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Recent problems solved by 'stanbon'
stanbon answered: 57314 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 , 57270..57299 , 57300..57329, >>Next
Polynomials-and-rational-expressions/77151: I would like you to help me. Please tell me if I'm doing this right, if I am what would the next step be. The directions say solve the equation by cross multiplying.
x+3/x+1 = x+4/x+5
(x+3)*(x-5) = (x+1)*(x+4)
x^2+3x-5x-15 = x^2-x+4x-4
x^2-5x-15 = x^2+3x-4
Any help would be greatly appricated.
1 solutions
Answer 55282 by stanbon(57387)   on 2007-04-05 19:36:43 (Show Source):
You can put this solution on YOUR website!(x+3)/(x+1) = (x+4)/(x+5)
(x+3)*(x+5) = (x+1)*(x+4)
x^2+3x+5x+15 = x^2+x+4x+4
x^2+8x+15 = x^2+5x+4
3x+11=0
x=-11/3
==========
Cheers,
stan H.
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Sequences-and-series/77148: Question The value of the nth term in a sequence is given by
the expression -5n + 2. What does the start of the sequence look like?
1 solutions
Answer 55278 by stanbon(57387) on 2007-04-05 18:45:20 (Show Source):
You can put this solution on YOUR website!Question The value of the nth term in a sequence is given by
the expression -5n + 2. What does the start of the sequence look like?
-----
If you assume the sequence is arithmetic you have:
5th term = a(1)+(5-1)d= -5n+2
You don't know a(1) and you don't know "d" so all you could
say is a(1) = -5n+2-4d
--------
Cheers,
Stan H.
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Expressions-with-variables/77145: Hello out there,I don't know if I'm in the wrong area or not but I need some help with some variation problems,the first one is,Assume that y varies inversely as x,and y=18 when x=3.Find the constant of variation.The next one is,Assume that y varies inversely as x.If y=8 when x=2.5,find x when y=2.The next one is,Is it true that 1-y=2x is a direct variation,or is it false.And the last one is,well this one is really confusing,it's something about domain problems,A teacher wises to schedule a quiz or exam during part of a two-hour class.The equation L+E=120 can be used to find the available lecture time "L" given that "E" minutes are planned for the quiz or exam.Determine the ordered pairs that satisfy the equation if the domain is {20,30,45,60}.Thank you for whoever can assit me.
1 solutions
Answer 55277 by stanbon(57387) on 2007-04-05 18:39:12 (Show Source):
You can put this solution on YOUR website!Assume that y varies inversely as x,and y=18 when x=3.Find the constant of variation.
y=k/x
18=k/3
k= 54
------------
Assume that y varies inversely as x.If y=8 when x=2.5,find x when y=2.
y=k/x
8=k/2.5
k=20
EQUATION:
y=k/x
2=20/x
x=20/2=10
----------
Is it true that 1-y=2x is a direct variation,or is it false.
Solve for y:
y=1-2x
Not a direct variation.
------------
A teacher wises to schedule a quiz or exam during part of a two-hour class.The equation L+E=120 can be used to find the available lecture time "L" given that "E" minutes are planned for the quiz or exam.Determine the ordered pairs that satisfy the equation if the domain is {20,30,45,60}.
If L=20, E=100
If L=30, L=90
If L=45, L=75
If L=60, L=60
---------------
Cheers,
Stan H.
|
Probability-and-statistics/76798: I am trying to help my child and I am stuck on this question. Please help
A plastics company has extended its warranty policy. The policy says that the product will perform a min of 5,000 hrs. If they have a failure before that time, a refund of 25.00 will be given. The failure distribution for this line is X=6250 hours and sigma= 700 hours.1)If the company sells 10,000 units what cost could be expected from the policy? 2) What alternatives are available to control the failures at 1/2 of 1%?
I appreciate it.
1 solutions
Answer 55242 by stanbon(57387) on 2007-04-05 10:46:07 (Show Source):
You can put this solution on YOUR website!The information you have provided allows you to calculate
the probability of getting the $25 because of a failure
in less than 5000 hrs. That probability is 0.03707
So you can expect to get 0.03707*25=$0.9268
BUT you did not post the money gain or loss associated
with other failure times. So its not possible to answer
your question.
You can figure out the probability of the failure occuring
at 10,000 or more hours; that would be 0.0000000423667, but
if there is no gain or loss associated with that you cannot
calculate the expected gain or loss.
-------
Also, that last question aboutcontrolling the failures at
1/2 of 1% is a mystery based on the information you have posted.
Hope this helps.
Cheers,
Stan H.
|
Probability-and-statistics/76817: in a bag are 7 pennies, 4 nickels, and 5 dimes. three coins are selected at random. find the probability of each of the following selections.
a.all 3 pennies b.all 3 nickels c.all 3 dimes d.2 pennies,1 dime e.1 penny,1 dime,1 nickel f.1 dime, 2 nickels
1 solutions
Answer 55240 by stanbon(57387) on 2007-04-05 10:22:58 (Show Source):
You can put this solution on YOUR website!in a bag are 7 pennies, 4 nickels, and 5 dimes. three coins are selected at random. find the probability of each of the following selections.
a.all 3 pennies
7C3/16C3 = 0.0625
---------
b.all 3 nickels
4C3/16C3 = 4/560 = 0.0071
-------------
c.all 3 dimes
5C3/16C3 =
OK. Do you see the picture?
cheers,
Stan H.
d.2 pennies,1 dime e.1 penny,1 dime,1 nickel f.1 dime, 2 nickels
|
Probability-and-statistics/76903: 3 letters and three numbers how many different posiabilities?
ask 3 strangers what there b-day is
how many on Wednesday
how many on different day of week
non born on saturday
1 solutions
Answer 55238 by stanbon(57387) on 2007-04-05 10:03:32 (Show Source):
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Polynomials-and-rational-expressions/77085: Business and finance. The cost, in dollars, of typing a term paper is given as
3 times the number of pages plus 20. Use y as the number of pages to be typed and write a polynomial to describe this cost. Find the cost of typing a 50-page paper. Show your work.
This is my answer is it write?
3y + 20, $169
1 solutions
Answer 55236 by stanbon(57387) on 2007-04-05 09:59:53 (Show Source):
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Probability-and-statistics/77019: Statistics. Sam must have an average of 70 or more in his summer course to
obtain a grade of C. His first three test grades were 75, 63, and 68. how do I an inequality representing the score that Sam must get on the last test to get a C grade.
1 solutions
Answer 55178 by stanbon(57387) on 2007-04-04 20:26:29 (Show Source):
You can put this solution on YOUR website!Sam must have an average of 70 or more in his summer course to
obtain a grade of C. His first three test grades were 75, 63, and 68. how do I an inequality representing the score that Sam must get on the last test to get a C grade.
-----------------
Let the score on the last test be "x".
EQUATION:
[75+63+68+x}/4 = 70
You divide by 4 to get the average of the 4 test scores.
[75+63+68+x] = 280
206+x=280
x=74
He needs a score of 74 on the final test to get a C grade.
---------
Cheers,
Stan H.
|
Polynomials-and-rational-expressions/76863: PLEASE HELP ME I AM JUST NO GOOD WITH WORD PROBLEMS?
Number problem. If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers?
1 solutions
Answer 55128 by stanbon(57387) on 2007-04-03 23:02:25 (Show Source):
You can put this solution on YOUR website!Number problem. If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers?
---------------
Let 1st integer be "x"
Next integer is "x+1"
EQUATION:
(3/5)(x+1) - (1/2)(x)=3
Multiply thru by 10 to get:
6x+6 - 5x = 30
x=24
x+1 = 25
-----------
Cheers,
Stan H.
|
Miscellaneous_Word_Problems/76871: This math problem is on a take home quiz that I am allowed to get help on from anybody. I'm in Algerbra II.
Question:
What is the probability of NOT drawing a pair of aces from a standard 52-card deck when 2 cards are randomly drawn without replacement?
1 solutions
Answer 55127 by stanbon(57387) on 2007-04-03 22:55:59 (Show Source):
You can put this solution on YOUR website!What is the probability of NOT drawing a pair of aces from a standard 52-card deck when 2 cards are randomly drawn without replacement?
----------
Prob of draw two aces is [4C2]/[52C2] =(4/52)(3/51)
Then:
Prob of not drawing two aces = 1 -[(4/52)(3/51)]
-------------
Cheers,
Stan H.
|
logarithm/76388: you deposit $2000 in an account that pays 2% annual interest compounded quarterly. How long will it take for the balance to reach $2400?
I have having trouble completing this problem, please help with the steps.
Tx, H
1 solutions
Answer 54793 by stanbon(57387) on 2007-03-29 22:36:58 (Show Source):
You can put this solution on YOUR website!you deposit $2000 in an account that pays 2% annual interest compounded quarterly. How long will it take for the balance to reach $2400?
----------
Formula: A = P(1 + r/n)^(nt)
2400 = 2000(1 + 0.02/4)^(4t)
1.2 = 1.005^(4t)
Take the log of both sides to get:
log(1.2) = 4tlog(1.005)
4t = log(1.2)/log(1.005)
4t=36.56
t=9.14 years.
==============
Cheers,
Stan H.
|
Quadratic_Equations/76383: Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation. Use the vertex form to find the maximum area.
Answer:
Show work in this space.
1 solutions
Answer 54790 by stanbon(57387) on 2007-03-29 22:27:12 (Show Source):
You can put this solution on YOUR website!Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation. Use the vertex form to find the maximum area.
----------------
400=2l+2w
200=l+w
Area = lw
l=200-w
Substitute to get:
Area = (200-w)w
Area = 200w-w^2
This is a quadratec with a=-1, b=200
Maximum occurs at w=-b/2a = -200/-2 = 100
Then length = 200-width = 100 ft
---------------
Using the vertex form on -w^2+200= Area
w^2-200w = -Area
Complete the square:
w^2-200w+100^2 = 100^2-Area
(w-100)^2 = 10000-Area
Vertex is (100,10000) meaning the width is 100 ft and
the Area is 10,000.
==============
Cheers,
Stan H.
Answer:
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Percentage-and-ratio-word-problems/76367: If the cost of calls with phone company TLC represents a proportional relation, which list shows the cost of calls that last 1 minute, 2 minutes, 3 minutes, and 4 minutes?
a. $1.50, $2.50, $3.50, $4.50
b. $1.25, $2.50, $5.00, $10.00
c. $1.00, $2.00, $4.00, $7.00
d. $0.25, $0.50, $0.75, $1.00
1 solutions
Answer 54773 by stanbon(57387) on 2007-03-29 20:38:39 (Show Source):
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Probability-and-statistics/76064: Can someone help solve the questions that i screwed up on, on my last test. please show step by step procedure to solving these problems. ThankYou Please Help.
1. If the mean height of a women in the U.S.(20-29) is 64.0 and the standard deviation is 2.8.... What is the height that seperates the bottom 20% of women from the top 80% of women? (show standard normal graph with z-scores).
2. A random sample of 41 men were measured in height. If the mean height was 69.6 with a standard deviation of 2.426 find the 99% confidence interval for the population mean. Assume that the population standard deviation is unknown. Also assume the heights are approximately normally distributed. Round off your final answer to 2 decimal places.
3. Suppose a probability experiment consists of tossing a fair coin 200 times. Assume that heads or tails are equally likely to occur on any 1 toss. What is the probablity that the number of tails is at least 96. Round your final answer to 3 significant digits. Sketch the standard normal graph.
4. A book of 350 pages contains 525 random misprint error(s). What is the probability of exactly 2 error(s) on a randomly selected page? (Round probability to 3 decimal places. Round the meaan=((#errors)+(#pages)) to the nearest thousandth.)
b. What is the probability of no more than 3 error(s) on any one page?
1 solutions
Answer 54772 by stanbon(57387) on 2007-03-29 20:35:21 (Show Source):
You can put this solution on YOUR website!1. If the mean height of a women in the U.S.(20-29) is 64.0 and the standard deviation is 2.8.... What is the height that seperates the bottom 20% of women from the top 80% of women? (show standard normal graph with z-scores).
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Find the z-score that corresponds to the bottom 20% of the area under the curve:
Use InVNorm if you have a TI calculator
InvNorm(0.20)= -0.841621
Now find the raw score or "x-score" corresponding to the z-score:
-0.841621 = (x-64)/2.8
x-64= -2.356539
x = 61.64 inches
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2. A random sample of 41 men were measured in height. If the mean height was 69.6 with a standard deviation of 2.426 find the 99% confidence interval for the population mean. Assume that the population standard deviation is unknown. Also assume the heights are approximately normally distributed. Round off your final answer to 2 decimal places.
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E=z*(sigma/sqrt(n))
E=2.575829303(2.426/sqrt(41)=0.9759238861
CI: x-bar-E
CI: 69.6-0.9759238861 <=mu <= 69.6+0.9759238861
CI: (68.024,69.975923)
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The TI-83 gives the following CI:
(68.604,70.596)
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3. Suppose a probability experiment consists of tossing a fair coin 200 times. Assume that heads or tails are equally likely to occur on any 1 toss. What is the probablity that the number of tails is at least 96. Round your final answer to 3 significant digits. Sketch the standard normal graph.
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it's binomial:
n=200 ; p=1/2 ; x>=96
Use 1-binomcdf(200,0.5,95)= 0.7377
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4. A book of 350 pages contains 525 random misprint error(s). What is the probability of exactly 2 error(s) on a randomly selected page? (Round probability to 3 decimal places. Round the mean=((#errors)+(#pages)) to the nearest thousandth.)
I'll have to think about this.
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b. What is the probability of no more than 3 error(s) on any one page?
Similarly.
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Cheers,
Stan H.
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Functions/76319: given f(x)= 4x/x+2, find f-1(x) (inverse of function x)
1 solutions
Answer 54767 by stanbon(57387) on 2007-03-29 18:02:29 (Show Source):
You can put this solution on YOUR website!f(x)= 4x/x+2, find f-1(x)
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Interchange x and y to get the inverse.
x= y/y+2
Solve for "y":
yx+2x=y
yx-y=-2x
y(x-1)=-2x
y=-2x/(x-1)
That is the inverse.
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Cheers,
Stan H.
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Polynomials-and-rational-expressions/76322: The amount of an investment of P dollars for t years at simple interest rate r is given by A = P + Prt.
a) Rewrite this formula by factoring out the greatest common factor on the right hand side.
b) Find A if $8300 is invested for 3 years at a simple interest rate of 15%.
1 solutions
Answer 54765 by stanbon(57387) on 2007-03-29 17:52:52 (Show Source):
You can put this solution on YOUR website!The amount of an investment of P dollars for t years at simple interest rate r is given by A = P + Prt.
a) Rewrite this formula by factoring out the greatest common factor on the right hand side.
A = P(1+rt)
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b) Find A if $8300 is invested for 3 years at a simple interest rate of 15%.
A = 8300(1+(0.15)*3)
A = 8300(1.45)
A = $12,035
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Cheers,
Stan H.
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Polynomials-and-rational-expressions/76304: Please help me to solve this equation using the zero-factor property.
5x^2+12=23x
1 solutions
Answer 54752 by stanbon(57387) on 2007-03-29 16:16:15 (Show Source):
You can put this solution on YOUR website!5x^2+12=23x
5x^2-23x+12=0
ac=60 and b=-23
Two numbers whose product is 60 and whose sum is -23 are -20 and -3.
Rewrite the problem replacing the -23x with -20x and -3x.
5x^2-20x-3x+12=0
Factor the fist two and the last two terms separately, as follows:
5x(x-4)-3(x-4)=0
Factor out the common factor to get:
(x-4)(5x-3)=0
One of the two factors must be zero.
If x-4=0, x=4
If 5x-3=0, x=3/5
Solution: x=4 or x=3/5
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Cheers,
Stan H.
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Quadratic_Equations/76279: I really need some help with this. Please. Find the axis of symmetry.
Y = x^2 + 5x -9
Thanks
1 solutions
Answer 54742 by stanbon(57387) on 2007-03-29 12:56:13 (Show Source):
You can put this solution on YOUR website!Find the axis of symmetry.
Y = x^2 + 5x -9
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There are at least two ways to do this:
1st: Find the x-value of the max point at x=-b/2a
x=-5/2
That is the axis of symmetry.
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2nd: Put in vertex form:
y+9 = x^2+5x
Complete the square to get:
x^2+5x+(5/2)^2 = y+9+(5/2)^2
Factor to get:
(x+(5/2))^2 = y+(61/4)
This tells you the vertex is at ((-5/2),(-61,4))
Axis of symmetry is x=-5/2
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Cheers,
Stan H.
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Square-cubic-other-roots/76292: This question is from textbook Alegbra Concepts and Applications
Please help to simplify
3i - 2i^2 + 3
DIvided by
the square root of -16 - the square root of -2 times the square root of -2
1 solutions
Answer 54741 by stanbon(57387) on 2007-03-29 12:03:22 (Show Source):
You can put this solution on YOUR website!simplify
3i - 2i^2 + 3
DIvided by
the square root of -16 - the square root of -2 times the square root of -2
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[3i -2i^2 + 3]/[sqrt(-16) -(sqrt(-2)*sqrt(-2))]
=[3i + 2 + 3]/[4i -(isqrt(2))^2]
=[3i+5]/[4i - (-2)]
=[5+3i]/[2+4i]
Multiply numerator and denominator by 2-4i to get:
=(5+3i)(2-4i)/20
=(22-14i)/20
=(11-7i)/10
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Cheers,
Stan H.
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