Questions on Word Problems: Translating English into Algebreze answered by real tutors!

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Question 77273: Suppose the height of a golf ball is described after initial velocity from the ground of 4.9 m/sec. Write the equation for describing the geight of the ball after t seconds have elapsed. By graphing, predict how long it will be before the ball returns to the ground.
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Question 77818: 1. I need three measures of central tendency—the mean, the median, and the mode—are more appropriate for certain populations than others.
I need to look on the in ternet. For each type of measure, give two examples of populations where it would be the most appropriate indication of central tendency.
2. Find the mean, median, and mode of the following data set:
5 15 9 22 67 42 2 72 81 53 6 70 41 9 42 23
3. Sometimes, we can take a weighted approach to calculating the mean. Take our example of high temperatures in July. Suppose it was 98°F on 7 days, 96°F on 14 days, 88°F on 1 day, 100°F on 6 days and 102°F on 3 days. Rather than adding up 31 numbers, we can find the mean by doing the following:
Mean = ( 1 x 88 + 14 x 96 + 7 x 98 + 6 x 100 + 3 x 102) / 31
…where 1, 14, 7, 6, and 3 are the weights or frequency of a particular temperature’s occurrence. Then we divide by the total of number of occurrences.
Suppose we are tracking the number of home runs hit by the Boston Red Sox during the month of August:
Number of Games HRs Hit each Day
2 3
5 2
6 1
7 0
Using the weighted approach, calculate the average number of home runs per game hit by the Sox.

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Question 78014: Hi!!! guys I have a couple of questions if you do not mine answer.
I understand that central tendency use frequently the mean of population to measured, so if I want to analyze data always came from population. For example if I am interested in the average high temperature in July. Now, the mean would be the total of these temperatures divide by 31.
Suppose you calculate a mean of a population and you want to know how representative that mean is of a random data point in that population. In other words, is the data bunched tightly around the mean, or is it more loosely distributed over the possible range of values? An example would be high temperatures in July versus high temperatures in April or October. In general, the highs in April and October will vary more widely from the means in those months than the highs in July. It takes not only the mean to adequately describe a population, but there must be some way to measure the dispersion, or distribution, of the data around the mean.
1. What is distribution of a data population?
2. I need to find the statistic that measures the width of dispersion ("looseness" or "tightness") of the population data about its mean. I need tow examples or one of the type of situation where this statistic might be important to making good decisions about the population under study to explain my friend that she don’t have internet access.

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Question 78434: In the "firrst quater of the year" means Januryary,Febrruary, and March. The "second quater" is April,May,and June.


Achme Reaaltors sold 23 houses during the first quater of the year and again duyring the last quater. Sales during the middle quater was not quite as good, so that tht the annual sales was 57 houses. b &B realty compaly sold 50 homes during the second quater and hald that many during the forth quater, for a total annual sales of 75 homes. Arco sold as many houes during the thurd quater as B&B sold during the entire year, but during the other three quaters they did no better then b&b during the first quater. Toget the tgree cinoabues sikd 79 giyses during the third quater.
How many houses did the three companies sell during the second quater?

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Question 78671: I need to figure out how can I solve this problems? can any body help to me or any idea? really I need a tutorial to solve this problems.
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1. Consider the graph of y = tan x.
(a) How does it show that the tangent of 90 degrees is undefined?
(b) What are other undefined x values?
(c) What is the value of the tangent of angles that are close to 90 degrees (say 89.9 degrees and 90.01 degrees)?
(d) How does the graph show this?
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2. A nautical mile depends on latitude. It is defined as length of a minute of arc of the earth's radius. The formula is N(P) = 6066 - 31 cos 2P, where P is the latitude in degrees.
(a) Using the Library and other course resources, find the exact latitude (to 4 decimal places) of where you live, used to live, work, or used to work (include the zip code).
(b) Using the latitude found in part a and the formula N(P), find the length of a nautical mile to the nearest foot at that location.
(c) Next, use the formula N(P) to find the latitude where the nautical mile is 6051 feet.
(d) Name two cities in the Northern Hemisphere and two in the Southern that are close to the latitude found in part c.
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3. When graphed using polar coordinates, the center of a regular nonagon is at the origin and one vertex is at (6, 0 degrees) or (6, 0 radians). Find the polar coordinates of the other vertices in both degrees and radians.
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I traying to use this polar cordination to solve all the problems, but i'am lost I want to learn Trigo. I need hlep.

The polar cordination
http://www.analyzemath.com/polarcoordinates/polarcoordinates.html

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Question 79042: one positive integer is 4 more than another. the sum of their squares is 40. Find the numbers.

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Question 79054: Ching leaves San Francisco and travels toward Los Angeles at 50 mi/h. An hour later, Phil leaves Los Angeles and travels toward San Francisco at 60 mi/h. If the two cities are 380 miles apart, how many hours will it take for Ching to meet Phil?
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Question 79411: The sum of two squares equal 289. One number is 7 more than the other.
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Question 79895: one angle has five times as many degrees as another angle. the greater angle has 120 degrees more than the lesser angle.how many degrees are in both angles?
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Question 80008: I just need to know how to right this into a math problem. Here it is:
John now has two investments that produce a $150 income each month. If $1,000 more is invested at 9% than at 10% per year, how much was invested at each percent? There were 12 months in that year.

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Question 80181: In most businesses, increasing prices of their product can have a negative effect on the number of customers of the business. A bus company in a small town has an average number of riders of 1,000 per day. The bus company charges $2.00 for a ride. They conducted a survey of their customers and found that they will lose approximately 50 customers per day for each $.25 increase in fare.
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Question 80202: A group of people could rent a social hall for $480. When 14 more people join the venture, the cost per person is decreased by $14. How many total people are in the group?
(Hint: Let X + 14 equal the total number of people in the group)
I do not understand how to set this up. If you could please help, Thank you.

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Question 81241: A boy has 3 red marble in his pocket, 4 blue marbles, and 4 green marbles. How many will he have to take out of his packet to ensure that he has one of each color?
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Question 81240: You are lying 120 ft away from a tree that is 50 feet tall. You look up at the top of the tree. Approximately how far is your hear from the top of the tree in a straight line?
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Question 81240: You are lying 120 ft away from a tree that is 50 feet tall. You look up at the top of the tree. Approximately how far is your hear from the top of the tree in a straight line?
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Question 81239: In a writing competition, the first place winner receives ½ of the prize money. The second runner up receives ¼ of what the winner won. What was the total amount of prize money distributed if the winner receives $6,000?
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Question 81239: In a writing competition, the first place winner receives ½ of the prize money. The second runner up receives ¼ of what the winner won. What was the total amount of prize money distributed if the winner receives $6,000?
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Question 81410: the length of a rectangular playing field is is 5ft less than twice its width.If the perimeter of the playing field is 230ft, find the length and width of the field.
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Question 82352: A full grown giraffe is about 6 times heavier than a full grown lion. A full grown cheetah is about one quarter as heavy as a full grown lion. together, they are about 450kg. what is the approximate mass of each animal.
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Question 82748: A painting measuring 12 inches by 18 inches is surrounded by a frame of uniform width. If the combined area of the painting and the frame is 432 square inches, determine the width of the frame.
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Question 82926: Sal raises pigs and chickens. She has 420 creatures, with a total of 1240 legs. How many pigs does Sal raise?
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Question 82932: If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?
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Question 83382: According to Safecarguide.com, the average value of a new car after one year is seven-tenths of its original price. Write an equation representing the price (p) in dollars of a 1 year old car in terms of its original price(x).
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Question 83460: if 3x=6x-15 then x+8=?
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Question 83459: 3x-6x=-15 x=??
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Question 83482: Johnathan can type a 20 page document in 40 minutes. Susan can type it in 30 minutes, and Jack can type it in 24 Minutes. Working together, how much time will it take them to type the same document?
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Question 84575: 1/2 of a number minus 6 equals 3
1/2 N -6 = 3
1/2n-6=3

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Question 84688: Kewin has $2.15 in dimes and quarter. He has 3 less dime than quarters. How many of each does he have?
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Question 84879: If the quotient of a number and 6 is added to twice the number, the result is 8 less than the number. Find the number.
I set it up like x/6 +2x = x-8, but when I check it it doesn't equal.

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Question 84899: Investing her bonus: Donna invested her $33,000 bonus and received a total of $970 in interest after one year. If part of the money returned 4% and remainder 2.25%, then how much did she invest at each rate?
I need to solve this using a linear equation.

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Question 84935: My question is on page 775 number 2.
It says Write using, symbols: 2. c decreased by 10

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Question 84900: Ticket sales: Tickets for a concert were sold to adults for $3 and to students $2. If the total receipts were $824 and twice as many adult tickets as student tickets were sold, then how many of each were sold ?
Solving this as a linear equation

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Question 84951: Sean has 103 coins consisting of nickels,dimes and quarters. the number of dimes is one less than twice the number of nickels and the number of quartes is two more than three times the number of nickels. how many ocins of each kind does he have?
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Question 85197: x represents the number of textbooks purchased at $27 per book, and y represents the total amount of money spent on textbooks. After writing an equation for this situation, what is the cost of 4 textbooks?
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Question 84957: Solve problem using an absolute value equation or inequality
In 1985 Steve Cram set a world record of 3 minutes 29.67 seconds for the 1500 –meter race and a world record of 3 minutes 46.31 seconds for the 1-mile race.
Suppose you know only that these two events occurred 11 days apart and that the 1500 meter record was set on July 16. Use an absolute value equation to find the possible dates for the 1-mile record run.



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Question 85774: Two cars leave at the same time from towns that are 180 miles apart traveling toward each other. One car travels 10 mph faster than the other. They meet each other after two hours. Find the speed of the faster car.
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Question 85775: Lynn Ogen invested some money at 9% interest and $100 less than that at 7% interest. Her total annual interest was $73. How much did she invest at 7% interest?
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Question 85902: The difference of twice a number and five is equal to the square of the difference of the number and fifteen. What is the number?
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Question 85992: Every month, a girl gets allowance. Assume last year she had no money, and kept it up to now. Then she spends 1/2 of her money on clothes, then 1/3 of the remaining money on games, and then 1/4 of the remaining money on toys. After she bought all of that, she had $7777 left. Assuming she only gets money by allowance, how much money does she earn every month?
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Question 86099: When the parking garage opened in the morning there were 100 cars in a lot A and 20 cars in lot B. after the attendant moved 20 cars from a lot A into lot B what was the ratio of the number of cars in lot A to the number of cars in lot B?
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Question 86106: round 907.457 to the nearest tens place.? need help with this one please
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Question 86113: in a writing competition,the first place winner recives 1/2 of the prize money.the second runner up recives 1/4 of what the winner won.what was the total amount of prize money distributed if the winner recives $6,000? Answer: a:$6000 b:$8,500 c:$12,000 d:$15,000 e:$18,500
need help asap please help

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Question 86108: in a writing competition,the first place winner receives 1/2 of the prize money.the second runner up receives 1/4 of what the winner won. what was the total amount of prize money distributed if the winner receives $6,000? please need help with this one
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Question 86107: the lenght and width of dr. Morganstern's rectangular garden are 3m feet and 4m feet,respectively.what is the area of the garden,in square feet?
Please help me with this one thankyou.

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Question 86096: milicent wants to build a fence around her flower garden, which is shaped like a right triangel, if one leg of the triangle is 6 feet long and the other is 8 feet long,how many feet of fencing will she need to finish the project?
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