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Question 1007759: With what velocity will a stone strike the ground if dropped from the top of the building 400 ft high?Solve by integration.
Click here to see answer by rothauserc(4718)

Question 1007735: O is the centre of a circle. Angle AOB is a right angle and chord AB = 10cm. Find the radius of the circle (2dps) and calculate the exact value of the shaded area if pi = 3.
Thanks!

Click here to see answer by Alan3354(69443)

Question 1007786: The length of the shadow of a flagpole was found to be 72 feet.The shadow of a 3 foot picket fence in line with the flagpole was 4 feet. What is the height of the flagpole?
Click here to see answer by fractalier(6550)

Question 1007736: A solid cube with edge of length 10cm is dropped beneath the surface of the water in a cylindrical water tank that has a circular base of 1 square metre. Find the resulting increase in the height of the water level in cm.
Please include a clear explanation thanks!
Click here to see answer by Alan3354(69443)

Question 1007804: After Exactly 12o'clock in the noon, what time will the hands of a clock be together again ?
Complete Solution needed as soon as possible .
Best Regards . . . Ajwad

Click here to see answer by fractalier(6550)

Question 1007843: A 6 m by 9 m swimming pool is surrounded by a deck which has a constant width. How wide is the deck if its area equals the area of the pool?
Click here to see answer by fractalier(6550)

Question 1007999: A certain brand of tomato seeds has a 0.75 probability of germinating. To increase the chance that at least one tomato plant per seed hill germinates, a gardener plants four seeds in each hill. (Round your answers to five decimal places.)

(a) What is the probability that at least one seed will germinate in a given hill?
(b) What is the probability that two or more seeds will germinate in a given hill?
(c) What is the probability that all four seeds will germinate in a given hill?

Click here to see answer by stanbon(75887)

Question 1008088: In the shell game, there are 3 large shells. A ball is placed under one of the shells, and the shells are moved quickly on a table. To play the game, you guess under which shell the ball is. You pay $3 to play the game. If you win, you get $5 back; if you lose, you get no money back. What is the expected value per game (mathematical expectation)?
Click here to see answer by Boreal(15235)

Question 1008087: A history quiz had 8 multiple choice questions. Each question has 4 answer choices. A student has forgotten that the quiz was to tale place and guesses at all of the answers.

a) Find the probability that the student gets exactly 5 of the 8 questions correct.
b) Find the probability that the student gets at least 6 questions correct.
Click here to see answer by stanbon(75887)

Question 1008095: Last year, Ann had
$20,000
to invest. She invested some of it in an account that paid
7%
simple interest per year, and she invested the rest in an account that paid
5%
simple interest per year. After one year, she received a total of
$1240
in interest. How much did she invest in each account?
Click here to see answer by stanbon(75887)

Question 1008085: A survey of a city's residents shows that 26% have an IPhone, 39% have an iPad, and 48% have an iPhone or an iPad

a) What percent of the city residents have an iPhone and an iPad?
b) What percent of the city residents have neither an iPhone nor an iPad?
Click here to see answer by Boreal(15235)

Question 1008086: At a high school, 40% of kids play a sport. Of the kids at school that play a sport, 55% are girls. What percent of kids at the school are girls and play a sport?
Click here to see answer by fractalier(6550)

Question 1008082: A college math class has 5 students with liberal arts majors, 8 students with business majors, 10 students with humanities majors, and 7 students with science majors.

a) The math teacher wants feedback about her class and will select 3 students at random with whom to talk. In how many ways can the students be selected so that at least 1 will be a science major?
b) The math teacher needs one of her students to turn in end of course surveys. If she selects the students at random, what is the probability that the student will be a business major?
c) What are the odds that the student chosen to turn in the end of course surveys will be a business major?
Click here to see answer by Boreal(15235)

Question 1008079: A standard deck of cards contains 4 cards of each number type: 2 through 10, jack, queen, king, and ace. Each of the 4 cards is of a different suit: spades, hearts, diamonds, or clubs. Spades and clubs are black; hearts and diamonds are red. Jacks, queens, and kings are considered face cards.

a) In a standard deck of cards, how many cards are black or show an even number?
b) If you pick a card from a standard deck, what is the probability that the card is black or shows an even number?
c) If I pick a card from a standard deck, what is the probability that the card is NOT black NOR shows an even number?
I appreciate any help.
Click here to see answer by Boreal(15235)

Question 1008080: A camp has 30 boys and 35 girls during a 1 week session. Six kids will we chose at random to help set up for the final banquet.

a) In how many ways can the 6 kids be selected?
b) In how many ways can the kids be selected if 2 will be boys and 4 will be girls?
Any help is appreciated.
Click here to see answer by Boreal(15235)

Question 1008142: Below shows the blood types of randomly chosen people in the US. If a person is chosen at random, use the chart to find the following.

--------------A---------B----------AB--------------O
positive----110-------25----------10-------------130
negative----30--------10-----------5---------------20

a) P(negative & B)

b) P(negative | B)
c) P(B | negative)
d) P(A)
e) P(A & positive)
f) P(A or O)
Click here to see answer by stanbon(75887)

Question 1008138: Find the expected value (or expectation) of the game described.

A bag contains three silver dollars and twelve slugs. You pay 50 cents to reach into the bag and take a coin, which you get to keep.
Click here to see answer by stanbon(75887)

Question 1008136: A safe containing $1,000,000 is locked with a combination lock. You pay $16 for one guess at the six-digit combination. If you open the lock, you get to keep the million dollars. What is your expectation? (Each of the six digits is a number from 0 to 9. Repeated digits are allowed. Round your answer to the nearest cent.)
Click here to see answer by stanbon(75887)

Question 1008135: Huntington's disease is a hereditary ailment caused by a recessive gene. If both parents carry the gene but do not have the disease, there is a 0.25 probability that an offspring will fall victim to the condition. A newly wed couple find through genetic testing that they both carry the gene (but do not have the disease). If they intend to have five children, find the probability of each event. (Round your answers to five decimal places.)

(a) At least one child gets the disease.
(b) At least four of the children get the disease.

Click here to see answer by stanbon(75887)

Question 1008181: To meet the productivity goal, you must answer 75 phone calls over the course of 8 hours. You have answered 30 phone calls in 4 hours. On average, how many phone calls will you need to answer each hour for the next 4 hours to meet the productivity goal?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1008137: An insurance company has determined that in a certain region the probability of lightning striking a house in a given year is about 0.0004, and the average cost of repairs of lightning damage is $7000 per incident. The company charges $22 per year for lightning insurance.

(a) What is the company's expected value for the net income from each lightning insurance policy in one year?
(b) If the company has 100,000 lightning damage policies, what is the company's expected yearly income from lightning insurance?
Click here to see answer by Theo(13342)

Question 1008314: The golf shop that I used to shop at back home sells golf balls by the pound. Top Flite balls sells for $15.00 per pound and Pinnacle balls sell for $12.75 per pound. How many pounds of each type of ball would I need to buy to get 20 pounds of golf balls at $13.65 per pound?
Click here to see answer by josmiceli(19441)

Question 1008706: The total number of inmates in state and fedral prisons is given by the mathematical model N=7.6x+115 where x stands or the number of years sice 1990. Determine the following
Slope: Explain the meaning of the slope relative to the situation:
y-intercept :
Explain the meaning of the y-intercept relative to the situation
Click here to see answer by fractalier(6550)

Question 1008705: The total profit fore Timez series VI watches is given by R(x)=1500x-0.02x^2 where c is the number of watches sold. Determine maximum possible revenue and how many watches must be sold to achieve that profit
Click here to see answer by stanbon(75887)

Question 1008704: Given the square root function f(x)=√x , write the equation of this function shifted 2 units to the rights, reflected over the x-axis , and shifted 6 units up.
Click here to see answer by stanbon(75887)

Question 1008873: 2x-3-9x=14+x-1
Click here to see answer by norymae(15)

Question 1008964: Mary and Bryan together weigh 320 pounds. Bryan is 24 pounds heavier than Mary. How much does each person weigh
Click here to see answer by macston(5194)

Question 1008964: Mary and Bryan together weigh 320 pounds. Bryan is 24 pounds heavier than Mary. How much does each person weigh
Click here to see answer by Miniml1(17)

Question 1008970: The number of miles Jake Jake walks is represented by the equation y equals=44x, where x is the number of hours spent walking and y is the number of miles walked. The number of miles Mollie Mollie walks in x hours is modeled by the equation y equals= 55x. Who walks faster?
Click here to see answer by josmiceli(19441)

Question 1008899: a merchant bought 125 kilograms of potatoes at $125 per kg. If 5 kg potatoes were bad, at what price per kg must he sell the good potatoes to make a gross profit of 20%on the total cost?
Please help me with this question! I would be very grateful!
Click here to see answer by josgarithmetic(39613)

Question 1008998: Shelia leaves on a long trip driving at a steady rate of 40 miles per hour. Her sister Allison leaves from the same location traveling to the same destination 2 hours later. She drives at a steady rate of 60 miles per hour. How long after Allison leaves home will she catch up to Shelia?
Click here to see answer by fractalier(6550)

Question 1008985: Please help me solve this problem:
Recorded here are the germination times (in days) for sixteen randomly chosen seeds of a new type of bean:
21, 14, 20, 19, 17, 10, 10, 13, 19, 12, 12, 16, 11, 21, 22, 20
Assuming that germination times are normally distributed, find a confidence interval for the mean germination time for all beans of this type. Then complete the table below.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.

Click here to see answer by stanbon(75887)

Question 1009057: Mary goes to the market to buy vegetables. The tomatoes are 60 cents per pound and onions are 67 cents per pound. She gets 10 pounds and spends a total of $6.21. How much did she spend on each vegetable?
Click here to see answer by josgarithmetic(39613)

Question 1009079: Maya is driving to Phoenix. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of
−0.7
. See the figure below.
Maya has
65
miles remaining after
37
minutes of driving. How many miles will be remaining after
45
minutes of driving?
Click here to see answer by stanbon(75887)

Question 1009089: Richard found a shirt priced at $46 but marked $8 off. how much did the shirt cost?

Click here to see answer by Miniml1(17)

Question 12983: AN ARCHITECT IS DESIGNING A NEW LAKEFRONT COTTAGE. HE MUST CONSIDER THE BUILDING CODES IN THE DESIGN. THE RECTANGULAR LOT ON WHICH THE COTTAGE WILL BE BUILT IS 220 FT LONG AND HAS 110 FT OF FRONTAGE ON THE LAKE
A. THE BUILDING CODE STATES THAT A BUILDING MUST BE NO CLOSER THAN 25 FT TO THE LOT LINE. WRITE AND SOLVE AN INEQUALITY TO DETERMINE HOW LONG THE COTTAGE FRONT FACING THE LAKE MAY BE.
B. THE BUYERS EXPECT THAT THE COST OF THE COTTAGE WILL BE ABOUT $125,000. THEY ARE ABLE TO DEVIATE FROM THIS COST BY NO MORE THAN $12,500. WRITE AND SOLVE AN ABSOLUTE VALUE INEQUALITY TO FIND THE RANGE OF COSTS. EXPLAIN YOUR ANSWER.
Click here to see answer by MathLover1(20849)

Question 1009104: how do i find the answer to question 12983 on your site
Click here to see answer by MathLover1(20849)

Question 1009194: Problem 1
Let f(x) = (a � 5)x^2 + (b � 3)x + c and g(x) = 3x^2 � 5x � 4.
If f(1) = g(1), f(-8) = g(-8), f(-79) = g(-79), find the value of a + 2b + 2c.
Problem 2
A video production company is planning to produce an instructional movie. The producer estimates that it will cost $250,000 to shoot the video and $150 per unit to copy and distribute the CD. The wholesale price of the disc is $750 per unit.
a. Write the cost function C, the revenue function R, and the profit function P.
b. How many CD units must be sold in order to have a profit? A loss? A break-even?

Click here to see answer by Theo(13342)

Question 1009268: Christina Crinckle earns $290.25 per week plus 4% commission on al sales. If Christina averaged sales of $11,500 for the week, what was her total pay for the month, assuming a four-week month?

Click here to see answer by fractalier(6550)

Question 1009254: A new business had a profit of 7,000 in the first month, a loss of 1,500 in the second month and a loss of 8,550 in the third month. What is the net profit or net loss over the first three months?
Click here to see answer by fractalier(6550)

Question 1009295: Tom took a trip of a 13000 miles he travel by train at 50 miles an hour and the same number of hours by plane at 275 miles per hour how many hours did the trip take?
A- 3hours
B- 4hours
C- 8hours
Click here to see answer by fractalier(6550)

Question 1009329: the function for object dropped from a height where t is the time in seconds, h is the height in feet at time t, and h is the initial height is
h(t)=-16t^2+h (height is 50ft)
Click here to see answer by fractalier(6550)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 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11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690