Questions on Algebra: Probability and statistics answered by real tutors!

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Question 160922: A part of a storeroom measures 14 1/2 feet by 6 1/4 feet. The number of square feet in this part is?
Click here to see answer by KnightOwlTutor(292) About Me 

Question 160945: Calculate the mass that would yeild a body mass index of 20 or less for the following heights
a)150 cm
b) 185 cm
An altheletes BMI is 20. For each mass, how tall is the athele?
a)65 kg
b)55 kg

Click here to see answer by nerdybill(2446) About Me 

Question 160937: a pair of dice is rolled. What are the odds in favour of each of the following events occuring?
a) a sum of 7 turning up
b) a sum of 11 turning up
c) a sum of 7 or 11 turnign up
d) a sum of 2 or a sum of 12 turning up
e) a sum greater than 9 turnign up

Click here to see answer by Fombitz(2113) About Me 

Question 160991: If you flip a coin, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.
a. What is the probability of getting at most one head?
b. What is the probability of getting at most two tails?

Click here to see answer by Fombitz(2113) About Me 

Question 161107This question is from textbook Thinking Mathematically
: A group of four men and five women. Three people are selected to attend a conference.

a. In how many ways can three people be selected from this group of nine?

b. In how many ways can three women be selected from the five women?

c. Find the probability that the selected group will consist of all women.

This is how I answered:

(a) 9!/(9-3)! 3! = 9*8*7*6*5*4*3*2*1/6*3*2*1 cancel out the 6 on the numerator and denominator = 504/6 = 84 This is the answere the book gave as well.
(b) 5!/(5-3)! 3! = 5*4*3*2*1/2*3*2*1 cancel out the 2 in the numeratoer and denominator = 60/6 = 10 agan, this is also the answer the book gives.
(c) this is where I am stuck I tried this 5!/(9-5)! 3! = 5*4*3*2*1/4*3*2*1 cancelling out the 4 in the numerator and the denominator which will leave you
with 5 as a numerator, but if we cancel out the 4 on the denominator that will leave us with 6 which is the wrong answer. The books states that the answer
should be 5/42.

If you can help me to understand how they come up with 5/42 for I would appreciate it. Thanks a million!
KiKi
This question is from textbook Thinking Mathematically

Click here to see answer by vleith(1977) About Me 

Question 161161This question is from textbook Statistics for Managers Using Microsoft Excel
: My questions concern Statistics and Microsoft Excel. I am extremely lost and dont know where to begin. This is for my MBA course, but I didnt do well in Statistics during my undergrad years. Your help is extremely appreciated!
Candice
This question is from textbook Statistics for Managers Using Microsoft Excel

Click here to see answer by Fombitz(2113) About Me 

Question 161388: Please help me with my test i need it.
if 800 people were aurveyed,how many said ice cream was their favorite food?
8% ice cream,20% pizza,26%chicken.48% chocalete

Click here to see answer by elima(1433) About Me 

Question 161338This question is from textbook intergrated mathmatics
: how many five letter arrangments can be made from the letters of the word breakfast
This question is from textbook intergrated mathmatics

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Question 161470: Find the number of outcomes of a sample space
Selecting 3 cards (without replacement) from a regular deck of 52 cards (Assume order is not important.)*

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Question 161443: In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below.
Crash Damage ($)
Goliath Varmint Weasel
1,600 1,290 1,090
760 1,400 2,100
880 1,390 1,830
1,950 1,850 1,250
1,220 950 1,920
Research question: Are the mean crash damages the same for these three vehicles?
show work

Click here to see answer by checkley77(7035) About Me 

Question 161524: x=0,1,2,3,4,5,...
y=0,1,4,9,16,25,...
Do we have a linear relationship here?

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Question 161528: There are 8 ounces in a 1/2 pound. How many ounces are in 7 3/4 lbs?
Click here to see answer by checkley77(7035) About Me 

Question 161466: A fair coin tossed 5 times. Find the probability that exactly 3 heads appear.
Click here to see answer by ilana(236) About Me 

Question 161507: Not all visitors to a certain company's website are customers. In fact, the website administrator estimates that about of all visitors to the website are looking for other websites. Assuming that this estimate is correct, find the probability that, in a random sample of visitors to the website, exactly actually are looking for the website
Click here to see answer by Alan3354(6059) About Me 

Question 161401: Runners from a particular country entered the New York Marathon each year for the last 5 years and placed in the top 3. The probability of placing in the top 3 next year is?
Click here to see answer by jojo14344(1483) About Me 

Question 161471This question is from textbook Finite Mathematics
: Let A and B be two mutually exclusive events of a sample space S. If P(A) = 0.6 and P(B) = 0.2, find each of the following probabilities.

(a) P(A∩B)
(c) P(AUB)-this has the element line over both A and B
This question is from textbook Finite Mathematics

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Question 161631: The sum of two numbers is 23. the difference between three times the smaller and seven is two more than twice the larger number. find the two numbers.

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Question 161629: At 9am a plane leaves chicago heading west. At 11 am a second plane leaves chicago heading west on the same flight path and treveling 50mph faster than the first plane. the second plane overtakes the first plane in 5 hours. What is the rate of the first plane?
Click here to see answer by checkley77(7035) About Me 

Question 161630: A mechanic has 20 liters of a 50% antifreeze solution. how many liters of pure antifreeze should be added to the antifreeze solution to make an antifreeze solution that is 75% antifreeze?
Click here to see answer by checkley77(7035) About Me 

Question 161725: Is is believed that in a certain town 35% of the people did not graduate from high school
a. If we sample 18 yr old or older, what is the probability the first or the second we talk to did not graduate high school?
b. If we samole adults 18 yrs or older what is the probability the third person sampled will be the first one who did not graduate high school?

Click here to see answer by gonzo(654) About Me 

Question 161724: A calculator requires a keystroke assembly and a logic circuit. Assume that 88% of the keystroke assemblies and 93% of the logic circuits are satisfactory.
a. Find the probability that a finished calculator will be satisfactory
b. Find the probability that a finished calculator will have both a bad keystroke assembly and a bad logic circuit.
c. Find the probability that a finished calculator will have either a bad keystroke assembly or a bad logic circuit.

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Question 161795: If the standard error of the sampling distribution of the sample proportion is .0337 for samples of size 200, then the population proportion must be: (
A) 0.25
B) 0.75
C) 0.20 or 0.80
D) 0.35 or 0.65

Click here to see answer by Fombitz(2113) About Me 

Question 162243: the student council is ordering pizza for their next meeting. there are 20 council members, 7 of whom are vegetarian. A commiittee of 3 will order 6 pizzas from a pizza shop that has a special price for large pizzas with up to three toppings. the shop offers 10 different toppings.
a) how many different pizza committes can the council choose if there must be at least 1 vegetarian and 1 non vegetarian on the committe?
b) in how many ways could the committee choose up to 3 toppings for a pizza?
c) The committee decide to order each topping exactly once and to have at least 1 topping on each pizza. describe the different cases possible?
d) for one of the cases determine the number of ways of choosing and distributing the 10 toppings

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Question 162178This question is from textbook
: a pain relief drug is normally distributed with mean 2 hours and standard deviation 0.3 hour. For a patient selected at random:
a) What is the probability that the drug will be effective for 2 hours or less?
b) What is the probability that the drug will be effective for 1 hour or less?
c) What is the probability that the drug will be effective for 3 hours or more?
This question is from textbook

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Question 162418: 3. Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
A. 12 minutes
B. 15 minutes
C. 21 minutes
D. 23 minutes
E. 28 minutes

Click here to see answer by josmiceli(3003) About Me 

Question 162542: There are 4 red, 3 white and 2 yellow roses in your hand, What is the probability of selecting 2 red roses?
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Question 162544: Most mathematics professors love to invest their hard-earned money. A recent survey of 150 math professors revealed that:
111 invested in stocks;
98 invested in bonds;
100 invested in certificates of deposit;
80 invested in stocks and bonds;
83 invested in bonds and certificates of deposit;
85 invested in stocks and certificates of deposit;
9 did not invest in any of the three.
How many mathematics professors invested in stocks and bonds and certificates of deposit?

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Question 162537: Let A and B be independent events with P(A) = 1/4 and P(B) = 1/5. Find P(A Ç B) and P(AÈB).
Click here to see answer by Edwin McCravy(2920) About Me 

Question 162562: can someone help please
Five cards are drawn at random from an ordinary deck of 52 cards. In how many ways is it possible to draw two red cards and three black cards?
a. 845,000 ways
b. 422,500 ways
c. 1,690,000 ways
d. 1,267,500 ways

Click here to see answer by stanbon(26259) About Me 

Question 162584: can someone help please
Use the multiplication principle to solve the problem.
How many different 5-digit sequences can be formed using the digits 0,1, ...7 if repetition of digits is allowed?
a. 16,807
b. 120
c. 35
d. 32,768

Click here to see answer by Edwin McCravy(2920) About Me 

Question 162587: can someone help me with this
Awards are to be presented to seven people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and Paul. How many different orders are possible for the awards if the men are to receive their awards first, and then the women?
a. 5040
b. 73
c. 144
d. 2

Click here to see answer by KnightOwlTutor(292) About Me 

Question 162588: can someone help me with this
Write the sample space for the given experiment.
A box contains 10 red cards numbered 1 through 10. One card is drawn at random.
a. {10}
b. {1,2,3,4,5,6,7,8,9,10}
c. {1,10}
d. {100}

Click here to see answer by Fombitz(2113) About Me 

Question 162582: can someone help please
How many 3-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6 if repetition of digits is not allowed?
a. 210
b. 5
c. 6
d. 343

Click here to see answer by SAT Math Tutor(36) About Me 

Question 162668: can someone help me with this
Find the number of subsets of the set.
{13,14,15}
a. 6
b. 8
c. 3
d. 7

Click here to see answer by Edwin McCravy(2920) About Me 

Question 162671: can someone help me with this
Convert the odds that the given event will occur to the probability that the event will occur.
The odds in favor of winning a particular lottery are 1 to 2,000,000.
a. 1/2,000,001
b. 2,000,000/2,000,001
c. 1/1,999,999
d. 1/2,000,000

Click here to see answer by Edwin McCravy(2920) About Me 

Question 162667: can someone help me with this
If 5 apples in a barrel of 25 apples are rotten, what is the expected number of rotten apples in a sample of 2 apples?
a. .4
c. .63
c. .33
d. 1

Click here to see answer by vleith(1977) About Me 

Question 162666: can someone help with this
Find the probability of the given event.
A bag contains 5 red marbles, 3 blue marbles, and 1 green marble. A randomly drawn marble is not blue.
a. 3/2
b. 6
c. 1/3
d. 2/3

Click here to see answer by vleith(1977) About Me 

Question 162675: can someone help with this
Find the probability of the given event.
A card drawn from a well-shuffled deck of 52 cards is red.
a. 1/26
b. 13/52
c. 1/2
d. 1/52

Click here to see answer by josmiceli(3003) About Me 

Question 162709: number of ways that two letters can be selected from {A, B, C, D} if order in the sample is to be considered. List the possible samples.
My answer-
AA BA CA DA
AB BB CB DB
AC BC CC DC
AD BD CD DD
Thanks


Click here to see answer by Edwin McCravy(2920) About Me 

Question 162956: can someone please help me with this problem:
How many 3-digit numbers can be formed using the digits 0,1,2,3,4,5,6 if repetition of digits is not allowed?
a. 210
b. 5
c. 6
d. 343

Click here to see answer by jim_thompson5910(13787) About Me 

Question 162955: can someone please help me with this problem:
Among 170 households surveyed, 43 have a video camera, 44 have a snapshot camera, 48 binoculars, 7 have a video camera and a snapshot camera, 8 have a snapshot camera and binoculars, 4 have all three products. What is the probability that a household will have a snapshot camera or binoculars? Express the answer as a fraction.
a. 79/170
b. 46/85
c. 42/85
d. 87/170

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Question 162962: can someone please help me with this problem:
In a certain animal species, the probability that a female will have 0,1,2,3 or 4 offspring in a given year is .31, .21, .19, .17, and .12 respectively. Find the expected number of offspring
a. 1.38
b. 1.58
c. 1.75
d. 2

Click here to see answer by jim_thompson5910(13787) About Me 

Question 163004: Please help me answer this problem, I am lost.
A small company has 20 employees with a mean annual salary of $75,000. The company is planning to expand its activities by hiring an administrative assistant and a consultant with annual salaries of $50,000 and $95,000, respectively. What will the mean annual employee salary be if the company expands its workforce as planned?

Click here to see answer by scott8148(3382) About Me 

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