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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, >>NextProbability-and-statistics/492507: joanne has a roll of ribbon 6 feet long. She needs pieces that are 3/4 feet long . If she cuts the whole, how many pieces can she made ?
1 solutions
Answer 335082 by stanbon(57203)   on 2011-09-06 21:02:56 (Show Source):
You can put this solution on YOUR website!joanne has a roll of ribbon 6 feet long. She needs pieces that are 3/4 feet long . If she cuts the whole, how many pieces can she made ?
---
Ans = 6/(3/4) = 6*(4/3) = 2*4 = 8 pieces
=============
Cheers,
Stan H.
|
Probability-and-statistics/492456: I am struggling with this problem...I am getting a headache because I have been working on it forever now...PLEASE HELP AND THANK YOU VERY MUCH
Consider a normal population with µ = 25 and σ = 8.0.SHOW ALL WORK
(A)Calculate the standard score for a value x of 22.
(B)Calculate the standard score for a randomly selected sample of 30 with = 22.
(C)Explain why the standard scores of 22 are different between A and B above.
1 solutions
Answer 335079 by stanbon(57203) on 2011-09-06 20:58:10 (Show Source):
You can put this solution on YOUR website!Consider a normal population with µ = 25 and σ = 8.0.SHOW ALL WORK
(A)Calculate the standard score for a value x of 22.
z(22) = (22-25)/8 = -3/8
--------------------------------
(B)Calculate the standard score for a randomly selected sample of 30
with xbar = 22
t(22) = (22-25)/[8/sqrt(30)] = -3/1.4606 = -2.0540
-------------------------------
(C)Explain why the standard scores of 22 are different between A and B above.
A based on z-distribution ; B based on t-distribution
A has std = 8 ; B has std = 8/sqrt(30)
----
Note: These differences relate to the Central Limit Theorem
It's also possible that your text would call for the following
for "B": z(22) = (22-25)/[8/sqrt(30)] = -2.0540
===================================================
Cheers,
Stan H.
|
Geometry_Word_Problems/492511: A triangle has a perimeter of 30m. The length of the 2nd side is 5m more than the length of the 1st side. The third side is 3 meters less than twice the 1st side. How long is each side?
These always give me trouble!
My solution came out with two negative answers so I know they cannot be right. How would I set up the equation?
Here is what I have:
P=30m
2nd side=P+5m
3rd side=30m(2)-3m
30m=P+5m+30m(2)-3m
30m=P+5m+60m-3m
30m=P+62m
30m-62m=P+62m-62m
-32m=P
HELP PLEASE!!
1 solutions
Answer 335074 by stanbon(57203) on 2011-09-06 20:46:20 (Show Source):
You can put this solution on YOUR website!A triangle has a perimeter of 30m.
The length of the 2nd side is 5m more than the length of the 1st side.
The third side is 3 meters less than twice the 1st side.
How long is each side?
---
Let 1st side be "x"
Then 2nd side is "x+5"
And 3rd side is "2x-3"
----------------------------
Equation:
x + x+5 + 2x-3 = 30
4x + 2 = 30
4x = 28
------------------
x = 7m (1st side)
x+5 = 12m (2nd side)
2x-3 = 11m (3rd side)
==========================
Cheers,
Stan H.
=============
|
Linear-equations/492504: what are the steps to solving a problem like this: (x+5)/(x+1)+(5)/(x-2)
1 solutions
Answer 335067 by stanbon(57203) on 2011-09-06 20:40:15 (Show Source):
You can put this solution on YOUR website!what are the steps to solving a problem like this:
(x+5)/(x+1)+(5)/(x-2)
----------------------
Least common denominator: (x+1)(x-2)
---
Rewrite each fraction with the lcd as its denominator:
= [(x+5)(x-2)/lcd] + [5(x+1)/lcd]
----
Combine the numerators over the lcd:
= [x^2+3x-10 +5x+5]/lcd
---
= [x^2+8x-5]/[(x+1)(x-2)]
====================================
Cheers,
Stan H.
=============
|
Linear-equations/492428: y=-4-4x
I need to find the Y intercept and then I need to find the X intercept. I am not nowing how to work the problem out the right way.
1 solutions
Answer 335036 by stanbon(57203) on 2011-09-06 19:35:25 (Show Source):
You can put this solution on YOUR website!y=-4-4x
I need to find the Y intercept and then I need to find the X intercept. I am not knowing how to work the problem out the right way.
---------------
To find the y-intercept, let x = 0; then solve for "y":
y = -4-4x
Let x = 0
y = -4-4*0
y = -4-0
y = -4
The y-intercept is the point (0,-4)
==============================
To find the x-intercept, let y = 0; then solve for "x":
y = -4-4x
Let y = 0
-4-4x = 0
Add 4x to both sides to get:
-4 = 4x
Divide both sides by 4 to get:
x = -1
---
The x-intercept is the point (-1,0)
====================================
Cheers,
Stan H.
===============
|
Linear-equations/492421: Find an equation for the line through the point (7−9) with x intercept 3.
1 solutions
Answer 335030 by stanbon(57203) on 2011-09-06 19:24:39 (Show Source):
You can put this solution on YOUR website! Find an equation for the line through the point (7−9) with x intercept 3.
------
x-intercept: (3,0)
point: (7,-9)
---
slope = (-9-0)/(7-3) = -9/4
----
Form: y = mx + b
Solve for "b":
0 = (-9/4)3 + b
b = 27/4
-----
Equation:
y = (-9/4)x + 27/4
===============================
Cheers,
Stan H.
======================
|
Exponents/492415: Hi, I need to solve 16y(to 12th power)/8y(to the 4th power). My answer was 2y(to the 3rd power) but it was wrong. Can you help me solve this step by step? Thank you.
1 solutions
Answer 335026 by stanbon(57203) on 2011-09-06 19:14:52 (Show Source):
You can put this solution on YOUR website!solve 16y(to 12th power)/8y(to the 4th power).
------------------
[16y^12] / [8y^4]
----
= 2y^8
================================
Cheers,
Stan H.
|
Distributive-associative-commutative-properties/492399: My problen says : Find each missing number. So here is the problem 8x(30+2)= (8x___)+ (8x2)and I dont get it can you please help me???Im only in the 6th grade. Thanks
1 solutions
Answer 335022 by stanbon(57203) on 2011-09-06 19:11:58 (Show Source):
You can put this solution on YOUR website!Find each missing number. So here is the problem
8x(30+2)= (8x___)+ (8x2)
----
Using the distributive law you would get:
8x(30+2) = (8x*30) + (8x*2)
----
The missing number is 30
==============================
Cheers,
Stan H.
|
Equations/492397: Please graph y= 2/3 x -1
label the x and y axes and draw a line
1 solutions
Answer 335018 by stanbon(57203) on 2011-09-06 18:58:40 (Show Source):
You can put this solution on YOUR website!Please graph y= (2/3)x -1
label the x and y axes and draw a line
----
Let x = 0, y = -1 giving you point (0,-1)
----
Let x = 3, y = 1 giviing you point (3,1)
---
Plot the two points and draw a line thru them.
==================
Cheers,
Stan H.
---------------
|
test/492387: -2x-18=4x
It's been a while since high school, I used to know how to do this simple equation but the years got to me now.
1 solutions
Answer 335015 by stanbon(57203) on 2011-09-06 18:46:55 (Show Source):
You can put this solution on YOUR website!-2x-18=4x
---
Add 2x to both sides of the equation:
---
-18 = 6x
---
Divive each side by 6
x = -3
==============================================
Cheers,
Stan H.
|
Inequalities/492374: (2X-3)/(X+1) less than or equal to 1
1 solutions
Answer 335014 by stanbon(57203) on 2011-09-06 18:43:33 (Show Source):
You can put this solution on YOUR website!(2X-3)/(X+1) <= 1
----------------------
Draw a number line and plot x = -1 and x = 3/2
------------------------------------
For x < -1, x+1 < 0
Then (2x-3) >= x+1
x >= 4
But x cannot be <-1 and also >= 4
----
For x > -1
2x-3 <= x+1
x <= 4
---
Final Solution: -1 < x <= 4
======================================
Cheers,
Stan H.
|
Equations/492368: the area of triangle with base, b and height h, is given by:
A =1/2bh
if the area of a certain triangle is 38 square centimeters and the base is 8 centimeters, what is the height? please show all of your work.
1 solutions
Answer 335008 by stanbon(57203) on 2011-09-06 18:27:30 (Show Source):
You can put this solution on YOUR website!A =1/2bh
if the area of a certain triangle is 38 square centimeters and the base is 8 centimeters, what is the height?
------
38 = (1/2)*8*h
---
76 = 8h
---
h = 76/8
===
height = 9.5 cm
======================
Cheers,
Stan H.
======================
|
Miscellaneous_Word_Problems/492068: The sign flashed over 480 times in a 1 half hrs. How far apart did the flashes occur?
1 solutions
Answer 334924 by stanbon(57203) on 2011-09-06 13:05:48 (Show Source):
You can put this solution on YOUR website!The sign flashed over 480 times in 1/2 hrs. How far apart did the flashes occur?
---
# of flashes per minute = 480 flashes/30 min = 16 flashes per min
---
Interval between flashes = 60 sec/16 flashes = 3.75 sec
==================================
Cheers,
Stan H.
===========
|
Rational-functions/492059: Write the x intercept as ordered pair and the vertical asymptotes as equations of vertical lines g(x)=(18-3x)/(x^2-3x-10)
1 solutions
Answer 334923 by stanbon(57203) on 2011-09-06 13:01:21 (Show Source):
You can put this solution on YOUR website!Write the x intercept as ordered pair and the vertical asymptotes as equations of vertical lines g(x)=(18-3x)/(x^2-3x-10)
--------------------
g(x) = [3(6-x)] / [(x-5)(x+2)]
-----
x-int: Let y = 0 ; then x = 6
----
VAs: x = 5 and x = -2
----
Cheers,
Stan H.
|
Volume/492076: Find the surface area of a box with dimensions 5 inches, 8 inches, and 6 inches.
1 solutions
Answer 334922 by stanbon(57203) on 2011-09-06 12:57:37 (Show Source):
You can put this solution on YOUR website!Find the surface area of a box with dimensions 5 inches, 8 inches, and 6 inches.
-------------
SA = 2[5*8 + 5*6 + 8*6]
----
SA = 2[40 + 30 + 48]
----
SA = 2[118]
-----
SA = 236 sq. inches
=======================
Cheers,
Stan H.
=========
|
Linear-equations/492073: what are the slope and y-intercept of this equation f(x)=5x-2
1 solutions
Answer 334915 by stanbon(57203) on 2011-09-06 12:46:08 (Show Source):
You can put this solution on YOUR website!what are the slope and y-intercept of this equation f(x)=5x-2
---
The slope is how much y changes when x changes by one.
slope = 5
y-intercept is the value of y when x = 0; y-int = -2
==============
Cheers,
Stan H.
==============
|
Probability-and-statistics/491949: A new-born child can be given 1 or 2 names. In how many ways can a child be named if we can choose from 100 names?
1 solutions
Answer 334872 by stanbon(57203) on 2011-09-06 08:47:07 (Show Source):
You can put this solution on YOUR website!A new-born child can be given 1 or 2 names. In how many ways can a child be named if we can choose from 100 names?
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100C1 + 100C2 = 100 + (100*99)/(1*2) = 100 + 50*99
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Cheers,
Stan H.
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Probability-and-statistics/491951: There are 12 points P1, P2, ..., P12 in the plane, no three of them on the same line.
(a) How many triangles can be formed?
(b) How many of the triangles contain the point P1 as a vertex?
1 solutions
Answer 334871 by stanbon(57203) on 2011-09-06 08:43:49 (Show Source):
You can put this solution on YOUR website!There are 12 points P1, P2, ..., P12 in the plane, no three of them on the same line.
(a) How many triangles can be formed?
A triangle is determined by 3 non-collinear points.
Ans: 12C3 = (12*11*10)/(1*2*3) = 220 triangles
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(b) How many of the triangles contain the point P1 as a vertex?
One way to pick P1
11C2 ways to pick the other two vertices
Ans: 1*(11*10)/(1*2) = 55 triangles with P1 as a vertex
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Cheers,
Stan H.
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Probability-and-statistics/491952: How many diagonals are there in a regular polygon of n sides?
1 solutions
Answer 334870 by stanbon(57203) on 2011-09-06 08:40:49 (Show Source):
You can put this solution on YOUR website!How many diagonals are there in a regular polygon of n sides?
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There are n vertices
# of line segments determined is nC2 = (n/2)(n-1)
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n of those line segments are sides of the polygon
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Ans: There are (n/2)(n-1) - n diagonals
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Cheers,
Stan H.
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Probability-and-statistics/491986: A person is wearing a bracelet with 11 settings around the bracelet. How many different ways can 12 birthstones be arranged around the bracelet
1 solutions
Answer 334869 by stanbon(57203) on 2011-09-06 08:37:54 (Show Source):
You can put this solution on YOUR website!A person is wearing a bracelet with 11 settings around the bracelet. How many different ways can 12 birthstones be arranged around the bracelet
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On a shelf the answer would be 12!
But on a circle the answer is 11!
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Cheers,
Stan H.
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Volume/491985: what is the volume in the ocean if you have a surface area of 1.4 x 10^8 km^2 and a depth of 3900m?
1 solutions
Answer 334867 by stanbon(57203) on 2011-09-06 08:35:36 (Show Source):
You can put this solution on YOUR website!what is the volume in the ocean if you have a surface area of 1.4 x 10^8 km^2 and a depth of 3900m
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3900m = 3.9 km
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Volume = 1.4x10^8*3.9 = 5.46x10^8 km^3
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Cheers,
Stan H.
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Age_Word_Problems/491978: Robie is 10 years older than Micah. In three years, the product of her age and Micah's age five years ago will be 80 years. Find their present ages.
1 solutions
Answer 334865 by stanbon(57203) on 2011-09-06 08:30:41 (Show Source):
You can put this solution on YOUR website!Robie is 10 years older than Micah. In three years, the product of her age and Micah's age five years ago will be 80 years. Find their present ages.
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Equations:
r = m + 10
(r+3)(m-5) = 80
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substitute for "r" and solve for "m":
(m+10+3)(m-5) = 80
(m+13)(m-5) = 80
Solve for m; then for r.
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Cheers,
Stan H.
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Money_Word_Problems/491883: a bank account earns interest compounded continuously at a rate of 6% per year. how long would it take for the account to triple in value?
1 solutions
Answer 334792 by stanbon(57203) on 2011-09-05 22:42:14 (Show Source):
You can put this solution on YOUR website!a bank account earns interest compounded continuously at a rate of 6% per year. how long would it take for the account to triple in value?
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A(t) = Ao*e^rt
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Solve e^rt = 3
e^(0.06t) = 3
0.06t = ln(3)
t = 18.31 years
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Cheers,
Stan H.
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