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Recent problems solved by 'stanbon'
stanbon answered: 57214 problems
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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239, >>Next
Travel_Word_Problems/503875: During a storm, two teams of scientists leave a university at the same time to search for tornado's. The first team travels east at 20 MPH and the second leaves 15 minuets after the first and travels west at 25 MPH. If their radios have a range of 90 miles, how long will it be before they lose radio contact with one another?
1 solutions
Answer 339440 by stanbon(57282)   on 2011-09-25 11:35:48 (Show Source):
You can put this solution on YOUR website!During a storm, two teams of scientists leave a university at the same time to search for tornado's. The first team travels east at 20 MPH and the second leaves 15 minuets after the first and travels west at 25 MPH. If their radios have a range of 90 miles, how long will it be before they lose radio contact with one another?
---
East-bound car:
rate = 20 mph ; time = x hrs ; distance = 20x miles
---
West-bound car:
rate = 25 mph ; time = x-(1/4) hrs ; distance = 25(x-(1/4) miles
-----------------
Equation:
dist + dist = 90 miles
20x + 25x - 25/4 = 90
80x + 100x - 25 = 360
---
180x = 385
x = 2.1389 hrs
---
x = 2 hr 8 1/3 minutes
=============================
Cheers,
Stan H.
=================
|
Rational-functions/503871: x^2-16/x divided by x+4/x+5 help please
1 solutions
Answer 339438 by stanbon(57282) on 2011-09-25 11:29:18 (Show Source):
You can put this solution on YOUR website!(x^2-16)/x divided by (x+4)/(x+5)
----
Invert the denominator and multiply to get:
[(x^2-16)/x] * [(x+5)/(x+4)]
----
Factor where you can:
[(x+4)(x-4)/x] * [(x+5)/(x+4)]
-----
Cancel the common factor: x+4
-----
= [(x-4)(x+5)]/x
=========================
Cheers,
stan H.
|
Geometry_Word_Problems/503872: A triangle has interior angles that measure 70 degrees and 40 degrees. What is the measure of the third interior angle?
1 solutions
Answer 339436 by stanbon(57282) on 2011-09-25 11:24:08 (Show Source):
You can put this solution on YOUR website!A triangle has interior angles that measure 70 degrees and 40 degrees.
What is the measure of the third interior angle?
--------
3rd angle = 180-(70+40)
---
3rd angle = 180-110
---
3rd angle = 70 degrees
==========================
Cheers,
Stan H.
===========
|
Rational-functions/503868: y-9/y+5=1/7 help solve
1 solutions
Answer 339434 by stanbon(57282) on 2011-09-25 11:20:29 (Show Source):
You can put this solution on YOUR website!(y-9)/(y+5) = 1/7
---
Cross-multiply to get:
7(y-9) = y+5
7y-63 = y+5
6y = 68
y = 11 1/3
==============
Check:
((34/3)-9)/((34/3)+5) = 1/7
-----
((34/3)-(27/3))/((34/3)+(15/3)] = 1/7
----
(7/3)/(49/3) = 1/7
---
7/49 = 1/7
----
1/7 = 1/7
=============
Cheers,
Stan H.
=================
|
Linear-systems/503867: Savannah and her soccer team of 18 players are invited to the womans national game in Toronto. There are 72 seats available. Every regular priced ticket is valued at $150.00 each. However, Savannah's mother was friends with the box office guy, and received a discount of 25% off.What was the total amount of money saved(in $)?
My question:
What are two let statements, and 2 equations that represent this word problem?
1 solutions
Answer 339433 by stanbon(57282) on 2011-09-25 11:17:32 (Show Source):
You can put this solution on YOUR website!Savannah and her soccer team of 18 players are invited to the woman's national game in Toronto.
------------------------
There are 72 seats available.
------
Every regular priced ticket is valued at $150.00 each.
------
However, Savannah's mother was friends with the box office guy, and received a discount of 25% off.
-------
What was the total amount of money saved(in $)?
---
Money saved = 0.25*150 = $37.50
My question:
What are two let statements, and 2 equations that represent this word problem?
---
price per discounted ticket = 150-0.25*150 = 0.75*150 = $112.50
---
Cost for the 72 tickets = 112.5*72 = $8100.00
==========
Cheers,
Stan H.
==========
|
Length-and-distance/503865: the midpoint of cd is m(-3,-7). if the coordinates of c are (-2,-10), what are the coordinates of d?
1 solutions
Answer 339431 by stanbon(57282) on 2011-09-25 11:11:31 (Show Source):
You can put this solution on YOUR website!the midpoint of cd is m(-3,-7). if the coordinates of c are (-2,-10), what are the coordinates of d?
---
The midpoint coordinates are the average of the end-point coordinates.
----
Let the coordinates of d be (x,y)
---
Solve:
(x+-2)/2 = -3
(y+-10)/2 = -7
----
x-2 = -6
y-10 = -14
---
x = = -4
y = -4
------------
Cheers,
Stan H.
============
|
Equations/503830: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the same house together?
1 solutions
Answer 339428 by stanbon(57282) on 2011-09-25 09:38:36 (Show Source):
You can put this solution on YOUR website!If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the same house together?
--------------------
Sally time = 4 hrs/job ; rate = 1/4 job/hr
---
John time = 6 hrs/job ; rate = 1/6 job/hr
---
Together time = x hrs/job ; rate = 1/x job/hr
--------
Equation:
rate + rate = together rate
1/4 + 1/6 = 1/x
---
Multiply thru by 12x to get:
3x + 2x = 12
5x = 12
x = 12/5 = 2hr 24min (time to do the job together)
---------------
Cheers,
Stan H.
=============
|
Probability-and-statistics/503642: Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 588 depressed individuals is selected and treated with Resithan, and 203 find relief from their depression. A random sample of 438 depressed individuals is independently selected from the first sample and treated with Exemor, and 177 find relief from their depression. Can we conclude, at the 0.1 level of significance, that the proportion p1 of depressed individuals taking Resithan who find relief from depression is less than the proportion p2 of all depressed individuals taking Exemor who find relief from depression?
Perform a one-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.
1 solutions
Answer 339427 by stanbon(57282) on 2011-09-25 09:31:26 (Show Source):
You can put this solution on YOUR website!Two popular drugs used for the treatment of depression are Resithan and Exemor.
------
A random sample of 588 depressed individuals is selected and treated with Resithan, and 203 find relief from their depression.
------
A random sample of 438 depressed individuals is independently selected from the first sample and treated with Exemor, and 177 find relief from their depression.
-------
Can we conclude, at the 0.1 level of significance, that the proportion p1 of depressed individuals taking Resithan who find relief from depression is less than the proportion p2 of all depressed individuals taking Exemor who find relief from depression?
----
Ho: pr-pe >= 0
Ha: pr-pe < 0 (claim)
-----------------------
I ran a 2-PropZtest on a TI-84 to get the following:
test stat: z = -1.9315
p-value:: 0.0267
---
Conclusion: Since the p-value is greater than 1%, fail
to reject Ho.
The test results do not support the claim.
=============
Cheers,
Stan H.
=============
|
Probability-and-statistics/503814: A test consists of 10 multiple choice questions, each with 5 possible answers, one of which is correct. TO pass the test a student must get 60% or better on the test. If a student randomly guesses, what is the probability the student will pass the test?
how would i solve this? i know that n=10 abd p is either= .05 (5/100) or .05X.5=.025 i times the .05 but .5 because the student ramdomly guess which is 50%
1 solutions
Answer 339422 by stanbon(57282) on 2011-09-25 09:19:33 (Show Source):
You can put this solution on YOUR website!A test consists of 10 multiple choice questions, each with 5 possible answers, one of which is correct. TO pass the test a student must get 60% or better on the test. If a student randomly guesses, what is the probability the student will pass the test?
how would i solve this? i know that n=10 abd p is either= .05 (5/100) or .05X.5=.025 i times the .05 but .5 because the student ramdomly guess which is 50%
----------------
Binomial Problem with n = 10 and p = 1/5
---
60% of 10 is 6
---
Solve using a TI-84 calculator:
P(6<= x <=10)
= 1-P(0<= x <=5)
= 1-binomcdf(10,1/5,5)
= 0.0064
------------
Cheers,
Stan H.
================
|
Linear-equations/503822: determine the domain and range of the relation and tell whether
the relation is a function (5,5), (23,-1), (5,0)(53,0)
what is the domain......
what is the range.....
is the relation a function
1 solutions
Answer 339420 by stanbon(57282) on 2011-09-25 09:12:55 (Show Source):
You can put this solution on YOUR website!determine the domain and range of the relation and tell whether
the relation is a function (5,5), (23,-1), (5,0)(53,0)
what is the domain......:: {5,23,53}
what is the range.....:: {5,-1,0}
is the relation a function :: No because 5 is associated with 2 values,
5 and 0.
============
Cheers,
Stan H.
============
|
Probability-and-statistics/503575: Hi! Can you please help out with this problem? I can come up with the z scores... like z(0) = (0-0.052)/0.086 = -0.60465... but I don't have a financial calculator and don't know what the formula is for finding out the probability. Thank you so much!
An investment broker reports that the yearly returns on common stocks are approximately normally distributed with a mean return of 12.4 percent and a standard deviation of 20.6 percent.
On the other hand, the firm reports that the yearly returns on tax free municipal bonds are approximately normally distributed with a mean return of 5.2 percent and a standard deviation of 8.6 percent. Find the probability that a randomly selected:
A) Common stock will give a positive yearly return
B)Tax free municipal bond will give a positive yearly return.
C) Common stock will give more than a 10 percent return.
D) Taxfree municipal bond will give more than a 10 percent return.
E) Common stock will give a loss of at least 10 percent.
F) Tax free municipal bond will give a loss of at least 10 percent
Recalling from this problem that yearly returns on common stocks are normally distributed with a mean of 12.4 percent and a standard deviation of 20.6 percent.
A) What percentage of yearly returns are at or below the 10th percentile of the distribution of yearly returns? What percentage are at or above the 10th percentile? Find the 10th percentile of the distribution of yearly returns.
B) Find the first quartile, Q1 and the third quartile, Q3 of the distribution of yearly returns.
1 solutions
Answer 339367 by stanbon(57282) on 2011-09-24 22:08:11 (Show Source):
You can put this solution on YOUR website!An investment broker reports that the yearly returns on common stocks are approximately normally distributed with a mean return of 12.4 percent and a standard deviation of 20.6 percent.
-------------------------------
On the other hand, the firm reports that the yearly returns on tax free municipal bonds are approximately normally distributed with a mean return of 5.2 percent and a standard deviation of 8.6 percent.
Find the probability that a randomly selected:
A) Common stock will give a positive yearly return:::
normalcdf(0,1,0.124,0.206) = 0.7264
---
B)Tax free municipal bond will give a positive yearly return.
---
C) Common stock will give more than a 10 percent return.
normalcdf(0.1,1,0.124,0.206)= 0.5464
---
D) Taxfree municipal bond will give more than a 10 percent return.
---
E) Common stock will give a loss of at least 10 percent.
normalcdf(-1,-0.1,0.124,0.206) = 0.1384
---
F) Tax free municipal bond will give a loss of at least 10 percent
-------------
Recalling from this problem that yearly returns on common stocks are normally distributed with a mean of 12.4 percent and a standard deviation of 20.6 percent.
A) What percentage of yearly returns are at or below the 10th percentile of the distribution of yearly returns?
normalcdf(-1,0.1,0.124,0.206) = 0.4536
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et. cetera
----
Cheers,
Stan H.
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What percentage are at or above the 10th percentile?
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Find the 10th percentile of the distribution of yearly returns.
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B) Find the first quartile, Q1
and the third quartile, Q3
of the distribution of yearly returns.
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Age_Word_Problems/503656: In 2011, skateboarding legend Micheal Jordan's age was twice that of Olympic Star Lebron James minus 0 years. The sum of their ages in 2011 was 72. How old were Micheal and Lebron in 2011?
1 solutions
Answer 339343 by stanbon(57282) on 2011-09-24 20:03:41 (Show Source):
You can put this solution on YOUR website!In 2011, skateboarding legend Micheal Jordan's age was twice that of Olympic Star Lebron James minus 0 years. The sum of their ages in 2011 was 72. How old were Micheal and Lebron in 2011?
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Equations:
m = 2j
m + j = 72
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Substitute for "m" and solve for "j":
2j + j = 72
3j = 72
j = 24 (Lebron's age in 2011)
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Solve for "m":
m + j = 72
m + 24 = 72
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m = 48 (Jordan's age in 2011)
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Cheers,
Stan H.
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Linear_Equations_And_Systems_Word_Problems/503654: if the score of a standardized test declines 1.18 per year since 1966, the average score was 542 in 1966, how would i write a linear equation to estimate the score,s, in terms of x years after 1966?
1 solutions
Answer 339340 by stanbon(57282) on 2011-09-24 19:56:35 (Show Source):
You can put this solution on YOUR website!if the score of a standardized test declines 1.18 per year since 1966, the average score was 542 in 1966, how would i write a linear equation to estimate the score,s, in terms of x years after 1966?
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Slope is the change in test scores per year = -1.18
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Equation:
score = 542-1.18x where x is the number of years after 1966
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Cheers,
Stan H.
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Travel_Word_Problems/503644: The cold-water faucet fills a bathtub in 12min, and the hot-water faucet fills the bathtub in 10min. If you remove the stopper, a full tub will empty in 6min. How long will it take to fill the tub if both faucets are on and the stopper is removed?
1 solutions
Answer 339338 by stanbon(57282) on 2011-09-24 19:50:11 (Show Source):
You can put this solution on YOUR website!The cold-water faucet fills a bathtub in 12min, and the hot-water faucet fills the bathtub in 10min. If you remove the stopper, a full tub will empty in 6min. How long will it take to fill the tub if both faucets are on and the stopper is removed?
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Cold rate = 1/12 job/min
Warm rate = 1/10 job/min
Drain rate = 1/6 job/min
Together rate = 1/x job/min
----
Equation:
rate + rate - rate = together rate
1/12 + 1/10 - 1/6 = 1/x
Multiply thru by 60x to get:
5x + 6x - 10x = 60
x = 60 minutes (time to fill the tub together)
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Cheers,
Stan H.
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Permutations/503600: A baseball manager has 10 players of the same ability. How many 9-player starting lineups can he create?
1 solutions
Answer 339310 by stanbon(57282) on 2011-09-24 17:25:00 (Show Source):
You can put this solution on YOUR website!A baseball manager has 10 players of the same ability. How many 9-player starting lineups can he create?
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Ans: 10C9 = 10C1 = 10 starting lineups
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Cheers,
stan H.
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Human-and-algebraic-language/503590: Find three consecutive even integers such that the sum of the smallest and the largest is 36.
1 solutions
Answer 339298 by stanbon(57282) on 2011-09-24 16:47:36 (Show Source):
You can put this solution on YOUR website!Find three consecutive even integers such that the sum of the smallest and the largest is 36.
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1st: 2x-2
2nd: 2x
3rd: 2x+2
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Equation:
2x-2 + 2x+2 = 36
4x = 36
x = 9
---
1st: 2x-2 = 18-2 = 16
2nd: 18
3rd: 20
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Cheers,
Stan H.
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Permutations/503586: Suppose that in a fund raising lottery, contestants are asked to choose five letters without repeating any letters in their choices. Suppose that a ticket costs $1.00. How much would someone have to spend to ensure that she purchased a winning ticket?
1 solutions
Answer 339296 by stanbon(57282) on 2011-09-24 16:44:28 (Show Source):
You can put this solution on YOUR website!Suppose that in a fund raising lottery, contestants are asked to choose five letters without repeating any letters in their choices. Suppose that a ticket costs $1.00. How much would someone have to spend to ensure that she purchased a winning ticket?
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# of unique sets of 5 letters = 26C5 = 65780
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To assure having the winning ticket: $65780
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Cheers,
Stan H.
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Permutations/503585: Our class has 25 students. fifteen of the students are women. if a class picture is to be taking in which all the women will stand together and all of the men will stand together, how many different possible arrangements of the students are there?
1 solutions
Answer 339294 by stanbon(57282) on 2011-09-24 16:38:36 (Show Source):
You can put this solution on YOUR website!Our class has 25 students. fifteen of the students are women. if a class picture is to be taking in which all the women will stand together and all of the men will stand together, how many different possible arrangements of the students are there?
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Arrange the two groups: 2 ways
Arrange the women: 15! ways
Arrange the men: 10! ways
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Total arrangements: 2*15!*10! = 9.4906x10^18
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Cheers,
Stan H.
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Probability-and-statistics/503552: The null hypothesis states that rho in the population is greater than zero. Since the words “greater than“ predict a direction, the test of significance is one-tailed. A) True B) False
1 solutions
Answer 339288 by stanbon(57282) on 2011-09-24 15:39:00 (Show Source):
You can put this solution on YOUR website!The null hypothesis states that rho in the population is greater than zero. Since the words “greater than“ predict a direction, the test of significance is one-tailed. A) True B) False
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False. It's the absolute value of r that is
compared to the proper table value.
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Cheers,
Stan H.
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Numbers_Word_Problems/503558: if the sum of a number and 9 is doubled the result is 5 less than a number what is the number
1 solutions
Answer 339287 by stanbon(57282) on 2011-09-24 15:31:19 (Show Source):
You can put this solution on YOUR website!if the sum of a number and 9 is doubled the result
is 5 less than a number what is the number
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Let the number be "x".
Equation:
2(x+9) = x-5
2x+18 = x-5
x = -23
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Cheers,
Stan H.
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Linear_Equations_And_Systems_Word_Problems/503548: Greetings.
Anthony Vandorpe here
I am working on a math word problem in the category of systems of linear equations.
Here is the general form of the question they gave me:
there are 2 runners, if they run towards each other, the time elapsed is 12 mins, and the distance is 2 miles presumably they meet at some point in that 2 mile distance).
If they start running in the same (at the same starting point?) direction, the faster runner will overtake the slower runner in 2 hours.
This may seem like a simple one to solve, in addition, once I get the 2 linear equations placed in standard form, I am to solve for the variables, and find I think, the running rate of the faster runner and the running rate of the slower runner. I just don't know how to set up this one. I would appreciate your help. Best regards, Anthony C. Vandorpe
1 solutions
Answer 339285 by stanbon(57282) on 2011-09-24 15:23:39 (Show Source):
You can put this solution on YOUR website!there are 2 runners, if they run towards each other, the time elapsed is 12 mins, and the distance is 2 miles presumably they meet at some point in that 2 mile distance).
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1st runner data:
distance = x miles ; time = 1/6 hr ; rate = distance/time = 6x mph
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2nd runner data:
distance = 2-x miles ; time = 1/6 hr; rate = distance/time = 12-6x mph
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If they start running in the same (at the same starting point?) direction, the faster runner will overtake the slower runner in 2 hours.
1st runner data:
rate = 6x mph ; time = 2 hrs ; distance = rt = 12x miles
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2nd runner data:
rate = 12-6x mph ; time = 2 hrs ; distance = rt = 24-12x miles
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Solve for "x":
distance = distance
12x = 24-12x
24x = 24
x = 1 mile
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You didn't say what the question was but
with the value of "x" you can figure out
the time and rate for each of the runners.
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Cheers,
Stan H.
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Polygons/503523: Can you please help me with this question. Find the number of sides of a regular polygon each of whose interior angles contains 120 degrees. Thank You!
1 solutions
Answer 339273 by stanbon(57282) on 2011-09-24 14:24:33 (Show Source):
You can put this solution on YOUR website!Find the number of sides of a regular polygon each of whose interior angles contains 120 degrees.
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Each exterior angle is 180-120 = 60 degrees
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# of exterior angles = 360/60 = 6
---
# of sides = # of exterior angles = 6
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Cheers,
Stan H.
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Equations/503517: 1) 1/2q-5>3Q
This is what i have so far and am stuck.
1q-5>3q
2) 13x-5=x+1
3)Not sure if the answer is right. But I did tried
3/4q+11=4q+37
3q+44=16q+148
16q+148=3q+44
148 +60
16q = 3q+60
-3 -3
13 = 60
Divdie both sides by 13 answer is -4
4) 2/3y-7=5y+19
3y-21=15y+57
15y+57=3y-21
57 +57
15y = 3y-36
-3 -3
12y = 36
divide by 12 on both sides Answer 3
5)5z-3>3z+1
1 solutions
Answer 339272 by stanbon(57282) on 2011-09-24 14:19:05 (Show Source):
You can put this solution on YOUR website!1) (1/2)q-5>3q
Multiply both sides by 2 to get:
q - 10 > 6q
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5q< -10
---
q < -2
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2) 13x-5=x+1
12x = 6
x = 1/2
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(3/4)q+11 = 4q+37
Multiply thru by 4 to get:
3q + 44 = 16q + 148
13q = -104
q = -8
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4) (2/3)y-7=5y+19
Multiply thru by 3 to get:
2y - 14 = 10y + 38
8y = -52
y = -13/2
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5)5z-3>3z+1
2z > 4
z > 2
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Cheers,
Stan H.
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