Word Problems

Problem 4901

How many pairwise comparisons are needed to find a winner among 10 candidates in an election? (Type an integer.)

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Problem 4902

Find the width of the path around a 40 ft by 60 ft pool if the total perimeter is 248 ft.

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Problem 4903

Is it possible for a candidate with a majority of votes to lose an election using plurality-with-elimination? Explain.

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Problem 4904

Does it make sense that a candidate with a plurality of votes lost using the Borda count method? Explain.

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Problem 4905

Can a candidate with a majority lose using the plurality method? Explain your reasoning. Choose A, B, C, or D.

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Problem 4906

An elevator can hold 2800 pounds. With an operator at 265 pounds, how many 65-pound cement bags can it lift?

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Problem 4907

A town votes on smoking regulations: options A (unrestricted), B (designated areas), C (ban). Use Borda count to analyze. What wins?

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Problem 4908

Determine if this statement is valid: A candidate got the most first-place votes but lost. Explain your choice.

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Problem 4909

Determine if this statement is logical: A candidate favored in head-to-head matchups lost the election. Choose A, B, C, or D.

See Solution

Problem 4910

Evaluate if the election statement is logical. Choose: A. Makes sense; B. Doesn't make sense (irrelevant alternatives); C. Doesn't make sense (monotonicity); D. Makes sense (monotonicity).

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Problem 4911

Evaluate if the approval voting method meets fairness criteria and choose the correct explanation from options A-D.

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Problem 4912

Find the percentage of buyers who paid between \ $22,500 and \$24,500, given a mean of \$22,500 and std dev of \$1000. The percentage is$ \square \%$.

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Problem 4913

Convert 98 to a $z$ -score for a normal distribution with mean 80 and standard deviation 12. $z_{98}=$

See Solution

Problem 4914

Find the percentage of buyers who paid between \$22,500 and \$24,500 using the normal distribution with mean \$22,500 and SD \$1000.

See Solution

Problem 4915

Find the percentage of buyers who paid more than \ $17,500 for a car with a mean of \$16,500 and SD of \$1000. Answer:$ \square \%$.

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Problem 4916

Compare IQs using z-scores: Test A (mean 100, SD 14) score 127 vs Test B (mean 100, SD 16) score 130. Who is higher?

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Problem 4917

A company makes smartphones A and B. Find break-even points, optimal production for max profit, and total profit for 1,000 units.

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Problem 4918

Find the data item for a normally distributed set with mean 300, SD 60, at $z$ -score $z=-1.5$ .

See Solution

Problem 4919

Which question is NOT answerable by chemistry? a) How to produce a material efficiently? b) Why does matter exist? c) What is a substance made of? d) Is a substance harmful to humans? Check It

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Problem 4920

Calculate the product of $3 + 5i$ and its conjugate, then express the result in the form $a + bi$ .

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Problem 4921

Calculate the z-score for a murder rate of 29 per 100,000 residents with a mean of 4.87 and standard deviation of 3.8. Round to one decimal place.

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Problem 4922

Test 10 fridge temperatures: $37.8, 38.3, 38.1, 38.0, 37.6, 38.2, 38.0, 38.0, 37.4, 38.3$ . Is it accurate (yes/no) and precise (yes/no)?

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Problem 4923

Create a dot plot in Excel for the data: 12, 3, 4, 8, 4, 4, 5, 5, 11, 8, 3, 3, 12, 5, 5, 10, 8, 10, 6, 6, 6, 6, 2, 2, 16, 8, 8. Interpret the plot.

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Problem 4924

If 15 boys finish work in 60 days, how many boys are needed for the same work in 20 days?

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Problem 4925

How many cows did Bill get if Dan has 42 cows and they split them in a 5:7 ratio?

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Problem 4926

Bill and Dan split cows in a 5:7 ratio. If Dan has 42 cows, how many does Bill have, and what’s the total?

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Problem 4927

(a) Find $AD$ given $\tan 50^{\circ} = \frac{AD}{12}$ , where $AD = 14.30$ . (b) Calculate angle $BAC$ and verify it rounds to $40.42^{\circ}$ . (c) Determine the area of quadrilateral $ABCD$ . (d) Find the shortest distance from $B$ to line $AC$ .

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Problem 4928

Divide 72 in the ratio of $5:7$ .

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Problem 4929

Round the numbers 2005.0043 and 0.010908 to 3 significant figures and express them in scientific notation.

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Problem 4930

The lengths of three toy cars are in the ratio $1: 4: 6$ . If the middle car is $12 \mathrm{~cm}$ , find the length of the large car.

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Problem 4931

Express $1058_{10}$ in expanded form and identify the place value of the digit '1' in 105810.

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Problem 4932

What is the smallest four-digit number Emily can make with the cards marked 2, 0, 1, and 9?

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Problem 4933

A ball is thrown from 5 feet high. Its height is modeled by $f(x)=-0.1 x^{2}+0.8 x+5$ . Find the max height and distance from release.

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Problem 4934

Convert the following binary numbers to decimal: 39. $10112$ and 40. $11101_{2}$ .

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Problem 4935

A ball is thrown from 5 feet high. Its height is given by $f(x)=-0.2 x^{2}+1.4 x+5$ . Find its max height and distance from release.

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Problem 4936

A ball is thrown from 7 feet high. Its height is modeled by $f(x)=-0.2 x^{2}+2.1 x+7$ . Find max height and distance.

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Problem 4937

A ball thrown from 5 feet high follows $f(x)=-0.6 x^{2}+2.7 x+5$ . Find its max height and distance from release.

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Problem 4938

A ball is thrown from 6 feet high. Its height is modeled by $f(x)=-0.2 x^{2}+2.1 x+6$ . Find the max height and distance.

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Problem 4939

Arrange $2^{16}, 4^{7}, 8^{5}$ , and $64^{3}$ in ascending order with " $<$ ".

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Problem 4940

A ball is thrown from 8 feet high. Its height is modeled by $f(x)=-0.2 x^{2}+1.7 x+8$ . Find the maximum height and distance.

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Problem 4941

A ball is thrown from 7 feet high. Its height is modeled by $f(x)=-0.1 x^{2}+0.7 x+7$ . Find the max height and distance.

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Problem 4942

A ball is thrown from 8 feet high. Its height is modeled by $f(x)=-0.3 x^{2}+1.7 x+8$ . Find its max height and distance from release.

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Problem 4943

Find the inequality for the number of toy cars $x$ Mr. Schwartz can build before having fewer than 40 wheels: $85 - 4x < 40$ .

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Problem 4944

Calculate BMI with weight $24 \mathrm{~kg}$ and height $123 \mathrm{~cm}$ .

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Problem 4945

Calculate the distance from Uranus to Earth in km, given light speed $3 \times 10^{8} \mathrm{~m/s}$ and time 0.105 day.

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Problem 4946

Find the actual area of a park (8 cm² on a 1:25000 map) in m², expressed in scientific notation.

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Problem 4947

Amy types 38 words/min. She typed 1,450 words. Which inequality finds $x$ , minutes to reach over 4,000 words?

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Problem 4948

A farmer has 200 ft of fence for a 2000 sq ft area made of squares with sides $x$ and $y$ . Find $x$ and $y$ .

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Problem 4949

Danny drives 36 miles, then must drive at 60 mph. Solve $60t + 36 \geq 300$ to find how long he needs. Which is true?

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Problem 4950

A farmer has 100 feet of fence to enclose 500 sq ft with adjoining squares. Find $x$ and $y$ where $y$ is the big square's side. $x=$ $y=$

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Problem 4951

In triangle $ABC$ , with $AB \parallel AC$ , if $\angle BAC = 5x$ and $\angle ABC = 2x$ , find $x$ .

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Problem 4952

Calculate the BMI for a weight of $54 \mathrm{~kg}$ and a height of $1.42 \mathrm{~m}$ .

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Problem 4953

Calculate the BMI for a weight of $42 \mathrm{~kg}$ and a height of $1.48 \mathrm{~m}$ .

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Problem 4954

An oil spill spreads 25 m² every $\frac{1}{6}$ hour. What is the total area after 2 hours?

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Problem 4955

Calculate the BMI for a person weighing $56 \, \text{kg}$ and measuring $1.42 \, \text{m}$ tall.

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Problem 4956

Find the distance a train travels in 3 hours if it goes 10 miles every $\frac{1}{4}$ hour.

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Problem 4957

There are 180 white lockers and a ratio of 3:5 with blue lockers. Find the total number of lockers in the school.

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Problem 4958

Find the number of ways to wear one bracelet and one necklace from 6 bracelets and 15 necklaces.

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Problem 4959

What is the probability of seeing both a butterfly (80%) and a turtle (40%) during a nature center tour?

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Problem 4960

Find the probability of landing on 'a' when spinning a 7-section spinner with 3 sections labeled 'a': $P(a) = \frac{3}{7}$ .

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Problem 4961

Calculate the volume of a triangular prism with side lengths of 8yd, 10yd, and 12yd.

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Problem 4962

A farmer has 250 ft of fence for two adjoining squares with area 3125 sq ft. Find side lengths $x$ and $y$ .

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Problem 4963

A farmer has 250 ft of fencing for 3125 sq ft in two adjoining squares. Find the side lengths $x$ and $y$ .

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Problem 4964

Find the number of ways to arrange 6 train cars after an engine. (Engine is first.) Answer: $6!$ ways.

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Problem 4965

An oil spill spreads 25 m² every $\frac{1}{6}$ hour. What is the area after 2 hours?

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Problem 4966

Estimate the number of employees out of 600 who read at least one book each month if $x$ out of 50 do.

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Problem 4967

There are 180 white lockers. If there are 3 white lockers for every 5 blue lockers, how many total lockers are there?

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Problem 4968

Find the probability of spinning an even number and flipping heads with a spinner and a coin.

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Problem 4969

A farmer has 150 feet of fence to enclose 1125 sq ft with squares of sides $x$ and $y$ . Find $x$ and $y$ . $x=$ $y=$

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Problem 4970

Calculate the volume of a rectangular prism with dimensions 20 in, 10 in, and 12 in using the formula $V = l \times w \times h$ .

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Problem 4971

Is the sample of every 10th person entering the park biased or unbiased for estimating opinions on park remodeling?

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Problem 4972

Name a pair of angles that add up to 180 degrees.

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Problem 4973

A farmer has 150 feet of fence for 1125 sq ft of adjoining squares. Find sides $x$ and $y$ . $x= y=$

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Problem 4974

Étudiez le cas où $\mathbf{b}_{1}=\mathbf{b}_{2}=\mathbf{b}$ . Pour un disque de rayon $5 \mathrm{~mm}$ éclairant un disque de $5 \mathrm{~cm}$ à $50 \mathrm{~cm}$ , calculez les largeurs de l'ombre et de la pénombre à $2 \mathrm{~m}$ . Expliquez les éclipses.

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Problem 4975

A farmer has 300 feet of fence for a 4500 sq ft area of adjoining squares with sides $x$ and $y$ . Find $x$ and $y$ . $x=$ $y=$

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Problem 4976

Calculate the BMI for weight $38 \mathrm{~kg}$ and height $151 \mathrm{~cm}$ .

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Problem 4977

A farmer has 450 feet of fence for two adjoining squares with area 10,125 sq ft. Find the side lengths $x$ and $y$ . $x=$ $y=$

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Problem 4978

In a regular $n$ -sided polygon, the interior angle exceeds the exterior angle by $156^{\circ}$ . Find $n$ .

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Problem 4979

Find the supplementary angle to $(11x+3)^\circ$ .

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Problem 4980

Find the supplementary angle of $\frac{(14x+2)^\circ}{(11x+3)^\circ}$ when $x=19$ .

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Problem 4981

Kevin's age plus his age next year equals 69. How old will he be in 16 years?

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Problem 4982

Find two complementary angles where $(2x-9)^{\circ} + (9x)^{\circ} = 90^{\circ}$ . Simplify your answers.

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Problem 4983

Find three consecutive even integers where the sum of the smallest and middle equals 44 more than the largest.

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Problem 4984

A customer slides a mug off a counter 1.38 m high, landing 0.80 m away. Find the exit velocity and impact direction (below horizontal).

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Problem 4985

Sketch the graph of the quadratic function $f(x)=(x+2)^{2}-9$ . Find the axis of symmetry, domain, and range.

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Problem 4986

Sketch the graph of the quadratic function $f(x)=(x+1)^{2}-9$ . Find the axis of symmetry, domain, and range.

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Problem 4987

Find the rotation rate in revolutions per second for a $32.5 \mathrm{ft}$ radius centrifuge to achieve $20.0 \mathrm{~g}$ acceleration.

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Problem 4988

Sketch the graph of the quadratic $f(x)=(x-2)^{2}-9$ using its vertex and intercepts. Find the axis of symmetry, domain, and range.

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Problem 4989

Find three consecutive odd integers where the sum of the smallest and middle integer equals 51 more than the largest.

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Problem 4990

39 feet of snow melts into how many inches of water? Use the ratio 1.5 feet snow = 2 inches water. Round to the nearest tenth.

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Problem 4991

Find the probability that a randomly chosen student is in chorus given they are not in photography, from 60 students.

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Problem 4992

How many inches will a 7-foot wall be represented in blueprints if studs are marked every 1.5 feet? Round to the nearest tenth.

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Problem 4993

Sketch the graph of $f(x)=(x-4)^{2}-9$ . Find the axis of symmetry, domain, and range.

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Problem 4994

Find the length of each side of an equilateral triangle with a perimeter of 31.5 inches. Each side is $x$ inches.

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Problem 4995

A biologist tagged 168 fish, then caught 201 fish later, finding 22 tagged. Estimate the total fish using proportions.

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Problem 4996

Find the length and width of a rectangular court where length is $9$ ft longer than twice the width and perimeter is $108$ ft.

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Problem 4997

If a store sells 129 ice cream cones, how many are vanilla if 1 in 3 buys vanilla? Round to the nearest whole number.

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Problem 4998

If 1 in 3 ice cream buyers chooses vanilla and a store sells 129 cones, how many are vanilla? Round to the nearest whole number.

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Problem 4999

Find the width and length of a rectangular area fenced along a river, where length is 7 ft more than width and total fencing is 91 ft.

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Problem 5000

Find the probability that a randomly chosen employee has at least one child given they are married: $\mathrm{P}(\text{child} | \text{married})$ .

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Word Problems

Problem 4901

How many pairwise comparisons are needed to find a winner among 10 candidates in an election? (Type an integer.)

Problem 4902

Find the width of the path around a 40 ft by 60 ft pool if the total perimeter is 248 ft.

Problem 4903

Is it possible for a candidate with a majority of votes to lose an election using plurality-with-elimination? Explain.

Problem 4904

Does it make sense that a candidate with a plurality of votes lost using the Borda count method? Explain.

Problem 4905

Can a candidate with a majority lose using the plurality method? Explain your reasoning. Choose A, B, C, or D.

Problem 4906

An elevator can hold 2800 pounds. With an operator at 265 pounds, how many 65-pound cement bags can it lift?

Problem 4907

A town votes on smoking regulations: options A (unrestricted), B (designated areas), C (ban). Use Borda count to analyze. What wins?

Problem 4908

Determine if this statement is valid: A candidate got the most first-place votes but lost. Explain your choice.

Problem 4909

Determine if this statement is logical: A candidate favored in head-to-head matchups lost the election. Choose A, B, C, or D.

Problem 4910

Evaluate if the election statement is logical. Choose: A. Makes sense; B. Doesn't make sense (irrelevant alternatives); C. Doesn't make sense (monotonicity); D. Makes sense (monotonicity).

Problem 4911

Evaluate if the approval voting method meets fairness criteria and choose the correct explanation from options A-D.

Problem 4912

Find the percentage of buyers who paid between \22,500and$24,500,givenameanof$22,500andstddevof$1000.Thepercentageis22,500 and \$24,500, given a mean of \$22,500 and std dev of \$1000. The percentage is 22,500and$24,500,givenameanof$22,500andstddevof$1000.Thepercentageis\square \%$.

Problem 4913

Convert 98 to a zzz-score for a normal distribution with mean 80 and standard deviation 12. z98=z_{98}=z98​=

Problem 4914

Find the percentage of buyers who paid between \$22,500 and \$24,500 using the normal distribution with mean \$22,500 and SD \$1000.

Problem 4915

Find the percentage of buyers who paid more than \17,500foracarwithameanof$16,500andSDof$1000.Answer:17,500 for a car with a mean of \$16,500 and SD of \$1000. Answer: 17,500foracarwithameanof$16,500andSDof$1000.Answer:\square \%$.

Problem 4916

Compare IQs using z-scores: Test A (mean 100, SD 14) score 127 vs Test B (mean 100, SD 16) score 130. Who is higher?

Problem 4917

A company makes smartphones A and B. Find break-even points, optimal production for max profit, and total profit for 1,000 units.

Problem 4918

Find the data item for a normally distributed set with mean 300, SD 60, at zzz-score z=−1.5z=-1.5z=−1.5.

Problem 4919

Which question is NOT answerable by chemistry? a) How to produce a material efficiently? b) Why does matter exist? c) What is a substance made of? d) Is a substance harmful to humans? Check It

Problem 4920

Calculate the product of 3+5i3 + 5i3+5i and its conjugate, then express the result in the form a+bia + bia+bi.

Problem 4921

Calculate the z-score for a murder rate of 29 per 100,000 residents with a mean of 4.87 and standard deviation of 3.8. Round to one decimal place.

Problem 4922

Test 10 fridge temperatures: 37.8,38.3,38.1,38.0,37.6,38.2,38.0,38.0,37.4,38.337.8, 38.3, 38.1, 38.0, 37.6, 38.2, 38.0, 38.0, 37.4, 38.337.8,38.3,38.1,38.0,37.6,38.2,38.0,38.0,37.4,38.3. Is it accurate (yes/no) and precise (yes/no)?

Problem 4923

Create a dot plot in Excel for the data: 12, 3, 4, 8, 4, 4, 5, 5, 11, 8, 3, 3, 12, 5, 5, 10, 8, 10, 6, 6, 6, 6, 2, 2, 16, 8, 8. Interpret the plot.

Problem 4924

If 15 boys finish work in 60 days, how many boys are needed for the same work in 20 days?

Problem 4925

How many cows did Bill get if Dan has 42 cows and they split them in a 5:7 ratio?

Problem 4926

Bill and Dan split cows in a 5:7 ratio. If Dan has 42 cows, how many does Bill have, and what’s the total?

Problem 4927

Problem 4928

Divide 72 in the ratio of 5:75:75:7.

Problem 4929

Round the numbers 2005.0043 and 0.010908 to 3 significant figures and express them in scientific notation.

Problem 4930

The lengths of three toy cars are in the ratio 1:4:61: 4: 61:4:6. If the middle car is 12 cm12 \mathrm{~cm}12 cm, find the length of the large car.

Problem 4931

Express 1058101058_{10}105810​ in expanded form and identify the place value of the digit '1' in 105810.

Problem 4932

What is the smallest four-digit number Emily can make with the cards marked 2, 0, 1, and 9?

Problem 4933

A ball is thrown from 5 feet high. Its height is modeled by f(x)=−0.1x2+0.8x+5f(x)=-0.1 x^{2}+0.8 x+5f(x)=−0.1x2+0.8x+5. Find the max height and distance from release.

Problem 4934

Convert the following binary numbers to decimal: 39. 101121011210112 and 40. 11101211101_{2}111012​.

Problem 4935

A ball is thrown from 5 feet high. Its height is given by f(x)=−0.2x2+1.4x+5f(x)=-0.2 x^{2}+1.4 x+5f(x)=−0.2x2+1.4x+5. Find its max height and distance from release.

Problem 4936

A ball is thrown from 7 feet high. Its height is modeled by f(x)=−0.2x2+2.1x+7f(x)=-0.2 x^{2}+2.1 x+7f(x)=−0.2x2+2.1x+7. Find max height and distance.

Problem 4937

A ball thrown from 5 feet high follows f(x)=−0.6x2+2.7x+5f(x)=-0.6 x^{2}+2.7 x+5f(x)=−0.6x2+2.7x+5. Find its max height and distance from release.

Problem 4938

A ball is thrown from 6 feet high. Its height is modeled by f(x)=−0.2x2+2.1x+6f(x)=-0.2 x^{2}+2.1 x+6f(x)=−0.2x2+2.1x+6. Find the max height and distance.

Problem 4939

Arrange 216,47,852^{16}, 4^{7}, 8^{5}216,47,85, and 64364^{3}643 in ascending order with "<<<".

Problem 4940

A ball is thrown from 8 feet high. Its height is modeled by f(x)=−0.2x2+1.7x+8f(x)=-0.2 x^{2}+1.7 x+8f(x)=−0.2x2+1.7x+8. Find the maximum height and distance.

Find the percentage of buyers who paid between \ $22,500 and \$24,500, given a mean of \$22,500 and std dev of \$1000. The percentage is$ \square \%$.

Convert 98 to a $z$ -score for a normal distribution with mean 80 and standard deviation 12. $z_{98}=$

Find the percentage of buyers who paid more than \ $17,500 for a car with a mean of \$16,500 and SD of \$1000. Answer:$ \square \%$.

Find the data item for a normally distributed set with mean 300, SD 60, at $z$ -score $z=-1.5$ .

Calculate the product of $3 + 5i$ and its conjugate, then express the result in the form $a + bi$ .

Test 10 fridge temperatures: $37.8, 38.3, 38.1, 38.0, 37.6, 38.2, 38.0, 38.0, 37.4, 38.3$ . Is it accurate (yes/no) and precise (yes/no)?

Divide 72 in the ratio of $5:7$ .

The lengths of three toy cars are in the ratio $1: 4: 6$ . If the middle car is $12 \mathrm{~cm}$ , find the length of the large car.

Express $1058_{10}$ in expanded form and identify the place value of the digit '1' in 105810.

A ball is thrown from 5 feet high. Its height is modeled by $f(x)=-0.1 x^{2}+0.8 x+5$ . Find the max height and distance from release.

Convert the following binary numbers to decimal: 39. $10112$ and 40. $11101_{2}$ .

A ball is thrown from 5 feet high. Its height is given by $f(x)=-0.2 x^{2}+1.4 x+5$ . Find its max height and distance from release.

A ball is thrown from 7 feet high. Its height is modeled by $f(x)=-0.2 x^{2}+2.1 x+7$ . Find max height and distance.

A ball thrown from 5 feet high follows $f(x)=-0.6 x^{2}+2.7 x+5$ . Find its max height and distance from release.

A ball is thrown from 6 feet high. Its height is modeled by $f(x)=-0.2 x^{2}+2.1 x+6$ . Find the max height and distance.

Arrange $2^{16}, 4^{7}, 8^{5}$ , and $64^{3}$ in ascending order with " $<$ ".

A ball is thrown from 8 feet high. Its height is modeled by $f(x)=-0.2 x^{2}+1.7 x+8$ . Find the maximum height and distance.

A ball is thrown from 7 feet high. Its height is modeled by $f(x)=-0.1 x^{2}+0.7 x+7$ . Find the max height and distance.

A ball is thrown from 8 feet high. Its height is modeled by $f(x)=-0.3 x^{2}+1.7 x+8$ . Find its max height and distance from release.

Find the inequality for the number of toy cars $x$ Mr. Schwartz can build before having fewer than 40 wheels: $85 - 4x < 40$ .

Calculate BMI with weight $24 \mathrm{~kg}$ and height $123 \mathrm{~cm}$ .

Calculate the distance from Uranus to Earth in km, given light speed $3 \times 10^{8} \mathrm{~m/s}$ and time 0.105 day.

Amy types 38 words/min. She typed 1,450 words. Which inequality finds $x$ , minutes to reach over 4,000 words?

A farmer has 200 ft of fence for a 2000 sq ft area made of squares with sides $x$ and $y$ . Find $x$ and $y$ .

Danny drives 36 miles, then must drive at 60 mph. Solve $60t + 36 \geq 300$ to find how long he needs. Which is true?

A farmer has 100 feet of fence to enclose 500 sq ft with adjoining squares. Find $x$ and $y$ where $y$ is the big square's side. $x=$ $y=$

In triangle $ABC$ , with $AB \parallel AC$ , if $\angle BAC = 5x$ and $\angle ABC = 2x$ , find $x$ .

Calculate the BMI for a weight of $54 \mathrm{~kg}$ and a height of $1.42 \mathrm{~m}$ .

Calculate the BMI for a weight of $42 \mathrm{~kg}$ and a height of $1.48 \mathrm{~m}$ .

An oil spill spreads 25 m² every $\frac{1}{6}$ hour. What is the total area after 2 hours?

Calculate the BMI for a person weighing $56 \, \text{kg}$ and measuring $1.42 \, \text{m}$ tall.

Find the distance a train travels in 3 hours if it goes 10 miles every $\frac{1}{4}$ hour.

Find the probability of landing on 'a' when spinning a 7-section spinner with 3 sections labeled 'a': $P(a) = \frac{3}{7}$ .

A farmer has 250 ft of fence for two adjoining squares with area 3125 sq ft. Find side lengths $x$ and $y$ .

A farmer has 250 ft of fencing for 3125 sq ft in two adjoining squares. Find the side lengths $x$ and $y$ .

Find the number of ways to arrange 6 train cars after an engine. (Engine is first.) Answer: $6!$ ways.

An oil spill spreads 25 m² every $\frac{1}{6}$ hour. What is the area after 2 hours?

Estimate the number of employees out of 600 who read at least one book each month if $x$ out of 50 do.

A farmer has 150 feet of fence to enclose 1125 sq ft with squares of sides $x$ and $y$ . Find $x$ and $y$ . $x=$ $y=$

Calculate the volume of a rectangular prism with dimensions 20 in, 10 in, and 12 in using the formula $V = l \times w \times h$ .

A farmer has 150 feet of fence for 1125 sq ft of adjoining squares. Find sides $x$ and $y$ . $x= y=$