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stanbon answered: 57904 problems
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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239 , 57240..57269 , 57270..57299 , 57300..57329 , 57330..57359 , 57360..57389 , 57390..57419 , 57420..57449 , 57450..57479 , 57480..57509 , 57510..57539 , 57540..57569 , 57570..57599 , 57600..57629 , 57630..57659 , 57660..57689 , 57690..57719 , 57720..57749 , 57750..57779 , 57780..57809 , 57810..57839 , 57840..57869 , 57870..57899 , 57900..57929, >>NextProbability-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(57977)   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
----
False. It's the absolute value of r that is
compared to the proper table value.
-----------
Cheers,
Stan H.
===========
|
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(57977) 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
---
Let the number be "x".
Equation:
2(x+9) = x-5
2x+18 = x-5
x = -23
----------------
Cheers,
Stan H.
==================
|
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(57977) 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).
----
1st runner data:
distance = x miles ; time = 1/6 hr ; rate = distance/time = 6x mph
---
2nd runner data:
distance = 2-x miles ; time = 1/6 hr; rate = distance/time = 12-6x mph
-------------------------------------
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
---
2nd runner data:
rate = 12-6x mph ; time = 2 hrs ; distance = rt = 24-12x miles
----------------
Solve for "x":
distance = distance
12x = 24-12x
24x = 24
x = 1 mile
--------------------
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.
==============================================
Cheers,
Stan H.
|
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(57977) 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.
----
Each exterior angle is 180-120 = 60 degrees
---
# of exterior angles = 360/60 = 6
---
# of sides = # of exterior angles = 6
===========================================
Cheers,
Stan H.
===============
|
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(57977) 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
---
5q< -10
---
q < -2
===================
2) 13x-5=x+1
12x = 6
x = 1/2
===================
(3/4)q+11 = 4q+37
Multiply thru by 4 to get:
3q + 44 = 16q + 148
13q = -104
q = -8
-------------------------
4) (2/3)y-7=5y+19
Multiply thru by 3 to get:
2y - 14 = 10y + 38
8y = -52
y = -13/2
---------------------------
5)5z-3>3z+1
2z > 4
z > 2
--------------
Cheers,
Stan H.
|
Polygons/503513: Can you please help me with this question. The measure of each interior angle of a regular polygon is three times the measure of each exterior angle. How many sides does the polygon have? Thank you!
1 solutions
Answer 339269 by stanbon(57977) on 2011-09-24 14:06:26 (Show Source):
You can put this solution on YOUR website!Can you please help me with this question. The measure of each interior angle of a regular polygon is three times the measure of each exterior angle. How many sides does the polygon have?
---
Each exterior/interior pair are supplementary.
Let the exterior angle be "x".
---
x + 3x = 180
4x = 180
x = 45 degrees
----
The sum of all the exterior angles is 360 degrees.
---
# of exterior degrees = 360/45 = 8
---
# of sides = # of extgerior angles = 8
=================================================
Cheers,
stan H.
|
Linear-equations/503510: Find the following:
A)Find equation of the line in slope intercept form
B) Standard form
Through the line (-4,2) and parallel to the line through (3,9) and (6,11)
First I plugged points into slope formula
11-9 = 2
6-3 = 3
m = 3/2
Next, I plug in m = slope into the slope intercept formula
y=mx+b
9=3/2 (3)+ b
This is where I seem to have problems from here on. Thank you
1 solutions
Answer 339267 by stanbon(57977) on 2011-09-24 13:59:43 (Show Source):
You can put this solution on YOUR website!Through the line (-4,2) and parallel to the line through (3,9) and (6,11)
First I plugged points into slope formula
change in y: 11-9 = 2
change in x: 6-3 = 3
m = 2/3
Next, I plug in m = slope into the slope intercept formula
y=mx+b
9=(2/3)(3)+ b
9 = 2 + b
b = 7
----
Equation:
y = (2/3)x + 7
===================
Cheers,
Stan H.
|
decimal-numbers/503505: e.g. 0.1111... = 1/9
So then how would I convert 0.0238095238095238095... (238095 is a recurring decimal)to a fraction?
Thank you!
1 solutions
Answer 339266 by stanbon(57977) on 2011-09-24 13:53:19 (Show Source):
You can put this solution on YOUR website!convert 0.0238095238095238095... (238095 is a recurring decimal)to a fraction?
----
Let x = 0.0238095238095238095...
Then 10x = 0.238095238095...
And 10^7x = 238095.238095238095
------------------------------
Subtract the 2nd line from the 3rd to get:
(10^7-10)x = 238095
---
x = 238095/[10000000-10] = 238095/9,999,990
=============================================
Cheers,
Stan H.
|
Trigonometry-basics/503244: (x,4x),x>0 find cos sin tan sec csc cot
1 solutions
Answer 339159 by stanbon(57977) on 2011-09-23 19:54:35 (Show Source):
You can put this solution on YOUR website!(x,4x),x>0 find cos sin tan sec csc cot
------
tan = 4x/x = 4/1
---
r = sqrt[4^2+1^2] = sqrt(15)
----
sin = 1/sqrt(15)
cos = 4/sqrt(15)
tan = 4/1
----
csc = sqrt(15)
sec = sqrt(15)/4
cot = 1/4
-------------------
Cheers,
Stan H.
==============
|
Probability-and-statistics/503180: A particular brand of women’s jeans is available in
seven different sizes, three different colors, and three different styles. How many different jeans does the store manager
need to order to have one pair of each type?
1 solutions
Answer 339158 by stanbon(57977) on 2011-09-23 19:26:59 (Show Source):
You can put this solution on YOUR website!A particular brand of women’s jeans is available in
seven different sizes, three different colors, and three different styles. How many different jeans does the store manager
need to order to have one pair of each type?
----
Order 7 sizes
Order 3 colors
The next order assures having one pair of each type:
Ans: 7+3+1 = 11 pairs
===========================
Cheers,
Stan H.
|
Age_Word_Problems/503238: At the dog park their are several dogs with their owners. Counting heads, there are 12, counting legs, there are 38. How many dogs and owners are there?
1 solutions
Answer 339157 by stanbon(57977) on 2011-09-23 19:09:28 (Show Source):
You can put this solution on YOUR website!At the dog park their are several dogs with their owners. Counting heads, there are 12, counting legs, there are 38. How many dogs and owners are there?
----------------
Equations:
d + w = 12
4d+2w = 38
----
Multiply thru 1st equation by 2:
2d + 2w = 24
4d + 2w = 38
---------------
Subtract and solve for "d":
2d = 14
d = 7 (# of dogs)
----
Solve for "w":
d + w = 12
7 + w = 12
w = 5 (# of owners)
=========================
Cheers,
Stan H.
=================
|
Functions/503229: Find f (a), f (a + h), and the difference quotient for the function given below, where h does not equal 0.
f (x) = 5x2 + 9
1 solutions
Answer 339154 by stanbon(57977) on 2011-09-23 19:04:22 (Show Source):
You can put this solution on YOUR website!f(x) = 5x^2 + 9
------------------
f(a+h) = 5(a+h)^2+9
= 5[a^2+2ha+h^2]+9
= 5a^2+10ha+5h^2+9
-------------------------
f(a) = 5a^2+9
------
[f(a+h)-f(a)] = 10ha+5h^2
---------------
[f(a+h)-f(a)]/h = 10a+5h
===========================
Cheers,
Stan H.
|
Age_Word_Problems/503239: Mary receives $87.00 for working one eight our day. One day she had to stop after working five hours because of a doctor's appointment. How much did she make that day?
1 solutions
Answer 339153 by stanbon(57977) on 2011-09-23 18:59:28 (Show Source):
You can put this solution on YOUR website!Mary receives $87.00 for working one eight hour day. One day she had to stop after working five hours because of a doctor's appointment. How much did she make that day?
----------------
Using a proportion:
x/5 = 87/8
-----------
Cross-multiply to get:
x = 5(87/8)
---
x = 435/8
----
x = $54.38
=================================
Cheers,
Stan H.
|
Mixture_Word_Problems/503240: A car radiator contains 10quarts of a 30% anitfreeze solution. How many quarts will have to be replaced with pure antifreeze if the resulting solution is to be 50% antifreeze
1 solutions
Answer 339152 by stanbon(57977) on 2011-09-23 18:54:43 (Show Source):
You can put this solution on YOUR website!A car radiator contains 10 quarts of a 30% anitfreeze solution. How many quarts will have to be replaced with pure antifreeze if the resulting solution is to be 50% antifreeze
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Equation:
alcohol - alcohol + alcohol = alcohol
0.30*10 - 0.30x + 1.00x = 0.50*10
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Multiply thru by 100 to get:
30*10 - 30x + 100x = 50*10
70x = 20*10
x = (1/7)20
x = (20/7) quarts (amt. of 10% solution to replace by 100% antifreeze)
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Cheers,
Stan H.
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Linear-equations/503237: Leon's camper has a 20-gallon fuel tank and gets 12 miles per gallon of fuel. Let g be the amount of gasoline left in the tank after driving m miles. Write an equation that expresses the amount of gas, g, in Leon's fuel tank in terms of the number of miles, m, he has driven. Need help with checking equation. g=20+12m?
1 solutions
Answer 339150 by stanbon(57977) on 2011-09-23 18:49:39 (Show Source):
You can put this solution on YOUR website!Leon's camper has a 20-gallon fuel tank and gets 12 miles per gallon of fuel. Let g be the amount of gasoline left in the tank after driving m miles. Write an equation that expresses the amount of gas, g, in Leon's fuel tank in terms of the number of miles, m, he has driven.
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Gallons of gas used in m miles = m/12
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Gallons remaining after driving m miles:::: g(m) = 20-(m/12)
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Cheers,
Stan H.
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Linear-equations/502886: I have 2 questions and if someone could help i would really appreciate it!!
1) 1/7(2x-5)=3/8x-5/7
2) 5/6(x-2)=x-3
If it helps i am a college student using the textbook "Elementary Algebra For College Students" (8th edition) and i am learning about Solving Linear Equations and Inequalities i believe.
Thank you so much!!
1 solutions
Answer 338981 by stanbon(57977) on 2011-09-22 21:37:12 (Show Source):
You can put this solution on YOUR website!1) (1/7)(2x-5)=(3/8)x-(5/7)
Multiply both sides by 56 to get:
8(2x-5) = 7*3 - 8*5
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16x-40 = 21-40
16x = 21
x = 21/16
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2) (5/6)(x-2)=x-3
Multiply both sides by 6 to get:
5(x-2) = 6x-18
5x-10 = 6x-18
x = 8
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Cheers,
Stan H.
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Word_Problems_With_Coins/502864: Bryce has a handful of pennies and nickels. He has 4 times as many pennies as he has nickels. If he has a total of 72 cents how many pennies does he have?
1 solutions
Answer 338978 by stanbon(57977) on 2011-09-22 21:28:16 (Show Source):
You can put this solution on YOUR website!Bryce has a handful of pennies and nickels. He has 4 times as many pennies as he has nickels. If he has a total of 72 cents how many pennies does he have?
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Equations:
Value Eq: p + 5n = 72
Quantity Eq: p = 4n
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Substitute and solve for "n":
4n + 5n = 72
9n = 72
n = 8 (number of nickels)
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Solve for "p":
p = 4n
p = 32 (number of pennies)
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Cheers,
Stan H.
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Percentage-and-ratio-word-problems/502860: A cake calls for 2 1/2 cups of sugar. The icing calls for 3 3/4 cups of sugar. How much total sugar will you need to make this cake and icing?
1 solutions
Answer 338972 by stanbon(57977) on 2011-09-22 21:13:54 (Show Source):
You can put this solution on YOUR website!A cake calls for 2 1/2 cups of sugar. The icing calls for 3 3/4 cups of sugar. How much total sugar will you need to make this cake and icing?
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Ans: 2 1/2 + 3 3/4
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= 5/2 + 15/4
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= 10/4 + 15/4
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= 25/4
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Cheers,
Stan H.
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Linear-equations/502857: Perpendicular to y=-1/2x+3, passing through the point (3,-4)
1 solutions
Answer 338967 by stanbon(57977) on 2011-09-22 21:09:33 (Show Source):
You can put this solution on YOUR website!Perpendicular to y=-1/2x+3, passing through the point (3,-4)
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That line has a slope of -1/2
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Any perpendicular line must have slope = 2
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Find equation of line with m = 2 and y = -4 when x = 3
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Form: y = mx + b
Solve for "b":
-4 = 2*3 + b
b = -10
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Equation:
y = 2x -10
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Cheers,
Stan H.
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Probability-and-statistics/502679: the key to a cd software is a 25 character alphanumeric code. each character can be a capital letter or single digit number.
what is the probability of guessing the correct code on the first try?
1 solutions
Answer 338961 by stanbon(57977) on 2011-09-22 20:58:23 (Show Source):
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Probability-and-statistics/502556: determine whether the given value is a statistics or parametre
A sample of Americans is selected and the average (mean) amount of time watching television is 4.6 hours per day
1 solutions
Answer 338956 by stanbon(57977) on 2011-09-22 20:47:54 (Show Source):
You can put this solution on YOUR website!determine whether the given value is a statistics or parametre
A sample of Americans is selected and the average (mean) amount of time watching television is 4.6 hours per day
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That mean is a sample data item, so it is a statistic.
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Cheers,
Stan H.
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Probability-and-statistics/502104: A group of 24 AP students measured the length of time it took for a chocolate chip to melt in their mouth in seconds. They melted a total of 80 chips. The ive number summary in seconds for this set turned out to be as follows:
12, 29, 35, 38, 41
Approximately how many chips had melted time between 12 - 29 seconds?
1 solutions
Answer 338837 by stanbon(57977) on 2011-09-22 08:38:24 (Show Source):
You can put this solution on YOUR website!A group of 24 AP students measured the length of time it took for a chocolate chip to melt in their mouth in seconds. They melted a total of 80 chips. The ive number summary in seconds for this set turned out to be as follows:
12, 29, 35, 38, 41
Approximately how many chips had melted time between 12 - 29 seconds?
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12 is the minimum number
29 is the 1st Quartile which has 25% of the data below it
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Ans: 25% of 80 = 20 chips melted between 12 and 29 seconds
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Cheers,
Stan H.
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Probability-and-statistics/502298: You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that both cards are black.
1 solutions
Answer 338834 by stanbon(57977) on 2011-09-22 08:33:43 (Show Source):
You can put this solution on YOUR website!You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that both cards are black.
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P(black and black) = P(black)*P(black|black) = (26/52)(25/51)
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Cheers,
Stan H.
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Numbers_Word_Problems/502225: The sum of the digits in a 2 digit number is 13. The tens are greater than the ones so what is the digit number
1 solutions
Answer 338801 by stanbon(57977) on 2011-09-21 22:28:45 (Show Source):
You can put this solution on YOUR website!The sum of the digits in a 2 digit number is 13. The tens are greater than the ones so what is the digit number
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Equations:
Let the number be 10t+u where t is the ten's digit and u is the unit's dig.
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t + u = 13
t - u > 0
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2t > 13
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t 7 pr 8 pr 9
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If t = 7 then 10t+u = 76
If t = 8 then 10t+u = 85
If t = 9 then 10t+u = 94
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Cheers,
Stan H.
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Functions/498579: How do I find the difference quotient of the function. ( the formula for the difference quotient is f(x+h)-f(x)/h.
1 solutions
Answer 337072 by stanbon(57977) on 2011-09-15 20:10:34 (Show Source):
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Probability-and-statistics/498517: there's 10 girls and 6 boys in a class. the teacher draws one students name and then anothe. what is the probability that the first name will be a boy and the second will be a girl?
1 solutions
Answer 337069 by stanbon(57977) on 2011-09-15 20:07:21 (Show Source):
You can put this solution on YOUR website!there's 10 girls and 6 boys in a class. the teacher draws one students name and then another. what is the probability that the first name will be a boy and the second will be a girl?
Ans: (6/16)(10/15) = 1/4
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Cheers,
Stan H.
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