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Recent problems solved by 'stanbon'
stanbon answered: 57194 problems
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49050..49079 , 49080..49109 , 49110..49139 , 49140..49169 , 49170..49199 , 49200..49229 , 49230..49259 , 49260..49289 , 49290..49319 , 49320..49349 , 49350..49379 , 49380..49409 , 49410..49439 , 49440..49469 , 49470..49499 , 49500..49529 , 49530..49559 , 49560..49589 , 49590..49619 , 49620..49649 , 49650..49679 , 49680..49709 , 49710..49739 , 49740..49769 , 49770..49799 , 49800..49829 , 49830..49859 , 49860..49889 , 49890..49919 , 49920..49949 , 49950..49979 , 49980..50009 , 50010..50039 , 50040..50069 , 50070..50099 , 50100..50129 , 50130..50159 , 50160..50189 , 50190..50219 , 50220..50249 , 50250..50279 , 50280..50309 , 50310..50339 , 50340..50369 , 50370..50399 , 50400..50429 , 50430..50459 , 50460..50489 , 50490..50519 , 50520..50549 , 50550..50579 , 50580..50609 , 50610..50639 , 50640..50669 , 50670..50699 , 50700..50729 , 50730..50759 , 50760..50789 , 50790..50819 , 50820..50849 , 50850..50879 , 50880..50909 , 50910..50939 , 50940..50969 , 50970..50999 , 51000..51029 , 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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, >>NextProbability-and-statistics/557621: if other factors are held constant, how does increasing the sample variance affect the value of the independent-measures t statistic and the likelihood of rejecting the null hypothesis?
1 solutions
Answer 362708 by stanbon(57262)   on 2012-01-15 20:00:11 (Show Source):
You can put this solution on YOUR website!if other factors are held constant, how does increasing the sample variance affect the value of the independent-measures t statistic and the likelihood of rejecting the null hypothesis?
----
the test statistic and the variance are directly related.
If variance t value increases
If t value increases p-value decreases.
If p-value decreases there is more likelihood of rejecting Ho.
--------------------------------------------------------
Cheers,
Stan H.
|
Probability-and-statistics/557628: An independent measures research study was used to compare two treatment conditions with n = 12 participants in each treatment. The first treatment had a mean of M =55 with a variance of s2 = 8, and the second treatment had M= 52 and s2 =4. Do these data indicate a significant difference between the two treatments? Use a two-tailed test with a = .05. ( Note: Because the two samples are the same size,the pooled variance is simply thew average of the two sample variance.)
1 solutions
Answer 362704 by stanbon(57262) on 2012-01-15 19:55:09 (Show Source):
You can put this solution on YOUR website!An independent measures research study was used to compare two treatment conditions with n = 12 participants in each treatment.
The first treatment had a mean of M =55 with a variance of s2 = 8, and the
-----------------------------------
second treatment had M= 52 and s2 =4.
-------------------------------
Do these data indicate a significant difference between the two treatments? Use a two-tailed test with a = .05.
Note: Because the two samples are the same size,the pooled variance is simply thew average of the two sample variance.)
====
Ho: u1-u2 = 0
Ha: u1-u2 # 0
-----------------------
I ran a 2-sample Ttest and got the following results:
test statistic: t = 3
p-value: 0.0071
df: 19.8
=====
Since the p-value is less than 5%, reject Ho.
There is a significant difference between the 2 treatments.
================================================================
Cheers,
Stan H.
============
|
Probability-and-statistics/557661: A person spins the pointer on a game and is awarded the amount indicated by the pointer for blue recieves $2.00, green recieves $ 8.00 and yellow recieves $ 12.00. It costs $6.00 to play the game. Determine the expectation of the person playing the game and the fair price to play the game.
1 solutions
Answer 362702 by stanbon(57262) on 2012-01-15 19:42:12 (Show Source):
You can put this solution on YOUR website! A person spins the pointer on a game and is awarded the amount indicated by the pointer for blue recieves $2.00, green recieves $ 8.00 and yellow recieves $ 12.00. It costs $6.00 to play the game. Determine the expectation of the person playing the game and the fair price to play the game.
------------------
What is the probability of blue, or green, and of yellow?
|
Probability-and-statistics/557413: A random sample of 100 recorded deaths in an urban city during the past year showed an average life span of 71.8 years, with a standard deviation of 8.9 years. Does this seem to indicate that the average life span today is greater than the 70 years? (Use a 0.05 level of significance.)
1 solutions
Answer 362642 by stanbon(57262) on 2012-01-15 13:10:09 (Show Source):
You can put this solution on YOUR website!A random sample of 100 recorded deaths in an urban city during the past year showed an average life span of 71.8 years, with a standard deviation of 8.9 years. Does this seem to indicate that the average life span today is greater than the 70 years? (Use a 0.05 level of significance.)
------------------
Ho: u = 70
Ha: u > 70 (claim)
-----
z(71.8) = (71.8-70)/[8.9/sqrt(100)] = 2.0224
----
p-value = 2*P(z > 2.0224) = 0.0431
----
Since the p-value is less than 5%, reject Ho.
The test results support the claim.
================
Cheers,
Stan H.
================
|
Pythagorean-theorem/557505: How do key into the calculator square root 180 when using the Pythagorean Theoran
1 solutions
Answer 362638 by stanbon(57262) on 2012-01-15 12:56:43 (Show Source):
You can put this solution on YOUR website!How do key into the calculator square root 180 when
using the Pythagorean Theorem
---
If you have a TI calculator:
2nd then x^2 button
key in 180
ENTER to get 13.4164..
Cheers,
Stan H.
=======================
|
Polynomials-and-rational-expressions/557501: Please help me solve this question:-
1.) When polynomial ax^3+bx^2+cx-4 is divided by x+2 the remainder is double than obtained when the same polynomial is divided by x+1. Show that c can have any value and find b in terms of a.
1 solutions
Answer 362633 by stanbon(57262) on 2012-01-15 12:48:48 (Show Source):
You can put this solution on YOUR website!Please help me solve this question:-
1.) When polynomial ax^3+bx^2+cx-4 is divided by x+2 the remainder is double than obtained when the same polynomial is divided by x+1.
----
Find the remainders:
f(-2) = -8a + 4b -2c -4
----
f(-1) = -a + b - c -4
-------
Equation:
f(-2) = 2f(-1)
-8a + 4b -2c -4 = 2[-a+b-c-4]
-8a + 4b -2c-4 = -2a + 2b -2c -8
-----
6a -2b = 4
3a - b = 2
=======
b = 3a-2
c can be any value
====================
Cheers,
Stan H.
==============
Show that c can have any value and find b in terms of a.
|
Probability-and-statistics/557414: a) A General Incorporated Mill’s packing machinery is known to pour dry cereal into economy size boxes with a standard deviation of 0.6 ounce. The two samples, taken from two machines, yield the following information:
Machine A Machine B
Assume the Machine-A is and Machine-B is , construct the 95.44% confidence interval estimate for .
b) Why we call the standard deviation of sampling distribution of a statistic as the standard error of the statistic?
1 solutions
Answer 362613 by stanbon(57262) on 2012-01-15 11:06:20 (Show Source):
|
Probability-and-statistics/557417: Find the probability of answering two true or false questions correctly if random guesses are made. Only one of the choices is correct.
1 solutions
Answer 362612 by stanbon(57262) on 2012-01-15 11:05:21 (Show Source):
You can put this solution on YOUR website!Find the probability of answering two true or false questions correctly if random guesses are made. Only one of the choices is correct.
----
Possible outcomes: cc,cw,wc,ww
---
P(both correct): 1/4
P(1 correct): 2/4 = 1/2
P(both wrong: 1/4
===========================
Cheers,
stan H.
|
Probability-and-statistics/557424: THE NUMBER OF WINSFOR EACH TEAM IN A LEAGUE LAST YEAR ARE LISTED.
MAKE A FREQUENCY DISTRIBUTION FOR THE DATA SET (USE 4 CLASSES OF WIDTH 2 STARTING AT 3). THE APPROXIMATE OF THE POPULATION STANDARD DEVIATION OF THE DATA SET
9 3 5 8 5 5 4 3 3 3
8 4 9 6 7 3 3 4 4 4
Complete the frequency distribution. (The Classes are listed under Class, and the F (frequency) are the blank lines listed underneath it)
CLASS f
3-4 -----
5-6 -----
7-8 -----
9- 10 -----
-The population mean is approximately _________. (SIMPLIFY OUR ANSWER.)
-THE POPULATION STANDARD DEVIATION IS APPROXIMATELY = __________. (ROUND TO THE NEAREST HUNDREDTHS AS NEEDED)
1 solutions
Answer 362611 by stanbon(57262) on 2012-01-15 11:02:45 (Show Source):
You can put this solution on YOUR website!THE NUMBER OF WINSFOR EACH TEAM IN A LEAGUE LAST YEAR ARE LISTED.
MAKE A FREQUENCY DISTRIBUTION FOR THE DATA SET (USE 4 CLASSES OF WIDTH 2 STARTING AT 3). THE APPROXIMATE OF THE POPULATION STANDARD DEVIATION OF THE DATA SET
9 3 5 8 5 5 4 3 3 3
8 4 9 6 7 3 3 4 4 4
Complete the frequency distribution. (The Classes are listed under Class, and the F (frequency) are the blank lines listed underneath it)
CLASS f
3-4 11
5-6 4
7-8 3
9-10 2
---------
I got the mean and std from the data set:
-The population mean is approximately 5. (SIMPLIFY OUR ANSWER.)
-THE POPULATION STANDARD DEVIATION IS APPROXIMATELY = 2.10. (ROUND TO THE NEAREST HUNDREDTHS AS NEEDED)
=============
Cheers,
Stan H.
=============
|
Functions/557449: Range of function sqrt(x^2-2x+5). Why is the range ≥2?, without graphing
1 solutions
Answer 362609 by stanbon(57262) on 2012-01-15 10:56:16 (Show Source):
You can put this solution on YOUR website!Range of function sqrt(x^2-2x+5). Why is the range ≥2?, without graphing
----
y = sqrt(x^2-2x+5)
---
x^2-2x+5 has its minimum point at x = (-b/(2a)) = 2/(2*1) = 1
---
f(1) = 1^2-2*1+5 = 4
---
Your problem takes the square root of all
the y value of x^2-2x+5.
The lowest of these value is sqrt(4) = 2
=======================
Cheers,
Stan H.
==============
|
Probability-and-statistics/557323: An executive committee consists of 11 members, 6 men and 5 women. 3 members are selected at random to go to a meeting in Hawaii. What is the probability that all 3 selected are women?
1 solutions
Answer 362559 by stanbon(57262) on 2012-01-14 21:46:20 (Show Source):
You can put this solution on YOUR website!An executive committee consists of 11 members, 6 men and 5 women. 3 members are selected at random to go to a meeting in Hawaii. What is the probability that all 3 selected are women?
----------------------------
# of ways to succeed: 5C3 = 10
# of random selections: 11C3 = 165
-----
P(select 3 women) = 10/165 = 2/53
=======================================
Cheers,
Stan H.
=======================================
|
Geometry_Word_Problems/557322: three times the complement of an angle less the suppliment of an angle is 10 decrees. find the suppliment
1 solutions
Answer 362558 by stanbon(57262) on 2012-01-14 21:42:33 (Show Source):
You can put this solution on YOUR website!three times the complement of an angle less the suppliment of an angle is 10 decrees. find the supplement
-------
angle: x
complement: 90-x
supplement: 180-x
-------------------------
Equation:
3(90-x)-(180-x) = 10
270-3x-180+x = 10
-2x +90 = 10
-2x = -80
x = 40
------
supplement: 180-x = 180-40 = 140 degrees
=============================================
Cheers,
Stan H.
==================
|
Functions/557319: the domain of the function sqrt of x(x-2)=
must be written in interval notation
1 solutions
Answer 362556 by stanbon(57262) on 2012-01-14 21:34:51 (Show Source):
You can put this solution on YOUR website!the domain of the function sqrt of x(x-2)=
must be written in interval notation
----
y = sqrt(x(x-2))
-----
The radicand cannot be negative:
Solve x(x-2) >= 0
------
Solve the equality:
x = 0 or x = 2
-----
Solve the inequality:
Draw a number line.
Plot x = 0 and x = 2 on the line
------
Test a value in each of the intervals to find the solution set
for x(x-2) > 0
Test x = -10 to get: -*- > 0 ; true, so solutions in (-oo,0)
Test x = 1 to get: +*- > 0 ; false
Test x = 10 to get: +*+ > 0 ; true, so solutions in (2,+oo)
================================================================
Domain: (-oo,0) U (2, +oo)
---------------------------------
Cheers,
Stan H.
===============
==========================================
|
Evaluation_Word_Problems/557297: On three consecutives passes, a football team gains 5 yards, loses 10 yards and gains 45 yards. What number represents the total net yardage? The answer I got was 5-10+45=50
- Solve by using the substitution method. 8x+3y=-42 and x=8-7y
-What is the domain of (p) p(x)=x 2(to the second power) -2x+1
y=6/5x+5
Determine if (-1,6)is a solution for 6x-6y=1
10x--90
-6+4x<38
Find the slope for (3,9) and (7-10)
Find the slope and the y-intercept for f(x) -2x-3
Solve 7x not equal to 35
1 solutions
Answer 362554 by stanbon(57262) on 2012-01-14 21:24:59 (Show Source):
You can put this solution on YOUR website!On three consecutives passes, a football team gains 5 yards, loses 10 yards and gains 45 yards. What number represents the total net yardage?
The answer I got was 5-10+45=50
The answer you should have is = 40 yds
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- Solve by using the substitution method. 8x+3y=-42 and x=8-7y
Substitute for "x" and solve for "y":
8(8-7y) + 3y = -42
64-56y + 3y = -42
-53y = -106
y = 2
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Solve for "x":
x = 8-7y
x = 8-7*2 = -6
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-What is the domain of
p(x)=x^2-2x+1
Domain is "All Real Numbers".
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y= (6/5)x+5
Domain is "All Real Numbers".
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Determine if (-1,6) is a solution for 6x-6y=1
Check: 6*-1-6*6 = 1
-6-36 = 1
No, (-1,6) is not a solution.
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Find the slope for (3,9) and (7-10)
slope = (9--10)/(3-7) = 19/-4 = -19/4
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Find the slope and the y-intercept for f(x)=-2x-3
Slope = -2
y-intercept = -3
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Solve 7x not equal to 35
Divide both sides by 7 to get:
x # 5
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Cheers,
Stan H.
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Probability-and-statistics/557230: in 1999, the tuition for one year at a university was $24,165. each year, the tuition increased by 6.15% each year.
A. write the equation to represent the situation.
B. what is the tuition in 2007?
C. in what year did the tuition reach $30,000?
1 solutions
Answer 362552 by stanbon(57262) on 2012-01-14 21:10:27 (Show Source):
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Travel_Word_Problems/557315: A train travels east at an average speed of 30 m/s. How far does the train travel in 6 seconds?
1 solutions
Answer 362550 by stanbon(57262) on 2012-01-14 20:48:58 (Show Source):
You can put this solution on YOUR website!A train travels east at an average speed of 30 m/s. How far does the train travel in 6 seconds?
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IF m/s means meters per second,
in 6 seconds the train will travel (6 sec) * (30 m/s) = 180 meters
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Cheers,
Stan H.
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Travel_Word_Problems/557313: On a train, it took 3 hours to travel a distance of 52 1/2 miles. That was the average speed of the train?
1 solutions
Answer 362547 by stanbon(57262) on 2012-01-14 20:41:32 (Show Source):
You can put this solution on YOUR website!On a train, it took 3 hours to travel a distance of 52 1/2 miles. That was the average speed of the train?
----
rate = distance/time
---
rate = [105/2]/[3] = 105/6 = 17.5 mph
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Cheers,
Stan H.
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Money_Word_Problems/557304: in 1999 the tuition for one year at a university was $24,165. each year the tuition increased by 6.15% each year.
A. write the equation to represent the situation.
B. what is the tuition in 2007
C. in what year did the tuition reach $30,000
1 solutions
Answer 362532 by stanbon(57262) on 2012-01-14 20:02:16 (Show Source):
You can put this solution on YOUR website!in 1999 the tuition for one year at a university was $24,165. each year the tuition increased by 6.15% each year.
A. write the equation to represent the situation.
t(x) = 24165*(1.0615)^x where x is the number of years after 1999
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B. what is the tuition in 2007
t(8) = 24165*1.0615^8 = $39843.00
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C. in what year did the tuition reach $30,000
Solve: 24165*1.0615^x = 30,000
1.0615^x = 1.2415
x = ln(1.2415)/ln(1.0615)
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x = 3.62 years
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Cheers,
Stan H.
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Geometry_Word_Problems/557298: Driving through the mountains, Dale has to go up and over a high mountain pass. The road has a constant incline for 7.75 miles to the top of the pass. Dale notices from a road sign that in the first mile he climbs 840 feet. What is the height of the mountain pass?
1 solutions
Answer 362527 by stanbon(57262) on 2012-01-14 19:43:48 (Show Source):
You can put this solution on YOUR website!Driving through the mountains, Dale has to go up and over a high mountain pass. The road has a constant incline for 7.75 miles to the top of the pass. Dale notices from a road sign that in the first mile he climbs 840 feet. What is the height of the mountain pass?
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Draw the picture.
You have a triangle with
hypotenuse = 7.75 miles
He climbs 840/5280 miles for each mile he drives.
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Ans: height = 7.75(840/5280) = 1.23 miles = 6510 ft
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Cheers,
Stan H.
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Inequalities/557277: a metal solid at fahrenheit below 1772.7 determine (in terms of an inquality) those celsius temperature for which the metal stays a solid. Use formula F=9/5 c + 32
1 solutions
Answer 362524 by stanbon(57262) on 2012-01-14 18:24:11 (Show Source):
You can put this solution on YOUR website!a metal solid at fahrenheit below 1772.7 determine (in terms of an inquality) those celsius temperature for which the metal stays a solid.
Use formula F=9/5 c + 32
------
1772.7 = (9/5)c + 32
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(9/5)c = 1740.7
---
c = 967.056
================
Cheers,
Stan H.
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Polynomials-and-rational-expressions/557276: find the roots of the polynomial equation:x^3-2x^2+10x+136=0
1 solutions
Answer 362522 by stanbon(57262) on 2012-01-14 18:10:26 (Show Source):
You can put this solution on YOUR website!find the roots of the polynomial equation:x^3-2x^2+10x+136=0
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I graph the cubic and found a zero at x = -4
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Using synthetic division, find the other zeros:
-4)....1....-2....10....136
........1....-6....34...|..0
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Quotient: x^2-6x+34
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Find the zeros of the quotient:
x = [6 +- sqrt(6^2-4*34)]/2
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x = [6 +- sqrt(36-136)]/2
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x = [6 +- sqrt(-100)]/2
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x = [2 +- 5i]
x = 2+5i or x = 2 - 5i or -4
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Cheers,
Stan H.
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Polynomials-and-rational-expressions/557274: Divide 27x^3-63x^2-105x-27/9x+3. I have started this off by doing the long division process. It's kind of hard to show my work on here, but I am having trouble when it comes to dividing the -105x. So far I have my answer as 3x^2+6x. When I divide -87 by 9 I receive -9.67
1 solutions
Answer 362520 by stanbon(57262) on 2012-01-14 18:00:55 (Show Source):
You can put this solution on YOUR website!Divide 27x^3-63x^2-105x-27/9x+3. I have started this off by doing the long division process. It's kind of hard to show my work on here, but I am having trouble when it comes to dividing the -105x. So far I have my answer as 3x^2+6x. When I divide -87 by 9 I receive -9.67
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There is a common factor of 3 in the numerator and the denominator.
= (9x^3-21x^2-35x-9)/(3x+1)
----
Divide numerator and denominator by 3 to get
-1/3)....9....-21....-35....-9
..........9.....-24....-27...|..0
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Quotient: 9x^2-24x-27
Remainder = 0
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Divide the quotient by 3 to get:
= 3x^2-8x-9
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Cheers,
Stan H.
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Square-cubic-other-roots/557270: I have to find the nth term in some equations for my exams on monday and i forgot how to do it.
The terms are 1 2 3 4
The values are 3 7 11 15
and i have to find the 20th term
How do i do it?
1 solutions
Answer 362515 by stanbon(57262) on 2012-01-14 17:34:02 (Show Source):
You can put this solution on YOUR website!I have to find the nth term in some equations for my exams on monday and i forgot how to do it.
The terms are 1 2 3 4
The values are 3 7 11 15
and i have to find the 20th term
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You have an arithmetic sequence with a(1) = 3 and d = 4
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Formula: a(n) = a(1) + (n-1)d
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So, a(20) = 3 + 19*4 = 3 + 76 = 79
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Cheers,
Stan H.
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Probability-and-statistics/557258: 70% of Valorites can answer the previous question correctly, suppose you select 3 Valorites at random, what is the probability that at least one of the 3 can answer correctly?
1 solutions
Answer 362510 by stanbon(57262) on 2012-01-14 16:24:50 (Show Source):
You can put this solution on YOUR website!70% of Valorites can answer the previous question correctly, suppose you select 3 Valorites at random, what is the probability that at least one of the 3 can answer correctly?
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Binomial Problem with n = 3 and p(correct) = 0.7
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P(1 <= x <= 3)
= 1 - P(x=0)
= 1- 3C0(0.7)^0(0.3)^(3)
= 1 - 0.3^3
= 0.973
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Cheers,
Stan H.
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Numbers_Word_Problems/557256: eva invested a certain amount of money at 15% intrest and $2500 more than that amount at 16%. her total yearly intrest was $1485. How much did she invest at each rate?
1 solutions
Answer 362509 by stanbon(57262) on 2012-01-14 16:20:11 (Show Source):
You can put this solution on YOUR website!eva invested a certain amount of money at 15% interest and $2500 more than that amount at 16%. her total yearly interest was $1485. How much did she invest at each rate?
-------------------
Equation:
interest + interest = interest
0.15x + 0.16(x+2500) = 1485
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Multiply thru by 100 to get:
15x + 16x + 16*2500 = 148500
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31x = 108500
x = $3500 (amt. invested at 15%)
----
x+2500 = $6000 (amt. invested at 16%)
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Cheers,
Stan H.
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