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Recent problems solved by 'stanbon'
stanbon answered: 57894 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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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 , 57360..57389 , 57390..57419 , 57420..57449 , 57450..57479 , 57480..57509 , 57510..57539 , 57540..57569 , 57570..57599 , 57600..57629 , 57630..57659 , 57660..57689 , 57690..57719 , 57720..57749 , 57750..57779 , 57780..57809 , 57810..57839 , 57840..57869 , 57870..57899, >>NextProbability-and-statistics/137981: Help please
3. What is the critical chi-square value at the 5% significance rate with 16 degrees of freedom?
4. What is the critical chi-square value at the 1% significance rate with 6 degrees of freedom?
1 solutions
Answer 100814 by stanbon(57967)   on 2008-04-22 15:35:00 (Show Source):
You can put this solution on YOUR website!This site will show you all the critical values for Chi-Square.
---------------
http://www.itl.nist.gov/div898/handbook/eda/section3/eda3674.htm
---------
Cheers,
Stan H.
|
Functions/137931: Could I have some help with the following problem. Find the indicated output for this function. If f(x)=|x| find f(-5). Thank you.
1 solutions
Answer 100796 by stanbon(57967) on 2008-04-22 07:30:31 (Show Source):
|
logarithm/137920: Please help me solve this question: -
Log base 1/2(x-1)>0
1 solutions
Answer 100795 by stanbon(57967) on 2008-04-22 07:25:58 (Show Source):
You can put this solution on YOUR website!Log base 1/2(x-1)>0
------------------------
First: Note that x-1 must be > 0; i.e. x > 1
-------------------------------
Find the boundary point for the inequality:
log(1/2) (x-1) = 0
x-1 = (1/2)^0
x-1 = 1
x = 2
--------------
Check a test point from the left interval and from the right interval.
If x = 3, log(1/2) (2) > 0, this is false so no solutions in (2,+inf)
If 1 < x < 2; pick x=3/2: log(1/2) (3/2-1) = 1 > 0 , so there are
solutions in 1 < x < 2
------------------
Final Answer: 1 < x < 2
=========================
Cheers,
Stan H.
|
Probability-and-statistics/137926: A 90% confidence interval around the variance was calculated. For n=27, the confidence interval was 35.0-88.4. Give the variance of the sample.
1 solutions
Answer 100794 by stanbon(57967) on 2008-04-22 07:09:05 (Show Source):
You can put this solution on YOUR website!A 90% confidence interval around the variance was calculated. For n=27, the confidence interval was 35.0-88.4. Give the variance of the sample.
-----------------------------
(n-1)s^2/(Ch-Sq right) = 35
26*s^2/41.923 = 35
s^2 = 35*41.923/26
s^2 = 56.434
--------------------
(n-1)s^2/(Ch-Sq left) = 88.4
26*s^2/15.379 = 88.4
s^2 = 88.4*15.379/26
s^2 = 52.2886
------------------------
The discrepancy is probably due to my Ch-Sq table truncating its values.
It gives the Ch-Sq. left and right values as indicated. Your chart
may give values with greater decimal precision.
-------------------------
Cheers,
Stan H.
|
Linear_Algebra/137915: I am having problems with this question.
Suppose that a market research company finds that a price of p=$20, they sell x=42 tiles each month. If they lower the price to p=$10, then more people would purchase the tile, and they can expect to sell x=52 tiles in a month's time. Find the equation of the line for the demand equation. Write your answe in the p=mx+b. I think I am getting this wrong. I think the equation looks like $20 = m(42)+b if this is wrong please send me the proper equation. Thank you if you can help.
This is not in a book.
1 solutions
Answer 100793 by stanbon(57967) on 2008-04-22 06:59:00 (Show Source):
You can put this solution on YOUR website!Suppose that a market research company finds that a price of p=$20, they sell x=42 tiles each month. If they lower the price to p=$10, then more people would purchase the tile, and they can expect to sell x=52 tiles in a month's time. Find the equation of the line for the demand equation. Write your answe in the p=mx+b. I think I am getting this wrong. I think the equation looks like $20 = m(42)+b if this is wrong please send me the proper equation. Thank you if you can help.
---------------------
You have two points relating price and sales:
(42,20) and (52,10)
slope = (10-20)/(52-42) = -10/10 = -1
-------------
Equation form p = mx+b;
you have p,x and m; solve for b
20=-1*42 + b
20 = -42 + b
b = 62
----------
EQUATION:
p = -x + 62
-------------
Your work is correct.
Cheers,
Stan H.
|
logarithm/137921: Please help me in solving this question. - Find the value of : -
1 solutions
Answer 100792 by stanbon(57967) on 2008-04-22 06:52:10 (Show Source):
You can put this solution on YOUR website!(log base 3 (4)+ log base 2 (9))^2 - (log base 3 (4)- log base 2 (9))^2
Let log3 4 = x and log2 9 = y
--------------------------------
You have:
(x+y)^2 -(x-y)^2
= x^2+2xy+y^2-(x^2-2xy+y^2)
= 4xy
---------
Substituting bac to logs you get:
= 4(log3 4)(log2 9)
= 4[log4/log3][log9/log2]
= 4[log4/log2][log9/log3]
= 4 [log2 4][log3 9]
= 4 [2][2]
= 16
==============
Cheers,
Stan H.
================================
|
Radicals/137923: This question is from textbook Blitzer
Radical and rational exponents, Please I'm very confuse because I have not done this for a long time, I need to see how you do it. I'm a quick learner and will learn with explanations.Please, Thank you all. Bless be.
5*( square root of X) + 1 = 3
Answer:
Show your work here:
c)2/3=2-(5x-3)/(x-1)
Answer:
Show your work here:
2) Solve algebraically and check your potential solutions:
(square root of t+12)- t =0
Answer:
Show your work here:
3) The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the volume is 700 in3. Round the answer to three decimal places.
I have s^3= 700 is this right( can you show me how to solve that)
Answer:
Show your work here:
1 solutions
Answer 100791 by stanbon(57967) on 2008-04-22 06:38:34 (Show Source):
You can put this solution on YOUR website!5*( square root of X) + 1 = 3
5sqrt(x) + 1 = 3
5sqrt(x) = 2
sqrt(x) = 2/5
x = 4/25
---------------------------------------
c) 2/3=2-(5x-3)/(x-1)
(5x-3)/(x-1) = 4/3
3(5x-3) = 4(x-1)
15x-9 = 4x-1
11x = 8
x = 8/11
-----------------------------
2) Solve algebraically and check your potential solutions:
(square root of t+12)- t =0
sqrt(t+12) = t
t+12 = t^2
t^2-t-12 = 0
(t-4)(t+3) = 0
t = 4 or to = -3
-----------
Checking:
If t=4, sqrt(16) = 4 which is true
--------
If to -3, sqrt(9) = -3 which is false
---------
Final answer: t = 4
==============================
3) The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the volume is 700 in3. Round the answer to three decimal places.
I have s^3= 700 is this right( can you show me how to solve that)
Answer:
V = s^3
700 = s^3
s = cube root of 700
s = 8.879..
==================
Cheers,
Stan H.
|
Complex_Numbers/137925: simplify in the form of a+bi,2y-xi=4+x-i
1 solutions
Answer 100790 by stanbon(57967) on 2008-04-22 06:29:40 (Show Source):
You can put this solution on YOUR website!simplify in the form of a+bi,2y-xi=4+x-i
-------------------
2y-x-4 +i-xi = 0
(2y-x-4) + (1-x)i = 0
-----------------------
If you are supposed to solve for x and y proceed:
1-x=0
2y-x-4=0
-----------
x = 1
So 2y-5 = 0
And y = 5/2
===================
Final answer: x=1, y=5/2
===================
Cheers,
Stan H.
|
Numbers_Word_Problems/137884: the following is from a worksheet... please help me help my son figure this one out.
The tens digit of a two-digit number is 1 less than five times the units digit. The square of the units digit is 5 less than the tens digit. Find the number.
have tried unsuccessfully to manipulate the following to find the answer:
t=5u-1 and u**2=t-5
1 solutions
Answer 100786 by stanbon(57967) on 2008-04-21 22:55:14 (Show Source):
You can put this solution on YOUR website!The tens digit of a two-digit number is 1 less than five times the units digit. The square of the units digit is 5 less than the tens digit. Find the number.
have tried unsuccessfully to manipulate the following to find the answer:
t=5u-1 and u**2=t-5
Substitute 1st into 2nd to get:
u^2=5u-1-5
u^2-5u+6 = 0
(u-3)(u-2) = 0
u=3 or u=2
----------------
If u = 3 , t=5*3-1 = 14
-------------------------
If u=2, t = 5*2-1 = 9
--------------------------
The ten's digit cannot be 14 so the only solution is 92
=========================================
Cheers,
Stan H.
|
Probability-and-statistics/137882: Given a spinner with the numbers one through eight, what is the probability that you will spin an even number or a number greater than four?
A) 1/4
B) 1/2
C) ¾
D) 1
1 solutions
Answer 100784 by stanbon(57967) on 2008-04-21 22:08:26 (Show Source):
You can put this solution on YOUR website!Given a spinner with the numbers one through eight, what is the probability that you will spin an even number or a number greater than four?
P(even or number>4) = P(even) + P(number>4)-P(even AND number>4)
=P(2,4,6,8) + P(5,6,7,8) - P (6,8)
= 4/8 + 4/8 - 2/8 = 6/8 = 3/4
-----------------------------------
Cheers,
Stan H.
A) 1/4
B) 1/2
C) ¾
D) 1
|
Probability-and-statistics/137871: Does anyone know what the formula for the z test for proportions is???
I have a few more questions that I really need help with solving.
1) Joan moves into her apartment and wants to purchase a new couch. She wants to determine if there is any difference between the average cost of couches at two different stores. Test the hypothesis that there is no difference at a=0.05.
_ Store 1 Store 2
x $650 $730
O $61 $78
n 24 21
2) Stating that the area under the curve between z=0 and z=1.00 is 0.3413 is the same as stating that the _________________ of selecting any z value between 0 and 1.00 is 0.3413.
3) A regression line was calculated as y = 9.7 -3.2x. The slope of this line is -3.2. True or false??
4) The ________________ are the number of values that are free to vary after sample statistic has been computed.
Thank you for any and all help that you can give me. I am really confused.
x
1 solutions
Answer 100783 by stanbon(57967) on 2008-04-21 22:05:01 (Show Source):
You can put this solution on YOUR website!Does anyone know what the formula for the z test for proportions is???
Most textbooks use a t-test on proportion problems and on mean problems
where n is less than 30.
-------------
Z-values are critical values and are test statistics for one and two
sample proportions tests.
--------------------------------
I have a few more questions that I really need help with solving.
1) Joan moves into her apartment and wants to purchase a new couch. She wants to determine if there is any difference between the average cost of couches at two different stores. Test the hypothesis that there is no difference at a=0.05.
_ Store 1 Store 2
x $650 $730
O $61 $78
n 24 21
-------------
What are your "x" and "o" numbers.
The "x" looks like a sample mean
The "o" might be a sample standard deviation.
But it's hard to be sure.
--------------------------------
2) Stating that the area under the curve between z=0 and z=1.00 is 0.3413 is the same as stating that the PROBABILITY of selecting any z value between 0 and 1.00 is 0.3413.
-----------------------
3) A regression line was calculated as y = 9.7 -3.2x. The slope of this line is -3.2. True or false??
Ans: true
------------------------
4) The ________________ are the number of values that are free to vary after sample statistic has been computed.
Sounds like degrees of freedom but I am not sure.
=====================
Cheers,
Stan H.
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Probability-and-statistics/137872: A sample of 25 concession stand purchases at the October 22 matinee of Bride of Chucky showed a mean purchase of $5.29 with a standard deviation of $3.02. For the October 26 evening showing of the same movie, for a sample of 25 purchases the mean was $5.12 with a standard deviation of $2.14. The means appear to be very close, but not the variances. At a=.05, is there a difference in variances? Show all steps clearly, including an illustration of the decision rule.
1 solutions
Answer 100780 by stanbon(57967) on 2008-04-21 21:53:24 (Show Source):
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Quadratic_Equations/137867: A lumber company can convert logs into plywood or lumber. The mill turns out twice as many units of plywood as lumber. It makes a profit of $25 on a unit lumber and $50 on a unit of plywood. How many of each unit must be produced in order to make a profit of $12750?
The lumber company must produce and sell ?? units of lumber and ?? units of plywood to make a profit of $12750.
I am so bad with word problems also, can someone help.
1 solutions
Answer 100774 by stanbon(57967) on 2008-04-21 20:48:40 (Show Source):
You can put this solution on YOUR website!The mill turns out twice as many units of plywood as lumber.
p = 2L
-------------
It makes a profit of $25 on a unit lumber and $50 on a unit of plywood.
How many of each unit must be produced in order to make a profit of $12750?
50P + 25L = 12750
The lumber company must produce and sell ?? units of lumber and ?? units of plywood to make a profit of $12750.
-------------------------------
You have two equations:
Substitute the 1st into the 2nd to get:
50*2L + 25L = 12750
125L = 12750
L = 102 (# of units of lumber)
p = 2L = 204 (# of units of plywood)
===========================
Cheers,
Stan H.
|
Probability-and-statistics/137820: A recent study found that the average life expectancy of a person living in Africa is 53 years with a standard deviation of 7.5 years. If a person is selected at random, what is the probability that the person will die before the age of 65?
A) 94.52%
B) 82.89%
C) 94.95%
D) 88.49%
1 solutions
Answer 100773 by stanbon(57967) on 2008-04-21 20:42:09 (Show Source):
You can put this solution on YOUR website!A recent study found that the average life expectancy of a person living in Africa is 53 years with a standard deviation of 7.5 years. If a person is selected at random, what is the probability that the person will die before the age of 65?
-----------
Find the z value of 65 and the z value of 0
z(0) = (0-53)/7.5 = .
z(65) = (65-53)/7.5 = 1.6
P(0 < x < 65) = P(-7.067 < z < 1.6) = 0.9452
A) 94.52%
B) 82.89%
C) 94.95%
D) 88.49%
----------------------------
================
Cheers,
Stan H.
|
Probability-and-statistics/137843: I am having a lot of trouble with a couple of questions. Can someone please explain and help me with them?
1) What is the 90% confidence interval for the variance of exam scores for 28 algebra students, if the standard deviation of their last exam is 12.7?
A) 108.6
B) 10.4
C) 123.7
D) 122.8
2) A sample of 23 European countries found the variance on life expectancy was 7.3 years. What is the 95% confidence interval for the variance of life expectancy in Europe?
A) 27.2
B) 5.6
C) 4.4
D) 28.9
Thank you for your help.
1 solutions
Answer 100770 by stanbon(57967) on 2008-04-21 20:10:12 (Show Source):
You can put this solution on YOUR website!1) What is the 90% confidence interval for the variance of exam scores for 28 algebra students, if the standard deviation of their last exam is 12.7?
A) 108.6 B) 10.4 C) 123.7 D) 122.8
(28-1)(12.7)^2/43.194 < sigma^2 < (28-1)(12.7)^2 /14.573
100.827... < sigma^2 < 298.83
Comment: The answers you are given are for the 90% confidence interval
lower limit for the standard deviation. If you take the square root of
the lower limit for sigma^2 you get 10.04 which is answer B.
------------------------
2) A sample of 23 European countries found the variance on life expectancy was 7.3 years. What is the 95% confidence interval for the variance of life expectancy in Europe?
A) 27.2 B) 5.6 C) 4.4 D) 28.9
(23-1)7.3/36.781 < sigma^2 < (23-1)7.3/10.982
4.3664 < sigma2 < 14.624
----------------------------
I have no idea what your A,B,C,D answers might mean.
----------------------------
The formula I am using is as follows:
[(n-1)s^2/(Ch-Sq Right)] < sigma^2 < [(n-1)s^2/Ch-Sq Left)]
=======================================
cheers,
Stan H.
|
Quadratic_Equations/137833: Describe what the graph of interval [-4,10] looks like.
Can someone please help me with this. I am supposed to explain this in 50 words. How do i write something in words that i barely can do with the numbers??? Please help.
1 solutions
Answer 100766 by stanbon(57967) on 2008-04-21 19:39:26 (Show Source):
You can put this solution on YOUR website!Draw a number line.
Mark two points -4 and 10
Put a black dot at each of those two positions on the line.
Connect those two dots with a heavy line segment.
That is the graph of [-4,10]
-----------
[-4,10] is the closed interval notation for all the points
between -4 and 10 along with the two points -4 and 10.
Cheers,
Stan H.
|
Polynomials-and-rational-expressions/137845: can you please help me factor this:
x squared + 4 + 3
1 solutions
Answer 100765 by stanbon(57967) on 2008-04-21 19:34:20 (Show Source):
You can put this solution on YOUR website!x squared + 4x + 3
--------------------
Using the AC-Method:
Think of two numbers whose product is 3 and whose sum is 4.
The numbers are 3 and 1
------------------
Replace the 4x term with 3x+x to get:
x^2+3x+x+3
--------------
Factor the 1st two and the last two terms separately to get:
x(x+3) + (x+3)
Factor again to get the final answer:
= (x+3)(x+1)
==================
Cheers,
Stan H.
|
Probability-and-statistics/137844: Please help, no text book, online class. Thanks in advance, you rock!!!
1. What is the variable used to predict the value of another called?
A) Independent
B) Dependent
C) Correlation
D) Determination
2. Based on the regression equation, we can
A) predict the value of the dependent variable given a value of the independent variable.
B) predict the value of the independent variable given a value of the dependent variable.
C) measure the association between two variables.
3. What is the range of values for a coefficient of correlation?
A) 0 to +1.0
B) –3 to +3 inclusive
C) –1.0 to +1.0 inclusive
D) Unlimited range
4. What is the general form of the regression equation?
A) Y' = ab
B) Y' = a + bX
C) Y' = a – bX
D) Y' = abX
5. Which value of r indicates a stronger correlation than 0.40?
A) –0.30
B) –0.50
C) +0.38
D) 0
6. Suppose the least squares regression equation is Y' = 1202 + 1133X.
When X = 3, what does Y' equal?
A) 5,734
B) 8,000
C) 4,601
D) 4,050
7. In the least squares equation, Y' = 10 + 20X , the value of 20 indicates
A) the Y intercept.
B) for each unit increase in X, Y increases by 20.
C) for each unit increase in Y, X increases by 20.
8. In the equation Y' = a + bX, what is Y'?
A) Slope of the line
B) Y intercept
C) Predicted value of Y, given a specific X value
D) Value of Y when X=0
9. Based on the regression equation, we can
A) predict the value of the dependent variable given a value of the independent variable.
B) predict the value of the independent variable given a value of the dependent variable.
C) measure the association between two variables.
10. If the regression equation is Y' = 2 – 0.4X, what is the value of Y' when X = –3?
A) 0.8
B) 3.2
C) –10.0
D) 14.0
11. In the regression equation, y’ = a + bx what does the letter "b" represent?
A) Y intercept
B) Slope of the line
C) Any value of the independent variable that is selected
D) Value of Y when X=0
12. A sales manager for an advertising agency believes there is a relationship between the number of contacts and the amount of the sales. What is the dependent variable?
A) Salesperson
B) Number of contacts
C) Amount of sales
D) All the above
1 solutions
Answer 100764 by stanbon(57967) on 2008-04-21 19:32:56 (Show Source):
You can put this solution on YOUR website!1. What is the variable used to predict the value of another called?
A) Independent
B) Dependent
C) Correlation
D) Determination
Ans: Independent
-------------------------------------------
2. Based on the regression equation, we can
A) predict the value of the dependent variable given a value of the independent variable.
B) predict the value of the independent variable given a value of the dependent variable.
C) measure the association between two variables.
Ans: A
---------------------------------------------
3. What is the range of values for a coefficient of correlation?
A) 0 to +1.0
B) –3 to +3 inclusive
C) –1.0 to +1.0 inclusive
D) Unlimited range
Ans: C
-------------------------
4. What is the general form of the regression equation?
A) Y' = ab
B) Y' = a + bX
C) Y' = a – bX
D) Y' = abX
Ans: B
-----------------
5. Which value of r indicates a stronger correlation than 0.40?
A) –0.30
B) –0.50
C) +0.38
D) 0
Ans B
----------------------------------
6. Suppose the least squares regression equation is Y' = 1202 + 1133X.
When X = 3, what does Y' equal?
A) 5,734
B) 8,000
C) 4,601
D) 4,050
Ans : C
----------------
7. In the least squares equation, Y' = 10 + 20X , the value of 20 indicates
A) the Y intercept.
B) for each unit increase in X, Y increases by 20.
C) for each unit increase in Y, X increases by 20.
Ans B
------------
8. In the equation Y' = a + bX, what is Y'?
A) Slope of the line
B) Y intercept
C) Predicted value of Y, given a specific X value
D) Value of Y when X=0
Ans C
---------------------------------------------
9. Based on the regression equation, we can
A) predict the value of the dependent variable given a value of the independent variable.
B) predict the value of the independent variable given a value of the dependent variable.
C) measure the association between two variables.
Ans: A
----------------------
10. If the regression equation is Y' = 2 – 0.4X, what is the value of Y' when X = –3?
A) 0.8
B) 3.2
C) –10.0
D) 14.0
Ans: C
--------------
11. In the regression equation, y’ = a + bx what does the letter "b" represent?
A) Y intercept
B) Slope of the line
C) Any value of the independent variable that is selected
D) Value of Y when X=0
Ans: B
---------------
12. A sales manager for an advertising agency believes there is a relationship between the number of contacts and the amount of the sales. What is the dependent variable?
A) Salesperson
B) Number of contacts
C) Amount of sales
D) All the above
Ans: C
---------------
cheers,
Stan H.
|
Quadratic_Equations/137834: How do you find a quadratic equation if you are only give the solution? Is it possible to have different quadratic equations with the same solution? Explain. give an example.
Thanks,
ts
1 solutions
Answer 100763 by stanbon(57967) on 2008-04-21 19:22:04 (Show Source):
You can put this solution on YOUR website!How do you find a quadratic equation if you are only give the solution? Is it possible to have different quadratic equations with the same solution? Explain. give an example.
------------------------
If "a" and "b" are solutions then the quadratic is
f(x) = k(x-a)(x-b)
Since "k" can take any Real number value except zero, there are many
equations that have the same solutions:
Ex:
y = 3(x-1)(x+5)
has the same solutions as
y = 7(x-1)(x+5)
=================
cheers,
Stan H.
|
Probability-and-statistics/137841: Does anyone understand this question?
The standard deviation of a distribution is 20. If a sample of 225 is selected, what is the standard error of the mean?
1 solutions
Answer 100762 by stanbon(57967) on 2008-04-21 19:18:08 (Show Source):
You can put this solution on YOUR website!The standard deviation of a distribution is 20. If a sample of 225 is selected, what is the standard error of the mean?
--------------------
20/sqrt(225) = 20/15 = 4/3 = 1.33333333....
===============
Cheers,
Stan H.
|
Mixture_Word_Problems/137837: Determine whether or not the following points are collinear.
(-2,-1),(5,5), and (7,9)
1 solutions
Answer 100759 by stanbon(57967) on 2008-04-21 19:10:45 (Show Source):
You can put this solution on YOUR website!Determine whether or not the following points are collinear.
(-2,-1),(5,5), and (7,9)
They are if pairwise they have the same slope:
slope = (5--1)/(5--2) = 6/7
slope = (9--1)/(7--2) = 10/9
slope = (9-5)/(7-5) = 4/2=2
----------------
I guess not.
Cheers,
Stan H.
|
Probability-and-statistics/137808: A student takes a 10 question multiple choice test (each with four options, A-D) without studying or attending class. He plans to guess. A score of 6 out of 10 is needed to pass, 8 out of 10 for high pass.
a. What are his chances of passing by guessing?
b. What are his chances of a high pass just by guessing?
c. Should he manage to pass, how likely would it be a high pass?
1 solutions
Answer 100758 by stanbon(57967) on 2008-04-21 19:00:58 (Show Source):
You can put this solution on YOUR website!A student takes a 10 question multiple choice test (each with four options, A-D) without studying or attending class. He plans to guess.
---------------------------
A score of 6 out of 10 is needed to pass,
8 out of 10 for high pass.
---------------
It is a binomial problem with p = 1/4, n=10
a. chances of passing by guessing? P(x>=6) = 1-binomcdf(10,0.25,5)=0.01928
b. chances of a high pass just by guessing?= 1-binomcdf(10,0.25,7)=0.0004158..
c. Should he manage to pass, how likely would it be a high pass?
P(high pass| pass) = P(high pass AND Pass)/P(pass)=0.0004158/0.01928=0.02157
==================
Cheers,
Stan H.
|
Probability-and-statistics/137823: The engineer in a widget factory wants to test out a new form of raw materials. So a batch of widgets are made in the old manner as a control group and then a batch are made with the new materials as a comparison. If the widget weight is statistically the same on both sets, the new materials will be used. The weights of the 10 old process widgets and the 10 new process widgets are seen below.
Old New
36.19 36.20
35.80 36.62
36.00 36.03
36.19 36.40
36.18 36.44
36.11 36.02
36.13 36.12
36.48 36.56
35.98 36.05
36.40 36.44
1.Define this situation as either a 2 sample test or a paired test. Why?
2.Calculate a test statistic
3.Calculate a p-value
4.Give an accurate statement as to whether or not the new widget material should be used. Use a significance level of 0.05.
1 solutions
Answer 100756 by stanbon(57967) on 2008-04-21 18:48:16 (Show Source):
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Probability-and-statistics/137562: Find the mean and standard deviation of the following discrete random variable.
Number of siblings: X| 1 2 3 4 5
Probability P(X=x): |0.200| 0.425| 0.275|0.075|0.025
1 goes on top 0.200 2 goes on top 0.425 etc.
1 solutions
Answer 100746 by stanbon(57967) on 2008-04-21 16:44:38 (Show Source):
You can put this solution on YOUR website!Find the mean and standard deviation of the following discrete random variable.
Number of siblings: X| 1 2 3 4 5
Probability P(X=x): |0.200| 0.425| 0.275|0.075|0.025
---------------------------
mean = 2.3
stdev = 0.953939...
Cheers,
Stan H.
|
Probability-and-statistics/137632: Please help
James Profit wants to take National Widget Company public. He is interested in the relationship between the size of the initial public offering and the price per share. A sample of 10 companies that recently went public revealed the following information:
size ($millions) price per share
9.0 10.0
13.0 12.4 a. The regression equation is: __________
11.0 10.5
14.0 12.8 b. The coefficient of correlation is: ______
8.0 13.6
9.0 11.5 c. The coefficient of determination is: ____
10.0 14.2
12.0 9.7 d. What would Y equal if X equals13? ______
10.0 12.3
7.0 9.6
1 solutions
Answer 100742 by stanbon(57967) on 2008-04-21 16:26:37 (Show Source):
You can put this solution on YOUR website!size ($millions) price per share
9.0 10.0
13.0 12.4 a. The regression equation is: _y = 0.1319727891 x +10.30068027
11.0 10.5
14.0 12.8 b. The coefficient of correlation is: R = 0.1763989197
13.6
9.0 11.5 c. The coefficient of determination is: R^2 = 0.0311165789...
10.0 14.2
12.0 9.7 d. What would Y equal if X equals13? 12.016______
10.0 12.3
7.0 9.6
=============
Cheers,
Stan H.
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