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Recent problems solved by 'stanbon'
stanbon answered: 57264 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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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239 , 57240..57269, >>NextProbability-and-statistics/541054: on a standarized test with a mean of 500 and and a stadard deviation of 100 what would be the cutoff score for selecting the top 10% of the applicants
1 solutions
Answer 354019 by stanbon(57337)   on 2011-12-03 18:43:02 (Show Source):
You can put this solution on YOUR website!on a standarized test with a mean of 500 and and a standard deviation of 100 what would be the cutoff score for selecting the top 10% of the applicants
---
Find the z-value with a left-tail of 90%
---
invNOrm(0.90) = 1.2816
----
cutoff = z*s + u
cutoff = 1.281556*100 + 500 = 628.1556
========================================
Cheers,
Stan H.
=============
|
Probability-and-statistics/541016: If 2% of the auto tires manufactured by a company are defective and 2 tires are randomly selected from an entire week’s production, find the probability that neither is defective (state your probability as a decimal carried out to the fourth place).
1 solutions
Answer 354017 by stanbon(57337) on 2011-12-03 18:38:41 (Show Source):
You can put this solution on YOUR website!If 2% of the auto tires manufactured by a company are defective and 2 tires are randomly selected from an entire week’s production, find the probability that neither is defective (state your probability as a decimal carried out to the fourth place).
----------
Binomial Problem with n = 2 and p(defect) = 0.02 and p(not defect) = 0.98
--------
P(not AND not) = 0.98^2 = 0.9604
==================================
Cheers,
Stan H.
==================================
|
percentage/541048: how do you find the increase or decrease between two number in percent?
for example: original amount:1500
new amount:1725
the question asked me to find the percent of increase or decrease. what should i do for this problem?
1 solutions
Answer 354011 by stanbon(57337) on 2011-12-03 18:30:14 (Show Source):
You can put this solution on YOUR website!find the increase or decrease between two number in percent?
for example: original amount:1500
new amount:1725
------
increase from 1500 to 1725
---
Quantity increase: 1725-1500 = 225
----
% increase: 225/1500 = 0.15 = 15%
=====
Cheers,
Stan H.
========
|
Mixture_Word_Problems/540941: A store has 20 pounds of trail mix that is 3 part raisins to 2 part nuts. They have available another mix that is 1 part raisin to 3 part nuts. How much of this second mix should be added to the 20 pounds to give a mix that is equal parts of raisins and nuts?
I tried to add both ratios. (3:2)+ (1:3) = (4:5)
Then I added another (3:2) to (4:5) to get (7:7)
I just don't understand how I got this. HELP!!
1 solutions
Answer 353940 by stanbon(57337) on 2011-12-03 14:00:53 (Show Source):
You can put this solution on YOUR website!A store has 20 pounds of trail mix that is 3 part raisins to 2 part nuts. They have available another mix that is 1 part raisin to 3 part nuts. How much of this second mix should be added to the 20 pounds to give a mix that is equal parts of raisins and nuts?
----------
Follow the raisins:
raisins + raisins = raisins
(3/5)20 + (1/4)x = (1/2)(20+x)
Multiply thru by 20:
12*20 + 5x = 10(20+x)
12*20 + 5x = 10*20 + 20x
15x = 2*20
x = 8/3 lb (amt of the 2nd mix needed)
====================================
Cheers,
Stan H.
==============
|
Triangles/540942: Caculate the area of a 30-60-90 triangle with the hypotenuse equal to 8
1 solutions
Answer 353938 by stanbon(57337) on 2011-12-03 13:51:01 (Show Source):
You can put this solution on YOUR website!Calculate the area of a 30-60-90 triangle with the hypotenuse equal to 8
---
If hypotenuse = 8
one side = (1/2)8 = 4
other side = 4*sqrt(3)
---
Cheers,
Stan H.
========
|
Money_Word_Problems/540950: i need help solving this problem.
A person deposited $500 in a savings account that pays 5% interest that is compounded yearly. At the end of 10 years, how much money will be in the savings account?
1 solutions
Answer 353934 by stanbon(57337) on 2011-12-03 13:42:00 (Show Source):
You can put this solution on YOUR website!A person deposited $500 in a savings account that pays 5% interest that is compounded yearly. At the end of 10 years, how much money will be in the savings account?
------
A(t) = P(1+(r/n))^(nt)
----
A(10) = 500(1+(0.05/1))^(1*10)
----------------------------------
A(10) = 500(1.05)^10 = $814.45
================================
Cheers,
Stan H.
===========
|
Miscellaneous_Word_Problems/540951: • U = {a, b, c, d, e, f, g, h, i, j, k}
• A = {a, c, d, f, g, i}
• B = {b, c, d, f, g}
• C = {a, b, f, i, j}
Determine the following.
B ∪ C
1 solutions
Answer 353933 by stanbon(57337) on 2011-12-03 13:38:44 (Show Source):
You can put this solution on YOUR website!B = {b, c, d, f, g}
• C = {a, b, f, i, j}
Determine the following.
--------------
B ∪ C = {a,b,c,d,f,g,i,j}
===========================
Cheers,
Stan H.
|
Miscellaneous_Word_Problems/540945: Sixteen ceramic tiles are needed to tile a 9-square-foot area. At this rate, how many square feet can be tiled 256 ceramic tiles?
1 solutions
Answer 353932 by stanbon(57337) on 2011-12-03 13:36:58 (Show Source):
You can put this solution on YOUR website!Sixteen ceramic tiles are needed to tile a 9-square-foot area. At this rate, how many square feet can be tiled 256 ceramic tiles?
---
x/256 = 9/16
----
x = (256/16)*9 =
---
x = 144 sq ft
===============
Cheers,
Stan H.
===============
|
Functions/540946: Please help me solve this equation: Given the functions f(x)=2x/x-3 and g(x)=x-2 find a fomula, in simplest form, for (f o g)(x).
1 solutions
Answer 353931 by stanbon(57337) on 2011-12-03 13:32:52 (Show Source):
You can put this solution on YOUR website!Given the functions f(x)=2x/x-3 and g(x)=x-2 find a fomula, in simplest form, for
(f o g)(x) = f[g(x)] = f(x-2) = [2(x-2)]/[x-2-3] = (2x-4)/(x-5)
-----
Cheers,
Stan H.
======
|
Linear_Algebra/540927: i have tried this problem four times and i keep getting the same ordered triple (2,-5,3). But when i substitute the answer in it does not work.
1) x + 2y + 2z = -2
2) 2x - y + 3z = -6
3) x - 3y + 2z = -7
1) x + 2y + 2z = -2
2) (2x - y + 3z = -6)2
4x - 2y +6z = -12
x + 2y + 2z = -2
NEW 1) 5x + 8z = -14
2) (2x - y + 3z = -6)-3
3) x - 3y + 2z = -7
-6x + 3y - 9z =18
x - 3y + 2z = -7
NEW 3) -5x - 7z = 11
NEW 1) 5x + 8z = -14
z = 3
NEW 1)5x + 8z = -14
5x + 8(3) = -14
x = 2
Original 1) x + 2y + 2z = -2
2 + 2y + 2(3) = -2
2 + 2y + 6 = -2
y = -5
1 solutions
Answer 353913 by stanbon(57337) on 2011-12-03 12:34:04 (Show Source):
You can put this solution on YOUR website!i have tried this problem four times and i keep getting the same ordered triple (2,-5,3). But when i substitute the answer in it does not work.
1) x + 2y + 2z = -2
2) 2x - y + 3z = -6
3) x - 3y + 2z = -7
=========================
x = 2
y = 1
z = -3
============
Cheers,
Stan H.
============
|
Linear_Equations_And_Systems_Word_Problems/540913: I need help with two two part questions can anyone help me Please?A sales representative tells you they have 2 floor plans available, but they have only 40 homes available. Write an equation that illustrates the situation Using M for first floor plan and N for the second floor plan. Next floor plan M sells for $175,000 and floor plan 2 sells for $200,000. She also mentions that all the available houses combined are worth $7,625.000. Write an equation that illustrates this situation using the same variables that were used in the first part.Using the elimination method to determine how many houses are available
with each floor plan? Question 2 if you have 65 home with two different floor plans using x and y ,x being for the first floor plan and y for the second write an equation that represent the situation the sales representative later indicates that there are 4 times as many homes available with the second floor plan.Using the same variable you used in the first part write an equation that illustrates this situation also use substitution system of equations to determine how many of each type of floor plan is available. Please someone help me today. My figures are not working for me and I am getting more confused with them.
1 solutions
Answer 353908 by stanbon(57337) on 2011-12-03 12:29:16 (Show Source):
You can put this solution on YOUR website!A sales representative tells you they have 2 floor plans available, but they have only 40 homes available. Write an equation that illustrates the situation Using M for first floor plan and N for the second floor plan.
----
M + N = 40
----
Next floor plan M sells for $175,000 and floor plan 2 sells for $200,000. She also mentions that all the available houses combined are worth $7,625.000. Write an equation that illustrates this situation using the same variables that were used in the first part.
175,000M + 200,000N = 7,625,000
-------
Using the elimination method to determine how many houses are available
with each floor plan?
Multiply thru the 1st equation by 175,000 to get:
175000M + 175000N = 175000*40
175000M + 200000N = 7625000
------
Subtract the top equation from the bottom and solve for "N":
250000N = 625000
N = 2.5
================
Solve for "M":
175000M + 200,000*2.5 = 7,625,000
175000M = 7125000
M = 40.71
================
Question 2 if you have 65 homes with two different floor plans using x and y,
x being for the first floor plan and y for the second write an equation that represents the situation. The sales representative later indicates that there are 4 times as many homes available with the second floor plan.
----------------
Using the same variable you used in the first part write an equation that illustrates this situation also use substitution system of equations to determine how many of each type of floor plan is available.
---
x + y = 65
y = 4x
-----
Substitute for "y" and solve for "x":
x + 4x = 65
5x = 65
x = 13 (# of 1st floor plan)
---
Solve for "y":
y = 4x
y = 4*13 = 52 (# of 2nd floor plan)
===================================
Cheers,
Stan H.
==============
|
Linear_Algebra/540847: please help solve using substitution method
x-y=3
-3y+4y=2
1 solutions
Answer 353894 by stanbon(57337) on 2011-12-03 08:40:36 (Show Source):
You can put this solution on YOUR website!solve using substitution method
x-y=3
-3x+4y=2
----
x = y+3
---
Substitute for "x" and solve for "y":
-3(y+3) + 4y = 2
-3y-9+4y = 2
y = 11
----
Solve for "x":
x = y + 3
x = 11 + 3 = 14
=====================
Cheers,
Stan H.
===============
|
Probability-and-statistics/540767: Assume you have the following data: H0: = 200, S = 30, n = 64, and X-bar= 218. Conduct a two-tailed hypothesis test at the .05 significance level.
1 solutions
Answer 353864 by stanbon(57337) on 2011-12-02 22:55:53 (Show Source):
You can put this solution on YOUR website! Assume you have the following data:
Ho: u = 200
Ha: u is not equal to 200
--------------------------
S = 30, n = 64, and X-bar= 218. Conduct a two-tailed hypothesis test at the .05 significance level.
t(218) = (218-200)/[30/sqrt(64)] = 18/[30/8] = 9/(15/8) = 72/15 = 4.8
---
p-value = 2*P(t > 4.8 when df = 63) = 2*tcdf(4.8,100,63) = 0.00001014
-=====
Conclusion: Since the p-value is less than 5%, reject Ho.
The test supports the belief that u is not equal to 200
at the 5% significance level.
=============
Cheers,
Stan H.
===============
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Probability-and-statistics/540771: 1.A card is chosen randomly from a standard deck, recorded, and not replaced. A second card is then drawn and recorded. Consider the two events below:
A = first card is an ace of spades
B = second card is an ace of spades
(a) Are A and B independent events? Why?
(b) Are these events mutually exclusive? Why?
1 solutions
Answer 353862 by stanbon(57337) on 2011-12-02 22:47:32 (Show Source):
You can put this solution on YOUR website!1.A card is chosen randomly from a standard deck, recorded, and not replaced.
A second card is then drawn and recorded. Consider the two events below:
A = first card is an ace of spades
B = second card is an ace of spades
(a) Are A and B independent events? Why?
No they are not independent. If the ace of spades is drawn on the 1st
selection it cannot be drawn on the 2nd selection.
-------
(b) Are these events mutually exclusive? Why?
Yes, because p(ace of spades AND ace of spades) = 0
=====================================================
Cheers,
Stan H.
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Systems-of-equations/540775: solve -19 less than or equal to 3x-2 less than or equal to -1
1 solutions
Answer 353861 by stanbon(57337) on 2011-12-02 22:42:57 (Show Source):
You can put this solution on YOUR website!solve -19 less than or equal to 3x-2 less than or equal to -1
---
-19 <= 3x-2 <=-1
Add 2 along the line to get:
-17 <= 3x <= 1
Divide by 3 along the line to get:
-17/3 <= x <= 1/3
========================
Cheers,
Stan H.
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expressions/540776: A puzzle costs p than a book, the book cost $1.99. How much is the puzzle?
the puzzle's cost =1.99+p
1 solutions
Answer 353860 by stanbon(57337) on 2011-12-02 22:41:01 (Show Source):
You can put this solution on YOUR website!A puzzle costs p than a book, the book cost $1.99. How much is the puzzle?
----
puzzle cost = 1.99 + p
==========================
Cheers,
Stan H.
================
|
Graphs/540774: I need more help-big shocker!
Given the points A(3, -6) and B(9, 2). Find the equation of the perpendicular bisector through the line segment AB.
Can someone please help me solve this, please show me the steps!
Thanks much!
1 solutions
Answer 353859 by stanbon(57337) on 2011-12-02 22:39:44 (Show Source):
You can put this solution on YOUR website!Given the points A(3, -6) and B(9, 2). Find the equation of the perpendicular bisector through the line segment AB.
---
Find slope and midpoint of AB:
slope = (2--6)/(9-3) = 8/6 = 4/3
----
midpoint = (x,y)
x = (3+9)/2 = 6
y = (-6+2)/2 = -2
----
Now find the eqution of the line
with slope = -3/4 passing thru point (6,-2)
---
Form: y = mx + b
-2 = (-3/4)*6 + b
-2 = -9/2 + b
b = -2 + (9/2)
b = 5/2
----
Equation you want:
y = (-3/4)x + (5/2)
======================
Cheers,
Stan H.
======================
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Probability-and-statistics/540706: Suppose that 599 of the 1347 respondents for a survey agree with a question. What is the margin of error for the 95% confidence interval?
1 solutions
Answer 353849 by stanbon(57337) on 2011-12-02 21:55:15 (Show Source):
You can put this solution on YOUR website! Suppose that 599 of the 1347 respondents for a survey agree with a question. What is the margin of error for the 95% confidence interval?
---
p-hat = 599/1347 = 0.44
ME = z*s
ME = 1.96*sqrt[0.44*0.56/1347) = 0.0265
==========================================
Cheers,
Stan H.
====================
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Probability-and-statistics/540749: A multiple-choice test consists of ten questions. Each with four choices. Calculate the probability that a student who randomly guesses the answer to each question will get all of the questions correct.
1 solutions
Answer 353848 by stanbon(57337) on 2011-12-02 21:50:20 (Show Source):
You can put this solution on YOUR website!A multiple-choice test consists of ten questions. Each with four choices. Calculate the probability that a student who randomly guesses the answer to each question will get all of the questions correct.
-----
Binomial Problem with n = 10 and p(correct) = 1/4
-----
P(all correct) = (1/4)^10 = 0.0000009537
============
Cheers,
Stan H.
|
Rate-of-work-word-problems/540598: Show an equation and a solution for the problem. It takes John 20 hours to paint a building. It takes Sam 15 hours to paint the same building. How long will it take for them to paint the building if they work together, with Sam starting one hour later than John? Round to the nearest tenth.
1 solutions
Answer 353779 by stanbon(57337) on 2011-12-02 13:51:06 (Show Source):
You can put this solution on YOUR website!Show an equation and a solution for the problem. It takes John 20 hours to paint a building. It takes Sam 15 hours to paint the same building. How long will it take for them to paint the building if they work together, with Sam starting one hour later than John? Round to the nearest tenth.
---
John's rate = 1/20 job/hr
Sam's rate = 1/15 job/hr
----
Together rate = 1/x job/hr
---
Equation:
rate + rate = together rate
1/20 + 1/15 = 1/x
3x + 4x = 60
x = 60/7 Time to do the jog together
Together rate = 7/60 job/hr
---
Equation:
How long will it take for them to paint the building if they work together, with Sam starting one hour later than John? Round to the nearest tenth.
John work + together work = job done
(1/20) + (7/60)x hrs = 1 job
3 + 7x = 60
7x = 57
x = 57/7 = 8.1429 hrs. (time they work together)
===============================
Cheers,
Stan H.
===============
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Sequences-and-series/540590: Find the sum of the geometric series: 1+ sqrt6+ 6+...+7766
1 solutions
Answer 353776 by stanbon(57337) on 2011-12-02 13:39:40 (Show Source):
You can put this solution on YOUR website!Find the sum of the geometric series:
1+ sqrt6+ 6+...+7766
----
S(n) = a[(1-r^n)(1-r)]
---
Determine r and n
r = sqrt(6)/1 = sqrt(6)
n = ?
Solve (sqrt(6))^n = 7766 for "n":
n = log(7766)/(log(sqrt(6)) = 10
-----
S(11) = 1[(1-(sqrt(6))^11)/(1-sqrt(6)) = 19046.2322/1.4495 = 13,140
===================
Cheers,
Stan H.
================
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Polynomials-and-rational-expressions/540593: I need help understanding Monomials/Polynomials/ and Factoring.
For example,
"If the length of a rectangle is 3x-2 and the width is 3x-1, what expression will represent the area of a rectangle."
If a rectangle has a width of 3x-y & length of 5x^2+y^3, what is the area?
[Factoring the Polynomials]
2x^2-8x^4
6x^2+7x-10
Please help ! Thank you
1 solutions
Answer 353772 by stanbon(57337) on 2011-12-02 13:29:20 (Show Source):
You can put this solution on YOUR website!If the length of a rectangle is 3x-2 and the width is 3x-1, what expression will represent the area of a rectangle.
----
Area = length * width = (3x-2)(3x-1) = 9x^2-9x+2
------------------------------------------------------------
If a rectangle has a width of 3x-y & length of 5x^2+y^3, what is the area?
Area = (3x-y)(5x^2+y^3) = 15x^3+3xy^3-5x^2y-y^4
---------------------------------------------------
[Factoring the Polynomials]
2x^2-8x^4 = 2x^2(1-4x^2) = 2x^2(1-2x)(1+2x)
-------
6x^2+7x-10 = 6x^2+12x-5x-10
= 6x(x+2)-5(x+2)
---
= (x+2)(6x-5)
====================
Cheers,
Stan H.
====================
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Percentage-and-ratio-word-problems/540592: If a crew of 3 people take 2 ˝ hours to clean a house, then how long should a crew of 2 take to clean the same house? Assume that all people in the cleaning crew work at the same steady rate.
1 solutions
Answer 353770 by stanbon(57337) on 2011-12-02 13:23:22 (Show Source):
You can put this solution on YOUR website!If a crew of 3 people take 2 ˝ hours to clean a house, then how long should a crew of 2 take to clean the same house? Assume that all people in the cleaning crew work at the same steady rate.
----
# of hrs and # of people are indirectly ralated.
----
hrs = k/p
Solve for "k" using "If a crew of 3 people take 2 ˝ hours to clean a house"
---
(5/2) = k/3
k = 15/2
---
Equation:
hrs = (15/2)/p
---
how long should a crew of 2 take to clean the same house?
hrs = (15/2)/2
hrs = 15/4 = 3 3/4 hrs
============================
Cheers,
Stan H.
==================
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Money_Word_Problems/540573: How long does it take for an investment to double in value if it is investedat 6% compounded monthly? Compounded contiuously?
1 solutions
Answer 353768 by stanbon(57337) on 2011-12-02 13:18:34 (Show Source):
You can put this solution on YOUR website!How long does it take for an investment to double in value if it is invested at 6% compounded monthly?
----
A(t) = Ao*(1+(r/n))^(nt)
2Ao = Ao*(1+(0.06/12))^(12t)
(1.005)^(12t) = 2
(12t) = log(2)/(log1.005) = 139
t = 11.58 Years
=======================
Compounded contiuously?
A(t)= Ao*e^rt
Solve: e^(0.06t) = 2
0.06t = ln(2)
t = 11.55 years
====================
Cheers,
Stan H.
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Probability-and-statistics/540549: suppose you roll a 10-sided die (with numbers 1 through 10). What should you expect the average outcome to be?
1 solutions
Answer 353764 by stanbon(57337) on 2011-12-02 11:42:08 (Show Source):
You can put this solution on YOUR website!uppose you roll a 10-sided die (with numbers 1 through 10). What should you expect the average outcome to be?
---
average = expected value
= (1/10)(1+2+3+....+10)
= (1/10)(10/2)(11)
= 11/2
= 5.5
======================
Cheers,
Stan H.
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Probability-and-statistics/540378: The average yearly snowfall in Deer Park is normally distributed with a mean of 55 inches. If the snowfall in Deer Park exceeds 60 inches in 15% of the years, what is the standard deviation?
1 solutions
Answer 353737 by stanbon(57337) on 2011-12-02 08:46:32 (Show Source):
You can put this solution on YOUR website!The average yearly snowfall in Deer Park is normally distributed with a mean of 55 inches. If the snowfall in Deer Park exceeds 60 inches in 15% of the years, what is the standard deviation?
---
Draw a picture of the normal curve with the given facts.
Find the z-value with a right tail of 15%.
invNorm(0.85) = 1.0364
---------
Use x = zs + u to find the standard deviation.
60 = 1.0364s + 55
---
1.0364s = 5
s = 4.82 inches
======================
Cheers,
Stan H.
==============
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Probability-and-statistics/540429: 1)You order fourteen burritos to go from a Mexican restaurant, five with hot peppers and nine without. However, the restaurant forgot to label them. If you pick three burritos at random, find the probability of the given event. (Round your answer to three decimal places.)
At most two have hot peppers.
2)You order seventeen burritos to go from a Mexican restaurant, nine with hot peppers and eight without. However, the restaurant forgot to label them. If you pick four burritos at random, find the probability of the given event. (Round your answer to three decimal places.)
Exactly one has hot peppers.
1 solutions
Answer 353734 by stanbon(57337) on 2011-12-02 08:38:57 (Show Source):
You can put this solution on YOUR website!1)You order fourteen burritos to go from a Mexican restaurant, five with hot peppers and nine without. However, the restaurant forgot to label them.
-------------------
If you pick three burritos at random, find the probability of the given event. (Round your answer to three decimal places.)
At most two have hot peppers.
------
Binomial Problem with n = 3 ; p(hot) = 5/9
---
P(0<= x <=2) = 1 - P(x = 3)
= 1 - (5/9)^3
---
= 1 - 0.1715
= 0.8285
==============
Cheers,
Stan H.
==============
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