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Recent problems solved by 'stanbon'
stanbon answered: 57135 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149, >>Next
Travel_Word_Problems/495141: Two cars travel toward each other at constant velocities. One is going 12 m/s, and the other 18 m/s. They are 3000m apart when we first see them.
I need to get all the information I can out of this problem. There is no question. I want to know where they with either run into or pass each other? And anything else this information can tell me.
1 solutions
Answer 335986 by stanbon(57203)   on 2011-09-10 22:05:24 (Show Source):
You can put this solution on YOUR website!Two cars travel toward each other at constant velocities. One is going 12 m/s, and the other 18 m/s. They are 3000m apart when we first see them.
-------------
Their closing rate is (10+18)m/s = 28 m/s
----
time = distance/rate
--
time = 3000m/28 = 107.17 seconds
The trains will meet in 107.17 sec
=====================================
Cheers,
Stan H.
============================
|
decimal-numbers/495138: Hi.
My son is learning 'powers'. So he takes the number 1,000 and
writes it out with powers. (one times 10 to the third power plus one times ten to the second power etc).
Question How are fractions represented using powers? For instance 1234.56, how would you represent the .56 as power (is it 5 times 10 to the .1 power plus 6 times ten to the .01 power)?
Thank you
1 solutions
Answer 335983 by stanbon(57203) on 2011-09-10 21:57:01 (Show Source):
You can put this solution on YOUR website!how would you represent the .56 as power (is it 5 times 10 to the .1 power plus 6 times ten to the .01 power)?
----------------------------------
0.56 = 5*10^(-1) + 6*10^(-2)
===============================
Cheers,
Stan H.
==========
|
Linear-equations/495133: I need to graph -1/4 and y-intercept (0,-2) y = -1/4x - 2
I can not figure this out. Please help
1 solutions
Answer 335981 by stanbon(57203) on 2011-09-10 21:52:49 (Show Source):
You can put this solution on YOUR website!I need to graph -1/4 and y-intercept (0,-2) y = -1/4x - 2
----
I think this is what you want:
Put your pencil at (0,-2) on the y-axis.
-----
Comment: slope = -1/4 means "as x increases 4, y decreases by 1".
----
Move your pencil 4 to the right (0,+2); then move you pencil down 1
to (-1,+2)---put a point at (-1,+2)
---
Draw a line thru (0,-2) (-1,2)
That is the graph you want.
Cheers,
Stan H.
=========
|
Numbers_Word_Problems/495134: If a certain number is doubled and the result is increased by 7, the number obtained is 19. What is the original number?
1 solutions
Answer 335980 by stanbon(57203) on 2011-09-10 21:42:10 (Show Source):
You can put this solution on YOUR website!If a certain number is doubled and the result is increased by 7, the number obtained is 19. What is the original number?
---------------------
Let the number be "x":
Equation:
2x +7 = 19
2x = 12
x = 6
----------------
Cheers,
Stan H.
================
|
Equations/495135: How doyou go about solving the problem;
R=325-280e^-0.005t
This pertains to a roast. The questions are
1) What is the temp of the fridge?
2) What is the temp of the roast after 30 min?
1 solutions
Answer 335978 by stanbon(57203) on 2011-09-10 21:37:49 (Show Source):
You can put this solution on YOUR website!R=325-280e^-0.005t
This pertains to a roast. The questions are
1) What is the temp of the fridge?
R(0) = 325 - 280*1 = 45 degrees
------------------------------------
2) What is the temp of the roast after 30 min?
R(30) = 325 - 280*e ^-0.005*30 = 84 degrees
-------------------------------------
Cheers,
Stan H.
==============
|
Probability-and-statistics/494931: Once down to about 15, the world’s only wild flock of whooping cranes now numbers a record 237 birds in its Texas Coastal Bend wintering ground. The average whooping crane egg weighs 208 grams. A new batch of eggs was recently weighed, and their weights are listed below. At a _ 0.01, is there sufficient evidence to conclude that the weight is greater than 208 grams?
210 208.5 211.6 212 210.3
210.2 209 206.4 209.7
1 solutions
Answer 335964 by stanbon(57203) on 2011-09-10 20:45:23 (Show Source):
You can put this solution on YOUR website!Once down to about 15, the world’s only wild flock of whooping cranes now numbers a record 237 birds in its Texas Coastal Bend wintering ground. The average whooping crane egg weighs 208 grams. A new batch of eggs was recently weighed, and their weights are listed below. At a _ 0.01, is there sufficient evidence to conclude that the weight is greater than 208 grams?
210 208.5 211.6 212 210.3
210.2 209 206.4 209.7
----
Ho: u <= 208
Ha: u > 208 (claim)
------
x-bar = 209.74 ; s = 1.6734
test statistic: z(209.74) = (209.74-208)/1.6734 = 1.0398
Critical value: z = invNorm(.99) = 2.3263
-----
Conclusion: Since the test stat is not in the reject interval,
fail to reject Ho.
The test results do not support the claim.
============
Cheers,
stan H.
=============
|
Probability-and-statistics/495039: In a study of childhood asthma, 4,317 observations were collected on education and smoking
during pregnancy, shown in the 4 × 3 contingency table below. Research question: At α = .005,
is smoking during pregnancy independent of education level? (Data are from Michael Weitzman
and Deborah Klein Walker, “Maternal Smoking and Asthma,” Pediatrics 85, no. 4 [April 1990],
p. 507.)Education No Smoking <12
Pack ≥12
Pack Row Total
High School 1,370 290 270 1,930
Some College 635 68 53 756
College 550 30 18 598
Col Total 3,196 584 537 4,317
1 solutions
Answer 335954 by stanbon(57203) on 2011-09-10 20:20:09 (Show Source):
You can put this solution on YOUR website!In a study of childhood asthma, 4,317 observations were collected on education and smoking
during pregnancy, shown in the 4 × 3 contingency table below. Research question: At α = .005,
is smoking during pregnancy independent of education level? (Data are from Michael Weitzman
and Deborah Klein Walker, “Maternal Smoking and Asthma,” Pediatrics 85, no. 4 [April 1990],
p. 507.)Education No Smoking <12
Pack ≥12
Pack Row Total
High School 1,370 290 270 1,930
Some College 635 68 53 756
College 550 30 18 598
Col Total 3,196 584 537 4,317
-----
Ho: row and column factors are independent
Ha: row and column factors are not independent
--------------
I ran a Ch-Sq program on the 3x3 set of data and got the following:
test stat: Chi-Sq = 139.78
p-value: 3.15x10^-23
---
Conclusion: Since the p-value is less than 0.5%
reject Ho. The test does not support independence
of the row and column factors.
================================
Cheers,
Stan H.
============
|
Probability-and-statistics/495035: 15.20 A study of health care planning undertook a mail survey of hospital administrators in Arkansas, Louisiana, and east Texas. Research question: At α = .05, is the type of planning independent of the intensity of competition?
Degree of Limited Constituency Comprehensive
Competition Planning Planning Planning Row Total
Low 11 25 33 69
Moderate 19 23 15 57
High 43 25 17 85 Col Total 73 73 65 211
1 solutions
Answer 335948 by stanbon(57203) on 2011-09-10 20:04:41 (Show Source):
You can put this solution on YOUR website!At α = .05, is the type of planning independent of the intensity of competition?
Degree of Limited Constituency Comprehensive
Competition Planning Planning Planning Row Total
Low 11 25 33 69
Moderate 19 23 15 57
High 43 25 17 85 Col
Total 73 73 65 211
----------------------------------
Ho: Row and column factors are independent
Ha: Row and column factors are not independent
---------------------
I ran a Chi-Sq on the 3 by 3 data set and got the followiing:
test stat: Chi-Sq = 24.59
p-value: 0.00006075
---
Conclusion: Since the p-value < 5% , reject Ho.
The test results do not support concluding the
row and column factors are independent.
===========================================
Cheers,
Stan H.
|
Probability-and-statistics/495059: A. Classify the following as an example of nominal, ordinal, interval, or ratio level of mesurement, and state why it represents this level: ranking of college basketball teams.
B. Determine if this data is qualitative or quantitative: Home value.
C. In your own line of work give one example of a discrete and one example of a continius random variable, and describe why each is continous or discrete.
1 solutions
Answer 335945 by stanbon(57203) on 2011-09-10 19:43:58 (Show Source):
You can put this solution on YOUR website!A. Classify the following as an example of nominal, ordinal, interval, or ratio level of mesurement, and state why it represents this level:
ranking of college basketball teams.::: ordinal---simply ranks the teams
------------------------------------------
B. Determine if this data is qualitative or quantitative: Home value.
::::: ratio because there is a Real zero
------------------------------------------
C. In your own line of work give one example of a discrete and one example of a continius random variable, and describe why each is continous or discrete.
----------
time is continuous
pay is discrete
====================
Cheers,
Stan H.
============
|
percentage/495085: use an inequality to solve the problem. be sure to show all of your work.
a bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 33 marbles in it. at lease how many green marbles does it have?
1 solutions
Answer 335944 by stanbon(57203) on 2011-09-10 19:30:32 (Show Source):
You can put this solution on YOUR website!a bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 33 marbles in it. at least how many green marbles does it have?
-----
b = 2g
b + g >= 33
----
Substitute to get:
2g + g >= 33
3g >= 33
---
green >= 11
=================
Cheers,
Stan H.
=========================
|
Equations/495084: write an algebraic expression that represents how many segments can be drawn between n points
1 solutions
Answer 335939 by stanbon(57203) on 2011-09-10 18:56:47 (Show Source):
You can put this solution on YOUR website!write an algebraic expression that represents how many segments can be drawn between n points
---
Answer: nC2 = (n*(n-1))/2
=========================
Cheers,
stan H.
|
percentage/495076: solve the problem by ststing the equation you would use to solve and then solving it.
show all of your work.
after reciving a discourt of 12.5% on it buly order of printer paper, John's office supply pays $3200. what was the price of the order before the discount? round to the nearest dollar.
1 solutions
Answer 335934 by stanbon(57203) on 2011-09-10 18:48:50 (Show Source):
You can put this solution on YOUR website!after reciving a discount of 12.5% on a buy order of printer paper, John's office supply pays $3200. what was the price of the order before the discount? round to the nearest dollar.
---
Let original price be "x":
Equation:
x - 0.125x = 3200
---
0.875x = 3200
x = 3200/0.875
x = $3657,14
================
Cheers,
Stan H.
|
real-numbers/495075: Can you give me lots of examples, and the definition of a real number, rational number, irrational number, and integers. Please and thank you.
1 solutions
Answer 335930 by stanbon(57203) on 2011-09-10 18:37:11 (Show Source):
|
Linear-equations/495067: Can you find the slope and y-intercepts of the graph of 3y-12x=24? Give ordered pair.
1 solutions
Answer 335926 by stanbon(57203) on 2011-09-10 18:32:12 (Show Source):
You can put this solution on YOUR website!Can you find the slope and y-intercepts of the graph of 3y-12x=24?
Give ordered pair.
------------
Put the equation into slope-intercept form:
y - 4x = 8
y = 4x+8
slope = 4
intercept = 8
========================================
Cheers,
Stan H.
|
Linear-equations/495062: Write the equation of a line that has slope 2 and y-intercept (0, 1/2). Give the answers in slope-intercept form.
1 solutions
Answer 335925 by stanbon(57203) on 2011-09-10 18:23:19 (Show Source):
You can put this solution on YOUR website!Write the equation of a line that has slope 2 and y-intercept (0, 1/2). Give the answers in slope-intercept form.
-----
y = mx + b
m is the slope
b is the y-intercept
----
Equation:
y = 2x + 1/2
=====================
Cheers,
Stan H.
|
Expressions-with-variables/495055: The quotient of a number and 2 is the same as the difference of the number doubled and 3. What is the number?
1 solutions
Answer 335921 by stanbon(57203) on 2011-09-10 18:15:10 (Show Source):
You can put this solution on YOUR website!The quotient of a number and 2 is the same as the difference of the number doubled and 3. What is the number?
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Equation:
Let the number be "x":
(x/2) = 2x - 3
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x = 4x -6
3x = 6
x = 2
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Cheers,
stan H.
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Probability-and-statistics/495015: PLEASE HELP! I CANNOT FIGURE OUT NOR UNDERSTAND HOW TO DO THIS PROBLEM.
Keiths Florists has 16 delivery trucks, used mainly to deliver flowers and flower arrangements in the Greenville, South Carolina, area. Of these 16 trucks, 8 have brake problems. A sample of 6 trucks is randomly selected. What is the probability that 2 of those tested have defective brakes? (Round your answer to 4 decimal places.)
1 solutions
Answer 335911 by stanbon(57203) on 2011-09-10 17:41:01 (Show Source):
You can put this solution on YOUR website!Keiths Florists has 16 delivery trucks, used mainly to deliver flowers and flower arrangements in the Greenville, South Carolina, area.
Of these 16 trucks, 8 have brake problems.
A sample of 6 trucks is randomly selected.
What is the probability that 2 of those tested have defective brakes?
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Binomial Problem with n = 6 and p(defective) = 8/16 = 1/2
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P(x = 2) = 6C2(1/2)^2(1/2)^4 = 15(1/64) = 15/64 = 0.2344
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Cheers,
Stan H.
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Length-and-distance/495013: X has coordinates (a,3a), and Y has coordinates (-5a,0). What are the coordinates of the midpoint of XY?
1 solutions
Answer 335899 by stanbon(57203) on 2011-09-10 16:50:19 (Show Source):
You can put this solution on YOUR website!X has coordinates (a,3a), and Y has coordinates (-5a,0). What are the coordinates of the midpoint of XY?
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midpoint:
x-coordinate = (a-5a)/2 = -2a
y-coordinate = (3a+0)/2 = (3/2)a
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midpoint = (-2a, (3/2)a)
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Cheers,
Stan H.
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Numbers_Word_Problems/495006: Please help me solve this promblem tutors and thank you for your time . It is write an equation that represents : four more than twice a number is equal to 1/2 of the sum of the number and 6.
1 solutions
Answer 335894 by stanbon(57203) on 2011-09-10 16:43:06 (Show Source):
You can put this solution on YOUR website!write an equation that represents : four more than twice a number is equal to 1/2 of the sum of the number and 6.
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Let the number be "x":
2x + 4 = (1/2)(x+6)
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Cheers,
Stan H.
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Age_Word_Problems/495007: John is 5 years older than Mary. In 10 years, twice John's age decreased by Mary's age is 35, and John's age will be twice Mary's current age. Find their ages now.
If x is Mary's age now and y is John's age now, which system of equations could not be used to solve the problem?
1 solutions
Answer 335892 by stanbon(57203) on 2011-09-10 16:38:21 (Show Source):
You can put this solution on YOUR website!John is 5 years older than Mary.
In 10 years, twice John's age decreased by Mary's age is 35, and John's age will be twice Mary's current age. Find their ages now.
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If x is Mary's age now and y is John's age now, which system of equations could not be used to solve the problem?
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y = x + 5
2(y+10)-(x-10) = 35
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Substitute for "y" and solve for "x":
2(x+15) -x+10 = 35
x + 25 = 35
x = 10 yrs old (Mary's age now)
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y = x+5
y = 15 yrs old (John's age now)
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Cheers,
Stan H.
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Probability-and-statistics/494762: Hello I;m really confused on this problem...I just dont understand what to do. Im taking statistics online and emailed my teacher 3 days ago on help with question but havent gotten a respond...Help would be grealy appreciated...thanks a lot
Determine the critical region and critical values for z that would be used to test the null hypothesis at the given level of significance, as described in each of the following:
A)Ho:u< line underneath 83 and Ha:u>83 a=0.01
B)Ho:u> line underneath 92 and Ha:u<92 a=0.05
C)Ho:u=53 and Ha:u # 53 a=0.10
1 solutions
Answer 335807 by stanbon(57203) on 2011-09-10 08:08:41 (Show Source):
You can put this solution on YOUR website!Determine the critical region and critical values for z that would be used to test the null hypothesis at the given level of significance, as described in each of the following:
A)Ho:u< line underneath 83 and Ha:u>83 a=0.01
Right-tail tes with z = z = 2.3263
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B)Ho:u> line underneath 92 and Ha:u<92 a=0.05
Left-tail test with z = -1.645
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C)Ho:u=53 and Ha:u # 53 a=0.10
2-tail test with z = +/-1.645
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Cheers,
Stan H.
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Linear-equations/494825: I have done simple linear equations, such as 5x + 4 = 34, minus the 4 and divide the 30 with the 5 to get 6, so x = 6. But I am stumped on linear equations that have three on each side. My problem that I would like help on is:
(4x - 3 + 2x = 8x - 3 - x). I don't really know where to begin on this one. Any help would be very much appreciated, thank you. If you want to give me an example of how to do this kind of equation, I can figure out how to do this one on my own but I'm having no luck on this many digits.
1 solutions
Answer 335805 by stanbon(57203) on 2011-09-10 07:36:27 (Show Source):
You can put this solution on YOUR website!4x - 3 + 2x = 8x - 3 - x
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Combine "like" terms:
6x - 3 = 7x - 3
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Add 3 to both sides:
6x = 7x
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Subtract 6x from both sides:
x = 0
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cheers,
stan H.
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Probability-and-statistics/494763: A loaf of bread is normally distributed with a mean of22 oz. and a standard deviation of 0.5 oz.
a, what is the probability that a loaf is btwn 22.75and 23.00?
B, 5% of the loafs will weigh less than_____ ounces?
C, assuming 200 loaves are baked on a given day, how many of these will weigh more than 23 ounces? thanks for the help...
1 solutions
Answer 335804 by stanbon(57203) on 2011-09-10 07:09:34 (Show Source):
You can put this solution on YOUR website!A loaf of bread is normally distributed with a mean of 22 oz. and a standard deviation of 0.5 oz.
a, what is the probability that a loaf is btwn 22.75 and 23.00?
z(22.75) = (22.75-22)/0.5 = 0.75/0.5 = 1.5
z(23) = (23-22)/0.5 = 2
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P(22.75 < x < 2300) = P(1.5 < z < 2) = 0.0441
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B, 5% of the loafs will weigh less than_____ ounces?
Find the z-value with a left tail of 5%:
z = invNorm(0.05) = -1.645
Find the corresponding x value using x = zs + u
x = -1.645*0.5 + 22 = 21.1775
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C, assuming 200 loaves are baked on a given day, how many of these will weigh more than 23 ounces?
z(23) = 2
P(x > 23) = P(z > 2) = 0.0228
Expected # above 23 = 0.0228*200 = 4.55 loaves
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Cheers,
Stan H.
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Probability-and-statistics/494820: ) A bag contains 4 white and 5 black balls. One ball is drawn from the bag and is not replaced, when the second ball is drawn. Find the probability that both balls of the drawing are white.
1 solutions
Answer 335803 by stanbon(57203) on 2011-09-10 06:59:35 (Show Source):
You can put this solution on YOUR website!A bag contains 4 white and 5 black balls. One ball is drawn from the bag and is not replaced, when the second ball is drawn. Find the probability that both balls of the drawing are white.
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P(white AND white) = P(white)*P(white|white) = (4/9)*(3/8) = 1/6
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Cheers,
Stan H.
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Probability-and-statistics/494801: I'm struggling to calculate this, stats is one of my subjects (long distance learning), but do not understand it. Could you please show me how to calculate the following:
A normal population has a mean of 75 and a standard deviation of 5. A sample of size 40 has been randomly selected. The probability that the sample mean is less than 74 is equal to:
1. 0.4207
2. 0.0020
3. 0.1038
4. 0.0548
5. 0.5793
1 solutions
Answer 335802 by stanbon(57203) on 2011-09-10 06:56:35 (Show Source):
You can put this solution on YOUR website!A normal population has a mean of 75 and a standard deviation of 5. A sample of size 40 has been randomly selected. The probability that the sample mean is less than 74 is equal to:
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t(74) = (74-75)/[5/sqrt(40)] = -1.2649
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P(x-bar < 74) = P(t < -1.2649 when df = 39) = 0.1067
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If you use the z-distribution you would get:
P(x-bar < 74) = P(z <-1.2649) = 0.1030
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Cheers,
Stan H.
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1. 0.4207
2. 0.0020
3. 0.1038
4. 0.0548
5. 0.5793
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