

A customer orders 10 pipe brackets needing 423/442-3 / 4^{\prime \prime} of pipe each. How much total pipe is required in feet and inches?

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Problem 55661

Tyler walked 3383 \frac{3}{8} miles on Monday and 2562 \frac{5}{6} on Tuesday. What is his total walking distance?

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Problem 55662

A customer wants as many 61/461 / 4^{\prime \prime} pieces of 1/21 / 2'' roundstock from a 48'' piece. How many can you provide?

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Problem 55663

Define a linear equation for the monthly cost CC based on minutes mm for a plan costing \$11.00 plus \$0.17 per minute. If the bill is \$34.50, how many minutes were used?

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Problem 55664

Solve for bb in the equation: 3(b8)=33(b-8)=-3. What is the value of bb?

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Problem 55665

Jacey has 3 containers (3 in x 4 in). How many inches of mulch does she need for the tops?

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Problem 55666

A customer wants 61/461 / 4^{\prime \prime} pieces of 1/21 / 2' roundstock from a 4848^{\prime \prime} piece. How many can you provide, considering 1/8"1 / 8^{\text{"}} waste?

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Problem 55667

Given that f(x)f(x) is continuous at x=9x=-9 with f(9)=3f(-9)=3 and f(9)=1f^{\prime}(-9)=-1, which statements are true?
1. f(x)f(x) is differentiable at x=9x=-9
2. limx3f(x)=9\lim _{x \rightarrow 3} f(x)=-9
3. limx9f(x)=3\lim _{x \rightarrow -9} f(x)=3
4. None of the above.

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Problem 55668

Solve for dd in the equation 4=d+934=\frac{d+9}{3}. What is dd?

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Problem 55669

Define a linear equation for monthly cost CC based on data dd in GB: C=24+5.5dC = 24 + 5.5d. If C=42.50C = 42.50, find dd.

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Problem 55670

A cash register has quarters and \$20 bills. There are 3 times as many quarters as \$20s. Total is \$166. How many \$20s?

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Problem 55671

Identify the angles with vertex at AA. Check all that apply: A. ACB\angle A C B, B. ABC\angle A B C, C. CAB\angle C A B, D. BAC\angle B A C.

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Problem 55672

Find the slope of the line through points J(1,-4) and K(-2,8). Options: A. -4 B. -2 C. 14-\frac{1}{4} D. 14\frac{1}{4} E. 4

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Problem 55673

Solve for jj in the equation: 19j18j=1219j - 18j = 12. What is the value of jj?

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Problem 55674

Solve for aa: 27=12+a-27=-12+a

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Problem 55675

Given g(x)g(x) is differentiable at x=3x=-3 with g(3)=9g(-3)=9 and g(3)=0g'(-3)=0, which statements are true?

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Problem 55676

Solve for yy in the equation 11y8y2=1011y - 8y - 2 = 10. Find y=y = \square.

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Problem 55677

A truck moves at 57 mph for 342 miles. Use d=rtd = r t to find the travel time in hours.

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Problem 55678

Solve for bb: b44=4\frac{b - 4}{4} = 4

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Problem 55679

Find the midpoint of GH\overline{\mathrm{GH}} with endpoints G(14,3)G(14,3) and H(10,6)H(10,-6). Choices: A. (6,15)(6,-15) B. (2,92)\left(-2,-\frac{9}{2}\right) C. (12,32)\left(12,-\frac{3}{2}\right) D. (24,3)(24,-3) E. (18,12)(18,12).

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Problem 55680

Calculate the expression (10+22)621(10 + 2 - 2) \cdot 6^{2} - 1.

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Problem 55681

Calculate the expression: (10+22)621(10+2-2) \cdot 6^{2}-1.

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Problem 55682

False. Perpendicular lines intersect at one point.

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Problem 55683

Find missing values A, B, C, and D in the ratio table: A, 18, 30, C, 3; 7, B, 5, 4, D.

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Problem 55684

A truck travels 456 miles in 8 hours. Use d=rtd=rt to find the average speed in mph. What is the speed?

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Problem 55685

Is it true or false that a line extends infinitely in both directions?

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Problem 55686

Find the width and length of a rectangle where length = 3w+93w + 9 and perimeter = 178 inches.

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Problem 55687

Is it true or false that the intersection of three planes can be a line segment?

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Problem 55688

Solve the system: a3b=24a - 3b = 24 and a+2b=16a + 2b = -16.

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Problem 55689

Is it true or false that the intersection of a plane and a line can be a ray?

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Problem 55690

Find the domain of h(x)=52x+10h(x)=\frac{5}{\sqrt{2 x+10}} in set builder notation.

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Problem 55691

What is the independent variable in the light color plant growth experiment? A. Natural light plants B. Color of light C. Plant growth D. Type of plants

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Problem 55692

Calculate 49760225\frac{49}{7} \cdot \frac{60^{2}}{2 \cdot 5}.

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Problem 55693

Is this statement true or false? A plane is two-dimensional. true or false?

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Problem 55694

When you multiply 104.3 by 10, it shifts the decimal right: 104.3×10=1,043104.3 \times 10 = 1,043. Why does 104.3×0.10=10.43104.3 \times 0.10 = 10.43?

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Problem 55695

Is this true or false? A line segment extends forever.

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Problem 55696

Find the equation of a line through point A(3,8)A(3,8) that is perpendicular to line segment BC\overline{BC}. y=x+y=\square x+

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Problem 55697

Find values of aa and bb for the piecewise function to be continuous and differentiable everywhere:
f(x)={x8,x<123x2+ax+b,x1 f(x)=\left\{\begin{array}{ll} -x-8, & x<1 \\ \frac{2}{3} x^{2}+a x+b, & x \geq 1 \end{array}\right.
Answer: a=a= and b=b=

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Problem 55698

The rectangle's length is 13 less than twice the width, with a perimeter of 154 yards. Find width and length. Width == Length ==

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Problem 55699

Find the dimensions of a rectangular garden that is 10ft10 \mathrm{ft} longer than its width and has an area of 200ft2200 \mathrm{ft}^{2}.

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Problem 55700

Calculate the probability of drawing 2 chocolates from a bag with 12 chocolates, 5 gums, and 4 taffies. Round to three decimals.

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