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Recent problems solved by 'stanbon'
stanbon answered: 57154 problems
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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179, >>NextProbability-and-statistics/417722: A supplier shipped a lot of six parts to a company. The lot contained three defective parts. Suppose the customer decided to randomly select two parts and test them for defects. How large a sample space is the customer potentially working with? List the sample space. Using the sample space list, determine the probability that the customer will select a sample with exactly one defect.
1 solutions
Answer 292429 by stanbon(57222)   on 2011-03-05 07:34:21 (Show Source):
You can put this solution on YOUR website!A supplier shipped a lot of six parts to a company. The lot contained three defective parts. Suppose the customer decided to randomly select two parts and test them for defects.
How large a sample space is the customer potentially working with?
6C2 = 15
List the sample space.
Use A,B,C for defective
Use a,b,c for the not defective
List the 15 pairs
Aa,Ab,Ac
Ba,Bb,Bc
Ca,Cb,Cc
AA,AB,AC
aa,bb,cc
------------------------------
Using the sample space list, determine the probability that the customer will select a sample with exactly one defect.
---
P(1 defect) = 9/15
Cheers,
Stan H.
|
Probability-and-statistics/417737: the question is from the book fundamentals of quality control and improvement by amitava mitra chapter 4 ,
the settling of unwanted material in mold is causing some defects in the output , based on the recent data it is found that 5% of the out put has one or more defects . in spot checking some parts , inspector randomly selects two parts find the probabilities that
a. the first part is defect free
b. the second part is defect free
c. both parts are defect free
d. one of the parts is acceptable
e. at least one part is acceptable
i have read the chapter but could not really get much into this type of problem , any help or idea/advise would be appreciated i was also looking for the manual of the book but could not find if any body has it plz provide
regards
1 solutions
Answer 292428 by stanbon(57222) on 2011-03-05 07:28:35 (Show Source):
You can put this solution on YOUR website!based on the recent data it is found that 5% of the out put has one or more defects . in spot checking some parts , inspector randomly selects two parts find the probabilities that
Sample space: D means defective; N means not defective
DD,DN,ND,NN
a. the first part is defect free::0.95*0.05 + 0.95*0.95 = 0.95
----------------------------------------------
b. the second part is defect free::same as above: 0.95
----------------------------------------------
c. both parts are defect free: 0.95^2 = 0.9025
-------------------------------------------------
d. one of the parts is acceptable::2(0.05*0.95) = 0.095
-------
e. at least one part is acceptable:: 1-(0.05)^2 = 0.9975
===========================================================
Cheers,
Stan H.
|
Probability-and-statistics/417678: In testing a new drug, researchers found that 5% of all patients using it will have a mild side effect. A random sample of 13 patients using the drug is selected. Find the probability that:
(A) exactly three will have this mild side effect
(B) at least two will have this mild side effect.
1 solutions
Answer 292391 by stanbon(57222) on 2011-03-04 22:04:03 (Show Source):
You can put this solution on YOUR website!In testing a new drug, researchers found that 5% of all patients using it will have a mild side effect. A random sample of 13 patients using the drug is selected. Find the probability that:
---
Binomial Problem with n = 13 and p = 0.05
-----
(A) exactly three will have this mild side effect
P(x= 3) = 13C3(0.05)^3(0.95)^10 = 0.0214
------------------------------------------------------
(B) at least two will have this mild side effect.
P(2<= x <=13) = 1 - binomcdf(13,0.05,1) = 0.1354
===================
Cheers,
Stan H.
===================
|
test/417652: If you increase the numerator if by 3 and the denominator by 4, the value of the fraction will be doubled. The denominator of the original fraction is 1 more than the numerator. Find the original fraction.
1 solutions
Answer 292383 by stanbon(57222) on 2011-03-04 20:56:03 (Show Source):
You can put this solution on YOUR website!If you increase the numerator if by 3 and the denominator by 4, the value of the fraction will be doubled. The denominator of the original fraction is 1 more than the numerator. Find the original fraction.
------
Let the original fraction be x/y
----------------------------
Equations:
(x+3)/(y+4) = 2(x/y)
y = x+1
----
Substitute for "y" and solve for "x":
(x+3)/(x+5) = 2(x/(x+1))
----------------------------
Cross-multiply:
(x+3)(x+1) = (x+5)(2x)
---
x^2+4x+3 = 2x^2+10x
x^2+6x-3 = 0
----
x = [-6 +- sqrt(36-4*1*-3)]/2
-----
x = [-6 +- sqrt(48)]/2
-----
x = [-6 +- 4sqrt(3)]/2
-----
x = -3+2sqrt(3)
---
Solve for "y":
y = x+1
y = -2+2sqrt(3)
-----
I doubt that is the answer you are looking for
but that is what your post implies.
===================
Cheers,
Stan H.
|
Probability-and-statistics/417639: A university has 10,000 students of which 6000 are male and 4000 are female. If a class of 30 students is chosen at random from the university population, find the mean and variance of the number of male students.
1 solutions
Answer 292380 by stanbon(57222) on 2011-03-04 20:42:09 (Show Source):
You can put this solution on YOUR website!A university has 10,000 students of which 6000 are male and 4000 are female. If a class of 30 students is chosen at random from the university population, find the mean and variance of the number of male students.
----
Proportion of males = 0.6
----
Mean of males = np = 0.6*6000 = 3600
----
variance of males = sqrt[npq] = sqrt[3600*0.4] = sqrt(1440) = 37.95
============================
Cheers,
Stan H.
==============
|
Triangles/417640: in trinangle ABC angles A and B have the same measure of angle C is 3 degrees more than the measure of either. what are the measures of the three angles?
1 solutions
Answer 292379 by stanbon(57222) on 2011-03-04 20:37:40 (Show Source):
You can put this solution on YOUR website!In triangle ABC angles A and B have the same measure. If angle C is 3 degrees more than the measure of either. what are the measures of the three angles?
measure of A = x
measure of B = x
measure of C = x+3
-----
Equation:
x + x + x+3 = 180
3x+3 = 180
3x = 177
x = 59 degrees
A = 59 degrees
B = 59 degrees
C = 62 degrees
=================
Cheers,
Stan H.
=================
|
Probability-and-statistics/417646: 1. If the claim says that the population mean is greater than 200 and the sample mean is 215, we can say that the claim is true even without a formal test.
2. A value of r = 0.851 shows that there is very little linear relationship between the two variables being compared.
3. A value of r = 0.158 shows that there is very little relationship of any kind between the variables being compared.
Thank you so very much
1 solutions
Answer 292378 by stanbon(57222) on 2011-03-04 20:33:37 (Show Source):
You can put this solution on YOUR website!1. If the claim says that the population mean is greater than 200 and the sample mean is 215, we can say that the claim is true even without a formal test.
Sure. The mean of a sample can be any number.
---------------------------------------------------
2. A value of r = 0.851 shows that there is very little linear relationship between the two variables being compared.
False
---------------------------------------------------
3. A value of r = 0.158 shows that there is very little relationship of any kind between the variables being compared.
True
===========================
Cheers,
Stan H.
========
|
Quadratic-relations-and-conic-sections/417649: I am working on parabola and i get the fundmentals but i am having alittle issue when doing this problem f(x)=-3(x-2)square+1
I have to find 2 points using square root property
1 solutions
Answer 292374 by stanbon(57222) on 2011-03-04 20:28:16 (Show Source):
You can put this solution on YOUR website!f(x)=-3(x-2)^2+1
I have to find 2 points using square root property
----------------
You have already completed the square.
---
If x = 2 you get y = -3*0+1 = 1
If x = 3 you get y = -3*1+1 = -2
---
Cheers,
Stan H.
======
|
Travel_Word_Problems/417651: if an elk travels 45 miles per hour (maximum), how how fast will he go at feet per seconds (maximum)?
1 solutions
Answer 292373 by stanbon(57222) on 2011-03-04 20:24:12 (Show Source):
You can put this solution on YOUR website!if an elk travels 45 miles per hour (maximum), how how fast will he go at feet per seconds (maximum)?
--------
45(mi/hr)(5280 ft/1 mi)(1 hr/3600 sec) = 237600/3600 = 66 ft/sec
========================================================
Cheers,
Stan H.
|
Probability-and-statistics/417624: A recent study of cardiovascular risk factors reports that 30% of adults meet the criteria for hypertension. If 15 adults are assessed, what is the probability that:
a. Exactly 15 meet the criteria for hypertension?
b. None meet the criteria for hypertension?
c. Less than or equal to 7 meet the criteria for hypertension?
Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12.
a. What proportion of people have diastolic blood pressures less that 90?
b. What proportions have diastolic blood pressures between 80 and 90?
c. If someone has a diastolic blood pressure of 100, what percentile does this represent?
1 solutions
Answer 292367 by stanbon(57222) on 2011-03-04 19:50:57 (Show Source):
You can put this solution on YOUR website!A recent study of cardiovascular risk factors reports that 30% of adults meet the criteria for hypertension. If 15 adults are assessed, what is the probability that:
---
Binomial Problem with n=15 and p = 0.3
----------
a. Exactly 15 meet the criteria for hypertension?:::0.3^15
------------------------------------------------------------------
b. None meet the criteria for hypertension?::0.7^15
------------------------------------------------------------------
c. Less than or equal to 7 meet the criteria for hypertension?
binomcdf(15,0.3,7) = 0.9500
======================================================================
Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12.
a. What proportion of people have diastolic blood pressures less that 90?
z(90) = (90-85)/12 = 0.4167
P(x<90) = P(z<0.4167) = normalcdf(-100,0.4167) = 0.6616
==================================================================
b. What proportions have diastolic blood pressures between 80 and 90?
Find the z-values and find the proportion between them.
----------------------------
c. If someone has a diastolic blood pressure of 100, what percentile does this represent?
On a normal distribution the probability of any particular value is zero.
==============================================================
Cheers,
Stan H.
|
Probability-and-statistics/417634: what is the probability that the mean MPG for a random sample of 25 light vehicles is between 20 and 25? under 20?
under 20 --> 21-20/2.9 = .34
between 20 and 25 --> 21-25/2.9 = -1.38
25-20/2.9 = 1.72 in the z table 1.72 = .9572
I'm not sure what else to do.
Thank you.
1 solutions
Answer 292356 by stanbon(57222) on 2011-03-04 19:34:05 (Show Source):
You can put this solution on YOUR website!what is the probability that the mean MPG for a random sample of 25 light vehicles is between 20 and 25? under 20?
under 20 --> 21-20/2.9 = .34
between 20 and 25 --> 21-25/2.9 = -1.38
25-20/2.9 = 1.72 in the z table 1.72 = .9572
I'm not sure what else to do.
----------------------
I can't figure out your posted data.
You have z-scores but you are using different mean values.
What's going on?
Cheers,
Stan H.
|
Mixture_Word_Problems/417633: PLEASE
If 5 men to paint five flagpoles in 5 hours, how many men are needed to paint the 15 flagpoles in 15 hours?
.
I know we should use rate here..but i don't know how :(
1 solutions
Answer 292351 by stanbon(57222) on 2011-03-04 19:28:27 (Show Source):
You can put this solution on YOUR website!If 5 men to paint five flagpoles in 5 hours, how many men are needed to paint the 15 flagpoles in 15 hours?
-----
# of men and hours are inversely related
# of men # of flagpoles are directly related
---
men = k*poles/hrs
----
Solve for "k" using "5 men paint five flagpoles in 5 hours"
---
5 = k*5/5
k = 5
----
Equation:
# of men = 5*poles/hrs
----
Solve "how many men are needed to paint the 15 flagpoles in 15 hours?".
# of men = 5*15/15
----
# of men = 5
====================
Cheers,
Stan H.
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Equations/417593: I have been working on this word problem awhile and haven't come up with an answer yet. Can you please help me?
A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 4cm more than the shorter leg and the hypotenuse 8 cm more than the shorter leg. How long should the sides of the triangle be?
The sides are_________
1 solutions
Answer 292335 by stanbon(57222) on 2011-03-04 17:16:58 (Show Source):
You can put this solution on YOUR website!A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 4cm more than the shorter leg and the hypotenuse 8 cm more than the shorter leg. How long should the sides of the triangle be?
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short leg = x
longer leg = x+4
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hypotenuse = x+8
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x^2 + (x+4)^2 = (x+8)^2
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x^2 + x^2+8x+16 = x^2+16x+64
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x^2-8x-48 = 0
(x-12)(x+4) = 0
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Positive solution:
x = 12 (shorter)
x+4 = 16 (longer)
x+8 = 20 (hypotenuse)
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Cheers,
Stan H.
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Equations/417592: Can you please help me with this word problem? I have been working on this problem forever and yet to get an answer.
Several hours after departure the two ships described to the right are 340 miles apart. If the ship traveling south traveled 140 miles farther than the other, how many miles did they each travel?
How far did the eastbound ship travel? ________ miles
How far did the southbound ship travel? ________ miles
1 solutions
Answer 292333 by stanbon(57222) on 2011-03-04 17:11:26 (Show Source):
You can put this solution on YOUR website!Several hours after departure the two ships described to the right are 340 miles apart. If the ship traveling south traveled 140 miles farther than the other, how many miles did they each travel?
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You have a right triangle with legs x and "x+140" and hypotenuse 340 miles
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Solve:
x^2 + (x+140)^2 = 340^2
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x^2 + x^2 + 280x + 140^2 - 340^2 = 0
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2x^2 + 280x - 96000 = 0
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x^2 + 140x - 48000 = 0
(x-160)(x+300) = 0
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Positive solution:
x = 160 miles (eastbound ship)
x+140 = 300 miles (southbound ship)
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Cheers,
Stan H.
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How far did the eastbound ship travel? ________ miles
How far did the southbound ship travel? ________ miles
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Rate-of-work-word-problems/417545: A moving sidewalk at an airport is glides at a rate of 1.8 feet per second. Walking on the moving sidewalk, you travel 105 feet forward in the same time it takes to travel 50 feet in the opposite direction. Assuming that you walk at the same pace, find your walking speed if you were on a flat, non-moving sidewalk. Round to the nearest tenth.
1 solutions
Answer 292331 by stanbon(57222) on 2011-03-04 17:00:26 (Show Source):
You can put this solution on YOUR website!A moving sidewalk at an airport is glides at a rate of 1.8 feet per second. Walking on the moving sidewalk, you travel 105 feet forward in the same time it takes to travel 50 feet in the opposite direction. Assuming that you walk at the same pace, find your walking speed if you were on a flat, non-moving sidewalk. Round to the nearest tenth.
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Let persons rate be p
Sidewalk rate is 1.8 ft/sec
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Walking with the movement:
distance = 105 ft ; rate = p+1.8 ft/sec ; time = 105/(p+1.8) seconds
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Walking against the movement:
distance = 50 ft ; rate = p-1.8 ft/sec ; time = 50/(p-1.8)
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Equation:
time = time
105/(p+1.8) = 50/(p-1.8)
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21/(p+1.8) = 10/(p-1.8)
21(p-1.8) = 10(p+1.8)
11p = (10+21)1.8
p = 5.07 ft/sec (the person's rate on flat ground)
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Cheers,
Stan H.
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Linear_Equations_And_Systems_Word_Problems/417580: A self-employed contractor nearing retirement made two investments totaling $15,000. In one year, these investments yielded $1023 in simple interest. Part of the money was invested at 6% and the rest at 7.5%. How much was invested at each rate?
1 solutions
Answer 292326 by stanbon(57222) on 2011-03-04 16:33:56 (Show Source):
You can put this solution on YOUR website!A self-employed contractor nearing retirement made two investments totaling $15,000. In one year, these investments yielded $1023 in simple interest. Part of the money was invested at 6% and the rest at 7.5%. How much was invested at each rate?
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Equations:
Quantity: x + y = 15000
Interest0.06x + 0.075y = 1023
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Multiply thru 1st by 6
Multiply thru 2nd by 1000
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6x + 6y = 6*15000
6x + 75y = 1023000
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Subtract and solve for "y":
69y = 933000
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y = $13,521.74 (amt. invested at 7.5%
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Solve for "x":
15000 - y = $1,478.27 (amt. invested at 6%
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Cheers,
Stan H.
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Evaluation_Word_Problems/417578: Hi can you help me determining whether the lines are parallel, perpendicular, or neither. I believe it would parallel but not sure.
y = 2x + 7/5 and y = 2x - 5/7
Thanks :o)
1 solutions
Answer 292324 by stanbon(57222) on 2011-03-04 16:28:16 (Show Source):
You can put this solution on YOUR website!Hi can you help me determining whether the lines are parallel, perpendicular, or neither. I believe it would parallel but not sure.
y = 2x + 7/5 and y = 2x - 5/7
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The slope on both is "2" and the intercepts are not equal,
so the lines are parallel.
Cheers,
Stan H.
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Trigonometry-basics/417568: Determine the domain of  (x) for each given function f(x).
1. f(x)= 1 + 2cos(pi x + pi), -1 is less than or equal to x is less than or equal to 0
2. f(x) =  (5x/6)-pi, -infinity is less than x is less than infinity
1 solutions
Answer 292322 by stanbon(57222) on 2011-03-04 16:23:20 (Show Source):
You can put this solution on YOUR website!Determine the domain of (x) for each given function f(x).
1. f(x)= 1 + 2cos(pi x + pi), -1 <= x <= 0
Interchange x and y to get:
x = 1 + 2cos(pi*y+pi)
Solve for "y":
cos(piy + pi) = (x-1)/2
cos^-1[(x-1)/2)] = pi*y + pi
y = [cos^-1[(x-1)/2)] - pi]/pi
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Domain ?
-1 <= (x-1)/2 <= 1
-2 <= (x-1) <= 2
-1 <= x <= 3
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2. f(x) = (5x/6)-pi, -infinity is less than x is less than infinity
Same procedure.
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Cheers,
Stan H.
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Probability-and-statistics/417569: According to the Center for Disease Control, 41.5% of babies born in the U.S. in 2004 were still being breastfed at 6 months of age. If 4 children who were born
in the U.S. in 2004 are randomly selected, what is the probability that none of them were breastfed for at least 6 months.
I tried everything, I think the none of them is throwing me off.
I thought using P(at least one will not)-P(all will have been breastfed; but then that did not make sense.
Can you help?
Thank you,
Dawn
1 solutions
Answer 292319 by stanbon(57222) on 2011-03-04 16:12:56 (Show Source):
You can put this solution on YOUR website!According to the Center for Disease Control, 41.5% of babies born in the U.S. in 2004 were still being breastfed at 6 months of age.
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If 4 children who were born in the U.S. in 2004 are randomly selected, what is the probability that none of them were breastfed for at least 6 months.
Ans: (1-0.415)^4 = 0.585^4 = 0.1171
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Cheers,
Stan H.
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expressions/417563: dont understand this problem and solution teacher put on board could you help me understand? I dont get it.
4y=2x-10
2y=2(5+2y)-10
4y=10+4y-10
4y-4y=10-10
0=0
=
1 solutions
Answer 292316 by stanbon(57222) on 2011-03-04 16:08:28 (Show Source):
You can put this solution on YOUR website!dont understand this problem and solution teacher put on board could you help me understand? I dont get it.
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I think you missed a line that was on the board:
x = 5+2y
4y = 2x-10
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Substituting for "x" you get the following:
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4y=2x-10
4y=2(5+2y)-10
4y=10+4y-10
4y-4y=10-10
0=0
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Conclusion:
The system of equations is true for all values of x.
The two equation are really the same equation.
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Cheers,
Stan H.
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test/417519: Can you please help me with this math problem? I am having a difficult time with it.
There is a .6 probabilty that an elem tree has Dutch elem disease. An arborist selects 3 elms in the area. Give the sample space that list all of the possible combinations of diseased (D) and not diseased (N) for the 3 trees.
a) what is the probabilty that none of the 3 trees have the Dutch elm disease?
b) what is the probabilty that at lease one of the 3 trees has the Dutch elm disease?
I really appreciate you help with this question. Thank you so much!
1 solutions
Answer 292292 by stanbon(57222) on 2011-03-04 13:45:27 (Show Source):
You can put this solution on YOUR website!There is a .6 probabilty that an elem tree has Dutch elem disease. An arborist selects 3 elms in the area.
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Give the sample space that list all of the possible combinations of diseased (D) and not diseased (N) for the 3 trees.
DDD,DDN,DND,NDD,NND,NDN,DNN,NNN
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a) what is the probabilty that none of the 3 trees have the Dutch elm disease?
P(NNN) = 1/8
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b) what is the probabilty that at least one of the 3 trees has the Dutch elm disease?
P(at least one has) = 1 - P(none has) = 1 - (1/8)
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Cheers,
Stan H.
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Quadratic-relations-and-conic-sections/417514: Explain how to tell from a quadratic equation what type of conic section the equation represents without graphing it.
1 solutions
Answer 292291 by stanbon(57222) on 2011-03-04 13:41:33 (Show Source):
You can put this solution on YOUR website!Explain how to tell from a quadratic equation what type of conic section the equation represents without graphing it.
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Parabola: Either x or y is squared, but not both.
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Circle: Both x and y are squared and both have the same coefficient
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Ellipe: Both x and y are squared but the coefficients are same sign
but different.
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Hyperbola: Both s and y are squared but the coefficients are not
the same sign.
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Cheers,
Stan H.
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Money_Word_Problems/417486: You deposited $5000 in a savings account that has a rate of 11÷ The interest is compounded quarterly. How much money you will have after 9 years?
1 solutions
Answer 292287 by stanbon(57222) on 2011-03-04 13:33:55 (Show Source):
You can put this solution on YOUR website! You deposited $5000 in a savings account that has a rate of 11÷ The interest is compounded quarterly. How much money you will have after 9 years?
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A(t) = P(1+(r/n))^(nt)
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A(9) = 5000(1+(0.11)/4)^(4*9)
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A(9) = 5000(1.0275)^36 = $13277.49
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Cheers,
Stan H.
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