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Question 1201865: The following 7 × 22 grid is divided into squares that are 1 unit by 1 unit.
WebAssign PlotThe shortest possible path on this grid from A to B is 29 units long. One such path is shown in the figure. Let X be the set of all 29-unit-long paths from A to B.
Compute |X|, the number of 29-unit-long paths from A to B.
|X| =
Click here to see answer by greenestamps(13198)

Question 1201808: The following table gives the sample data from a survey on income of managing directors of the sampled companies both in Kenya and Tanzania.
Country Income (in Euros)
Kenya 5000 4680 4500 3200 6845 6500 6065 5147 4365 3933
Tanzania 3540 6500 2700 3200 2760 6245 5544 5498 4367
(a) Test whether the mean income for each country is above 4000 Euros at 5% level of significance.
(10 mks)
(b) Construct the 95% confidence interval for the true mean income of Kenya. (5 mks)

Click here to see answer by Theo(13342)

Question 1201876: Should you consider fuel efficiency, measured in miles per gallon, when buying a new car? Suppose that car A costs $16,000 and gets 25 mi/gal, whereas car B costs $26,000 but gets 35 mi/gal. Further, assume that the price of gasoline is $4/gal and that you plan to drive the car for (m) mi. Taking into account price and fuel efficiency only,
(a) Write an expression CA for the cost of car A.

(b) Write an expression CB for the cost of car B.

(c) How many total miles m would you have to drive so that the cost is the same for both cars?

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Thank you!
Click here to see answer by ikleyn(52776)

Question 1201878: A BAG CONTAINS EIGHT CHIPS
NUMBERED 1 THROUGH 8. TWO CHIPS
ARE DRAWN RANDOMLY THE BAG AND
LAID DOWN IN THE ORDER THEY WERE
DRAWN. WHAT IS THE PROBABILITY
THAT THE 2-DIGIT NUMBER FORMED IS
DIVISIBLE BY 3?

Click here to see answer by math_tutor2020(3816)

Question 1201884: An ice chest contains 5 cans of apple juice, 6 cans of grape juice, 5 cans of orange juice and 4 cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting 3 cans of apple juice.

Click here to see answer by Alan3354(69443)

Question 1201887: A drawer contains 5 red socks and three black socks. A sock is taken out at random and not replaced. A second sock is then taken out. Draw a tree diagram and calculate the probability that either pair of red socks or a pair of black socks is chosen.

Click here to see answer by ikleyn(52776)

Question 1201891: In a lottery game, a player picks six numbers from 1 to 38. If 5 of the 6 match the winning numbers, then the player wins the second prize. What is the probability of winning the second prize?

Click here to see answer by ikleyn(52776)

Question 1201768: Use the sample data and confidence level given below to complete parts (a) through (d).
A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=968 and x=567 who said "yes." Use a 99% confidence level.
Click here to see answer by ikleyn(52776)

Question 1201767: Use the sample data and confidence level given below to complete parts (a) through (d).
A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=921 and x=579 who said "yes." Use a 90% confidence level.
Click here to see answer by ikleyn(52776)

Question 1201901: If a single fan among those surveyed is randomly selected, calculate the following probabilities, leaving your answers as reduced fractions or decimals to at least 3 places.

Click here to see answer by mananth(16946)

Question 1201097: Part A: Which census was closest to double the population of the 1800 census?
1810
1820
1830
1840

Part B: Which census was closest to double the population of the 1900 census?
1910
1920
1950
1960

Part C: Which of the following best compares the information in Part A and Part B?
The population has been doubling slower than it did in the early part of U.S. history.
The population has been doubling at approximately the same rate throughout U.S.
history.
The population has been doubling faster than it did in the early part of U.S. history.
Click here to see answer by Alan3354(69443)

Question 1201937: Suppose the current annual salary of all teachers in the mexico have a normal distribution with a mean of 75,000 pesos and a standard deviation of 15,000 pesos.
A. Find the probability that the annual salary of a randomly selected teacher would be between 36,000 and 56,000.
B. Find the probability that the annual salary of a randomly selected teacher would be atleast 85,000 pesos.
C. Find the probability that the annual salary of a randomly selected teacher would be 80,000 pesos.

Click here to see answer by ikleyn(52776)

Question 1201938: The heights of certain species of plants are no more distributed, width, mean 24 cm and standard deviation 1 cm. What is the probability that a plant chosen at random will be between 22 cm and 26 cm tall?
Click here to see answer by ikleyn(52776)

Question 1201940: How many four-digit numbers can be formed from the digits 0, 1,2,3,4,5,and 6 if each digit can be used only once?
(b) How many of these are odd numbers?
(c)How many are greater than 330?
Click here to see answer by greenestamps(13198)

Question 1201943: Motor Vehicle Accidents During a recent year, there
were 13.5 million automobile accidents, 5.2 million
truck accidents, and 178,000 motorcycle accidents. If
one accident is selected at random, find the probability
that it is either a truck or motorcycle accident. What is
the probability that it is not a truck accident?
Click here to see answer by ikleyn(52776)

Question 1201961: Suppose x has a normal distribution with mean μ = 130 and standard deviation σ = 12. What is the probability that x is less than 146?
Click here to see answer by ikleyn(52776)

Question 1201949: All that is left in a packet of candy are 8 reds, 3 greens, and 2 blues.
(a)What is the probability that a random drawing yields a green followed by a blue assuming that the first candy drawn is put back into the packet?
Answer:

(b)Are the events 'green' and 'blue' independent?
Answer:
Click here to see answer by ikleyn(52776)

Question 1201946: One of two urns is chosen at random with one just as likely to be chosen as the other. Then a ball is withdrawn from the chosen urn. Urn 1 contains 1 white and 5 red balls, and urn 2 has 5 white and 2 red balls.
If a white ball is drawn, what is the probability that it came from urn 1?

Click here to see answer by greenestamps(13198)

Question 1201948: Choose a student in grades 9 to 12 at random and ask if he or she is studying a language other than English. Here is the distribution of the students:
Language Spanish French German All Others None
Probability 0.22 0.1 0.04 0.01 0.63
(a) What is the probability that a randomly chosen student is, in fact, studying a language other than English?

(b) What is the probability that a randomly chosen student is studying French, German, or Spanish?

(c) What is the probability that a randomly chosen student is studying a language besides English, but not German?

Click here to see answer by ikleyn(52776)

Question 1201947: Choose a student in grades 9 to 12 at random and ask if he or she is studying a language other than English. Here is the distribution of the students:
Language Spanish French German All Others None
Probability 0.22 0.1 0.04 0.01 0.63
(a) What is the probability that a randomly chosen student is, in fact, studying a language other than English?

(b) What is the probability that a randomly chosen student is studying French, German, or Spanish?

(c) What is the probability that a randomly chosen student is studying a language besides English, but not German?

Click here to see answer by ikleyn(52776)

Question 1201925: A game at the fair involves a wheel with seven sectors. Two of the sectors are red, two of the sectors are purple, two of the sectors are yellow, and one sector is blue. Landing on the blue sector will give 3 points, landing on a yellow sector will give 1 point, landing on a purple sector will give 0 points, and landing on a red sector will give - 1 point.
a. Let X = the points you have after one spin. Fill out the missing values in the table.
Xi P(xi)
b. If you take one spin, what is your expected value?
c. What changes could you make to values assigned to outcomes to make the game fair? Prove that the game would be fair using expected values.
Click here to see answer by math_tutor2020(3816)

Question 1201897: What are the chances that a person who is murdered actually knew the murdered? The answer to this question explains why a lot of police detective work begins with relatives and friends of the victim. About 64% of people who are murdered actually knew the person who committed the murder. Suppose that a detective has 63 current unsolved murders.
What is the probability that at least 35 of the victims knew their murderers?
Click here to see answer by Theo(13342)

Question 1201963: In a certain book, the frequency distribution of the number of words per page may be taken as approximately normal with mean 800 and standard deviation 50. If three pages are chosen at random, what is the probability that none of them has between 830 and 845 words each?
Click here to see answer by ikleyn(52776)

Question 1201969: Without repeating any digits, how many 4-digit numbers can be formed from the numbers {1,2,3,4,5,6}, if you only want the result to be even numbers?
Click here to see answer by ikleyn(52776)

Question 1201972: 92. FILE Refer to the North Valley Real Estate data, which report information on homes sold
during the last year. a. Sort the data into a table that shows the number of homes that have a pool versus the number that don't have a pool in each of the five townships. If a home is selected
at random, compute the following probabilities
1. The home has a pool.
2. The home is in Township 1 or has a pool. 3. Given that it is in Township 3, that it has a pool.
4. The home has a pool and is in Township 3. b. Sort the data into a table that shows the number of homes that have a garage at-
tached versus those that don't in each of the five townships. If a home is selected at random, compute the following probabilities:
1. The home has a garage attached. 2. The home does not have a garage attached, given that it is in Township 5.
3. The home has a garage attached and is in Township 3.
4. The home does not have a garage attached or is in Township 2.
Click here to see answer by math_tutor2020(3816)

Question 1201975: 4. The following data represent the weekly income distribution of guardians who take care of orphan and vulnerable children in Ethiopia.
200 150 105 150 300 75 60 75 170 75
150 100 150 500 100 100 120 80 130 150
400 100 450 150 100 75 75 75 100 150
150 150 75 100 100 75 75 50 200 400
100 100 320 100 100 75 100 100 400 250
100 100 150 75 75 100 200 200 150 160
200 120 250 80 75 75 200 150 200 165
150 160 45 45 300 100 70 170 170 220

Click here to see answer by math_tutor2020(3816)

Question 1201976: 4. The following data represent the weekly income distribution of guardians who take care of orphan and vulnerable children in Ethiopia.
200 150 105 150 300 75 60 75 170 75
150 100 150 500 100 100 120 80 130 150
400 100 450 150 100 75 75 75 100 150
150 150 75 100 100 75 75 50 200 400
100 100 320 100 100 75 100 100 400 250
100 100 150 75 75 100 200 200 150 160
200 120 250 80 75 75 200 150 200 165
150 160 45 45 300 100 70 170 170 220
a. Organize the data into 10 class intervals.
b. Draw a histogram, frequency polygon , greater than and less than cumulative frequency curve
c. Describe the nature of the data
d. Determine mean and median and discuss the results
e. Determine variance and standard deviation

Click here to see answer by math_tutor2020(3816)

Question 1201978: When 40 people use the Weight Watchers diet for one year, their mean weight loss was 3.0 pounds. Historically the standard deviation is s = 4.9 pounds. Use a 0.01 significance level to test the claim that the mean weight loss is greater than 0.
a) State the null and alternate hypotheses.

b) Explain whether your test will be left, right or two-tailed.

c) State the test statistic and p-value of your test. Round your answers to four-decimal places.

d) Explain your conclusion to reject or fail to reject the null hypothesis in terms of p and s.

e) Interpret your conclusion in the context of this problem.

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Thank you!
Click here to see answer by math_tutor2020(3816)

Question 1201984: Six balls numbered from 1 to 6 are placed in a box. If one ball is selected at random, find the probability that it is an odd-numbered ball.

Click here to see answer by mananth(16946)

Question 1201986: An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event A: The sum is greater than 9.
Event B: The sum is divisible by 2 or 3 (or both).
Round your answer to 2 decimal places.
(a). P(A) =
(b.) P(B) =
Click here to see answer by mananth(16946)

Question 1201987: An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event A: The sum is greater than 6.
Event B: The sum is an odd number.
(a.) P(A) =
(b.) P(B) =
Click here to see answer by mananth(16946)

Question 1201996: Suppose that past history shows that 60% of college students prefer Brand C cola. A sample of 5 students is to be selected. The probability that fewer than 2 prefer brand C is
Click here to see answer by math_tutor2020(3816)

Question 1201997: What proportion of students taking the MCAT had scores between 502 and 510? Compute the proportion and then enter the answer as a percentage rounded to two decimal places.
Click here to see answer by ikleyn(52776)

Question 1201974: Determine Z score for the following data taken from the above distribution. Treat these scores as part of the above distribution: 18, 15, 40, 12, and 24.
Click here to see answer by ikleyn(52776)

Question 1202008: 1000 light bulbs with a mean life of 120 days are installed in a new factory and their length of life is normally distributed with standard deviation of 20 days. If it is decided to replace all the bulbs together, what interval should be allowed between replacements if not more than 10% should expire before replacement?
Click here to see answer by ikleyn(52776)

Question 1202055: #Please, I need you to answer everything because I only have one question and I'm going to turn in the homework in an hour. Please.
(1) S = 47(pi)r^2, where S is the surface area of a sphere with radius r
(2) a = 1/2, where a is the area of a triangle with base b and height h
(3) Write a variation equation for each situation. Use k as the constant of variation.
(a) A varies directly as b.
(b) P varies inversely as the cube of x.
(c) I varies jointly as g and h.
(4) If x varies directly as y, and x 9 when y 3, find x when y = 12.
(5) If a varies directly as the square of b, and a = 4 when b=3, find a when b=2.
(6) If z varies inversely as w, and z = 10 when w = 0.5, find z when w = 8.
(7) If m varies inversely as the square of p, and m = 20 when p = 2, find m when p = 5.
(8) p varies jointly as q and the square of r, and p = 200 when q = 2 and r = 3. Find p when q = 5 and r = 2.
Click here to see answer by josgarithmetic(39616)

Question 1202069: Achaiah made a claim that at least 5% of the college male students drives racing car. His friend Sofia finds this hard to believe and decided to check the validity of Achaiah's claim, so she took a random sample. At 0.05, does Sofia have sufficient evidence to reject Achaiah's claim if there were 19 racing car in her sample of 750 cars?
Click here to see answer by math_tutor2020(3816)

Question 1202042: A sample of 105 workers in a given factory earns an average of $ 24,375 per year. The average salary for all workers is $ 24,230 with a standard deviation of $ 523. Are workers in the factory overpaid? Use α = 0.05
Click here to see answer by math_tutor2020(3816)

Question 1202041: Researchers were surprised to find that young children under stress actually report fewer symptoms of anxiety and depression than we would expect. But they also noticed that their scores on a Lie scale (a measure of the tendency to give socially desirable answers) were higher than expected. The population mean for the Lie scale on the Children’s Manifest Anxiety Scale is known to be 3.87. For a sample of 36 children under stress, the researchers found a sample mean of 4.39, with a standard deviation of 2.61. Does this group of children show an increased tendency to give socially acceptable answers? Test the hypothesis at α = 0.05. Also, calculate the 95% confidence limits and check whether the limits are consistent with your conclusion.
Click here to see answer by Theo(13342)

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, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 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, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 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