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Recent problems solved by 'stanbon'
stanbon answered: 57351 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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53010..53039 , 53040..53069 , 53070..53099 , 53100..53129 , 53130..53159 , 53160..53189 , 53190..53219 , 53220..53249 , 53250..53279 , 53280..53309 , 53310..53339 , 53340..53369 , 53370..53399 , 53400..53429 , 53430..53459 , 53460..53489 , 53490..53519 , 53520..53549 , 53550..53579 , 53580..53609 , 53610..53639 , 53640..53669 , 53670..53699 , 53700..53729 , 53730..53759 , 53760..53789 , 53790..53819 , 53820..53849 , 53850..53879 , 53880..53909 , 53910..53939 , 53940..53969 , 53970..53999 , 54000..54029 , 54030..54059 , 54060..54089 , 54090..54119 , 54120..54149 , 54150..54179 , 54180..54209 , 54210..54239 , 54240..54269 , 54270..54299 , 54300..54329 , 54330..54359 , 54360..54389 , 54390..54419 , 54420..54449 , 54450..54479 , 54480..54509 , 54510..54539 , 54540..54569 , 54570..54599 , 54600..54629 , 54630..54659 , 54660..54689 , 54690..54719 , 54720..54749 , 54750..54779 , 54780..54809 , 54810..54839 , 54840..54869 , 54870..54899 , 54900..54929 , 54930..54959 , 54960..54989 , 54990..55019 , 55020..55049 , 55050..55079 , 55080..55109 , 55110..55139 , 55140..55169 , 55170..55199 , 55200..55229 , 55230..55259 , 55260..55289 , 55290..55319 , 55320..55349 , 55350..55379 , 55380..55409 , 55410..55439 , 55440..55469 , 55470..55499 , 55500..55529 , 55530..55559 , 55560..55589 , 55590..55619 , 55620..55649 , 55650..55679 , 55680..55709 , 55710..55739 , 55740..55769 , 55770..55799 , 55800..55829 , 55830..55859 , 55860..55889 , 55890..55919 , 55920..55949 , 55950..55979 , 55980..56009 , 56010..56039 , 56040..56069 , 56070..56099 , 56100..56129 , 56130..56159 , 56160..56189 , 56190..56219 , 56220..56249 , 56250..56279 , 56280..56309 , 56310..56339 , 56340..56369 , 56370..56399 , 56400..56429 , 56430..56459 , 56460..56489 , 56490..56519 , 56520..56549 , 56550..56579 , 56580..56609 , 56610..56639 , 56640..56669 , 56670..56699 , 56700..56729 , 56730..56759 , 56760..56789 , 56790..56819 , 56820..56849 , 56850..56879 , 56880..56909 , 56910..56939 , 56940..56969 , 56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239 , 57240..57269 , 57270..57299 , 57300..57329 , 57330..57359, >>NextAge_Word_Problems/127527: A drawing is made to a scale of 1"=1'. What will be the length in the drawing of a distance equal to 4'3"??
1 solutions
Answer 93469 by stanbon(57424)   on 2008-02-18 08:05:35 (Show Source):
You can put this solution on YOUR website!A drawing is made to a scale of 1"=1'. What will be the length in the drawing of a distance equal to 4'3"??
------------
4'3" = 4 1/4 ft.
------------
EQUATION:
x" /4 1/4 ' = 1" / 1'
x" = 4 1/4 "
=================
Cheers,
Stan H.
|
Mixture_Word_Problems/127531: How many gallons of a 25% acid solution must be mixed with 100 gallons of a 6% acid solution to obtain a solution that is 20% acid?
1 solutions
Answer 93468 by stanbon(57424) on 2008-02-18 08:02:24 (Show Source):
You can put this solution on YOUR website!How many gallons of a 25% acid solution must be mixed with 100 gallons of a 6% acid solution to obtain a solution that is 20% acid?
-----------------
25% solution DATA;
Amount = x gallons ; amt. of active ingredient = 0.25x gallons
--------------
6% solution DATA;
Amount = 100 gallons ; amt. of active = 0.06*100 = 6 gallons
----------------
Mixture DATA:
Amt. = 100+x gallons ; amt of active = 0.20(100+x)= 20 + 0.20x gallons
==================
EQUATION:
active + active = active
0.25x + 6 = 20+0.20x
0.05x = 14
x = 280 gallons (amt of 25% solution needed for the mixture)
==============
Cheers,
Stan H.
|
Probability-and-statistics/127434: The Outdoor Furniture Corporation manufactures two products, benches and picnic tables, for use in yards and parks. The firm has two main resources: its carpenters (labor force) and a supply of redwood for use in the furniture. During the next production cycle, 1,200 hours of labor are available under a union agreement. The firm also has a stock of 3,500 feet of good quality redwood. Each bench that Outdoor Furniture produces requires 4 labor hours and 10 feet of redwood: each picnic table takes 6 labor hours and 35 feet of redwood. Completed benches will yield a profit of $9 each, and tables will result in a profit of $20 each. How many benches and tables should Outdoors Furniture produce to obtain the largest possible profit? Use graphical Linear programming approach.
1 solutions
Answer 93449 by stanbon(57424) on 2008-02-17 21:52:43 (Show Source):
You can put this solution on YOUR website!During the next production cycle, 1,200 hours of labor are available under a union agreement.
The firm also has a stock of 3,500 feet of good quality redwood.
----------
Let # of benches produced be "b"; Let # of picnic tables produced be "P".
Each bench that Outdoor Furniture produces requires 4 labor hours and 10 feet of redwood:
each picnic table takes 6 labor hours and 35 feet of redwood.
------------
Labor Inequality: 4b+6p <= 1200
Redwood Inequality: 10b+35p <= 3500
Completed benches will yield a profit of $9 each, and tables will result in a profit of $20 each.
------------------------
Objective Function: Profit = 9b+20p
--------------------------
How many benches and tables should Outdoors Furniture produce to obtain the largest possible profit? Use graphical Linear programming approach.
---------------------------
INEQUALITIES:
Labor: p <= (-2/3)b + 200
Redwood: p <= (-2/7)b + 100
-------------------------------
Graph the solution sets of both inequalities:
-------------------------
Determine the vertices of the solution set:
(0,100), (262.5,25) (300,0)
----------------------
Check each vertex pair in the objective function to see which pair
yields the maximum profit.
Profit = 9b+20p
(0,100) yields: 2000
(262.5,25) yields: 9*262.5+20*25=2862.50
(300,0) yields 9*300 = 2700
---------------------------
Conclusion: maximum comes with 263 benches and 25 picnic tables.
=============================
Cheers,
Stan H.
|
Triangles/127479: In geometry right now we are doing problems with triangles. The triangles are 30-60-90, or 45-45-90 triangles. I was just wondering if you could give me a few notes on how to do this. I am totally lost in this topic right now.
1 solutions
Answer 93427 by stanbon(57424) on 2008-02-17 20:16:51 (Show Source):
|
Polynomials-and-rational-expressions/127497: This problem is not from my textbook it is a worksheet problem.
The instantaneous growth rate of a population is the rate at which it is growing at every instant in time. The instantaneous growth rate r of a colony of bacteria t hours after the start of an experiment is given by the function r=0.01t3-0.03t2+0.08 for 0 is less than or equal to t less than or equal to 7. Find the times for which the instantaneous growth rate is zero.
The answer choices are
2 sec and 4 sec
1 sec, 2 sec, and 4 sec
1 sec
1 sec and 4 sec
1 solutions
Answer 93422 by stanbon(57424) on 2008-02-17 20:10:25 (Show Source):
You can put this solution on YOUR website!The instantaneous growth rate of a population is the rate at which it is growing at every instant in time. The instantaneous growth rate r of a colony of bacteria t hours after the start of an experiment is given by the function r=0.01t3-0.03t2+0.08 for 0 is less than or equal to t less than or equal to 7. Find the times for which the instantaneous growth rate is zero
------------
0.01t^3-0.03t^2+0.08 = 0
-------
Comment: I have seen this problem posted before. You are missing
a term on your equation.
==========
Cheers,
Stan H.
The answer choices are
2 sec and 4 sec
1 sec, 2 sec, and 4 sec
1 sec
1 sec and 4 sec
|
Probability-and-statistics/127492: This question is from textbook fundamentals of maths
i am having difficulty doing these two problems. can you help.
a wallet contains a one-dollar bill,a twenty dollar bill,a five dollar bill, a ten dollar bill. If a bill is chosen at random, find the probability that the value of the bill is less than twenty dollars. Here is how i try to do it.
1+5+10 =16
16 divide 36
1 solutions
Answer 93409 by stanbon(57424) on 2008-02-17 19:35:00 (Show Source):
You can put this solution on YOUR website!a wallet contains a one-dollar bill,a twenty dollar bill,a five dollar bill, a ten dollar bill. If a bill is chosen at random, find the probability that the value of the bill is less than twenty dollars.
---------
# of bills less than twenty dollars: 3
# of bills: 4
P(bill is less than twenty dollars) = 3/4
=================
Cheers,
Stan H.
|
Polynomials-and-rational-expressions/127491: This problem is not from my textbook it is a worksheet problem.
Find the maximum and minimum point of the function and state whether it is a maximum or minimum?
f9x)=x2-16x+66
The answer choices are
(0,8) minimum
(2,0) maximum
(8,2) minimum
(2,8) maximum
1 solutions
Answer 93408 by stanbon(57424) on 2008-02-17 19:32:12 (Show Source):
You can put this solution on YOUR website!Find the maximum and minimum point of the function and state whether it is a maximum or minimum?
f(x)=x^2-16x+66
The answer choices are
(0,8) minimum
(2,0) maximum
(8,2) minimum
(2,8) maximum
-------------------------
max or min occurs where x = -b/2a = 16/2 = 8
Since the parabola opens up there is a minimum at (8,2)
===============
Cheers,
Stan H.
|
Probability-and-statistics/127478: This question is from textbook Applied Statistics in Business and Eco
An auditor reviewed 25 oral surgery insurance claims from a particular surgical office, determining that the mean out-of-pocket patient billing above the reimbursed amount was $275.66 with a standard deviation of $78.11. (a) At the 5 percent level of significance, does this sample prove a violation of the guideline that the average patient should pay no more than $250 out-of-pocket?
State your hypotheses and decision rule. (b) Is this a close decision?
1 solutions
Answer 93407 by stanbon(57424) on 2008-02-17 19:28:46 (Show Source):
You can put this solution on YOUR website!An auditor reviewed 25 oral surgery insurance claims from a particular surgical office, determining that the mean out-of-pocket patient billing above the reimbursed amount was $275.66 with a standard deviation of $78.11. (a) At the 5 percent level of significance, does this sample prove a violation of the guideline that the average patient should pay no more than $250 out-of-pocket?
State your hypotheses and decision rule. (b) Is this a close decision?
-------------------------------
Ho: mu <= 250
Ha: mu > 250
---------------------------
Critical Value for one-tail t-test with alpha = 5% and 24 degrees of freedom
t = 1.711
----------------
Test Statistic:
t(275.66-250)/[78.11/sqrt(25)] = 1.6426
------------------
Conclusion: Fail to reject Ho because the test statistic is less than the
critical value. This sample does not prove a violation of the guideline.
--------
Is it a close decision?: The probability difference between t=1.6426 and
t=1.711 is about 0.0068 which is very small. A slight variation in
the test results could have caused us to reject Ho.
==============
Cheers,
Stan H.
|
Probability-and-statistics/127447: Having trouble with getting breakdown on this, can anyone help?
Facing rising fax costs, a firm issued guidelines that transmissions of 10 pages or more should be done by 2 day mail instead. Exceptions are allowed, they want the average to be 10 or below. A firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages. (a) At the .01 level of significance, is the true mean greater than 10? (b) Use excel to find the right tail – p value.
1 solutions
Answer 93396 by stanbon(57424) on 2008-02-17 18:51:50 (Show Source):
You can put this solution on YOUR website!Facing rising fax costs, a firm issued guidelines that transmissions of 10 pages or more should be done by 2 day mail instead. Exceptions are allowed, they want the average to be 10 or below. A firm examined randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages. (a) At the .01 level of significance, is the true mean greater than 10? (b) Use excel to find the right tail – p value.
---------------
Ho: mu = 10
Ma: mu > 10
---------------------
one-tailed test with alpha=1%; critical value = 2.326
-------------
Test Statistic:
t(14.44) = (14.44-10)/(4.45/sqrt(35)) = 4.44*sqrt(35)/4.45 = 5.90
------------
The test statistic is greater than the critical value so reject Ho.
-------
The p-value = 0.0000000018236...
====================================
Cheers,
Stan H.
|
Expressions-with-variables/126413: This question is from textbook
Biologists tagged 500 fish in a lake on January 1. On February 1 they returned and collected a random sample of 400 fish, 8 of which had been previously tagged. Approximately how many fish does the lake have based on this experiment?
1 solutions
Answer 93357 by stanbon(57424) on 2008-02-17 15:10:41 (Show Source):
You can put this solution on YOUR website!Biologists tagged 500 fish in a lake on January 1. On February 1 they returned and collected a random sample of 400 fish, 8 of which had been previously tagged. Approximately how many fish does the lake have based on this experiment?
---------
Actual population / caught = tagged population /tagged caught
-------------------
Actual pop/ 500 = 400/8
Actual pop = 500(50) = 25,000
==========
Cheers,
Stan H.
|
Functions/127417: suppose 2.4 million lbs of almonds are sold when the price is $5.50 per pound and 4.8 million lbs of almonds are sold at $4.50 per pound. find a linear function, A(p), that expresses the amount of almonds sold as a function of the price per pound.
1 solutions
Answer 93356 by stanbon(57424) on 2008-02-17 15:03:06 (Show Source):
You can put this solution on YOUR website!suppose 2.4 million lbs of almonds are sold when the price is $5.50 per pound and 4.8 million lbs of almonds are sold at $4.50 per pound. find a linear function, A(p), that expresses the amount of almonds sold as a function of the price per pound.
--------
You have two points: (5.5,2.4 million) and (4.5,4.8 million)
----------------
slope = (4.8-2.4)/(4.5-5.5) = -2.4
-------------
equation form y = mx+ b
4.8 = -2.4*4.5 + b
b = 4.8 + 10.8
b = 15.6
-------------
A(p) = -2.4p +15.6 in millions of pounds of almonds.
=============
Cheers,
Stan H.
|
Graphs/127424: Find the mean and the median.
–2,-7/4 ,3/4 , 4, 9
1 solutions
Answer 93355 by stanbon(57424) on 2008-02-17 14:37:18 (Show Source):
You can put this solution on YOUR website!Find the mean and the median.
–2,-7/4 ,3/4 , 4, 9
-----------------------
Mean: Add the numbers and divide by 5 to get 10/5 = 2
================
Median: Find the middle number which is 3/4
The numbers are already in order, smallest to largest.
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Cheers,
Stan H.
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Equations/127423: Hey i have a problem i can't solve this question can you help me. it's solving w.
w/w-1=3/w+1+1
1 solutions
Answer 93354 by stanbon(57424) on 2008-02-17 14:32:40 (Show Source):
You can put this solution on YOUR website!w/w-1=3/w+1+1
w/(w-1) = 3/(w+1) + 1
Multiply thru by (w-1)(w+1) to get:
w(w+1) = 3(w-1) + w^2-1
w^2 + w = 3w - 3 + w^2 -1
-2w = -4
w = 2
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Cheers,
Stan H.
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Miscellaneous_Word_Problems/127305: To estimate animal populations, biologists count the total number of animals in a small section of a habitat. The total population of animals is directly proportional to the size of the habitat (in acres)polled.
There are 3 parts to the question and I'm struggling with setting them up.
a. Write an equation using only one variable that could be used to solve for the constant of variation k.
b. A biologist counted the number of white tail deer in a 100 acre parcel of land in a nature preserve and found 12 deer. Find the constant of variation k.
c. If the entire nature preserve is 2,500 acres, then what is the total white tail deer population in the preserve? Describe how you arrived at your answer.
I would really appreciate someone explaining how to work these 3 parts of the problem. I have several other similar ones and don't think I'll understand those until I understand this one. Thanks for your help!
1 solutions
Answer 93304 by stanbon(57424) on 2008-02-16 21:47:15 (Show Source):
You can put this solution on YOUR website!To estimate animal populations, biologists count the total number of animals in a small section of a habitat. The total population of animals is directly proportional to the size of the habitat (in acres)polled.
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population = k*habitat size
p = k*a
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There are 3 parts to the question and I'm struggling with setting them up.
a. Write an equation using only one variable that could be used to solve for the constant of variation k.
p = k*a
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b. A biologist counted the number of white tail deer in a 100 acre parcel of land in a nature preserve and found 12 deer. Find the constant of variation k.
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12 = k*100
k = 0.12
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c. If the entire nature preserve is 2,500 acres, then what is the total white tail deer population in the preserve? Describe how you arrived at your answer.
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p = 0.12*a
p = 0.12*2500 = 300
========================
Cheers,
Stan H.
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Probability-and-statistics/127352: This question is from textbook Applied Statistics in Business and Economics
I see that the following problem had already been solved, but I want to understand why it was solved the way it was compared to how I thought it should be solved. Thanks in advance for your assistance in this matter!
A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations. (b) Calculate a p-value and interpret it.
Ho: p is equal to .50
Ha: p is not equal to .50
alpha=10%, x=38, n=60, p-hat=.63
Critical value: z=-1.645 and 1.645
(0.63-.50)/sqrt[.50*.50/60]=2.01395134
since z is greater than -1.645 and 1.645, the Ho should be rejected.
p-value=0.022007
Therefore, only 2.2% of test results could have given stronger evidence that the coin is biased away from p=.50
Thanks again for your assistance in this matter!
1 solutions
Answer 93301 by stanbon(57424) on 2008-02-16 21:41:33 (Show Source):
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Rational-functions/127314: If I was to increase and concave the upward behavior of g(x) then this would be my results:
g”(x) <0 & g’(x)>0 Could you tell me if I got the answer correct? Thank you!
1 solutions
Answer 93299 by stanbon(57424) on 2008-02-16 21:38:59 (Show Source):
You can put this solution on YOUR website!If I was to increase and concave the upward behavior of g(x) then this would be my results:
g”(x) <0 & g’(x)>0 Could you tell me if I got the answer correct? Thank you!
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If I understand you correctly, g(x) looks like an exponential function.
The slope is always positive so g'(x)>0.
So g'(x) is always above the x axis and its values are increasing as x increases. I think g'(x) is also an exponential function.
If so g''(x) >0
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Example:
Say g(x)=2^x = e^(xlnx)
Then g'(x) = (lnx)2^x which is also an exponential function.
Therefore g''(x) = lnx(lnx*2^x)+(2^x(1/x)) = 2^x[(lnx)^2+(1/x)]
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Cheers,
Stan H.
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Probability-and-statistics/127322: Suppose that X has a distribution with m=72 and s=8 (greek symbols)
if random samples of size n=16 are selected, can we say anything about the x distribution of sample means?
if the original x distrubution is normal can we say anything about the x distribution of random samples of size 16? Find P(681 solutions
Answer 93297 by stanbon(57424) on 2008-02-16 21:26:15 (Show Source):
You can put this solution on YOUR website!Suppose that X has a distribution with m=72 and s=8 (greek symbols)
if random samples of size n=16 are selected, can we say anything about the x distribution of sample means?
---------------------------------
According to the Central Limit Theorem the mean of the sample means equals
the population mean which is 72, and the standard deviation of the sample
means is 8/sqrt4) = 2 .
=================================
if the original x distrubution is normal can we say anything about the x distribution of random samples of size 16?
The sample means are normally distributed.
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Find P(68
Question: Does "x" refer to population data or sample means?
In either case, find the z-values for 68 and 73; then find
The probability z lies between those two z-values.
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Cheers,
Stan H.
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Equations/127328: Hi Can I have some help with this function?
A function f is given, and the indicated transformations are applied to its graph (in the given order) to obtain the function g. Write the equation for g.
f(x) = x^5; shift upward 8 units and shift 10 units to the left
g(x) =
1 solutions
Answer 93296 by stanbon(57424) on 2008-02-16 21:18:41 (Show Source):
You can put this solution on YOUR website!A function f is given, and the indicated transformations are applied to its graph (in the given order) to obtain the function g. Write the equation for g.
f(x) = x^5; shift upward 8 units and shift 10 units to the left
g(x) = (x+10)^5 + 8
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Cheers,
Stan H.
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Percentage-and-ratio-word-problems/127343: A chemistry experiment calls for a 40% scotch whiskey solution. If your pantry has only a 30% and a 100% solution of a 12 year old scotch, how much of each should be mixed to obtain 14 liters of a 40% for your favorite drink.
1 solutions
Answer 93295 by stanbon(57424) on 2008-02-16 21:15:32 (Show Source):
You can put this solution on YOUR website!A chemistry experiment calls for a 40% scotch whiskey solution. If your pantry has only a 30% and a 100% solution of a 12 year old scotch, how much of each should be mixed to obtain 14 liters of a 40% for your favorite drink.
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Let amount of 30% solution be "x" ; amt. of whiskey is 0.3x liters
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Amt of 100% solution is "14-x" liters ; amt of whiskey is "14-x"
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40% Mixture Data:
Amt = 14 liters ; Amt of whiskey is 0.40(14) = 5.6 liters
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EQUATION:
whiskey + whiskey = whiskey
0.03x + 14-x = 5.6
-0.97x = -8.4
x = 8.6598 liters (amount of 30% solution in the mixture)
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Cheers,
San H.
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Equations/127341: This question is from textbook
Can you help me solve this problem Please.
David has fourteen thousand dollars to invest and he invest nine thousand in a mutual fund that pays twelve per cent annual simple interest. If he wants to make at least twenty two hundred dollars in yearly interest, at what minimum rate does the remainder of the money need to be invested? Thanks so much. Sharon
1 solutions
Answer 93293 by stanbon(57424) on 2008-02-16 21:08:24 (Show Source):
You can put this solution on YOUR website!David has fourteen thousand dollars to invest and he invest nine thousand in a mutual fund that pays twelve per cent annual simple interest. If he wants to make at least twenty two hundred dollars in yearly interest, at what minimum rate does the remainder of the money need to be invested?
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12% investment DATA:
Amount = 9000 dollars ; interest = 0.12(9000) = 1080 dollars
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x% investment DATA:
Amount:5000 ; interest 5000x dollars
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EQUATIOn:
1080 + 5000x >= 2200
5000x >= 1120
x >= 22.4%
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Cheers,
Stan H.
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Linear-equations/127303: What is the solution to the sysytem of equations y=2x and y=-x+3?
Thank You for your time!!
1 solutions
Answer 93259 by stanbon(57424) on 2008-02-16 16:08:06 (Show Source):
You can put this solution on YOUR website!What is the solution to the sysytem of equations y=2x and y=-x+3?
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Substitute to get:
2x = -x+3
3x = 3
x = 1
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Substitute to solve for "y":
y = 2*1 = 2
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Cheers,
Stan H.
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Probability-and-statistics/127279: A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail?
1 solutions
Answer 93256 by stanbon(57424) on 2008-02-16 16:04:59 (Show Source):
You can put this solution on YOUR website!A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail?
Prob(both fail) =0.2*0.2 = 0.04
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Prob(neither will fail) = 0.8*0.8 = 0.64
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Prob(one will fail) = 1-P(none will fail)-Prob(both will fail) = 1-0.68
= 0/32
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Cheers,
Stan H.
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Probability-and-statistics/127276: Given a mean (8.0 hours) and a standard deviation (4.5 hours) of a population, calculate the probability of an event that falls between 5 to 10 hours. This question is due on day 5.
1 solutions
Answer 93247 by stanbon(57424) on 2008-02-16 15:35:54 (Show Source):
You can put this solution on YOUR website!Given a mean (8.0 hours) and a standard deviation (4.5 hours) of a population, calculate the probability of an event that falls between 5 to 10 hours. This question is due on day 5.
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Find the z-score of 5 and of 10:
z(5) = (5-8)/4.5 = -3/4.5 = -1/1.5 = -0.667
z(10)= (10-8)/4.5 = 2/4.5 = 0.4444
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Use your z-chart or your calculator to find the following:
Probability (5<=x<=10) = P(-0.667 <= z <= 0.444) = 0.4191
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Cheers,
Stan H.
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Rational-functions/127226: Write the following rule as a formula using function notation: Tuition cost in dollars is sixty-five times the number of credit hours.
Write the following rule as a formula using function notation: Tuition cost in dollars is sixty-five times the number of credit hours.
Thank you all, for your God given talent that helps us less fortunate.
1 solutions
Answer 93208 by stanbon(57424) on 2008-02-16 08:15:54 (Show Source):
You can put this solution on YOUR website!The answer that I have come up with is: (e -1).2:
The problem is what are the exact evaluation of, (integral sign), 2xe^(x^2) dx over the intervals (0, 1). I feel this is not correct, can you verify that for me please?
Answer: e^x^2 evaluated at 1 minus e^x^2 evaluated at 0
= e-1
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Also please, I have determined that In x is not the correct completion of the formula, (integral sign), (1/x). Is that correct, or should I do more research on this subject?
Answer: ln(x) + C because you want the indefinite integral, and C might
always be part of the function that was differentiated to arrive at
an answer of ln(x).
Example: The derivative of f(x) = ln(x) +2 is the same as the derivative
of f(x)= ln(x) + 5
So when you integrate ln(x) you should write ln(x)+C to cover all the
possible constants that might be part of the answer.
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It's a different story when you take the definite integral from x=a to
x=b because you subtract out the constant that may have been part of
the function.
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Cheers,
Stan H.
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Linear-equations/127228: This is from a worksheet from the instructor: Write the following rule as a formula using function notation: Tuition cost in dollars is sixty-five times the number of credit hours.
1 solutions
Answer 93206 by stanbon(57424) on 2008-02-16 07:48:22 (Show Source):
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Trigonometry-basics/127225: Hello. Please help me ASAP- I need to turn this in quick. So I have a worksheet that says that I need to discriminate the solutions of the quadratic equation: x squared + 5x + 3 + a. How do I do it and what does the direction mean?
Thanks.
1 solutions
Answer 93193 by stanbon(57424) on 2008-02-15 22:48:38 (Show Source):
You can put this solution on YOUR website!discriminate the solutions of the quadratic equation: x squared + 5x + 3 + a.
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The discriminant of a quadratic is b^2-4ac
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Your quadratic has a = 1, b=5, c=3+a
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Your discriminant is 5^2 -4*1*(3+a) = 25-12-4a = 13-4a
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When the discriminant is less than zero you have no Real Number solutions:
13-4a < 0
4a>13
a > 13/4
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When the discriminant is equal to zero you have two equal Real number solutions:
13-4a = 0
4a = 13
a = 13/4
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when the discriminant is greater than zero you have two unequal Real number
solutions:
13-4a >0
4a<13
a < 13/4
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Cheers,
Stan H.
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