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Recent problems solved by 'stanbon'
stanbon answered: 57151 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 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179, >>Next
Radicals/304999: how to simplify this problem: √8 + √28
I got:
√2 + √7
But I do not think these can be combined.
Thank you.
1 solutions
Answer 218419 by stanbon(57219)   on 2010-05-16 09:41:34 (Show Source):
You can put this solution on YOUR website!how to simplify this problem: √8 + √28
I got:
√2 + √7
But I do not think these can be combined.
-----
sqrt(8) + sqrt(28)
---
= sqrt(4*2) + sqrt(4*7)
---
= 2sqrt(2) + 2sqrt(7)
---
= 2(sqrt(2)+sqrt(7))
========================
Cheers,
Stan H.
|
Probability-and-statistics/304950: A manufacturer claims that the mean lifetime, , of its light bulbs is months. The standard deviation of these lifetimes is months. One hundred bulbs are selected at random, and their mean lifetime is found to be months. Can we conclude, at the level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from months?
Perform a two-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table.
1. The null hypothesis?
2. The alternative hypothesis?
3. The type test statistic
4. The value of the test statistic
5. The p value
6. Can we conclude that mean lifetime of the light bulbs may by this manufacturer differs from 45 months.
1 solutions
Answer 218418 by stanbon(57219) on 2010-05-16 09:37:53 (Show Source):
|
Length-and-distance/304924: Line segment CD is tangent to circle Z at (1,7). If Z has coordinates (5,2), find the slope of line segment CD.
1 solutions
Answer 218363 by stanbon(57219) on 2010-05-15 22:26:51 (Show Source):
You can put this solution on YOUR website!Line segment CD is tangent to circle Z at (1,7). If Z has coordinates (5,2), find the slope of line segment CD.
-------------------------
CD is perpendicular to the segment containing (1,7) and (5,2)
----
slope = (2-7)/(5-1) = -5/4
------
slope of the tangent must be 4/5
The line passes thru (1,7)
---
Form:
7 = (4/5)1 + b
b = 31/5
---
Equation:
y = (4/5)x + 31/5
==============================
Cheers,
Stan H.
|
Probability-and-statistics/304906: To pour a concrete sidewalk takes 2 hours of preparation and 3 hours of finishing. To pour a concrete patio takes 4 hours of preparation and 3 hours of finishing. There are 8 hours available for preparation and 21 hours available for finishing. ABC Concrete Company makes a profit of $450 on a sidewalk and $700 on a patio. How many sidewalks and patios should the company construct to maximize its profit?
Set up a system of inequalities for this problem, identify all variables used, and give the objective function, but do not solve.
1 solutions
Answer 218359 by stanbon(57219) on 2010-05-15 22:18:09 (Show Source):
You can put this solution on YOUR website!s is the number sidewalks constructed.
p is the number of patios constructed.
==========================================
To pour a concrete sidewalk takes 2 hours of preparation and 3 hours of finishing.
To pour a concrete patio takes 4 hours of preparation and 3 hours of finishing. There are 8 hours available for preparation and 21 hours available for finishing.
---
Inequalities:
Preparation: 2s + 4p <= 8 hours
---
Finishing::: 3s + 3p <= 21 hours
====================================
ABC Concrete Company makes a profit of $450 on a sidewalk and $700 on a patio. How many sidewalks and patios should the company construct to maximize its profit?
Objective Function: Profit = 450s + 700p
---------------------------------------------------
Set up a system of inequalities for this problem, identify all variables used, and give the objective function, but do not solve.
==============================================
Cheers,
Stan H.
|
Probability-and-statistics/304872: In a sample of 100 Planter’s Mixed Nuts, 19 were found to be almonds. (a) Construct a 90 percent confidence interval for the true proportion of almonds. (b) May normality be assumed? Explain.
(c) What sample size would be needed for 90 percent confidence and an error of ± 0.03? (d) Why would a quality control manager at Planter’s need to understand sampling?
1 solutions
Answer 218343 by stanbon(57219) on 2010-05-15 18:48:54 (Show Source):
You can put this solution on YOUR website!In a sample of 100 Planter’s Mixed Nuts, 19 were found to be almonds.
(a) Construct a 90 percent confidence interval for the true proportion of almonds.
----
p-hat = 0.19
standard error = 1.645*sqrt(0.19*0.81/100) = 0.0645
-----
90% CI: 0.19-0.0645 < p < 0.19+0.0645
=============================================
(b) May normality be assumed? Explain.
I'll leave that to you.
=============================================
(c) What sample size would be needed for 90 percent confidence and an error of ± 0.03?
---
n = [z/E]^2*pq
---
n = [1.645/0.03]^2*0.19*0.81 = 462.65
---
Round up to n = 463
===========================
(d) Why would a quality control manager at Planter’s need to understand sampling?
Testing will show him whether the product is as it is being advertised.
====================================
Cheers,
stan H.
====================================
|
test/304878: If Ginger got six times as many right as she got wrong on a 140-question civics test, how many did she get right?
A. 80
B. 90
C. 100
D. 110
E. 120
1 solutions
Answer 218315 by stanbon(57219) on 2010-05-15 17:31:31 (Show Source):
You can put this solution on YOUR website!If Ginger got six times as many right as she got wrong on a 140-question civics test, how many did she get right?
---
Let # of wrong be "x".
Then # of right = "6x".
---
Equation:
x + 6x = 140
7x = 140
x = 20 (# wrong)
6x = 120 (# right)
=====================
Cheers,
Stan H.
=====================
A. 80
B. 90
C. 100
D. 110
|
Trigonometry-basics/304856: Find (1/sqrt2 + i/sqrt2)^8
-8
256
8
1
None
1 solutions
Answer 218312 by stanbon(57219) on 2010-05-15 17:25:22 (Show Source):
You can put this solution on YOUR website!Find (1/sqrt(2) + i/sqrt(2))^8
---
= [(1+i)/sqrt(2)]^8
-----
= (1/16)[8C8(1)^8(i)^0 + 8C7(i^1) + 8C6(i^2) + 8C5(i^3) + 8C4(i^4) + 8C3(i^5)
+ 8C2(i^6) + 8C1(i^7) + 8C0(i^8)]
-----
= (1/16)[1 + 8i - 28 - 56i + 70 + 56i - 28 -8i + 1]
---
(1/16)(2 - 56 + 70]
(1/16)(16)
= 1
-------------------------
Cheers,
Stan H.
-------------------------
-8
256
8
1
None
|
Probability-and-statistics/304846: In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below.
Research question: Are the mean crash damages the same for these three
vehicles?
Crash Damage ($)
Goliath Varmint Weasel
1,600 1,290 1,090
760 1,400 2,100
880 1,390 1,830
1,950 1,850 1,250
1,220 950 1,920
1 solutions
Answer 218298 by stanbon(57219) on 2010-05-15 16:37:17 (Show Source):
You can put this solution on YOUR website!In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below.
Research question: Are the mean crash damages the same for these three
vehicles?
Crash Damage ($)
Goliath Varmint Weasel
1,600 1,290 1,090
760 1,400 2,100
880 1,390 1,830
1,950 1,850 1,250
1,220 950 1,920
--------------------------------------------------------------
Ho: the means are all equal
Ha: at least one of the means is different
----
I ran an ANOVA test on the data to get the following:
---
test statistic: F = 0.9367
p-value: 0.4188
---
Since the p-value is greater than 5%, fail to reject Ho.
----
The test results support saying the results of the crash
tests are the same for the three vehicle types.
========================================================
Cheers,
Stan H.
=====================
|
Probability-and-statistics/304843: It is estimated that 10 percent of those taking the quantitative methods portion of the CPA examination fail that section. Sixty students are taking the exam this Saturday.
a. How many would you expect to fail? What is the standard deviation?
b. What is the probability that exactly two students will fail?
C. What is the probability at least two students will fail?
1 solutions
Answer 218295 by stanbon(57219) on 2010-05-15 16:05:08 (Show Source):
You can put this solution on YOUR website!It is estimated that 10 percent of those taking the quantitative methods portion of the CPA examination fail that section.
Sixty students are taking the exam this Saturday.
a.
How many would you expect to fail?;;;;;0.1(60)= 6
What is the standard deviation?;;;; sqrt(60*0.1*0.9) = 2.32
------------------------------------------------------------
b. What is the probability that exactly two students will fail?
P(x=2) = 60C2(0.1)^2*(0.9)^58 = 0.0393
-----------------------------------------------
C. What is the probability at least two students will fail?
P(2<= x <=60) = 1 - P(0<= x <=1) = 0.9862
------------------------------------------------
Cheers,
Stan H.
|
Age_Word_Problems/304792: How many farther can a boa traveling at a rate of 15 kilometers per hour for x hours travel than a second boat traveling at a rate of 18 kilometers per hour for x-3hours?
1 solutions
Answer 218271 by stanbon(57219) on 2010-05-15 12:53:30 (Show Source):
You can put this solution on YOUR website!How much farther can a boat traveling at a rate of 15 kilometers per hour for x hours travel than a second boat traveling at a rate of 18 kilometers per hour for x-3hours?
---
Distance = rate*time
1st: 15x miles
2nd: 18(x-3) = 18x-54
-------------------------------
Equation:
(18x-54) - 15x = 3x-54 miles further.
=====================================
Cheers,
Stan H.
==================================
|
Linear-equations/304774: determine the range of the linear equation:
y=4x-x^2: domain={-1,-2,0}
1 solutions
Answer 218246 by stanbon(57219) on 2010-05-15 10:35:37 (Show Source):
You can put this solution on YOUR website!determine the range of the linear equation:
y=4x-x^2: domain={-1,-2,0}
---
If x = -1, y = -4-1 = -5
---
If x = -2, y = -8-4 = -12
---
If x = 0, y = 0-0 = 0
------------------------
Range = {-12, -5, 0}
=========================
Cheers,
Stan H.
=========================
|
Miscellaneous_Word_Problems/304771: Bill is 3 times as old as Nancy.
In 12 years Bill will be twice as old as Nancy.
How old are Bill and Nancy now?
1 solutions
Answer 218245 by stanbon(57219) on 2010-05-15 10:32:55 (Show Source):
You can put this solution on YOUR website!Bill is 3 times as old as Nancy.
In 12 years Bill will be twice as old as Nancy.
How old are Bill and Nancy now?
-----------------
Equations:
b = 3n
(b+12) = 2(n+12)
-------------------
Substitute for "b" and solve for "n":
3n+12 = 2n+24
n = 12 yrs old (Nancy's age now)
---
Since b = 3n, b = 3*12 = 36 yrs old (Bill's age now)
======================================================
Cheers,
Stan H.
==============================
|
Probability-and-statistics/304719: 5. Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12
a. What proportion of people have disastolic blood pressure less than 90%
b. What proportion have diatolic blood pressure between 80 and 90% ?
1 solutions
Answer 218244 by stanbon(57219) on 2010-05-15 10:29:40 (Show Source):
You can put this solution on YOUR website!Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12
a. What proportion of people have disastolic blood pressure less than 90%
---------
z(90) = (90-85)/12 = 0.4167
---
P(x < 90) = P(z < 0.4167) = 0.6616
==================
b. What proportion have diatolic blood pressure between 80 and 90% ?
80 is 5 to the left of the mean just as 90 is 5 to the right.
P(80< x < 90) = P(-0.4167 < z < 0.4167) = 0.3231
================
Cheers,
Stan H.
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Probability-and-statistics/304720: The LMB company manufactures tyres. They claim that only 0.007 LMB tyres are defective.What is the probability of finding 2 defective tyres in a random sample of 50 LMB tyres?
1 solutions
Answer 218242 by stanbon(57219) on 2010-05-15 10:23:05 (Show Source):
You can put this solution on YOUR website!The LMB company manufactures tyres. They claim that only 0.007 LMB tyres are defective.What is the probability of finding 2 defective tyres in a random sample of 50 LMB tyres?
---------------------------------
Binomial Problem with n = 50, p = 0.007, x = 2
----------
P(x=2) = 50C2(0.007)^2(0.993)^48 = 0.0428
==============
Cheers,
Stan H.
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Probability-and-statistics/304744: 4. A company recruits personnel for its sales department on the basis of special tests designed to judge the potential of the candidates. The following table gives test scores and the mean daily sales for 9 executives.
a. Fit a regression line of Y on X.
b. Prepare a table of predicted values and residuals.
Mean daily Score(Y)
34 39 30 33 36 38 45 41 48
Test Score (X)
59 69 50 56 64 66 77 73 83
1 solutions
Answer 218225 by stanbon(57219) on 2010-05-15 07:42:02 (Show Source):
You can put this solution on YOUR website!A company recruits personnel for its sales department on the basis of special tests designed to judge the potential of the candidates. The following table gives test scores and the mean daily sales for 9 executives.
a. Fit a regression line of Y on X.
y = 0.5483x+ 1.8499
---------------------
b. Prepare a table of predicted values and residuals.
The first few are:
Predicted values: 34.2;39.683;29.265...
Residuals (O-E):: -0.1996;-0.6826;0.7351...
========================
Cheers,
Stan H.
========================
Mean daily Score(Y)
34 39 30 33 36 38 45 41 48
Test Score (X)
59 69 50 56 64 66 77 73 83
---------------------------------
Cheers,
Stan H.
---------------------------------
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Probability-and-statistics/304738: 30 % of firm’s orders come from new customers. A simple random sample of 100 orders will be used to estimate the proportion of new customers. Find probability that sample proportion will be between 0.22 and 0.40
1 solutions
Answer 218224 by stanbon(57219) on 2010-05-15 07:27:08 (Show Source):
You can put this solution on YOUR website!30 % of firm’s orders come from new customers. A simple random sample of 100 orders will be used to estimate the proportion of new customers. Find probability that sample proportion will be between 0.22 and 0.40
-----------------
p = 0.3
sigma = sqrt(pq) = sqrt(0.3*0.7)
-------------------------------------
z(0.22) = (0.22-0.30)/[sqrt(0.3*0.7/100)] = -1.7457
---
z(0.40) = (0.40-0.30)/[sqrt(0.3*0.7/100)] = 2.1822
---
P(0.22 < p < 0.40) = P(-1.7457 < z < 2.1822) = 0.9450
===========================
Cheers,
Stan H.
===========================
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Proportions/304743: For every 1,000 cubic meters of air that comes through a filtering system , 0.05 gram of dust is removed.how many grams of dust are removed when 10^7 cubic meters of air have been filtered ?
(A) 5 (B) 50 (C) 500 (D) 5,000 (E) 50,000
1 solutions
Answer 218221 by stanbon(57219) on 2010-05-15 07:14:35 (Show Source):
You can put this solution on YOUR website!For every 1,000 cubic meters of air that comes through a filtering system , 0.05 gram of dust is removed. How many grams of dust are removed when 10^7 cubic meters of air have been filtered ?
---
Proportion:
x/10^7 = 0.05/1000
---
x = 10^7(0.05/1000)
---
x = 10^4*0.05
---
Move the decimal point 4 places to the right to get:
---
x = 500
============================
Cheers,
Stan H.
============================
(A) 5 (B) 50 (C) 500 (D) 5,000 (E) 50,000
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Probability-and-statistics/304714: 62% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability that the number who consider themselves baseball is (a) exactly 8, (b) at least 8, &(c)less than 8.
(a) P(8)
(b) P(x is greater than or equal to 8)
(c) P(x<8)
The formula is the part I cannot figure out how to solve.
Please help me figure out the formula and then I could work the problem.
1 solutions
Answer 218219 by stanbon(57219) on 2010-05-15 07:01:50 (Show Source):
You can put this solution on YOUR website!These are binomial problems.
n is the number of trials
p is the probability of success on each trial
x is the number of successes in n trials.
---
The formula is P(x=k) = nCk*p^k*q^(n-k)
----
Cheers,
Stan H.
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Probability-and-statistics/304703: ) P-value for a hypothesis test is 0.06. For each of the following significance levels, decide whether the null hypothesis should be rejected:
a) α = 0.05
b) α = 0.10
c) α = 0.06
1 solutions
Answer 218208 by stanbon(57219) on 2010-05-14 22:44:41 (Show Source):
You can put this solution on YOUR website!P-value for a hypothesis test is 0.06. For each of the following significance levels, decide whether the null hypothesis should be rejected:
-----
Reject Ho if the p-value is less than alpha
------------------------------------------
a) α = 0.05 ---fail to reject
b) α = 0.10 ---reject
c) α = 0.06 ---indecisive
===============================================
Cheers,
Stan H.
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Problems-with-consecutive-odd-even-integers/304697: The sum of the squares of two consecutive positive even numbers is 20.
What is the smaller number?
1 solutions
Answer 218192 by stanbon(57219) on 2010-05-14 21:28:59 (Show Source):
You can put this solution on YOUR website!The sum of the squares of two consecutive positive even numbers is 20.
What is the smaller number?
------------------------
1st: (2x)^2
2nd: (2x+2)^2
----------------------------------
Equation:
4x^2 + 4x^2 + 8x + 4 = 20
---
8x^2 + 8x + 4 = 20
2x^2 + 2x + 1 = 5
---
2x^2 + 2x -4 = 0
x^2 + x -2 = 0
(x+2)(x-1) = 0
Positive solution:
x = 1
1st: 2x = 2
2nd: 2x+2 = 4
-----------------------
Cheers,
Stan H.
=========================
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Linear_Equations_And_Systems_Word_Problems/304696: . If you earned an average of
$25,000 over your working life and you retire after 2005 at
age 62, 63, or 64, then your annual Social Security benefit
will be $7000, $7500, or $8000, respectively.
There is a linear equation that gives the annual benefit b in terms of age a for
these three years. Find the equation.
1 solutions
Answer 218188 by stanbon(57219) on 2010-05-14 21:13:27 (Show Source):
You can put this solution on YOUR website!If you earned an average of
$25,000 over your working life and you retire after 2005 at
age 62, 63, or 64, then your annual Social Security benefit
will be $7000, $7500, or $8000, respectively.
There is a linear equation that gives the annual benefit b in terms of age a for
these three years. Find the equation.
-----
Pick two points:
(0,7000),(1,7500)
---
slope: 500/1
---
Form: y = mx + b
7500 = 500*1+b
b = 7000
----------------------
Equation:
Benefit = 500(x)+7000 where "x" is the number of years after age 62
--------------------
Cheers,
Stan H.
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Probability-and-statistics/304684: this is the problem question:
Recently study of cardiovascular Risk Factors reports that 30% of Adults meet the Criteria for Hypertension if 15 adults are assessed what is the Probability that:
A. Exactly 5 meet the Criteria for Hypertension?
B. None meet the criteria for Hypertension?
c. Less than or equal to 7 meet the Criteria for Hypertension?
does it related to using the proability?
1 solutions
Answer 218184 by stanbon(57219) on 2010-05-14 21:04:20 (Show Source):
You can put this solution on YOUR website!Recently study of cardiovascular Risk Factors reports that 30% of Adults meet the Criteria for Hypertension. If 15 adults are assessed what is the Probability that:
A. Exactly 5 meet the Criteria for Hypertension?
P(x=5) = 15C5(0.3)^5(0.7)^10 = 0.2061
---------------------------------------------
B. None meet the criteria for Hypertension?
P(x=0) = 15C0*(0.3)^0(0.7)^15 = 0.0047
---------------------------------------------
c. Less than or equal to 7 meet the Criteria for Hypertension?
P(0<- x <=7) = binomcdf(15,0.3,7) = 0.95
==========================================
Cheers,
Stan H.
==========================================
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logarithm/304675: log(5x+8)=1+log(x-5)
solve for x
I keep getting 58/5, which is obviously incorrect
1 solutions
Answer 218162 by stanbon(57219) on 2010-05-14 19:16:36 (Show Source):
You can put this solution on YOUR website!log(5x+8)=1+log(x-5)
solve for x
-----------
log(5x+8)-log(x-5) = 1
----
log[(5x+8)/(x-5)] = 1
----
(5x+8)/(x-5) = 10
-----
5x+8 = 10(x-5)
----
5x-10x = -50-8
-5x = -58
x = 58/5
-----------------
Cheers,
Stan H.
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Quadratic_Equations/304665: the promblem is very confusing
The average annual undergraduated tution and fee charges C, in dollars for a certain 4 yr college for academic years 2000-2001 through 2005-2006 can be estmiated by the equation C=29.7x^2 +314.4x +3467.1, where x is the number of years after the 2000-2001 scademic year. assuming the model will remain valid beyond 2005-2006, in which academic YEAR will tution and fee charges be 8000?
1 solutions
Answer 218159 by stanbon(57219) on 2010-05-14 19:07:25 (Show Source):
You can put this solution on YOUR website!The average annual undergraduated tution and fee charges C, in dollars for a certain 4 yr college for academic years 2000-2001 through 2005-2006 can be estmiated by the equation C=29.7x^2 +314.4x +3467.1, where x is the number of years after the 2000-2001 scademic year. assuming the model will remain valid beyond 2005-2006, in which academic YEAR will tution and fee charges be 8000?
----------------------------
C(x) = 29.7x^2 +314.4x +3467.1
----
Solve 29.7x^2 + 314.4x + 3467.1 = 8000
---
29.7x^2 + 314.4x - 4532.9 = 0
----
I graphed the quadratic and found a positive
solution at x = 8.1472
---
Year = 2000+8.1472 means academic year 2009-10
====================================================
Cheers,
Stan H.
====================
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Probability-and-statistics/304671: this is the problem:
Each even can occur in the given number of ways. Find the number of ways all of the events can occur.
Event A: 5 ways; Event B: 2 ways
would you just multiply 5 by 2? or do you have to do something more complex?
i'm just not sure what to do.
1 solutions
Answer 218156 by stanbon(57219) on 2010-05-14 18:42:56 (Show Source):
You can put this solution on YOUR website!this is the problem:
Each event can occur in the given number of ways. Find the number of ways all of the events can occur.
Event A: 5 ways; Event B: 2 ways
would you just multiply 5 by 2? or do you have to do something more complex?
i'm just not sure what to do
---
Yes, just multiply 5 by 2.
---
You can see this by creating a decision tree.
===================================================
Cheers,
Stan H.
|
Trigonometry-basics/304674: how do i solve cos theta minus 1 equals negative one
1 solutions
Answer 218155 by stanbon(57219) on 2010-05-14 18:31:33 (Show Source):
You can put this solution on YOUR website!solve cos theta minus 1 equals negative one
-------------------------
Let theta be "x"; (It's more convenient.)
--------------------
Equation:
cos(x) - 1 = -1
---
cos(x) = 0
---
x = (90+-180n)degrees, where n = 0,1,2,3,...
=============================================
Cheers,
Stan H.
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Length-and-distance/304672: given that two points on line m are P(7,11) and Q(12,9), write a ratio expressing the slope of m.
1 solutions
Answer 218153 by stanbon(57219) on 2010-05-14 18:25:51 (Show Source):
You can put this solution on YOUR website!given that two points on line m are P(7,11) and Q(12,9), write a ratio expressing the slope of m.
--------------------------------
slope = (9-11)/(12-7) = -2/5
=============================
Cheers,
Stan H.
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