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Recent problems solved by 'stanbon'
stanbon answered: 57894 problems
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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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54990..55019 , 55020..55049 , 55050..55079 , 55080..55109 , 55110..55139 , 55140..55169 , 55170..55199 , 55200..55229 , 55230..55259 , 55260..55289 , 55290..55319 , 55320..55349 , 55350..55379 , 55380..55409 , 55410..55439 , 55440..55469 , 55470..55499 , 55500..55529 , 55530..55559 , 55560..55589 , 55590..55619 , 55620..55649 , 55650..55679 , 55680..55709 , 55710..55739 , 55740..55769 , 55770..55799 , 55800..55829 , 55830..55859 , 55860..55889 , 55890..55919 , 55920..55949 , 55950..55979 , 55980..56009 , 56010..56039 , 56040..56069 , 56070..56099 , 56100..56129 , 56130..56159 , 56160..56189 , 56190..56219 , 56220..56249 , 56250..56279 , 56280..56309 , 56310..56339 , 56340..56369 , 56370..56399 , 56400..56429 , 56430..56459 , 56460..56489 , 56490..56519 , 56520..56549 , 56550..56579 , 56580..56609 , 56610..56639 , 56640..56669 , 56670..56699 , 56700..56729 , 56730..56759 , 56760..56789 , 56790..56819 , 56820..56849 , 56850..56879 , 56880..56909 , 56910..56939 , 56940..56969 , 56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239 , 57240..57269 , 57270..57299 , 57300..57329 , 57330..57359 , 57360..57389 , 57390..57419 , 57420..57449 , 57450..57479 , 57480..57509 , 57510..57539 , 57540..57569 , 57570..57599 , 57600..57629 , 57630..57659 , 57660..57689 , 57690..57719 , 57720..57749 , 57750..57779 , 57780..57809 , 57810..57839 , 57840..57869 , 57870..57899, >>NextProbability-and-statistics/572774: A couple wants to start a family. A doctor tells the couple based on many factors, the probability distribution for possible birts is given. G for girl and B for boy. Assume the probabilities don't change for any reason.
X P(X=x) G 5/9 B 3/8
What is the probability that within the first 7 births the family will have at least 2 boys?
1 solutions
Answer 368555 by stanbon(57967)   on 2012-02-14 21:11:30 (Show Source):
You can put this solution on YOUR website!P(X=x) G 5/9 B 3/8
What is the probability that within the first 7 births the family will have at least 2 boys?
-----
Ans: P(2<= x <=7) = 1 - P(0<= x <=1) = 1 - [P(x = 0)+P(x = 1)]
-----
= 1 - [(3/8)^7 + 7C1(5/9)(3/8)^6]
---
= 1 - [0.001+ 0.0108]
----
= 1 - [0.0109]
----
= 0.9891
===================
Cheers,
Stan H.
===================
|
Probability-and-statistics/572777: Kathy has a 90 average on her first four tests. What does Kathy need to score on the next test to have exactly a 92 average for the five tests?
1 solutions
Answer 368549 by stanbon(57967) on 2012-02-14 20:56:32 (Show Source):
You can put this solution on YOUR website!Kathy has a 90 average on her first four tests. What does Kathy need to score on the next test to have exactly a 92 average for the five tests?
-------
(4*90+x)/5 = 92
360 + x = 460
x = 100
=======================
Cheers,
Stan H.
|
Probability-and-statistics/572817: what is probability that a king will be selected on the first draw from the deck and another king on the second draw(assuming that the first king was not replaced)
1 solutions
Answer 368548 by stanbon(57967) on 2012-02-14 20:51:22 (Show Source):
You can put this solution on YOUR website!what is probability that a king will be selected on the first draw from the deck and another king on the second draw(assuming that the first king was not replaced)
----
# of ways to succeed: 4C2 = 6
--
# of possible outcomes: 52C2 = 1326
---
P(king and then king) = 6/1326 = 3/663 = 1/221
--------------------
Cheers,
Stan H.
|
Probability-and-statistics/572827: the first card selected from a standard 52-card deck is a king.If the king is not replaced, what is the probability that a king will be drawn on the second selection?
1 solutions
Answer 368546 by stanbon(57967) on 2012-02-14 20:47:38 (Show Source):
You can put this solution on YOUR website!the first card selected from a standard 52-card deck is a king.If the king is not replaced, what is the probability that a king will be drawn on the second selection?
---
# of ways to succeed: 3
# of possible outcomes: 51
----
P(king after king) = 3/51 = 1/17
=================
Cheers,
Stan H.
===========
|
Probability-and-statistics/572870: A bag Contains 8 white marbles and 7 blue marbles. Find the Probability of selecting each combination.
Q1: 2 white and 3 blue
Q2: 3 white and 2 blue
1 solutions
Answer 368539 by stanbon(57967) on 2012-02-14 20:22:01 (Show Source):
You can put this solution on YOUR website!A bag Contains 8 white marbles and 7 blue marbles. Find the Probability of selecting each combination.
Q1: P(2 white and 3 blue) = [8C2*7C3]/15C5 = 980/3003
===================================
Q2: 3 white and 2 blue
Same procedure as above.
==========================
Cheers,
Stan H.
|
Percentage-and-ratio-word-problems/572864: Here is the word problem I am trying to write an equation for:
" Mike received 73%, 71%, 79% and 75% on his first four math tests. What grade on his fifth test would allow him to make an average of at least 75%? Assume the test scores are whole numbers."
Here is what I have tried so far:
Let X represent fifth test score
(73 +71+79+75 + X)/5 = 75
(298 + X)/5 = 75
59.6 + 1/5X = 75
X = (75 - 59.6)/5
X = 3.08
I know this is not correct but I am not sure what is wrong with my equation. Any help showing me how to set up the right equation would really help me. thanks
1 solutions
Answer 368529 by stanbon(57967) on 2012-02-14 20:01:21 (Show Source):
You can put this solution on YOUR website!" Mike received 73%, 71%, 79% and 75% on his first four math tests. What grade on his fifth test would allow him to make an average of at least 75%? Assume the test scores are whole numbers."
Here is what I have tried so far:
Let X represent fifth test score
(73 +71+79+75 + X)/5 = 75
----
(298+x) = 5*75
298+x = 375
x = 77
=============
Cheers,
Stan H.
|
Miscellaneous_Word_Problems/572781: The Blue Mountain High School Drama Club is selling tickets to their spring musical. Adult tickets are $4 and student tickets are $1. A total of 285 tickets are sold for $765. How many of each type of ticket are sold?
A) 145 adult, 140 student
B) 120 adult, 165 student
C) 180 adult, 105 student
D) 160 adult, 125 student
1 solutions
Answer 368497 by stanbon(57967) on 2012-02-14 17:51:38 (Show Source):
You can put this solution on YOUR website! The Blue Mountain High School Drama Club is selling tickets to their spring musical. Adult tickets are $4 and student tickets are $1. A total of 285 tickets are sold for $765. How many of each type of ticket are sold?
-------
a + s = 285 tickets
4a + 1s = 765
----
Multiply thru the 1st equation by 4:
4a + 4s = 4*285
4a + s = 765
------
Subtract and solve for "s":
3s = 375
s = 125 (# of student tickets sold)
---
Solve for a:
a + s = 285
a = 160 (# of adult tickets sold)
=====================
Cheers,
Stan H.
==============
A) 145 adult, 140 student
B) 120 adult, 165 student
C) 180 adult, 105 student
D) 160 adult, 125 student
|
test/572619: f(x)=√(x-3)(2+5x)
Im not sure how to solve it as well as to finding the domain
1 solutions
Answer 368460 by stanbon(57967) on 2012-02-14 11:08:39 (Show Source):
You can put this solution on YOUR website!f(x)=√(x-3)(2+5x)
Im not sure how to solve it as well as to finding the domain
---
1st: You cannot "solve it".
---
2nd: Domain:
(x-3)(2+5x) must not be negative:
Solve (x-3)(2+5x) >= 0
---
The left side is zero when x = -2/5 or when x = 3
----
Draw a number line and plot x = (-2/5) and x = 3
-----
Test for solution areas on the number line:
(x-3)(2+5x) > 0
If x = -10 ; -*- > 0 ; true, so solution in (-oo,-5/2)
If x = 0 ; -*+ > 0 ; false
If x = 10 ; +*+ > 0 ; true, so solutions in (3,+oo)
-----
Domain: (-oo,-5/2]U[3,+oo)
===============================
cheers,
Stan H.
|
t e s t/572615: please complete the following in order from least to greatest:
25; -.25; 88;10.02; -1250x-3
1 solutions
Answer 368459 by stanbon(57967) on 2012-02-14 11:01:19 (Show Source):
You can put this solution on YOUR website!please complete the following in order from least to greatest:
25; -.25; 88; 10.02; -1250x-3
-----
-0.25: 10.02: 25: 88; (-1250*(-3))
=======================================
Cheers,
Stan H.
|
Linear_Equations_And_Systems_Word_Problems/572612: A cake shop has cookies worth $9.00 per pound and cookies worth $15.00 per pound. How many pounds of each type of cookie should the manager mix together to make 120 pounds of cookies at $12.50 per Pound?
1 solutions
Answer 368458 by stanbon(57967) on 2012-02-14 10:58:37 (Show Source):
You can put this solution on YOUR website!A cake shop has cookies worth $9.00 per pound and cookies worth $15.00 per pound. How many pounds of each type of cookie should the manager mix together to make 120 pounds of cookies at $12.50 per Pound?
-----
Quantity Eq: n + f = 120 lbs
Value Eq:: 9n+15f = 12.5*120
------------------------------------
Multiply thru Quantity by 9 to get:
9n + 9f = 9*120
9n +15f = 12.5*120
------
6f = 3.5*120
f = 20*3.5
f = 70 (# of lbs. of $15 cookies)
Solve for "n":
n + f = 120
n = 120-70 = 50 lb (# of lbs. of $9 cookies)
=====================
Cheers,
San H.
|
Human-and-algebraic-language/572613: a softball team hopes to win at least 3 games for every 2 lost during the season if there are 30 games scheduled, how many games will they lose and still achieve there goal?
1 solutions
Answer 368456 by stanbon(57967) on 2012-02-14 10:52:57 (Show Source):
You can put this solution on YOUR website!a softball team hopes to win at least 3 games for every 2 lost during the season if there are 30 games scheduled, how many games will they lose and still achieve there goal?
-----
Equation:
3x + 2x = 20
5x = 20
x = 4
----
2x = 8 games (# to lose)
==============================
cheers,
Stan H.
|
Divisibility_and_Prime_Numbers/572591: How to calculate the Multiplicative inverse modulo.
like how to calculate 7inverse mod (20). It will be helpful, if the solution or the method is calculative
1 solutions
Answer 368453 by stanbon(57967) on 2012-02-14 09:46:29 (Show Source):
You can put this solution on YOUR website!How to calculate the Multiplicative inverse modulo.
like how to calculate 7 inverse mod (20).
---
1/7 = (1+20x)/7 = 3 when x = 1
----
1/7 = 3 (mod 20)
====================
Cheers,
Stan H.
============
|
Travel_Word_Problems/572595: how long will it take a bus traveling at 60 miles per hour to overtake a car traveling at 40 mph if the car had a 1.5-hour head start?
1 solutions
Answer 368449 by stanbon(57967) on 2012-02-14 09:30:09 (Show Source):
You can put this solution on YOUR website!how long will it take a bus traveling at 60 miles per hour to overtake a car traveling at 40 mph if the car had a 1.5-hour head start?
---
slower car distance: r*t = 40x miles
---
faster car distance: r*t = 60(x-1.5) = 60x - 90 miles
----
Equation:
distance = distance
40x = 60x - 90
20x = 90
x = 9/2 = 4.5 hours
=======================
Cheers,
Stan H.
|
Expressions-with-variables/572441: Please help me solve this substitution problem. If the system does not have exactly one solution, state whether it has no solution or infinitely many solution. y= 4x
3x-y=1
1 solutions
Answer 368402 by stanbon(57967) on 2012-02-13 22:10:08 (Show Source):
You can put this solution on YOUR website!solve this substitution problem. If the system does not have exactly one solution, state whether it has no solution or infinitely many solution.
y= 4x
3x-y=1
--------------------
Substitute for "y" and solve for "x":
3x-4x = 1
-x = 1
x = -1
------------------
Solve for "y":
y = 4x
y = 4*-1
y = -4
====================
Cheers,
Stan H.
==============
|
Exponents/572453: Can you explain why the answer to w4/w9 is w5 and not 1/w5? or w-5?
I thought you subtract the exponents 4-9 which would give me -5. In order to express the answer in the positive the answer would be 1/w5 but the answer to my practice test says the answer is w5. Please explain
.
Thank you
1 solutions
Answer 368399 by stanbon(57967) on 2012-02-13 22:05:08 (Show Source):
You can put this solution on YOUR website!Can you explain why the answer to w4/w9 is w5 and not 1/w5? or w-5?
-----
The answer is 1/x^5 or x^(-5)
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cheers,
San H.
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test/572448: What percent of 45 is 7.2?
1 solutions
Answer 368398 by stanbon(57967) on 2012-02-13 22:03:13 (Show Source):
You can put this solution on YOUR website!What percent of 45 is 7.2?
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45 is the larger amount.
7.2 is the smaller amount.
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100 is all the percent one can have
x is a part of 100
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x/100 = 7.2/45
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x = 100[7.2/45]
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x = 720/45 = 16
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Ans: 16%
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Checking: 16%*45 = (16/100)*45 = (16*45)/100 = 720/100 = 7.2
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Cheers,
Stan H.
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Linear_Equations_And_Systems_Word_Problems/572418: Susana works at an Italian ice shop during the summer. She needs to order 5-ounce and 8-ounce cups. The storage room will only hold 10 more boxes of cups. A box of 5-ounce cups costs $15 and a box of 8-ounce cups costs $18. A maximum of $90 is budgeted for cups. Give two possible combinations of cups Susana can order.
1 solutions
Answer 368397 by stanbon(57967) on 2012-02-13 21:57:53 (Show Source):
You can put this solution on YOUR website!She needs to order 5-ounce and 8-ounce cups. The storage room will only hold 10 more boxes of cups. A box of 5-ounce cups costs $15 and a box of 8-ounce cups costs $18. A maximum of $90 is budgeted for cups. Give two possible combinations of cups Susana can order.
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Equation:
f + e <= 10 boxes
15f+18e <= 90 dollars
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Modify for graphing:
f <= -e + 10
f <= (-6/5)e + 6
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One solution: 2 boxes of 5 ounce and 3 boxes of 8 ounce
2nd solution: 2 boxes of 5 counce and 2 boxes of 8 ounce
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Cheers,
Stan H.
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Surface-area/572414: What is the surface area for a cereal box that measures 4 inch wide, 9 inch long, and 12 inch long?
1 solutions
Answer 368392 by stanbon(57967) on 2012-02-13 21:16:22 (Show Source):
You can put this solution on YOUR website!What is the surface area for a cereal box that measures 4 inch wide, 9 inch long, and 12 inch long?
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Surface Area = 2[4*9 + 4*12 + 9*12]
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SA = 2[36 + 48 + 108]
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SA = 2[192] = 384 sq. in.
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Cheers,
Stan H.
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Systems-of-equations/572408: What is the answer in slope Y-intercept form for the equation: "8x-0y=-16"
I've tried to do it but the -0y throws me. I know how to deal with +0y, and the rest of the problem would be okay if I knew what the -0y meant. Thank you so much for your help!!
1 solutions
Answer 368391 by stanbon(57967) on 2012-02-13 21:11:33 (Show Source):
You can put this solution on YOUR website!What is the answer in slope Y-intercept form for the equation: "8x-0y=-16"
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Note: Zero is Zero.
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Solve the equation:
8x = -16
x = -2
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Graph that as a vertical line passing thru all points where x = -2.
The line is parallel to the y-axis. There is no y-intercept.
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Cheers,
Stan H.
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Triangles/572406: the ratio of three angles in a triangle is 5:6:7. What are the measures of the angles?
1 solutions
Answer 368389 by stanbon(57967) on 2012-02-13 21:04:36 (Show Source):
You can put this solution on YOUR website!the ratio of three angles in a triangle is 5:6:7. What are the measures of the angles?
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Equation:
5x + 6x + 7x = 180
18x = 180
x = 10
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5x = 50 degrees
6x = 60 degrees
7x = 70 degrees
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Cheers,
Stan H.
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Probability-and-statistics/572257: A bag contains 5 red pens, 3 blue pens, and 8 green pens. What is the probability of drawing a red pen and then a green pen. If the first pen is not replaced before the second pen is drawn?
1 solutions
Answer 368373 by stanbon(57967) on 2012-02-13 19:44:55 (Show Source):
You can put this solution on YOUR website!A bag contains 5 red pens, 3 blue pens, and 8 green pens. What is the probability of drawing a red pen and then a green pen. If the first pen is not replaced before the second pen is drawn?
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P(green and red) = (5/16)(8/15) = (1/2)(1/3) = 1/6
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Cheers,
Stan H.
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Probability-and-statistics/572333: 2. Although, in general, you cannot know the sampling distribution of the sample mean exactly, by what distribution can you often approximate it ?
A-A binomial distribution
B-A normal distribution
C-A geometric distribution
D-A poisson distribution
1 solutions
Answer 368370 by stanbon(57967) on 2012-02-13 19:27:20 (Show Source):
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