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Recent problems solved by 'stanbon'
stanbon answered: 57269 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 , 57240..57269, >>NextProbability-and-statistics/477209: Help! I got part of it, but I am boggled.
Let μ = 160 and σ = 16.
Find the z-score for the score 180 = 1.25
Find the z-score for the score 150 = -0.625
Find the score x if the z-score = 1 = x = ?????? PLEASE HELP
Find the score x if the z-score = x = −0.875 ??????? 1 solutions
Answer 327115 by stanbon(57342) on 2011-08-02 17:31:53 (Show Source):
You can put this solution on YOUR website!Let μ = 160 and σ = 16.
Find the z-score for the score 180 = 1.25
Find the z-score for the score 150 = -0.625
------
For the following problems,
since z = (x-u)/s, x = zs + u
--------------
Find the score x if the z-score = 1
x = 1*16 + 160 = 176
--------------------------
Find the score x if the z-score = x = −0.875
x = -0.875*16+160 = 146
==========================
Cheers,
Stan H.
============
|
Average/477166: two trains running in opposite direction with speeds 30 km/hr and 50km/hr crosees each other in 15 sec.what is the length of the fastest train? 1 solutions
Answer 327097 by stanbon(57342) on 2011-08-02 16:17:42 (Show Source):
You can put this solution on YOUR website!two trains running in opposite direction with speeds 30 km/hr and 50km/hr cross each other in 15 sec. what is the length of the fastest train?
---
Combined speed = 80 (km/hr)(hr/3600 sec)(1000 m/km) = 22.22 meters.sec
----
15(22.22) = 333.33 meters in 15 seconds
-----
Equation:
The ratio of the trains speeds is 5:3
5x + 3x = 333.33
8x = 333.33
x = 41.666.
5x = 208.33 meters (length of the faster train)
-----
Cheers,
Stan H.
|
Points-lines-and-rays/477162: Find the equations for each of the following:
a. The line containing P(3,0)and perpendicular to the x-axis
b. The line containing P(-4,5)and parallel to the x-axis 1 solutions
Answer 327095 by stanbon(57342) on 2011-08-02 16:01:38 (Show Source):
You can put this solution on YOUR website!Find the equations for each of the following:
a. The line containing P(3,0)and perpendicular to the x-axis
Plot the point.
Then draw the vertical thru the point.
Do you see that it passes thru all points where x = 3?
Equation: x = 3
-----------------------
b. The line containing P(-4,5)and parallel to the x-axis
Plot the point.
Draw a line thru it parallel to the x-axis.
Do you see that it passes thru all the points
where y = 5?
Equation: y = 5
========================
Cheers,
Stan H.
|
Expressions-with-variables/477131: I am trying to find the method of solving:
((x^2 + 4x) / (x^2 + 4)) * ((x + 2)^2 / x^2) = ((x + 4)(x + 2)^2) / (x^3 + 4x)
I have tried simplifying and factoring. Though I do not end up with the correct answer. 1 solutions
Answer 327088 by stanbon(57342) on 2011-08-02 14:44:55 (Show Source):
You can put this solution on YOUR website!I am trying to find the method of solving:
((x^2 + 4x) / (x^2 + 4)) * ((x + 2)^2 / x^2) = ((x + 4)(x + 2)^2) / (x^3 + 4x)
-------
((x(x+4)) / (x^2 + 4)) * ((x + 2)^2 / x^2) = ((x + 4)(x + 2)^2) / (x(x^2+4))
-----
Cancel where you can:
= (((x+4)) / (x^2 + 4)) * ((x + 2)^2 / x) = ((x + 4)(x + 2)^2) / (x(x^2+4))
------
Multiply thru by x(x^2+4) to get:
= (x+4)+(x+2)^2) = (x+4)(x+2)^2
----
Solution: True for all Real Numbers except x = 0
===========================
Cheers,
Stan H.
==============
|
Travel_Word_Problems/477137: If you are taking a 350-mile trip and for 70 miles you average 35 mph and the rest is at an average of 50 mph, how long will it take you to arrive at your destination?
1 solutions
Answer 327083 by stanbon(57342) on 2011-08-02 14:26:23 (Show Source):
You can put this solution on YOUR website!If you are taking a 350-mile trip and for 70 miles you average 35 mph and the rest is at an average of 50 mph, how long will it take you to arrive at your destination?
-------
Note: time = distance/rate
----
Equation:
Total time = 70/35 + (350-70)/50
Total time = 2 + (280/50)
Total time = 2 + 5.6 = 7.6 hrs.
=============================
Cheers,
Stan H.
|
Rate-of-work-word-problems/477134: If one person can fill a pool in 30min another in 45min and another in 90min how long would it take if they all work together. i know the answer is 15 but i dont know the equation used to get the answer. 1 solutions
Answer 327080 by stanbon(57342) on 2011-08-02 14:17:25 (Show Source):
You can put this solution on YOUR website!If one person can fill a pool in 30min another in 45min and another in 90min how long would it take if they all work together. i know the answer is 15 but i dont know the equation used to get the answer.
----
Equation:
rate + rate + rate = together rate
1/30 + 1/45 + 1/90 = 1/x
------
Multiply thru by 90x to get:
3x + 2x + x = 90
6x = 90
x = 15 minutes
====================
Cheers,
Stan H.
|
Inequalities/477135: 2x + 2>= 5x+ 11, then x
a. x<= -3
b. x >= 12
c. x >= -3
d. x>= 3 1 solutions
Answer 327079 by stanbon(57342) on 2011-08-02 14:13:15 (Show Source):
You can put this solution on YOUR website!2x + 2>= 5x+ 11, then x
---
Subtract 2x from both sides:
Subtract 11 from both sides:
-9 >= 3x
x <= -3
-------------------
Cheers,
Stan H.
===================
a. x<= -3
b. x >= 12
c. x >= -3
d. x>= 3
|
Linear-equations/477054: equation of the line that passes through (5, 3) and is parallel to the line
y = -2x + 2 1 solutions
Answer 327060 by stanbon(57342) on 2011-08-02 10:33:40 (Show Source):
You can put this solution on YOUR website!equation of the line that passes through (5, 3) and is parallel to the line
y = -2x + 2
Since the given line has a slope of -2 the parallel line
must have a slope of -2.
----
Equation Form:
y = mx + b
--
You have x,y and m; solve for "b":
3 = -2*5 + b
b = 3+10
b = 13
----
Equation you want:
y = -2x+13
======================
cheers,
Stan H.
======================
|
Probability-and-statistics/477046: Please help me with this question I am a little bit thrown off...I saw an example of it that you had on the site but I did not understand need this by today if at all possible
Household income does not tend to follow a normal distribution in a particular state, yet average income is approximately $45,000/year in this state, with a standard deviation of about $9,000. Within what income range would approximately 93.75% of the household incomes lie within this state? Show all work as to how this is obtained. ......I saw and example but didnot for the life of me understand it please help me to understand how to do this question step by step 1 solutions
Answer 327059 by stanbon(57342) on 2011-08-02 10:29:57 (Show Source):
You can put this solution on YOUR website!Household income does not tend to follow a normal distribution in a particular state, yet average income is approximately $45,000/year in this state, with a standard deviation of about $9,000. Within what income range would approximately 93.75% of the household incomes lie within this state? Show all work as to how this is obtained. ......
-----
According to Chebychev about 95% of data lies within 2 standard deviations
of the mean of the data.
----
Lower limit: 45000-2*9000 = $27000
Upper limit: 45000+2*9000 = $63000
=============
Cheers,
Stan H.
|
Linear-equations/477041: Okay so I have two questions. I have tried to work them both the way our examples showed and the way a friend of mine showed and I cannot get the answer right. Please help I want to understand what I am doing wrong so I can finally get this right.
Find the intercepts and then use them to graph the equation. 5y-15=5x
Find the slope if it exists. y=-6x+8 1 solutions
Answer 327057 by stanbon(57342) on 2011-08-02 10:25:04 (Show Source):
You can put this solution on YOUR website!Find the intercepts and then use them to graph the equation.
5y-15=5x
Divide thru by 5 to simplify the work.
y-3 = x
Solve for "y":
y = x+3
---
To get the intercepts:
x-int?: Let y = 0, then x = -3
y-int?: Let x = 0, the y = 3
----
Plot the intercepts and draw a lint thru them:
Plot: (-3,0) and (0,3)
Graph:

==============================================
Find the slope if it exists. y=-6x+8
Since the equation is already in slope-intercept form,
slope = -6
==================
cheers,
Stan H.
|
test/477044: solve
t^2 + 4t = 1 1 solutions
Answer 327056 by stanbon(57342) on 2011-08-02 10:19:03 (Show Source):
You can put this solution on YOUR website!solve
t^2 + 4t = 1
t^2 + 4t -1 = 0
Use the Quadratic Formula:
t = [-b +- sqrt(b^2-4ac)]/(2a)
---
t = [-4 +- sqrt(16-4*1*-1)]/2
---
t = [-4 +- sqrt(20)]/2
---
t = [4 +- 2sqrt(5)]/2
---
t = 2+sqrt(5) or t = 2-sqrt(5)
=================================
Cheers,
Stan H.
==========
|
Money_Word_Problems/477052: Miranda's financial aid stipulates that her tuition not exceed $1500. If her college charges a $90 registration fee pluss $250 per course, What is the greatest number of courses for which Miranda can register? 1 solutions
Answer 327054 by stanbon(57342) on 2011-08-02 10:14:53 (Show Source):
You can put this solution on YOUR website! Miranda's financial aid stipulates that her tuition not exceed $1500. If her college charges a $90 registration fee pluss $250 per course, What is the greatest number of courses for which Miranda can register?
----
Solve: 90+250x <= 1500
250x <= 1410
x <= 5.64
---
round down to get # of courses = 5
============
Cheers,
Stan H.
|
Linear_Equations_And_Systems_Word_Problems/477048: Soybean meal is 16% protein; cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 13% protein ? 1 solutions
Answer 327052 by stanbon(57342) on 2011-08-02 10:11:39 (Show Source):
You can put this solution on YOUR website!Soybean meal is 16% protein; cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 13% protein ?
------
Equation:
protein + protein = protein
0.16s + 0.08(320-s) = 0.13*320
---
Multiply thru by 100 to get:
16s + 8*320 - 8s = 13*320
8s = 5*320
s = 5*40
Amount of soybean meal needed is 200 lb
Amount of cornmeal needed is 120 lb
===========================
Cheers,
Stan H.
|
test/477045: . A person spins the pointer and is awarded the amount indicated by the pointer. pointer landed on $2
1/2 is $2, 1/4 is $8, 1/4 is $5
It costs $6 to play the game. Determine:
• The expectation of a person who plays the game.
• The fair price to play the game.
1 solutions
Answer 327050 by stanbon(57342) on 2011-08-02 10:06:48 (Show Source):
You can put this solution on YOUR website!A person spins the pointer and is awarded the amount indicated by the pointer. pointer landed on $2
1/2 is $2, 1/4 is $8, 1/4 is $5
It costs $6 to play the game. Determine:
• The expectation of a person who plays the game.
---
E(gain) = (1/2)2+(1/4)8+(1/4)5-6
---
E(gain) = 1 + 2 + 5/4 - 6
E(gain) = 4.25 - 6 = -$1.75
---
The player can expect to lose $1.75 each time he plays the game.
---
• The fair price to play the game.
The fair price would be $4.25 to play the game.
==============
Cheers,
Stan H.
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Probability-and-statistics/477047: Hi you all I really need help with this question.....Scores on the Standford-Binet I ntelligence scale have a mean of 100 and a standard deviation of 16, and are presuemd to be normally distributed. A person who scores 84 on this scale has what percentile rank within the population? Show all work as to how this is obtained. I dont even no where to begin or how can someone please help me and direct me with this question please!!!!!!! 1 solutions
Answer 327047 by stanbon(57342) on 2011-08-02 09:57:59 (Show Source):
You can put this solution on YOUR website!Scores on the Standford-Binet Intelligence scale have a mean of 100 and a standard deviation of 16, and are presumed to be normally distributed. A person who scores 84 on this scale has what percentile rank within the population?
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z(84) = (84-100)/16 = -1
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P(x < 84) = P(z < -1) = 0.1587
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So 15.87% of the population has a score less than 84.
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The person has percentile score of 15.87%ile or 16%ile if you found up.
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Cheers,
Stan H.
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Equations/477028: Please help. Thanks.
Simplify. Please show all of your work.
3c^2+4c+4-(c-6c^2-8)
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3c^2+4c+4-c+6c^2+8
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9c^2+3c+12
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cheers,
Stan H.
1 solutions
Answer 327037 by stanbon(57342) on 2011-08-02 08:13:19 (Show Source):
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Problems-with-consecutive-odd-even-integers/477026: Twice the smallest of three consecutive even integers is four more than the largest. Find the integers. 1 solutions
Answer 327036 by stanbon(57342) on 2011-08-02 08:10:32 (Show Source):
You can put this solution on YOUR website!Twice the smallest of three consecutive even integers is four more than the largest. Find the integers.
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1st: 2x-2
2nd: 2x
3rd: 2x+2
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Equation:
2(2x-2) = 2x+2 + 4
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4x-4 = 2x+6
2x = 10
x = 5
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1st: 2x-2 = 8
2nd: 2x = 10
3rd: 2x+2 = 12
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Cheers,
Stan H.
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Geometry_proofs/477025: prove the identity: (1-tan'squared'a)/(1+tan'squared'a)= cos'squared'a-sin'squared'a 1 solutions
Answer 327035 by stanbon(57342) on 2011-08-02 08:06:51 (Show Source):
You can put this solution on YOUR website!prove the identity: (1-tan'squared'a)/(1+tan'squared'a)= cos'squared'a-sin'squared'a
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(1-tan^2(a))/(1+tan^2(a))
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(1-(sin/cos)^2)/(1+sin/cos)^2)
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[(cos^2-sin^2)/cos^2)]/[(cos^2+sin^2)/cos^2)]
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Invert the denominator and multiply to get:
[(cos^2-sin^2)/cos^2)]/[cos^2/(cos^2+sin^2)]
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Cancel the cos^2 factors and convert cos^2+sin^2 to 1 to get:
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= cos^2-sin^2
Which is the right side of your original problem.
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Cheers,
Stan H.
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Probability-and-statistics/477024: a traffic light is red for 25 sec, yellow for 5 sec, and green for 55 sec. What is the probability that when you reach the light, the light is yellow 1 solutions
Answer 327033 by stanbon(57342) on 2011-08-02 07:58:47 (Show Source):
You can put this solution on YOUR website!a traffic light is red for 25 sec, yellow for 5 sec, and green for 55 sec. What is the probability that when you reach the light, the light is yellow
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yellow time: 5 sec
total recycle time: 85 sec
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P(yellow) = 5/85 = 1/17
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Cheers,
Stan H.
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Probability-and-statistics/476892: To people are selected from 6 freshman and 8 sophomores. Find the probability both are freshman or both are sophomores.
1 solutions
Answer 326967 by stanbon(57342) on 2011-08-01 21:45:54 (Show Source):
You can put this solution on YOUR website!Two people are selected from 6 freshman and 8 sophomores. Find the probability both are freshman or both are sophomores.
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P(2 frosh or 2 soph) = P(2frosh) + P(2soph)
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= [6C2 + 8C2]/14C2
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= [15 + 28]/91
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= 43/91
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Cheers,
Stan H.
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Miscellaneous_Word_Problems/476918: The number of toys in the closet varies inversely with the number of children in the room.
If there are 15 toys in the closet when there are 3 children in the room, how many toys are
in the closet when 5 children are in the room ? 1 solutions
Answer 326965 by stanbon(57342) on 2011-08-01 21:31:36 (Show Source):
You can put this solution on YOUR website!The number of toys in the closet varies inversely with the number of children in the room.
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t = k/c
---
Solve for "k" using "If there are 15 toys in the closet when there are 3 children in the room"
15 = k/3
k = 45
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Equation:
t = 45/c
---
How many toys are in the closet when 5 children are in the room ?
t = 45/5
# of toys = 9
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Cheers,
Stan H.
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Age_Word_Problems/476920: Maria is 6yrs older than John, John is twice as old as Michael? if all their ages are added together it could be 102 how old is maria 1 solutions
Answer 326962 by stanbon(57342) on 2011-08-01 21:24:42 (Show Source):
You can put this solution on YOUR website!Maria is 6yrs older than John,
John is twice as old as Michael?
If all their ages are added together it could be 102
how old is maria
-----------------------
Equations:
m = j + 6
j = 2k
m + j + k = 102
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Substitute and solve for "j":
j+6 + j + j/2 = 102
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(5/2)j = 96
j = (2/5)*96
j = 38.4
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Maria = j+6 = 44.4 yrs old
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Cheers,
Stan H.
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Mixture_Word_Problems/476913: Someone please help and show me how to figure this--How many ounces of water should be added to 4g of 1:4 solution to make a 1:6 solution? 1 solutions
Answer 326958 by stanbon(57342) on 2011-08-01 21:14:22 (Show Source):
You can put this solution on YOUR website!How many ounces of water should be added to 4g of 1:4 solution to make a 1:6 solution?
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A 1:4 solution is 1/5 = 20% active ingrediant and 4/5 = 80% water
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A 1:6 solution is 1/7 = 14.29% active and 6/7 = 85.71% water
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Equation:
water + water = water
x + 0.8*4 = 0.8571(x+4)
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Multiply thru by 10,000 to get:
10000x + 800*4 = 8571x + 8571*4
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1429x = 7771*4
x = 21.7523 grams (amt of water to be added)
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Cheers,
Stan H.
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Finance/476903: Each Sunday a newspaper agency sells x copies of a certain newspaper for $1 per copy. The cost to the agency of each newspaper is $0.50. The agency pays a fixed cost of storage, delivery and so on, of $100 per Sunday.
1. How many newspapers need to be sold to break even?
a) 100 c) 250
b) –200 d) 200
2. What is the profit for the agency if 150 newspapers sold for a particular Sunday?
a) – 25 c) 25
b) – 150 d) 175
3. How many newspapers should the agency sell in order to realize a minimum profit of $600?
a) x = 1400 c) x = 600
b) x = 200 d) x = 1000
Is the answers as follows: can you please help me verify, Thank you
1. D (200)
2. A (-25)
3. A (x=1400)
1 solutions
Answer 326953 by stanbon(57342) on 2011-08-01 21:00:16 (Show Source):
You can put this solution on YOUR website!Each Sunday a newspaper agency sells x copies of a certain newspaper for $1 per copy.
The cost to the agency of each newspaper is $0.50.
The agency pays a fixed cost of storage, delivery and so on, of $100 per Sunday.
1. How many newspapers need to be sold to break even?
Income = $x of x newpapers
Cost = 0.5x+100
----
solve x = 0.5x+100
0.5x = 100
x = 200
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a) 100 c) 250
b) –200 d) 200
==========================================
2. What is the profit for the agency if 150 newspapers sold for a particular Sunday?
Income = 150 dollars
Cost = 0.5*150+100 = 175
Profit = -25
a) – 25 c) 25
b) – 150 d) 175
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3. How many newspapers should the agency sell in order to realize a minimum profit of $600?
Profit = 0.5x-100
Solve 0.5x-100 = 600
0.5x = 700
x = 1400
a) x = 1400 c) x = 600
b) x = 200 d) x = 1000
Is the answers as follows: can you please help me verify, Thank you
1. D (200)
2. A (-25)
3. A (x=1400)
=====================
All alright.
Cheers,
Stan H.
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