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Recent problems solved by 'stanbon'
stanbon answered: 57171 problems
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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, >>NextWord_Problems_With_Coins/557121: In a pile of nickles and dimes, the number of nickles is three rimes the number of dimes and the pile is worth $1.75. How many nickles are there? 1 solutions
Answer 362451 by stanbon(57239) on 2012-01-14 08:29:30 (Show Source):
You can put this solution on YOUR website! In a pile of nickles and dimes, the number of nickles is three rimes the number of dimes and the pile is worth $1.75. How many nickles are there?
-----
Equations:
Quantity: n = 3d
Value: 5n + 10d = 175 cents
----
Substitute for "n" and solve for "d":
5(3d) + 10d = 175
25d = 175
d = 7 (# of dimes)
---
# of nickels = 3d = 21
============================
Cheers,
Stan H.
============
|
Numbers_Word_Problems/557116: Ramil can paint a fence in 4 hours, while Dino can do it in 5 hours. If they work together, what part of the fence can they paint in one hour? How long will it take them to finish painting the fence if they work together? 1 solutions
Answer 362450 by stanbon(57239) on 2012-01-14 08:26:42 (Show Source):
You can put this solution on YOUR website!Ramil can paint a fence in 4 hours, while Dino can do it in 5 hours. If they work together, what part of the fence can they paint in one hour? How long will it take them to finish painting the fence if they work together?
-------
Ramil rate: 1/4 job/hr
Dino rate: 1/5 job/hr
together rate: 1/x job/hr
-----
Equation:
rate + rate = together rate
1/4 + 1/5 = 1/x
5x + 4x = 20
9x = 20
Together rate: 1/x = 9/20 job/hr
----
Time to finish the job (11/20 th of the job)
---
Let "x" be amount of time to finish the job together.
x(20/9) = 21/20
x = 21/9 hrs = 2 1/3 hrs
===================================
Cheers,
Stan H.
===========
|
Subset/557118: what are all the subsets of { 8, 15, 28, 41, 60} 1 solutions
Answer 362445 by stanbon(57239) on 2012-01-14 07:13:57 (Show Source):
You can put this solution on YOUR website!The sets with:
0 elements-----1 set
1 element------5 set
2 elemets::::::10 of those
3 elements:::::10 of those
4 elements::::: 5 of those
5 eleemtns::::: 1 set
---
Total 32 sets
====================
Cheers,
Stan H.
|
Probability-and-statistics/557004: I did a science experiment and found the average distance of a particular item launched off a ramp on top of a table. Now I have to find the average velocity. The average distance traveled that I came up with is 35.5 inches from the table and the table height is 31 inches. I'm using the following equation to determine the average velocity: R= velocity√ 2H/g. Where velocity =R√2H/g. R=35.5, g=9.8m/s², H=31inches. Thanks for your assistance. If you do provide the answer I really need to understand how it is done. 1 solutions
Answer 362372 by stanbon(57239) on 2012-01-13 17:33:50 (Show Source):
You can put this solution on YOUR website!I'm using the following equation to determine the average velocity:
R= velocity√ 2H/g. Where velocity = R√2H/g.
R=35.5, g=9.8m/s², H=31inches.
-------------------
Velocity = 35.5/sqrt[2*31/9.8]
---
= 35.5/sqrt[62/9.8]
= 35.5/sqrt[6.3265]
= 35.5/2.5153
= 14.11 in/s^2
==================================================
Cheers,
Stan H.
==============
|
Probability-and-statistics/556797: A jar contains 25 candies of which 15 are chocolate and 10 are mint. A sample of 5 candies is to be selected.
a)how many different samples are possible?
b)how many samples contain chocolate candies?
c)how many samples contain 3 chocolate and 2 mint candies?
d) how many samples contain atleast 4 mint candies?{" 1 solutions
Answer 362371 by stanbon(57239) on 2012-01-13 17:26:34 (Show Source):
You can put this solution on YOUR website!A jar contains 25 candies of which 15 are chocolate and 10 are mint.
A sample of 5 candies is to be selected.
a)how many different samples are possible?
25C5 = 53130
------------------------------
b)how many samples contain chocolate candies?
15C5
-------
c)how many samples contain 3 chocolate and 2 mint candies?
15C3*10C2 = 20,475
-----
d) how many samples contain at least 4 mint candies?
10C4*15C1 + 10C5 = = 3402
========================
Cheers,
Stan H.
-------------------------
|
Probability-and-statistics/556947: IN GAMBLING, THE CHANCES OF WINNING ARE OFTEN WRITTEN IN TERMS OF ODDS RATHER THAN PROBABILITIES. THE ODDS OF WINNING IS THE RATION OF THE NUMBER OF SUCCESSFUL OUTCOMES TO THE NUMBER OF UNSUCCESSFUL OUTCOMES TO THE NUMBER OF SUCCESSFUL OUTCOMES. FOR EXAMPLE, IF THE NUMBER OF SUCCESSFUL OUTCOMES IS 2 and the number of unsuccessful outcomes is 3.THE ODDS OF WINNING ARE 2:3 (read “2 to “3) OR 2/3. (NOTE: IF THE ODDS OF WNNING ARE 2/3. THE PROBABILITY OF SUCCESS IS 2/5)
The odds of an event occurring 2:5.
FIND (A) THE PROBABILITY THAT THE EVENT WILL OCCUR AND (b) THE PROBABILIY THAT THE EVENT WILL NOT OCCUR.
(A) The probability that the event will occur is ___________. (Round to the nearest thousandths as needed).
(B)The probability that the event will not occur is: __________. (Round to the nearest thousandths as needed).
1 solutions
Answer 362369 by stanbon(57239) on 2012-01-13 17:11:40 (Show Source):
You can put this solution on YOUR website!IN GAMBLING, THE CHANCES OF WINNING ARE OFTEN WRITEN IN TERMS OF ODDS RATHER THAN PROBABILITIES. THE ODDS OF WINNING IS THE RATIO OF THE NUMBER OF SUCCESSFUL OUTCOMES TO THE NUMBER OF UNSUCCESSFUL OUTCOMES.
--------------------------
FOR EXAMPLE, IF THE NUMBER OF SUCCESSFUL OUTCOMES IS 2 and the number of unsuccessful outcomes is 3, THE ODDS OF WINNING ARE 2:3 (read “2 to “3) OR 2/3. (NOTE: IF THE ODDS OF WNNING ARE 2/3. THE PROBABILITY OF SUCCESS IS 2/5)
----------------------------
The odds of an event occurring 2:5.
FIND (A) THE PROBABILITY THAT THE EVENT WILL OCCUR:::2/7
-------------
(b) THE PROBABILIY THAT THE EVENT WILL NOT OCCUR.::5/7
-------------
Cheers,
Stan H.
=============
|
Probability-and-statistics/556954: THE DATA SHOW THE LENGTHS ( IN INCHES) OF A SAMPLE OF 14 BUTERFLY WINGS.
A. FIND THE DATA SET’S FIRST, SECOND, AND THIRD QUARTILES.
"3.9 ","4.2 ","5.0 ","4.5 ","3.2 ","3.4 ","4.1 ","3.2 ","4.4 ","4.9 ","3.2 ","4.4 ","4.9 , "3.1"
FIND THE THREE QUARTILES.
Q=(1)_____________
Q (2) =__________
Q (3) =____________
1 solutions
Answer 362368 by stanbon(57239) on 2012-01-13 16:59:01 (Show Source):
You can put this solution on YOUR website!THE DATA SHOW THE LENGTHS ( IN INCHES) OF A SAMPLE OF 14 BUTERFLY WINGS.
A. FIND THE DATA SET’S FIRST, SECOND, AND THIRD QUARTILES.
"3.9 ","4.2 ","5.0 ","4.5 ","3.2 ","3.4 ","4.1 ","3.2 ","4.4 ","4.9 ","3.2 ","4.4 ","4.9 , "3.1"
FIND THE THREE QUARTILES.
Q=(1) 3.2"
Q (2) 4.15"
Q (3) 4.5"
=================
Cheers,
Stan H.
|
Probability-and-statistics/556983: you have 100 cans of soda 40 cola, 10 ginger ale, 20 orange, and 30 grape of the 100 sodas what is the probability of choosing ginger ale ?. 1 solutions
Answer 362367 by stanbon(57239) on 2012-01-13 16:50:22 (Show Source):
You can put this solution on YOUR website!you have 100 cans of soda 40 cola, 10 ginger ale, 20 orange, and 30 grape of the 100 sodas what is the probability of choosing ginger ale ?.
---
P(ginger ale) = 10/(40+10+20+30) = 10/100 = 1/10
-------------------
Cheers,
Stan H.
===================
|
Graphs/556993: How do you graph and identify the y-intercept?
2y+5x=-2 1 solutions
Answer 362366 by stanbon(57239) on 2012-01-13 16:46:52 (Show Source):
You can put this solution on YOUR website!How do you graph and identify the y-intercept?
2y+5x=-2
----
Solve for "y":
y = (-5/2)x -1
---
y-intercept is ?
Let x = 0, then y = -1
----
y-intercept:: (0,-1)
=====================
Cheers,
Stan H.
==============
|
Finance/556991: How can I tell whether -4x + 2y = -2 represents a direct variation? 1 solutions
Answer 362365 by stanbon(57239) on 2012-01-13 16:43:35 (Show Source):
You can put this solution on YOUR website!How can I tell whether -4x + 2y = -2 represents a direct variation?
-----
2y = 4x - 2
y = 2x -1
----
As x increases, y increases.
x and y are directly related.
---
Note: Every linear function expresses a direct variation.
===========================================================
Cheers,
Stan H.
---------
|
Miscellaneous_Word_Problems/556933: The stock market gained 47 points on Tuesday and lost 21 points on Wednesday. It had closed on Monday at 9711 points. Where did the stock market close on Wednesday? how do you translate it into a mathematical equation? 1 solutions
Answer 362336 by stanbon(57239) on 2012-01-13 13:45:01 (Show Source):
You can put this solution on YOUR website!The stock market gained 47 points on Tuesday and lost 21 points on Wednesday. It had closed on Monday at 9711 points. Where did the stock market close on Wednesday? how do you translate it into a mathematical equation?
------
Let "x" be points at closing on Wednesday.
---
x = 9711 + 47 - 21
---
x = 9737
==============
Cheers,
Stan H.
===============
|
Permutations/556932: you and two friends each randomlypick a movie from 7 choices. what is the probibility that you will all pick the same movie? 1 solutions
Answer 362335 by stanbon(57239) on 2012-01-13 13:42:16 (Show Source):
You can put this solution on YOUR website!you and two friends each randomlypick a movie from 7 choices. what is the probibility that you will all pick the same movie?
----
Binomial Problem with n = 3 and p(same) = 1/7
----
P(x = 3) = 3C3*(1/7)^3*(6/7)^0 = (1/7)^3 = 0.0029
===============
Cheers,
Stan H.
===============
|
Mixture_Word_Problems/556931: how many pounds of a 6 percent solution and water should be mixed together to obtain 150lbs of a 5 percent solution? 1 solutions
Answer 362333 by stanbon(57239) on 2012-01-13 13:39:38 (Show Source):
You can put this solution on YOUR website!how many pounds of a 6 percent solution and water should be mixed together to obtain 150lbs of a 5 percent solution?
------
Equation:
active + active = active
0.06x + 0*(150-x) = 0.05*150
---
Multiply thru by 100 to get:
6x + 0 = 5*150
---
x = 5*25
x = 125 lbs (amt. of 6% solution needed)
150-x = 25 lbs (amt of water needed)
==========================================
Cheers,
Stan H.
|
logarithm/556913: Find the value of in the follwing:
LOG x=-4
10
plzzzzzzzzzzzzzzzzzzzz answer this question 1 solutions
Answer 362323 by stanbon(57239) on 2012-01-13 12:57:38 (Show Source):
You can put this solution on YOUR website!LOG x=-4
10
----
log10(x) = -4
---
That means "the power of 10 that gives you x is -4".
---------
x = 10^-4
------
x = 1/10000
=================
Cheers,
Stan H.
|
Mixture_Word_Problems/556911: from 2 stock solutions 18% and 42% you are to prepare 1.5 liters of a 34% solution. How many milligrams of each stock do you need? 1 solutions
Answer 362322 by stanbon(57239) on 2012-01-13 12:54:43 (Show Source):
You can put this solution on YOUR website!from 2 stock solutions 18% and 42% you are to prepare 1.5 liters of a 34% solution. How many milligrams of each stock do you need?
-----
Equation:
active + active = active
0.18x + 0.42(1.5-x) = 0.34*1.5
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Multiply thru by 100 to get:
18x + 42*1.5-42x = 34*1.5
-24x = -18
x = 3/4 liters (amt of 18% solution needed)
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1.5-x = 3/4 liters (amt of 42% solution needed)
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Cheers,
Stan H.
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Travel_Word_Problems/556825: It takes James and Bret 15 minutes to travel 5 miles upstream against the current. The return trip downstream with the current takes 10 minutes. The speed of the current remained constant.
I need help with finding their speed for upstream and downstream and then finding the boat and current speeds... 1 solutions
Answer 362282 by stanbon(57239) on 2012-01-13 09:31:53 (Show Source):
You can put this solution on YOUR website!It takes James and Bret 15 minutes to travel 5 miles upstream against the current. The return trip downstream with the current takes 10 minutes. The speed of the current remained constant.
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Upstream DATA:
distance = 5 miles ; time = 1/4 hr ; rate = d/t = 5/(1/4) = 20 mph
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Downstream DATA:
distance = 5 miles ; time = 1/6 hr ; rate = d/t = 5/(1/6) = 30 mph
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Equation:
b + c = 30 mph
b - c = 20 mph
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Add and solve for "b":
2b = 50 mph
b = 25 mph (speed of the boat in still water)
---
Solve for "c":
b + c = 30
25 + c = 30
c = 5 mph (speed of the current)
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Cheers,
Stan H.
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test/556851: My problem: Describe a method of writing the quadratic expression( x^2 +bx +c) in the form (x-h)^2 +g
Thanks again for the help 1 solutions
Answer 362280 by stanbon(57239) on 2012-01-13 09:26:17 (Show Source):
You can put this solution on YOUR website!Describe a method of writing the quadratic expression( x^2 +bx +c) in the form (x-h)^2 +g
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Complete the square on the x-terms:
----
x^2 + bx + c
----
= x^2 + bx + (b/2)^2 + c - (b/2)^2
-----
= (x+(b/2))^2 + [(4c-b^2)]/4
==============================
Cheers,
Stan H.
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Numbers_Word_Problems/556827: the product of three consequetive numbers is 2730? what is the sum of these numbers? 1 solutions
Answer 362277 by stanbon(57239) on 2012-01-13 09:19:00 (Show Source):
You can put this solution on YOUR website!the product of three consequetive numbers is 2730? what is the sum of these numbers?
---
1st: x-1
2nd: x
3rd: x+1
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Product: x(x^2-1) = 2730
x^3-x-2730 = 0
I graphed the cubic and found a solution at x = 14
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1st: x-1 =13
2nd: x = 14
3rd: x+1 = 15
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Sum = 3x = 3*14 = 42
========================
Cheers,
Stan H.
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Money_Word_Problems/556846: a carpenter sells a centre table for rupees 322 , getting (1.6)th of its cost price . find his gain percent 1 solutions
Answer 362273 by stanbon(57239) on 2012-01-13 09:08:08 (Show Source):
You can put this solution on YOUR website!a carpenter sells a centre table for rupees 322 , getting (1.6)th of its cost price . find his gain percent
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Let original cost be "x":
Equation:
1.6x = 322
x = 201.25
----
Quantity gain = 322-201.25 = 120.75
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Percent gain = 120.75/201.25 = 0.6 = 60%
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Cheers,
Stan H.
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Linear-equations/556847: Find the equation of a line whose slope is undefined and passing through the points (2 , 5). 1 solutions
Answer 362272 by stanbon(57239) on 2012-01-13 09:03:01 (Show Source):
You can put this solution on YOUR website!Find the equation of a line whose slope is undefined and passing through the points (2 , 5).
----
If the slope is undefined, the line is a vertical line.
Plot the point (2,5)
Draw a vertical line thru it.
---
Notice that the line passes thru ALL the points
where x = 2.
----
Equation:
x = 2
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Cheers,
Stan H.
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Probability-and-statistics/556804: 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 362270 by stanbon(57239) on 2012-01-13 08:46:35 (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).
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Ho: u = 70
Ha: u > 70 (claim)
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test stat: t(71.8) = (71.8-70)/[8.9/sqrt(100)] = 2.0225
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p-value: P(t > 2.0225 when df = 99) = tcdf(2.0225,100,99) = 0.0229
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Since the p-value is less than 5%, reject Ho.
The test results support the claim that the
life span is greater than 70.
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Cheers,
Stan H.
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Probability-and-statistics/556814: Suppose that 5% of Americans are afraid of being alone in a house at night. If a random sample of 18 Americans is selected, find the following probability by using a binomial table. Give your final answer to three decimal places. There are exactly 4 people in the sample who are afraid of being alone at night.
Can someone please help! I am not good at word problems. 1 solutions
Answer 362269 by stanbon(57239) on 2012-01-13 08:38:42 (Show Source):
You can put this solution on YOUR website!Suppose that 5% of Americans are afraid of being alone in a house at night. If a random sample of 18 Americans is selected, find the following probability by using a binomial table. Give your final answer to three decimal places. There are exactly 4 people in the sample who are afraid of being alone at night.
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Binomial Problem with n = 18 and p(afraid) = 0.05
----
P(x = 4) = 18C4*0.05^4*0.95^14 = binompdf(18,0.05,4) = 0.0093
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Cheers,
Stan H.
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test/556844: my problem: Where would you expect the vertex on the graph Y= (x-4)^2 +5 to be? Explain why?
Thank You 1 solutions
Answer 362267 by stanbon(57239) on 2012-01-13 08:35:08 (Show Source):
You can put this solution on YOUR website!my problem: Where would you expect the vertex on the graph Y= (x-4)^2 +5 to be? Explain why?
The graph is a parabola opening upward.
It has a minimum point at its vertex.
--
The smallest value y can have occurs
when x = 4.
That y-value is 5
---
So the vertex is at (4,5)
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Cheers,
Stan H.
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Travel_Word_Problems/556832: A bicycle leaves town at 16 mph at 8 AM. A car leaves at 11 AM traveling the same direction at 45 mph. How many minutes after 11 AM is it when the car overtakes the bicycle? 1 solutions
Answer 362266 by stanbon(57239) on 2012-01-13 08:32:34 (Show Source):
You can put this solution on YOUR website!A bicycle leaves town at 16 mph at 8 AM. A car leaves at 11 AM traveling the same direction at 45 mph. How many minutes after 11 AM is it when the car overtakes the bicycle?
-----
Bike DATA:
rate = 16 mph ; time = x hrs ; distance = 16x miles
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Car DATA:
rate = 45 mph ; time = x-3 hrs ; distance = 45x-135 miles
-----
Equation:
distance = distance
16x = 45x -135
29x = 135
x = 4.66 hrs
x-3 = 1.66 hrs = 99.31 minutes
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Cheers,
Stan H.
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