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Recent problems solved by 'stanbon'
stanbon answered: 57274 problems
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53010..53039 , 53040..53069 , 53070..53099 , 53100..53129 , 53130..53159 , 53160..53189 , 53190..53219 , 53220..53249 , 53250..53279 , 53280..53309 , 53310..53339 , 53340..53369 , 53370..53399 , 53400..53429 , 53430..53459 , 53460..53489 , 53490..53519 , 53520..53549 , 53550..53579 , 53580..53609 , 53610..53639 , 53640..53669 , 53670..53699 , 53700..53729 , 53730..53759 , 53760..53789 , 53790..53819 , 53820..53849 , 53850..53879 , 53880..53909 , 53910..53939 , 53940..53969 , 53970..53999 , 54000..54029 , 54030..54059 , 54060..54089 , 54090..54119 , 54120..54149 , 54150..54179 , 54180..54209 , 54210..54239 , 54240..54269 , 54270..54299 , 54300..54329 , 54330..54359 , 54360..54389 , 54390..54419 , 54420..54449 , 54450..54479 , 54480..54509 , 54510..54539 , 54540..54569 , 54570..54599 , 54600..54629 , 54630..54659 , 54660..54689 , 54690..54719 , 54720..54749 , 54750..54779 , 54780..54809 , 54810..54839 , 54840..54869 , 54870..54899 , 54900..54929 , 54930..54959 , 54960..54989 , 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 , 57180..57209 , 57210..57239 , 57240..57269 , 57270..57299, >>NextGeometry_Word_Problems/83517: How long is a rectangular plot whose length is 9 feet greater than its width and whose perimeter is 94 feet?
1 solutions
Answer 60044 by stanbon(57347)   on 2007-05-26 23:08:27 (Show Source):
You can put this solution on YOUR website!How long is a rectangular plot whose length is 9 feet greater than its width and whose perimeter is 94 feet?
---------------------
Let width be "x" ft.
Then length is "x+9" ft
---------------
Perimeter = 2(width + length)
94 = 2(x + x+9)
47 = 2x+9
2x = 38
x=19
Length = 19=9 = 28 inches
======================
Cheers,
Stan H.
|
Geometry_Word_Problems/83518: Find the altitude of a triangle whose area is 8in.^2 and whose base is twice the altitude.
1 solutions
Answer 60043 by stanbon(57347) on 2007-05-26 22:57:52 (Show Source):
You can put this solution on YOUR website!Find the altitude of a triangle whose area is 8in.^2 and whose base is twice the altitude.
---------------------
Area = (1/2)(base)(altitude)
8 = (1/2)(2x)(x)
8 = x^2
x = 2sqrt2 in. (this is the altitude)
============
Cheers,
Stan H.
|
Percentage-and-ratio-word-problems/83514: Adjusting the saddle. The saddle Height on a bicycle should be 109% of the riders inside leg measurement L. See the figure on the next page Write an equation expressing the fact that the saddle height for Brenda is 36 in.
1 solutions
Answer 60041 by stanbon(57347) on 2007-05-26 22:45:49 (Show Source):
You can put this solution on YOUR website!The saddle Height on a bicycle should be 109% of the riders inside leg measurement L. See the figure on the next page Write an equation expressing the fact that the saddle height for Brenda is 36 in.
-----------------
Let Brenda's inside leg measurement be "x" inches.
EQUATION:
1.09x=36
=========================
Cheers,
Stan H.
|
Percentage-and-ratio-word-problems/83515: Consecutive even intergers. Find four consecutive even intergers whose sum is 340.
1 solutions
Answer 60040 by stanbon(57347) on 2007-05-26 22:42:10 (Show Source):
You can put this solution on YOUR website!Find four consecutive even intergers whose sum is 340.
-----------------------
Even integers are always multiples of 2
--------------
2x, 2(x+1), 2(x+2), 2(x+3) are 4 consecutive even integers.
EQUATIOn:
2x + 2x+2 + 2x+4 + 2x+6 = 340
8x + 12 = 340
8x = 328
x = 41
2x = 82
2(x+1)=84
2(x+2)=86
2(x+3)=88
================
Cheers,
Stan H.
|
Linear_Equations_And_Systems_Word_Problems/83521: A small company roduces both standard and deluxe playhouses. The standard playhouses take 12 hours of labor to produce, and the deluxe playhouses take 20 hours. The labor available is limited to 800 hoursper week, and the total production capacity is 50 items per week. Existing orders require the company toproduce at least 10 standard playhouses and 15 deluxe playhouses per week. Write a system of inequalities representing this situation, where x is the nuber of standard playhouses and y is the number of deluxe playhouses.
Multiply (-2.5)(20)
1 solutions
Answer 60039 by stanbon(57347) on 2007-05-26 22:34:39 (Show Source):
You can put this solution on YOUR website!A small company roduces both standard and deluxe playhouses.
---------------
The standard playhouses take 12 hours of labor to produce, and the deluxe playhouses take 20 hours.
Labor Inequality: 12x+10y<=800
----------------
The labor available is limited to 800 week, and the total production capacity is 50 items per week.
Production Inequality: x+y<=50
------------------------
Existing orders require the company to produce at least 10 standard playhouses and 15 deluxe playhouses per week.
x>=10
y>=15
----------------------
Write a system of inequalities representing this situation, where x is the nuber of standard playhouses and y is the number of deluxe playhouses
---------------------
Cheers,
Stan H.
|
Travel_Word_Problems/83520: A motorist traveled from city A to city B at an average speed of 50 mph. On the return trip, he left at 3:00pm and drove at an average rate of 60 mph, making the trip in 33 minutes less time. What is the distance from city A to city B?
1 solutions
Answer 60036 by stanbon(57347) on 2007-05-26 22:16:47 (Show Source):
You can put this solution on YOUR website!A motorist traveled from city A to city B at an average speed of 50 mph. On the return trip, he left at 3:00pm and drove at an average rate of 60 mph, making the trip in 33 minutes less time. What is the distance from city A to city B?
-----------------
A to B DATA:
Rate = 50 mph ; time = x hrs ; distance = rt = 50x miles
----------------------
B to A DATA:
Rate = 60 mph ; time = x-33/60 hrs ; distance = rt = 60(x-(33/60)) miles
------------------------
EQUATION:
distance = distance
50x = 60(x-(33/60))
50x = 60x - 33
10x = 33
x = 3.3 hrs
distance from A to B = 50(3.3) = 165 miles
====================
Cheers,
Stan H.
|
Linear-equations/83510: I am not understanding "undefined"
Find the slope of the line passing through the points (2,-5) and (-10,-5)
a). -12
b). undefined
c) 1
d) 0
please help
1 solutions
Answer 60030 by stanbon(57347) on 2007-05-26 19:59:51 (Show Source):
You can put this solution on YOUR website!Find the slope of the line passing through the points (2,-5) and (-10,-5)
-----------------
Your line has a slope = [-5--5]/[-10-2]= 0/-12 = 0
Notice that the two points have the same y value so the line
is parallel to the x axis. The slope is zero because y does
not change no matter how much change there is in x.
------------------------
Undefined refers to a slope whose value cannot be stated.
A vertical line (like x=5) has an "undefined" slope because the
y-value rises any amount you care to consider even though
the x value does not change; so the slope = (any number)/0
which is "undefined".
=====================
Cheers,
Stan H.
|
Travel_Word_Problems/83512: A passenger train travels 150 miles in the same time that a frieght train travels 100 miles. If the frieght train travels 20 mph slower than the passenger train, what is the speed of the passenger train?
1 solutions
Answer 60029 by stanbon(57347) on 2007-05-26 19:53:18 (Show Source):
You can put this solution on YOUR website!A passenger train travels 150 miles in the same time that a frieght train travels 100 miles. If the frieght train travels 20 mph slower than the passenger train, what is the speed of the passenger train?
----------------
Passenger train DATA:
distance = 150 mi ; Rate = x mph ; time = d/r = 150/x hrs
------------------
Freight train DATA:
disance = 100 mi ; Rate = x-20 mph ; time = d/r = 100/(x-20) hrs
---------------
EQUATION:
time = time
150/x = 100/(x-20)
3/x = 2/(x-20)
3x-60 = 2x
x=60 mph (passenger train rate)
x-20 = 40 mph (freight train rate)
================
Cheers,
Stan H.
|
Linear_Equations_And_Systems_Word_Problems/83511: The question is Translate the following staement into an algebraic equation. Let x represent thenumber 12 less than 5 times a number is 18.
A) 5x-12=18
B) 12-5x=18
C)(12-5)x=18
D) (5-12)x=18
Is this correct 5x-12=18
5x=30-12=18
Thanks for any help you can provide I do not know if the steps to slove is correct.
1 solutions
Answer 60028 by stanbon(57347) on 2007-05-26 19:48:32 (Show Source):
|
Polynomials-and-rational-expressions/83495: Simplify this equation?
x^2+5x+6 divided by x^2-4 multiplyed by x^2-5x+6 divided by x^2-9.
1 solutions
Answer 60023 by stanbon(57347) on 2007-05-26 16:09:07 (Show Source):
You can put this solution on YOUR website!x^2+5x+6 divided by x^2-4 multiplyed by x^2-5x+6 divided by x^2-9.
Factor where you can to get:
[(x+3)(x+2)/(x+2)(x-2)]
Cancel the common factors: (x+2) and (x_3) to get:
-------------
[(x+3)/(x-2)]
Cancel the common factors: (x+3) and (x-2) to get:
= 1
=================
Cheers,
Stan H.
|
Trigonometry-basics/83452: My dad is in a blimp. Dad says that when f(x) = sin(x/3.14) is positive .. he is elevated. When f(x) = sin(x/3.14) is negative ... he is below his natural range. Of course, x is in seconds. How many bobs does he take if he adventures for 20 seconds?
1 solutions
Answer 59995 by stanbon(57347) on 2007-05-26 08:24:30 (Show Source):
You can put this solution on YOUR website!My dad is in a blimp. Dad says that when f(x) = sin(x/3.14) is positive .. he is elevated. When f(x) = sin(x/3.14) is negative ... he is below his natural range. Of course, x is in seconds. How many bobs does he take if he adventures for 20 seconds?
------------
y=sin[(1/pi))x
Period = [2pi/[1/pi] = 2pi^2 =appox 19.739
---------
Assuming your "20 seconds" corresponds to radiuan, the blimp
goes thru one period of a sin curve. You will have to determine
how many "bobs" that is.
===============
cheers,
Stan H.
|
Systems-of-equations/83457: Turley Tailor Inc. makes long-sleeve, shortsleeve,
and sleeveless blouses. A long-sleeve blouse
requires 1.5 hours of cutting and 1.2 hours of sewing. A
short-sleeve blouse requires 1 hour of cutting and .9 hour of
sewing. A sleeveless blouse requires .5 hour of cutting
and .6 hour of sewing. There are 380 hours of labor available
in the cutting department each day and 330 hours in
the sewing department. If the plant is to run at full capacity,
how many of each type of blouse should be made each day?
1 solutions
Answer 59994 by stanbon(57347) on 2007-05-26 08:13:15 (Show Source):
You can put this solution on YOUR website!A long-sleeve blouse requires 1.5 hours of cutting and 1.2 hours of sewing.
----------
A short-sleeve blouse requires 1 hour of cutting and .9 hour of sewing.
---------
A sleeveless blouse requires .5 hour of cutting and .6 hour of sewing.
----------------
There are 380 hours of labor available in the cutting department each day
and 330 hours in the sewing department.
----------------
If the plant is to run at full capacity,
how many of each type of blouse should be made each day?
--------------------------
Let x be # of long-sleeve; y be # of short sleeve ; z be # of sleeveless blouses.
EQUATIONS:
Cutting Eq: 1.5x + y + 0.5z <=380
Sewing Eq: 1.2x +0.9y + 0.6z <= 330
-------------------------
Comment: You need additional information to give you a 3rd equation
so you can solve for x,y, and z.
============
Cheers,
Stan H.
|
Coordinate-system/83465: This question is from textbook college algebra
This problem is asking for me to show coordinates, graph my work and to show it. I really don't understand any of this.
Using the formula, , let r = 10%, P = 1, and n = 1 and give the coordinates (t, A) for the points where t = 0, 1, 2, 3, 4. Round your answer to the nearest tenth's place.
1 solutions
Answer 59993 by stanbon(57347) on 2007-05-26 08:02:19 (Show Source):
You can put this solution on YOUR website!A(t) = (1+0.1)^t
=========
Coordinates:
A(t) = (1+0.1)^t
A(0) = (1.1)^0 = 1
A(1) = (1.1)^1 = 1.1
A(2) = 1.1^2 = 1.21
A(3) = 1.1^3 = 1.331
A(4) = 1.1^4 = 1.4641
=========
Cheers,
Stan H.
|
real-numbers/83453: Hello can you please help me classify the given numbers as real and rational, real and irrational, or complex as they are written below.
a)(2)1/2 +2classify the given numbers as real and rational, real and irrational, or complex as they are written below.
a)(2)1/2 +2
b)i
c)0
d)3-(-5)1/2i
e)(100)1/5
f)30007
g)(8)1/3
h)4+0i
2) think of any fundamental operation addition, subtraction, mulitplication, division, exponentation on a) irrational number, which results in -a rational number. an irrational number.
3)a complex number (a+bi, where a and b are real and b is not equal to zero) which results in a real number. a complex number (a+bi, where a and b are real) please help me solve these problems I would really appreciate it thank you.
b)i
c)0
d)3-(-5)1/2i
e)(100)1/5
f)30007
g)(8)1/3
h)4+0i
2) think of any fundamental operation addition, subtraction, mulitplication, division, exponentation on a) irrational number, which results in -a rational number. an irrational number.
3)a complex number (a+bi, where a and b are real and b is not equal to zero) which results in a real number. a complex number (a+bi, where a and b are real) please help me solve these problems I would really appreciate it thank you.
1 solutions
Answer 59978 by stanbon(57347) on 2007-05-25 22:37:11 (Show Source):
You can put this solution on YOUR website!classify the given numbers as real and rational, real and irrational, or complex as they are written below.
a)(2)1/2 +2-----------rational and real
b)i-------------------complex
c)0-------------------rational and real
d)3-(-5)1/2i----------complex
e)(100)1/5------------rational and real
f)30007---------------rational and real
g)(8)1/3--------------rational and real
h)4+0i----------------complex
--------------------------------------------------
2) think of any fundamental operation addition, subtraction, mulitplication, division, exponentation on a) irrational number, which results in -a rational number. an irrational number.
Start with an irrational; exponentiation or multiplication MIGHT result in getting a rational #
Start with a rational: Taking the square root MIGHT result in getting an irrational #
Comment: I find your question confusing.
-------------------------------------------
3)a complex number (a+bi, where a and b are real and b is not equal to zero) which results in a real number. a complex number (a+bi, where a and b are real) please help me solve these problems I would really appreciate it thank you.
Comment: What are you asking?
------------
Cheers,
Stan H.
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Money_Word_Problems/83458: One type of uranium has radioactive decay rate of 0.5%. If 20 pounds of this uranium is available today, find how much will still remain after 30days.
-0.005t
Use y=20(2.7) and let t be 30 days.
Quantity left after 30 days =" "pounds.( round to the nearest tenth)
1 solutions
Answer 59975 by stanbon(57347) on 2007-05-25 22:19:40 (Show Source):
You can put this solution on YOUR website!One type of uranium has radioactive decay rate of 0.5%. If 20 pounds of this uranium is available today, find how much will still remain after 30days.
----------------------------
A(t) = Ao (1-0.005)^t
A(30) = 20(0.995)^30
A(30) = 20*0.8604
A(30) = 17.208 lbs.
==================
Cheers,
Stan H.
|
Linear-equations/83464: Solve the following system of linear inequalities by showing work and graphing.
x – 3y > 6
3x + 2y > 12
Can anyone offer any help on this problem?
1 solutions
Answer 59974 by stanbon(57347) on 2007-05-25 22:10:00 (Show Source):
You can put this solution on YOUR website!Solve the following system of linear inequalities by showing work and graphing.
x – 3y > 6
3x + 2y > 12
--------------
solve eqch inequality for y, as follows:
y < (1/3)x-2
y > (-3/2)x+6
------------------
Now, graph the EQUALITY associated with each inequality:
------------------------
Each of these is a boundary of the corresponding INEQUALITY.
They are not part of the graph so should be drawn as dashed lines.
--------------------------
Now, determine where the half-plane INEQUALITY lies relative to
each boundary. How???
1st Pic a test point, like (0,0)
Substitute those values into the INEQUALTIY to determine if the
point is in the half-plane solution.
-------------------
Substituting in the 1st InEQUALITY you get 0<(1/3)x-2; 0<-2
That is false so the half-plane on the other side of y=(1/3)x-2
should be shaded.
-----------
Substituting in the 2nd INEQUALITY you get 0>(-3/2)*0+6
That is true so the half-plane on the side of y>(-3/2)x+6
which contains the test point is the half-plane graph of
y>(-3/2)x+6. That half-plane should be darkened.
---------------
the intersection of the two darkened half-plnes is the
graph of the solution set of the system of inequalities.
================
Cheers,
Stan H.
|
logarithm/83466: I am having problems doing this portion of my assignment. Could you please help?
Research how sound is measured. Include the following items in your posting:
The formula for measuring sound.
Pick a specific sound, give the decibels of the sound, and explain what this measurement means.
1 solutions
Answer 59973 by stanbon(57347) on 2007-05-25 21:51:25 (Show Source):
You can put this solution on YOUR website!May I suggest you use Google: search for "decibel sound examples".
There are several excellent sites that explain how sound is measured
and give examples of the decibel measurement of familiar sounds..
Cheers,
Stan H.
|
Systems-of-equations/83456: solve each system of equations.Let Z be the parameter.
x + 2y +3z =11
2x - y + z = 2
1 solutions
Answer 59964 by stanbon(57347) on 2007-05-25 20:06:35 (Show Source):
You can put this solution on YOUR website!solve each system of equations.Let Z be the parameter.
x + 2y +3z =11
2x - y + z = 2
---------------
x + 2y = -3z+11
2x - y = -z+2
----------------
Let A be the coefficient matrix of x and y
Then A^-1 = [.2 .4]
[.4 -.2]
--------
Let B = [-3z+11]
[-z+2 ]
-------------------
Then [A^-1][B]= (1/5) [-3z+11-2z+4]
[-6z+22+z-2 ]
=[-z+3]
[-z+4]
===============
So x= -z+3 and y=-z+4
=================
Cheers,
Stan H.
------------------------
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Probability-and-statistics/83253: I'm having a really hard time understanding how to fill in this chart with so little to go on.
Produce a Cross Tabulation Table Self-Esteem by Gender
Break Self-Esteem into the following classes;
Low = a score less than 55;
Moderate a score between 55 to 75;
and High a score greater than 75.
Label your table.
Gender of Respondent
Self Esteem Male Female Total
Low Total 7
Moderate total 9
High total 4
Total total 20
Research Data (20 of 300)
What do the letters at the top of each of these columns mean?
# P N % SE D G R A
001 23 13 .64 56 06 2 2 19
002 21 22 .49 24 10 2 1 20
003 19 30 .39 60 04 1 4 1
004 24 07 .77 80 06 2 1 23
005 29 31 .48 64 01 1 2 21
006 17 30 .36 80 09 2 1 20
007 10 24 .29 24 12 1 1 20
008 39 16 .71 40 05 1 1 25
009 28 18 .61 68 02 1 2 19
010 07 24 .23 36 09 2 4 34
011 07 30 .19 40 15 2 1 17
012 09 86 .10 16 36 2 4 30
013 27 24 .53 72 08 2 1 20
014 26 06 .81 80 00 2 1 30
015 28 13 .68 72 02 1 1 20
016 07 23 .23 60 22 2 1 21
017 16 37 .30 52 15 1 1 21
018 30 09 .77 84 06 2 1 19
019 19 34 .36 56 09 1 1 19
020 21 29 .42 64 13 1 1 20
1 solutions
Answer 59963 by stanbon(57347) on 2007-05-25 19:37:38 (Show Source):
You can put this solution on YOUR website!May I suggest you use Google to search for "Cross Correlation Tables statistics"?
There are several good sites which show you examples of Cross Correlation
Tables based on data.
===========
Cheers,
Stan H.
|
Probability-and-statistics/83418: Decrease in Banks The number of banks in the United
States has dropped about 30% since 1992. The following
data are from a survey in which x represents the years
since 1900 and y corresponded to the number of banks, in
thousands, in the United States.†
n=10 the weird E symbol x^2 = 93,205
werid E x = 965 weird E xy = 9165.10
weird y = 95.3 weird y^2 = 920.47
a. Find an equation of the least squares line.
b. If the trend continues, how many banks will there be in
2004?
c. Find and interpret the coefficient of correlation.
1 solutions
Answer 59953 by stanbon(57347) on 2007-05-25 17:23:39 (Show Source):
You can put this solution on YOUR website!The following data are from a survey in which x represents
the years since 1900 and y corresponded to the number of
banks, in thousands, in the United States.†
----------
n=10 the weird E(x^2) = 93,205 ;
E(x) = 965 ; E(xy) = 9165.10
E(y) = 95.3 ;E(y^2) = 920.47
-------------
a. Find an equation of the least squares line.
y-hat = bo + b1x
bo = [(E(y)(E(x^2)-(E(x))(E(xy))] / [nE(x^2) )- (E(x))^2]
bo = [95.3*93.205-965*9165.1] / [10*93.205-965^2]
bo = [-8835439.064] / [-30292.95] = 9.49748...
---------
b1 = [nE(xy) -E(x)*E(y)] / [nE(x^2) - (Ex)^2]
b1 = [10*9165.1 - 965*95.3] / [ 10*93.205 - 965^2]
b1 = [-313.5] / [ -930292.95]
b1 = 0.00033699
-----------
y-hat = 9.49748 + 0.00033699 x
----------------------------------
b. If the trend continues, how many banks will there be in
2004?
From 1900 to 2004 is 104 years
Letting x = 104 you get:
# of banks in 2004 = 9.49748 + 0.0033699(104) = 9.84 thousand banks
--------------
===============
Cheers,
Stan H.
|
Polynomials-and-rational-expressions/83420: Freeport McMoran projects that in 2010 world grain supply will be 1.8 trillion metric tons and the supply will be only 3/4 of the world grain demand. What will world grain demand be in 2010?
1 solutions
Answer 59937 by stanbon(57347) on 2007-05-25 15:10:44 (Show Source):
You can put this solution on YOUR website!Freeport McMoran projects that in 2010 world grain supply will be 1.8 trillion metric tons and the supply will be only 3/4 of the world grain demand. What will world grain demand be in 2010?
---------------
Let world demand in 2010 be "x".
EQUATION:
(3/4)x = 1.8 trillion metric tons
x = (4/3)1.8 trillion metric tons
x = 2.4 trillion metric tons
==============
Cheers,
Stan H.
|
Linear_Algebra/83425: Please help me solve this:
For a fixed rate, a fixed principal amount and a fixed compounding cycle, the return is an exponential function of time. Using a formula, let r = 10%, P = 1 and n = 1 and give the coordinates (t,A) for the points where t = 0,1,2,3,4. Round your answer to the nearest tenth's place.
1 solutions
Answer 59933 by stanbon(57347) on 2007-05-25 15:04:42 (Show Source):
You can put this solution on YOUR website!For a fixed rate, a fixed principal amount and a fixed compounding cycle, the return is an exponential function of time. Using a formula, let r = 10%, P = 1 and n = 1 and give the coordinates (t,A) for the points where t = 0,1,2,3,4. Round your answer to the nearest tenth's place.
----------------
A(t) = P(1+r/n)^(nt)
(0,1)
(1,1.1)
(2,1.0192)
(3,1.029)
(4,1.0389)
===============
Cheers,
Stan H.
|
Probability-and-statistics/83419: the following table lists how poerty level income cutoffs (in dollars) for a family of four have changed over time
year/income
1970/3968
1975/5500
1980/8414
1985/10989
1990/13359
1995/15569
2000/17603
Let x be the year, with x = 0 corresponding to 1970, and y be the income in thousands of dollars. (note: symbol weird E x = 105, Weird Ex^2 = 2275, weird Ey=75.402, Weird Ey^2 = 968.270792, wierd Exy = 1460.97)
A) PLOT THE DATA. DO THE DATA APPEAR TO LIE ALONG A SRAIGHT LINE?
B) CALCULATE TH ECOEFFICIENT OF CORRELATION. dOES YOUR RESULT AGREE WITH YOUR ANSWER IN PART a?
C)fIND THE EQUATION OF THE LEAST SQUARE LINE.
d) uSE YOUR ANSWER FROM PART c TO PREDICT THE POVERTY LEVEL IN THE YEAR 2015.
1 solutions
Answer 59928 by stanbon(57347) on 2007-05-25 14:55:47 (Show Source):
You can put this solution on YOUR website!the following table lists how poerty level income cutoffs (in dollars) for a family of four have changed over time
year/income
1970/3968
1975/5500
1980/8414
1985/10989
1990/13359
1995/15569
2000/17603
------------
Enter Data into a TI-83 or better:
Run the "Linear Regression" function on the data:
Let x be the year, with x = 0 corresponding to 1970, and y be the income in thousands of dollars. (note: symbol weird E x = 105, Weird Ex^2 = 2275, weird Ey=75.402, Weird Ey^2 = 968.270792, wierd Exy = 1460.97)
A) PLOT THE DATA. DO THE DATA APPEAR TO LIE ALONG A SRAIGHT LINE?
Yes
-----------
AGREE WITH YOUR ANSWER IN PART a?
r = 0.96 ; yes
------------------
C)fIND THE EQUATION OF THE LEAST SQUARE LINE.
y = 519.99x +5051.797
--------------------
d) uSE YOUR ANSWER FROM PART c TO PREDICT THE POVERTY LEVEL IN THE YEAR 2015.
f(35) = 23252
========================
Cheers,
Stan H.
|
Vectors/83318: Question – 5: Consider the vectors,a=12i + 2j, b= -2i + 3j, and c = a-b
(a) Find the magnitude, and the direction of the vectors a,b and c.
(b) Find the value of the angle between a and b .
(c) Find the area of the triangle whose vertices are the end points of the vectors, a , b , and c .
1 solutions
Answer 59882 by stanbon(57347) on 2007-05-24 22:45:35 (Show Source):
You can put this solution on YOUR website!Consider the vectors,a=12i + 2j, b= -2i + 3j, and c = a-b
(a) Find the magnitude, and the direction of the vectors a,b and c.
Looking at vector "a" = 12i+2j
magnitude = sqrt(12^2+2^2) = sqrt148 = 2sqrt37
direction = arc tan (2/12) = 9.4623 degrees
Comment: Do the same for b and c
----------------------
(b) Find the value of the angle between a and b .
Look at your direction angles for and b and take the appropriate difference.
-------------------
(c) Find the area of the triangle whose vertices are the end points of the vectors, a , b , and c .
This depends alot on the formulas you have for the area of a triangle
-------------
Cheers,
Stan H.
|
Rational-functions/83357: This question is from textbook
A bacteria culture started with a count of 720 at 8:00 A.M., and after t hours is expected to grow to f(t)=720(3/2)^t. Estimate the number or bacteria in the culture at 11:00 A.M. the same day
1 solutions
Answer 59881 by stanbon(57347) on 2007-05-24 22:27:53 (Show Source):
You can put this solution on YOUR website!A bacteria culture started with a count of 720 at 8:00 A.M., and after t hours is expected to grow to f(t)=720(3/2)^t. Estimate the number or bacteria in the culture at 11:00 A.M. the same day
------------
From 8 to 11 is 3 hours:
Your Problem:
f(3) = 720(3/2)^3 = 2430 bacteria at 11:00 AM
============
Cheers,
Stan H.
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