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# Recent problems solved by 'stanbon'

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 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 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 Numbers_Word_Problems/678649: Solve the following problem. It may be helpful to use draw a chart on scrap paper to organize the information and write the equation. Be sure to show all steps (V.E.S.T.) and work in order to receive full credit. A grocer wants to make a 10-pound mixture of cashews and peanuts that he can sell for \$3.29 per pound. If cashews cost \$5.60 per pound and peanuts cost \$2.30 per pound, how many pounds of each must he mix?1 solutions Answer 421571 by stanbon(57347)   on 2012-11-11 09:04:40 (Show Source): You can put this solution on YOUR website!A grocer wants to make a 10-pound mixture of cashews and peanuts that he can sell for \$3.29 per pound. If cashews cost \$5.60 per pound and peanuts cost \$2.30 per pound, how many pounds of each must he mix? --------------------- Using 2 equations: Quantity: c + p = 10 lbs Value::: 5.6c + 2.3p = 3.29*10 dollars ---------- Multiply thru the Quantity Eq. by 560 Multiply thru the Value Eq. by 100 ------------------- 560c + 560p = 5600 560c + 230p = 3290 ----- Subtract and solve for "p": 330p = 2310 p = 7 lbs (amt. of peanuts needed) ------ Solve for "c" using c+p = 10 c + 7 = 10 c = 3 lbs (amt. of cashews needed) ===================================== cheers, Stan H.
 Geometry_proofs/678654: A horse is tied with the help of a rope to a peg if the horse is made to move keeping the rope tight, what geometrical path wiil the horse trace?1 solutions Answer 421570 by stanbon(57347)   on 2012-11-11 08:57:02 (Show Source): You can put this solution on YOUR website!A horse is tied with the help of a rope to a peg if the horse is made to move keeping the rope tight, what geometrical path wiil the horse trace? ----- The peg is the center of its movement The length of the rope is the radius of its movement. ---- The path is a circle. Cheers, Stan H. =========
 Percentage-and-ratio-word-problems/678650: 10 men take 7 days to dig a hole. how many days will it take 4 men to dig the same hole at the same rate?1 solutions Answer 421569 by stanbon(57347)   on 2012-11-11 08:54:19 (Show Source): You can put this solution on YOUR website!10 men take 7 days to dig a hole. how many days will it take 4 men to dig the same hole at the same rate? ---- # of days and # of men are inversely related. d = k/m ----- Solve for "k" using "10 men take 7 days to dig a hole": 7 = k/10 k = 70 ----- Equation: d = 70/m ------ Solve your problem: d = 70/4 = 17 1/2 days ============================ Cheers, Stan H. ===============
 Volume/678653: What is the length of the edge of a cube that has a total surface area of 288 inches?1 solutions Answer 421567 by stanbon(57347)   on 2012-11-11 08:50:12 (Show Source): You can put this solution on YOUR website!What is the length of the edge of a cube that has a total surface area of 288 inches? ------- The cube has 6 surfaces. 288/6 = 48 sq.in. ----- Sice each side is a square Area = edge^2 -------- e^2 = 48 e = 4sqrt(3)inches ================= Cheers, Stan H. ==================
 Probability-and-statistics/678651: A bag contains three quarters, two dimes and a nickel. If two coins are randomly drawn without replacement, what is the probability that both coins are the same domination? Express your answer as a common fraction.1 solutions Answer 421565 by stanbon(57347)   on 2012-11-11 08:45:43 (Show Source): You can put this solution on YOUR website!A bag contains three quarters, two dimes and a nickel. If two coins are randomly drawn without replacement, what is the probability that both coins are the same denomination? Express your answer as a common fraction. ----- # of ways to succeed: 3C2 + 2C2 = 3+1 = 4 # of possible outcomes: 6C2 = 15 ---- P(2 of the same) = 4/15 ======================== Cheers, Stan H. ========================
 Triangles/678511: the measures of the smallest and largest angle of a right triangle could differ by A) 1 B) 30 C) 62 D) 91 and WHY? task is from "MATH CONTEST Grade 7-8 year 2010-2011 number 8.1 solutions Answer 421489 by stanbon(57347)   on 2012-11-10 19:51:18 (Show Source): You can put this solution on YOUR website! the measures of the smallest and largest angle of a right triangle could differ by A) 1 B) 30 C) 62 D) 91 and WHY? Largest angle is 90 degrees The sum of the other 2 angles must be 90 degrees. One of those angles could be 1 degree and the other 89 degrees ---- Largest - smallest would be 90-1 = 89 degrees. ----- Cheers, Stan H.
 Probability-and-statistics/678426: I need to find the first and second quintiles (20th and 40th percentiles) of the data shown here: 52 61 88 43 64 71 39 73 51 60 I use a TI 84 calculator and it can solve for quartiles, but then how do you solve for quintiles, or even deciles?1 solutions Answer 421485 by stanbon(57347)   on 2012-11-10 19:31:58 (Show Source): You can put this solution on YOUR website!I need to find the first and second quintiles (20th and 40th percentiles) of the data shown here: 52 61 88 43 64 71 39 73 51 60 ----- 20^ of 10 = 2 ---- The 3rd element from the minimum has 20% of the data below it 20%ile = 51 ----- The 5th element has 40% of the data below it 40%ile = 60 ================== The TI-84 will rank the data but will not calculate quint's and deci's =================== Cheers, Stan H. Cheers, Stan H.
 Probability-and-statistics/678463: Gabe took five test and got different scores on each test. If one of these scores is selected at random, what is the probability that the score selected is less than the median?1 solutions Answer 421482 by stanbon(57347)   on 2012-11-10 19:20:30 (Show Source): You can put this solution on YOUR website!Gabe took five test and got different scores on each test. If one of these scores is selected at random, what is the probability that the score selected is less than the median? ---- The median is the middle score. There are 2 below it and 2 above it. P(selected score is below the median) = 2/5 ---------------- Cheers, Stan H. ===========
 Probability-and-statistics/678497: 2. if each card in a standard 52 card deck of playing cards has the same probability of being drawn, give the probability of drawing the following cards. a) a black king b) an even numbered red card c) 3 consecutive queens d) 2 cards of the same suit (i.e2 diamonds or 2 hearts or two clubs or 2 spades) 1 solutions Answer 421481 by stanbon(57347)   on 2012-11-10 19:16:01 (Show Source): You can put this solution on YOUR website!2. if each card in a standard 52 card deck of playing cards has the same probability of being drawn, give the probability of drawing the following cards. a) P(a black king) = 2/52 = 1/26 -------------------------------------- b) P(an even numbered red card) = 10/52 = 5/26 -------------------------------------- c) 3 consecutive queens I have no idea what consecutive queens are. -------------------------------------- d) P(2 cards of the same suit) = [4*13C2/52C2] = 4*78/52C2 = 0.2353 ============= Cheers, Stan H. ==============
 Probability-and-statistics/678538: how do you read this equation y = 2.9382*10^-5x^3 this was part of the equation that a program called graphmatica gave me. 1 solutions Answer 421480 by stanbon(57347)   on 2012-11-10 19:07:45 (Show Source): You can put this solution on YOUR website!how do you read this equation y = 2.9382*10^-5x^3 The 10^-5 means you should move the decimal point 5 places to the left --- y = 0.000029382x^3 ----------------------- Cheers, Stan H. ==========
 Rational-functions/678414: express the reciprocal of 3-radical 7 in simplest radical form 1 solutions Answer 421373 by stanbon(57347)   on 2012-11-10 09:16:06 (Show Source): You can put this solution on YOUR website!express the reciprocal of 3-radical 7 in simplest radical form ------ 1/(3-sqrt(7)) ----- Multiply numerator and denominator by (3+sqrt(7)) to get: ---- (3+sqrt(7))/(9-7) ---- = (3+sqrt(7)/2 ==================== Cheers, Stan H. ============
 Exponents-negative-and-fractional/678357: y^-2 + y^-1 = 201 solutions Answer 421308 by stanbon(57347)   on 2012-11-09 19:52:37 (Show Source): You can put this solution on YOUR website! y^-2 + y^-1 = 20 ------------------------ Yours is a quadratic equation with variable y^-1 ------ (y^-1)^2 + y^-1 -20 = 0 ----- Quadratic Equation: y^-1 = [-1 +- sqrt(1-4*-20)]/2 ---- y^-1 = [-1 +- 9]/2 --- y^-1 = -5 or y^-1 = 4 ---- y = -1/5 or y = 1/4 ==================== Cheers, Stan H. =================================
 Trigonometry-basics/678349: I am working on homework and can't figure out how to do this problem. Write sin(cot^-1(u)+ cot^-1(v)) as an algebraic expression containing u and v1 solutions Answer 421305 by stanbon(57347)   on 2012-11-09 19:46:20 (Show Source): You can put this solution on YOUR website!Write sin(cot^-1(u)+ cot^-1(v)) as an algebraic expression containing u and v ----- Because you want the sin of a sum you need the sin and the cos of the angles involved. ------- If the cot is u/1 find the sin and the cos sin = 1/sqrt(u^2+1) ; cos = u/sqrt(u^2+1) -------- If cot is v/1. sin = 1/sqrt(v^2+1) ; cos = v/sqrt(v^2+1) ----- Back to Your Problem: sin(cot^-1(u)+ cot^-1(v)) = sin[cot^-1(u)]*cos[cot^-1(v)] + cos[cot^-1(u)] * sin[cot^-1(v)] -------------------------- = [1/sqrt(u^2+1)] + [u/sqrt(u^2+1)] ------ The denominators are the same. ---- = [v + u]/[sqrt[(u^2+1)(v^2+1)] ================================= Cheers, Stan H. =================================
 Linear_Equations_And_Systems_Word_Problems/678348: The length of a rectangle is 3 feet less than twice the width of the rectangle. If the perimeter of the rectangle is 474 feet, find the width and the length.1 solutions Answer 421300 by stanbon(57347)   on 2012-11-09 18:56:28 (Show Source): You can put this solution on YOUR website!The length of a rectangle is 3 feet less than twice the width of the rectangle. If the perimeter of the rectangle is 474 feet, find the width and the length. ----------- Let the width be "w": Then the length is "2w-3" ------ Equation: Perimeter = 2(width + length) 474 = 2(w + 2w-3) 237 = 3w-3 3w = 240 w = 80 feet (width) 2w-3 = 157 feet (length) =========================== Cheers, Stan H. =============
 Probability-and-statistics/678219: the incidence of occupational disease in an industry is such that the workers have a 20% change in suffering from it.What the probability that out of six workers 4 or more will contract the disease1 solutions Answer 421296 by stanbon(57347)   on 2012-11-09 18:17:09 (Show Source): You can put this solution on YOUR website!the incidence of occupational disease in an industry is such that the workers have a 20% chance of suffering from it. What is the probability that out of six workers 4 or more will contract the disease -------------- Binomial Problem with n = 6 ; p(suffer od) = 0.20 ; p(do not) = 0.8 -------- P(4<= x <=6) = 1 - binomcdf(6,0.2,3) = 0.0170 ======================= Cheers, Stan H. =======================
 Probability-and-statistics/678327: a basketball team has a probability of 0.7 of making each free throw. If they shoot 5 free throws at the end of a game determine the probability that they make all 5 shots and atleast 4 shots......help please im stuck1 solutions Answer 421293 by stanbon(57347)   on 2012-11-09 18:06:50 (Show Source): You can put this solution on YOUR website!a basketball team has a probability of 0.7 of making each free throw. If they shoot 5 free throws at the end of a game determine the probability that they make all 5 shots ----- Binomial Problem with n = 5 : p(score) = 0.7 ; p(miss)= 0.3 --------- P(x = 5) = 0.7^5 = 0.1681 ---------------------------------- make at least 4 shots P(at least 4 shots) = P(x = 4) + P(x = 5) ------ = 5C4(0.7)^4(0.3) + 0.1681 ------ = 0.5282 ================== Cheers, Stan H. ================== ----------------------
 Angles/678334: B=1/3 pi x2n solve for N 1 solutions Answer 421292 by stanbon(57347)   on 2012-11-09 17:57:27 (Show Source): You can put this solution on YOUR website!B=1/3 pi x2n solve for N ------- 3B = pi*(2n) ----- 2n = (3B)/pi ---- n = (3B)/(2pi) ----- n = (3/2)(B/pi) ======================== Cheers, Stan H. =====================
 Probability-and-statistics/678262: The length of time it takes to fill an order at a local sandwich shop is normally distributed with a mean of 4.1 and standard deviation of 1.3 minutes. (a) what is the probability that the average waiting time for a random sample of ten customers is between 4.0 and 4.2 minutes? (b) the probability is 95% that the average waiting time for a random sample of ten customers is greater than how long?1 solutions Answer 421284 by stanbon(57347)   on 2012-11-09 17:01:44 (Show Source): You can put this solution on YOUR website!The length of time it takes to fill an order at a local sandwich shop is normally distributed with a mean of 4.1 and standard deviation of 1.3 minutes. (a) what is the probability that the average waiting time for a random sample of ten customers is between 4.0 and 4.2 minutes? ----------- Note: std for all samples of size 10 = 1.3/sqrt(10) -------- z(4) = (4-4.1)/[1.3/sqrt(10)] = -0.2436 ---- z(4.2) = (4.2-4.1)/(1.3/sqrt(10)) = +0.2436 ---------------- P(4.0<= x-bar <=4.2) = P(-0.2436<= z <=0.2436) = 0.1925 ========================================================== (b) the probability is 95% that the average waiting time for a random sample of ten customers is greater than how long? Find the z-value with a left-tail of 5%: invNorm(0.05) = -1.645 Find the corresponding wait time using x = z*s+u x = -1.645*(1.3/sqrt(10))+4.1 = 3.4237 minutes ========================== Cheers, Stan H.
 Probability-and-statistics/678253: someone please explain how to do this please!!!! Given the mean is 70 and the standard deviation is 8. Find the largest fraction of the numbers that could meet less than 50 or more than 90. Note: If your answer is to give it as a fraction, you will need to type it in as 3/4 Hint: Use Chebyshev's Theorem. 1 solutions Answer 421240 by stanbon(57347)   on 2012-11-09 14:22:30 (Show Source): You can put this solution on YOUR website!Given the mean is 70 and the standard deviation is 8. Find the largest fraction of the numbers that could meet less than 50 or more than 90. --------------- z(50) = (50-70)/8 = -20/8 = -5/2 z(90) = (90-70)/8 = +5/2 ------------------------------ Using Chebyshev: P(50<= x <=90) is at least (1-(2/5)^2) = 0.84 = 84% ===================================================== Cheers, Stan H. ==============
 Probability-and-statistics/678281: A fair die is rolled 8 times. What is the probability that an even number (2,4, 6) will occur between 2 and 4 times? Round your answer to four places after the decimal1 solutions Answer 421238 by stanbon(57347)   on 2012-11-09 14:10:51 (Show Source): You can put this solution on YOUR website!A fair die is rolled 8 times. What is the probability that an even number (2,4, 6) will occur between 2 and 4 times? Round your answer to four places after the decimal -------- Binomial Problem with n = 8 ; p(even) = 1/2 ; P(odd) = 1/2 -------- P(2<= x <=4) = binomcdf(8,1/2,4)-binomcdf(8,1/2,1) = 0.6016 ==================== Cheers, Stan H.
 test/678278: How can you write expression with rationalized denominator? Squareroot3-squareroot6. / squareroot3+square root61 solutions Answer 421236 by stanbon(57347)   on 2012-11-09 14:03:38 (Show Source): You can put this solution on YOUR website!write expression with rationalized denominator? Squareroot3-squareroot6. / squareroot3+square root6 ----------------------- = (sqrt(3)-sqrt(6)) / (sqrt(3)+sqrt(6)) ---------------------------------------- Multiply numerator and denominator by sqrt(3)-sqrt(6) ---------------------- = [(sqrt(3)-sqrt(6))(sqrt(3)-sqrt(6))] /[3-6] ------ = [3 - 2sqrt(18) +6] / (-3) ------ = [9-6sqrt(2)] / (-3) ------ = [-3 + 2sqrt(2)] ==================== Cheers, Stan H. ===========
 Rational-functions/678017: Is y^2+y^4=4 a fuction1 solutions Answer 421139 by stanbon(57347)   on 2012-11-08 20:29:10 (Show Source): You can put this solution on YOUR website!y^2+y^4 = 4 a function ? ----------------------------- It is not even a Relation because it does not generate ordered pairs. --------------------------- Cheers, Stan H. ===========
 Polynomials-and-rational-expressions/678010: 3x^3+12x^2-9x=3 1 solutions Answer 421137 by stanbon(57347)   on 2012-11-08 20:25:37 (Show Source): You can put this solution on YOUR website!3x^3+12x^2-9x=3 ----- x^3 + 4x^2 - 3x - 1 = 0 --- I graphed the cubic and found zeros at x = -4.6044 ; x = -0.2532.. ; x = +0.8576... ============== Cheers, Stan H. ==============
 Functions/677991: What is the domain and range for y=((x^3-4^3)/(x-4))?1 solutions Answer 421132 by stanbon(57347)   on 2012-11-08 20:15:58 (Show Source): You can put this solution on YOUR website!What is the domain and range for y=((x^3-4^3)/(x-4))? ------ Factored form: --- y = [(x-4)(x^2+4x+16)]/(x-4) ----------- There is a hole at x = 4. So, domain is "All Real Numbers except x = 4". ------ Minimum occurs where x = -b/2a = -4/(2) = -2 f(-2) = (-2)^2+4(-2)+16) = 4-8+16 = 8 ---- Range is All Real Numbers greater than or equal to 8. ===================== Cheers, Stan H. ===============
 test/677986: it says find the common solution(s). y=3x^2 y=3x+6 4y + 3x=12 2x+3y=1 1 solutions Answer 421126 by stanbon(57347)   on 2012-11-08 19:37:35 (Show Source): You can put this solution on YOUR website!find the common solution(s). y=3x^2 y=3x+6 ----- 3x^2 = 3x + 6 x^2 = x + 2 x^2-x-2 = 0 Factor: (x-2)(x+1) = 0 x = 2 or x = -1 --- If x = 2, y = 12 If x = -1, y = 3 ======================== 4y + 3x=12 2x+3y=1 ----- Rearrange: 3x + 4y = 12 2x + 3y = 1 ----- Multiply top equation by 2 Multiply bottom equation by 3 ---- 6x + 8y = 24 6x + 9y = 3 ------ Subtract to solve for "y": y = -21 --- Solve for "x" using 2x + 3y = 1 --- 2x +3*-21 = 1 2x -63 = 1 2x = 64 x = 32 ============= Cheers, Stan H. ===============
 Polynomials-and-rational-expressions/677975: Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. -4, -1, i Thanks in advance for your help 1 solutions Answer 421125 by stanbon(57347)   on 2012-11-08 19:31:16 (Show Source): You can put this solution on YOUR website!Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. -4, -1, i ----- Real Number coefficients implies that -i must also be a zero. ----- Ans: f(x) = (x+4)(x+1)(x-i)(x+i) --- f(x) = (x^2+5x+4)(x^2+1) = x^4 + 5x^3 + 4x^2 + x^2 + 5x + 4 ---- = x^4 + 5x^3 + 5x^2 + 5x + 4 ================================ Cheers, Stan H. ============
 test/677970: -4 n( n+ 2) = 3(n-4)1 solutions Answer 421122 by stanbon(57347)   on 2012-11-08 19:20:30 (Show Source): You can put this solution on YOUR website!-4n( n+ 2) = 3(n-4) ----- -4n^2 - 8n = 3n-12 ---- -4n^2 - 11n + 12 = 0 ------ 4n^2 + 11n - 12 = 0 ----- Use the Quadratic Formula: n = [-11 +- sqrt(121 - 4*4*-12)]/8 ---- n = [-11 +- sqrt(204)]/8 --- n = [-11 +- 2sqrt(51)]/8 ============================ Cheers, Stan H.
 Linear-equations/677971: Write the equation of line that is parallel to 6x+y=24. Explain your reasoning1 solutions Answer 421120 by stanbon(57347)   on 2012-11-08 19:13:04 (Show Source): You can put this solution on YOUR website!Write the equation of line that is parallel to 6x+y=24. Explain your reasoning ----- Slope-intercept form of the given line: y = -6x + 24 -------- slope = -6 ================= Every line parallel to the given line MUST have slope = -6. One example is y = -6x EVERY line parallel to the given line must have the form y = -6x+k k can have any Real Number Value ------------------------- Cheers, Stan H.
 Probability-and-statistics/677847: A method currently used by doctors to screen women for breast cancer fails to detect cancer in 15% of the women who actually have the disease. A random sample of 80 women known to have breast cancer are to be screened using a new method that researchers think will be able to detect cancer more accurately. At the 0.05 level of significance, the researchers will be able to conclude that the new method is better than the current one if the appropriate test statistic has a value: Answer a. Greater than 1.96 b. Less than −1.645 c. Less than 1.645 d. Greater than −1.96 e. Greater than 1.96 in absolute value1 solutions Answer 421091 by stanbon(57347)   on 2012-11-08 16:04:04 (Show Source): You can put this solution on YOUR website!A method currently used by doctors to screen women for breast cancer fails to detect cancer in 15% of the women who actually have the disease. A random sample of 80 women known to have breast cancer are to be screened using a new method that researchers think will be able to detect cancer more accurately. At the 0.05 level of significance, the researchers will be able to conclude that the new method is better than the current one if the appropriate test statistic has a value: ----- Comment: "...more accurately..." implies that Ha contains > ; so the test is a right-tail test. Ho: p <= 0.15 Ha: p > 0.15 (claim) ---------------------------------- Answer::: greater than 1.645 ======= Cheers, Stan H. =================
 Probability-and-statistics/677849: 40 multiple choice questions, 4 possible answers for each question, only one correct answer, if random guesses for all questions, what is the mean and standard deviation for number of correct answers? 1 solutions Answer 421089 by stanbon(57347)   on 2012-11-08 15:57:02 (Show Source): You can put this solution on YOUR website!40 multiple choice questions, 4 possible answers for each question, only one correct answer, if random guesses for all questions, what is the mean and standard deviation for number of correct answers? ----- mean = np = 40*(1/4) = 10 ----- std = sqrt(npq) = sqrt(10*(3/4) = sqrt(7.5) = 2.7386 ======================= cheers, Stan H.
 test/677841: An urn contains 8 red marbles, 2 blue marbles and 5 clear glass marbles. If joe draws a single marble out of the urn what is the probability that he will get either a blue or a clear marble?1 solutions Answer 421086 by stanbon(57347)   on 2012-11-08 15:54:13 (Show Source): You can put this solution on YOUR website!An urn contains 8 red marbles, 2 blue marbles and 5 clear glass marbles. If joe draws a single marble out of the urn what is the probability that he will get either a blue or a clear marble? ------ # of ways to succeed: 7 # of possible outcomes: 15 ---- P(blue or clear) = 7/15 =========================== cheers, Stan H.