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Recent problems solved by 'stanbon'

stanbon answered: 57222 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239, >>Next

Probability-and-statistics/594086: I am having issues with just this part of my course, can you help? Thank you. 1. Please show all of your work when answering the following: I. Use Chebyshev’s theorem to find what percent of the values will fall between 201 and 345 for a data set with a mean of 273 and standard deviation of 18. II. Use the Empirical Rule to find what two values 68% of the data will fall between for a data set with a mean of 216 and standard deviation of 15. 1 solutions Answer 376661 by stanbon(57290)   on 2012-04-01 21:06:33 (Show Source): You can put this solution on YOUR website! answered

Probability-and-statistics/594234: If you have a spinner with 8 equal parts how do find: P(factor of 15) and P(multiple of 4) 1 solutions Answer 376659 by stanbon(57290)   on 2012-04-01 21:03:55 (Show Source): You can put this solution on YOUR website! inconsistent information

Probability-and-statistics/594101: I am having a ton of trouble with this one please help... 1. Please show all of your work when answering the following: I. Use Chebyshev’s theorem to find what percent of the values will fall between 201 and 345 for a data set with a mean of 273 and standard deviation of 18. II. Use the Empirical Rule to find what two values 68% of the data will fall between for a data set with a mean of 216 and standard deviation of 15. 1 solutions Answer 376657 by stanbon(57290)   on 2012-04-01 21:00:58 (Show Source): You can put this solution on YOUR website! . Use Chebyshev’s theorem to find what percent of the values will fall between 201 and 345 for a data set with a mean of 273 and standard deviation of 18. --- z(201) = (201-273)/18 = -4 z(345) = (345-273)/18 = +4 ----- Percent of data is at least (1-(1/4)^2) = 1-(1/16) = 0.9375 = 93.75% ===================================== II. Use the Empirical Rule to find what two values 68% of the data will fall between for a data set with a mean of 216 and standard deviation of 15. ---- Find the z-value with a left tail of 0.5-0.34 = 0.16 invNorm(0.16) = -0.9945 ------ Find the Data Values: x = zs+u x = -0.9945*15 + 216 = 201.08 x = 0.9945*15 + 216 = 230.92 =================================== Cheers, Stan H. ===============

Probability-and-statistics/594139: What is the probability that a stock will show an increase in its closing price on five consecutive days? 1 solutions Answer 376656 by stanbon(57290)   on 2012-04-01 20:39:16 (Show Source): You can put this solution on YOUR website! Insufficient information.

Probability-and-statistics/594224: There are eleven players on the basketball team. How many ways can a starting lineup of five players be chosen? I did 11x5 and got 55 but I dont think that is right. 1 solutions Answer 376655 by stanbon(57290)   on 2012-04-01 20:36:32 (Show Source): You can put this solution on YOUR website! There are eleven players on the basketball team. How many ways can a starting lineup of five players be chosen? I did 11x5 and got 55 but I dont think that is right. -------------------- Ans: 11C5 = 11!/(6!*5!) = (11*10*9*8*7)/(1*2*3*4*5) = 462 ways ========================= Cheers, Stan H.

Probability-and-statistics/593921: Please help me solve this;46% OF ADULTS SAY CASHEWS ARE THEIR FAVORITE KIND OF NUT. YOU RANDOMLY SELECT 12 ADULTS AND ASK EACH TO NAME HIS OR HER FAVORITE NUT. FIND THE PROBABILITY THAT THE NUMBER WHO SAYS CASHEWS ARE THEIR FAVORITE NUT (A) EXACTLY THREE, (B) MORE THAN 2, AND (C) AT MOST TWO 1 solutions Answer 376578 by stanbon(57290)   on 2012-04-01 11:26:09 (Show Source): You can put this solution on YOUR website! Please help me solve this;46% OF ADULTS SAY CASHEWS ARE THEIR FAVORITE KIND OF NUT. YOU RANDOMLY SELECT 12 ADULTS AND ASK EACH TO NAME HIS OR HER FAVORITE NUT. --- Binomial Problem with n = 12 and p(cashew) = 0.46 ------ FIND THE PROBABILITY THAT THE NUMBER WHO SAYS CASHEWS ARE THEIR FAVORITE NUT (A) EXACTLY THREE P(x = 3) = 12C3*0.46^3*0.54^9 = binompef(12,0.46,3) = 0.0836 ========================== (B) MORE THAN 2 P(3<= x <=12) = 1 - P(0<= x <=2) = 1-binomcdf(12,0.46,2) = 0.9637 ========================== (C) AT MOST TWO P(0<= x <=2) = P(12,0.46,2) = bincdf(12,0.46,2) = 0.0363 =========================== Cheers, Stan H. ===========================

Probability-and-statistics/593974: Show all the possible outcomes of tossing two coins Heads-H Tails T Event 1 Event 2 Outcomes Write First Coin Second Coin ? (?,?) 1. Heads (H) Tails (T) Heads - Tails (H,T) Heads ( H) Heads- Heads H,H 2. Tails (T) Tails (T) Tails-Tails T,T Heads (H) Tails-Heads T,H 3. How many possible outcomes are there altogether? is it 4 4. What is the probability of each outcome occurring? Don't know this answer 1 solutions Answer 376576 by stanbon(57290)   on 2012-04-01 11:16:55 (Show Source): You can put this solution on YOUR website! Show all the possible outcomes of tossing two coins Heads-H Tails T Event 1 Event 2 Outcomes Write First Coin Second Coin ? (?,?) Ans: hh; ht; th; tt ------------------------- 3. How many possible outcomes are there altogether? it is 4 ------------------------------------------------------------ 4. What is the probability of each outcome occurring? P(hh) = 1/4 : P(h AND t) = 2/4 = 1/2 ; P(tt) = 1/4 ============================== Cheers, Stan H. ==============================

Money_Word_Problems/593990: Show work. Good morning, Please I need help with this problem.Thanks in advance A credit union pays 7.4% annual interest compound annually. What deposit today (present value)would amount to $200,000 in 10yrs.Hint: Solve the compound interest formula for P. 1 solutions Answer 376571 by stanbon(57290)   on 2012-04-01 09:53:57 (Show Source): You can put this solution on YOUR website! A credit union pays 7.4% annual interest compound annually. What deposit today (present value)would amount to $200,000 in 10yrs.Hint: Solve the compound interest formula for P. ----- A(t) = P(1+(r/n))^(nt) 200,000 = P(1+(0.074/1))^(1*10) ---- Solve for "P": 200,000 = P(1.074)^10 P = 200,000/(1.074)^10 P = $97,946.11 ===================== Cheers, stan H.

Money_Word_Problems/593993: what interest will i receive on £4000 over 4 yrs @ 18% 1 solutions Answer 376570 by stanbon(57290)   on 2012-04-01 09:47:51 (Show Source): You can put this solution on YOUR website! what interest will i receive on £4000 over 4 yrs @ 18% ------ simple or compound interest?

Quadratic_Equations/593994: Help! I find myself getting confused when working with negative numbers. Can someone help with this problem and also explain it as well. Thanks so much! Write a quadratic equation in the variable x having the given numbers as solutions. Write the equation in standard form, ax^2+bx+c=0. The solutions are; -11,7. 1 solutions Answer 376568 by stanbon(57290)   on 2012-04-01 09:45:17 (Show Source): You can put this solution on YOUR website! Write a quadratic equation in the variable x having the given numbers as solutions. Write the equation in standard form, ax^2+bx+c=0. The solutions are; -11,7. ------- Ans: y = (x--11)(x-7) = (x+11)(x-7) = x^2+4x-77 -------------- cheers, Stan H.

Money_Word_Problems/593880: How many years will it take an investment of $1000 to double itself when interest is compunded annually at 6%? 1 solutions Answer 376507 by stanbon(57290)   on 2012-03-31 15:55:38 (Show Source): You can put this solution on YOUR website! How many years will it take an investment of $1000 to double itself when interest is compunded annually at 6%? --- General Formula: A(t) = P(1+(r/n))^(nt) ----- Your problem: 2P = P(1+ (0.06/1))^(1*t) --- (1.06)^t = 2 ---- Take the ln of both sides: t = ln(2)/ln(1.06) = 11.9 years ==================================== Cheers, Stan H. ===========

Trigonometry-basics/593878: Consider the point and line below. Point (-9, 2) Line y= -5 a) Write the equation for the line through the given point and parallel to the given line. b) Write the equation for the line through the given point and perpendicular to the given line. THANKS!!!!! 1 solutions Answer 376506 by stanbon(57290)   on 2012-03-31 15:51:53 (Show Source): You can put this solution on YOUR website! Consider the point and line below. Point (-9, 2) Line y= -5 ---- Plot the point and draw the vertical line. ------------------------- a) Write the equation for the line through the given point and parallel to the given line. Draw a vertical line thru (-9,2) Answer: x = -9 ----------------------------------- b) Write the equation for the line through the given point and perpendicular to the given line. Draw a horizontal line thru (-9,2) Answer: y = 2 ================================== Cheers, Stan H. ===================

Graphs/593879: consider the line 6x+8y=2 What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line? 1 solutions Answer 376505 by stanbon(57290)   on 2012-03-31 15:49:01 (Show Source): You can put this solution on YOUR website! consider the line 6x+8y=2 3x + 4y = 1 y = (-3/4)x + (1/4) ------- What is the slope of a line parallel to this line? Ans: -3/4 ------------------ What is the slope of a line perpendicular to this line? Ans: 4/3 ================ Cheers, Stan H. ====================

expressions/593877: can you factor 2x^3 - 3x^2 + 7x - 3 1 solutions Answer 376504 by stanbon(57290)   on 2012-03-31 15:46:48 (Show Source): You can put this solution on YOUR website! factor 2x^3 - 3x^2 + 7x - 3 = (2x-1)(x^2-x+4) + [1/(2x-1) =============================== Cheers, Stan H. ==========

Probability-and-statistics/593870: The probability of going to a resort and winning a new car is 1 in 52,000. If 5,000 people visit a resort, how many would be expected to win a new car? 1 solutions Answer 376500 by stanbon(57290)   on 2012-03-31 15:12:01 (Show Source): You can put this solution on YOUR website! The probability of going to a resort and winning a new car is 1 in 52,000. If 5,000 people visit a resort, how many would be expected to win a new car? ------- E(x) = n*p = 5000(1/52000) = 0.0962 person ------------ Cheers, Stan H.

Probability-and-statistics/593264: Hi,I need help on Finding Missing Numbers in Patterns and I was wondering do you know how they got from number to number in this problem:80,77,71, blank,50,35,17 and do you know the rule and do you know the answer. 1 solutions Answer 376259 by stanbon(57290)   on 2012-03-29 15:11:57 (Show Source): You can put this solution on YOUR website! 80,77,71, blank,50,35,17 and do you know the rule and do you know the answer. ---- 1st: 80 2nd: 80-3 = 77 3rd: 77- 2*3 = 71 4th: 71- 3*3 = 62 5th: 62- 4*3 = 50 6th: 50- 5*3 = 35 7th: 35- 6*3 = 17 --- Rule: A(n) = 80 - (n-1)3 OR A(n) = 83-3n ============= Cheers, Stan H. =============

Probability-and-statistics/593213: The probability of a car having a defective brake light is 1/10. In a survey of 150 cars, what is the probability that 20 cars or more have a defective brake light? 1 solutions Answer 376256 by stanbon(57290)   on 2012-03-29 14:44:06 (Show Source): You can put this solution on YOUR website! The probability of a car having a defective brake light is 1/10. In a survey of 150 cars, what is the probability that 20 cars or more have a defective brake light? ------- Binomial Problem with n = 150 and p(defect) = 0.1 ------- P(20<= x <=150) = 1-binomcdf(150,0.1,19) = 0.1130 ====================================== Cheers, Stan H.

Probability-and-statistics/593225: Can you work this problem out for me....In how many ways can a person choose 3 movies to see in a theater playing 11 movies? 1 solutions Answer 376255 by stanbon(57290)   on 2012-03-29 14:41:36 (Show Source): You can put this solution on YOUR website! Can you work this problem out for me....In how many ways can a person choose 3 movies to see in a theater playing 11 movies? ----- 1st choice: 11 ways 2nd choice: 10 ways 3rd choice: 9 ways ---- 11P3 = 11!/(11-3)! = 11*10*9 = 990 ===================================== Cheers, Stan H.

Probability-and-statistics/593261: The probability that an individual is left handed is 0.15 in a class of 93 students what is the probability of finding exactly three left handers 1 solutions Answer 376253 by stanbon(57290)   on 2012-03-29 14:39:24 (Show Source): You can put this solution on YOUR website! The probability that an individual is left handed is 0.15 in a class of 93 students what is the probability of finding exactly three left handers ---- Binomial with n = 93 and p(left) = 0.15 --- P(x = 3) = 93C3*0.15^3*0.85^12 = 0.00019460 =================== Cheers, Stan H. ===================

Equations/593259: can you u show me how to put a equation in vertex form? 1 solutions Answer 376252 by stanbon(57290)   on 2012-03-29 14:35:33 (Show Source): You can put this solution on YOUR website! can you u show me how to put a equation in vertex form? --- You need to "complete the square". --- Example: y = 2x^2 + 3x + 5 ---- y = 2(x^2 + (3/2)x) + 5 --- y = 2(x^2+(3/2)x+(3/4)^2) + 5 - (3/4)^2 -- y = 2(x+(3/4))^2 + (80/16)-(9/16) --- y = 2(x+(3/4)^2 + (71/16) ---- Vertex: (-3/4,71/16) =================== Graph: =============================================== Cheers, Stan H.

Matrices-and-determiminant/593151: 8X+13Y=271.80 10X+15Y=321.00 use theinverse of the coefficient matrix of the equivalent matrix equation to solve 1 solutions Answer 376220 by stanbon(57290)   on 2012-03-29 09:51:18 (Show Source): You can put this solution on YOUR website! 8X+13Y=271.80 10X+15Y=321.00 ------ I used the matrix function on a TI-84 to get: x = 9.6 y = 15

Radicals/593144: Solve the following radical equation: (Not sure how to type the square root symbol so i will use the letter "R") (R)(x^2-4x+5) -x+2=0 I came up with no solution, but I am not sure if this is correct. 1 solutions Answer 376218 by stanbon(57290)   on 2012-03-29 09:48:15 (Show Source): You can put this solution on YOUR website! (R)(x^2-4x+5) -x+2=0 ---- sqrt(x^2-4x+5) = x-2 --- Square both sides to get: x^2-4x+5 = x^2-4x+4 --- 5 = 4 ----- Ans: no solution ======================= cheers, Stan H.

Equations/593148: -1=-4c-9 whats the c??? 1 solutions Answer 376217 by stanbon(57290)   on 2012-03-29 09:45:55 (Show Source): You can put this solution on YOUR website! -1=-4c-9 whats the c??? ---- 4c = 1-9 4c = -8 c = -2 ============ cheers, Stan H.

Trigonometry-basics/593152: csc^2x + sec^2x 1 solutions Answer 376216 by stanbon(57290)   on 2012-03-29 09:44:12 (Show Source): You can put this solution on YOUR website! There are many possible answers. Cheers, Stan H.

logarithm/593150: solve the equation. round any solutions to the nearest fourth decimal place. 4ln(2x)+ 3ln(x^5)=9 1 solutions Answer 376215 by stanbon(57290)   on 2012-03-29 09:40:41 (Show Source): You can put this solution on YOUR website! 4ln(2x)+ 3ln(x^5)=9 --- ln(2x)^4 + ln(x)^15 = 9 --- ln[16x^5*x^19] = 9 --- 16x^24 = e^9 --- x^24 = [e^9/16] --- x = 1.2962 =============== Cheers, Stan H. =============

Probability-and-statistics/593038: An experiment involves flipping a fair coin and recording the results. She has already flipped the coin 10 times. What is the probability that the next toss will be a tails? 1 solutions Answer 376213 by stanbon(57290)   on 2012-03-29 09:32:16 (Show Source): You can put this solution on YOUR website! An experiment involves flipping a fair coin and recording the results. She has already flipped the coin 10 times. What is the probability that the next toss will be a tails? ---- Events are independent. Ans: 1/2 Cheers, Stan H.

Probability-and-statistics/593067: if there are 8 blue, 4 orange, 9 yellow, and 3 red marbles in a bag what fraction shows the probability of getting blue? 1 solutions Answer 376212 by stanbon(57290)   on 2012-03-29 09:31:02 (Show Source): You can put this solution on YOUR website! if there are 8 blue, 4 orange, 9 yellow, and 3 red marbles in a bag what fraction shows the probability of getting blue? ---- P(blue) = 8/24 = 1/3 ====================== Cheers, Stan H.

Probability-and-statistics/593109: Suppose an opaque jar contains 5 red marbles and 10 green marbles. I experiment picking 2 marbles from the jar without replacing the first one. 1. What is the probability of getting a green marble first and a red marble second? 2. What is the probability of getting a green marble and a red marble? How is this different from question #1? For the 1st question I did this: (5x10)/(15x14)= 50/210 = 5/21 (am pretty sure that is right) For the 2nd question I am stumped...I thought it would be the same answer but something keeps nagging at me that I am missing something. I thought about this: (5)squared +(10)squared/(15x14) = 125/210.595 or 59.5% I really don't understand how the questions are that different..or at least I know they are asking 2 different probable outcomes but don't know how to explain the difference. Can you please help me? Thanks! Glennys 1 solutions Answer 376211 by stanbon(57290)   on 2012-03-29 09:28:07 (Show Source): You can put this solution on YOUR website! Suppose an opaque jar contains 5 red marbles and 10 green marbles. I experiment picking 2 marbles from the jar without replacing the first one. 1. What is the probability of getting a green marble first and a red marble second? Ans: (10/15)(5/14) = 50/210 = 5/21 ---- 2. What is the probability of getting a green marble and a red marble? How is this different from question #1? # of ways to succeed: 5*10 = 50 # of random pairs: 15C2 = 105 --- P(red AND green) = 50/105 = 10/21 ============= Cheers, Stan H. =============

Probability-and-statistics/593061: A previous analysis of paper boxes showed that the standard deviation of their lengths is 15 millimeters. A packer wishes to find the 90% confidence interval for the average length of a box. How many boxes does he need to measure to be accurate within 3 millimeters? A) 25 B) 97 C) 69 D) 41 1 solutions Answer 376209 by stanbon(57290)   on 2012-03-29 09:20:13 (Show Source): You can put this solution on YOUR website! A previous analysis of paper boxes showed that the standard deviation of their lengths is 15 millimeters. A packer wishes to find the 90% confidence interval for the average length of a box. How many boxes does he need to measure to be accurate within 3 millimeters? ---- n = [z*s/E]^2 n = [1.645*15/3]^2 = 68 when rounded up. ---------------- Cheers, Stan H. ================ A) 25 B) 97 C) 69 D) 41

Numbers_Word_Problems/593132: if 3,9,27 is a geometric sequence with common ratio of 3. (a)find the value of 10term (b)sum of first 15term (2)suppose we have 8,16,32,64. (a)find the value of the 20term (b)sum of the first 15term 1 solutions Answer 376204 by stanbon(57290)   on 2012-03-29 09:01:45 (Show Source): You can put this solution on YOUR website! if 3,9,27 is a geometric sequence with common ratio of 3. a(n) = a(1)*r^(n-1) ------------------------------- (a)find the value of 10 term a(10) = 3*3^9 = 3^10 ---------------------------- (b)sum of first 15 term S(n) = a[(1-r^n)/(1-r)] S(15) = 3[(1-3^15)/(-2)] = 21,523,359 ------------------------------------ (2)suppose we have 8,16,32,64. (a)find the value of the 20term (b)sum of the first 15term === Use the formulas. ========================= Cheers, Stan H. ==========

Graphs/593135: 3x-2<10 what is its graph 1 solutions Answer 376200 by stanbon(57290)   on 2012-03-29 08:36:25 (Show Source): You can put this solution on YOUR website! 3x-2<10 what is its graph ---- Solve for "x": 3x < 12 x < 4 --- Draw the boudary, x = 4, as a dashed line. Shade the half-plane to the left of the boundary line. --- The half-plane is the graph you want. Cheers, Stan H. ===========