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Recent problems solved by 'stanbon'
stanbon answered: 57222 problems
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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239, >>Next
real-numbers/179799: write each rational number in the form a/b where a and b are integers and b = 0.
a.) 0.3
b.)5 1/3
c.)0
d.)73
e.)-0.21
1 solutions
Answer 134716 by stanbon(57290)   on 2009-02-02 17:32:41 (Show Source):
You can put this solution on YOUR website!write each rational number in the form a/b where a and b are integers and b = 0.
a.) 0.3 = 3/10
b.)5 1/3 = 16/3
c.)0 = 0/1
d.)73 = 73/1
e.)-0.21 = -21/100
========================
Cheers,
Stan H.
|
Exponents-negative-and-fractional/179755: Please help me multiply these two fractions together.
y^2 -6y + 9 over 8 multiplied by 4y + 12 over y^2 -9.
1 solutions
Answer 134669 by stanbon(57290) on 2009-02-02 13:27:06 (Show Source):
You can put this solution on YOUR website![(y^2 -6y + 9) /8] * [(4y + 12) / (y^2 -9)]
Factor where you can:
[(y-3)^2/8] * [4(y+3)/(y-3)(y+3)]
Cancel any factor that is common to a numerator and a denominator,
such as (y-3), 4, (y+3) :
[1/2] * [1/1]
= 1/2
========================
Cheers,
Stan H.
|
Trigonometry-basics/179763: This question is from textbook
Find the reference angle R of the given angles. Give your answer to the nearest hundredth.
(a) 5
(b)-5
(c)3.5
(d)75
1 solutions
Answer 134665 by stanbon(57290) on 2009-02-02 13:20:18 (Show Source):
You can put this solution on YOUR website!Find the reference angle R of the given angles. Give your answer to the nearest hundredth.
(a) 5
Procedure: 5(180/pi) = 286.48 degrees
286-360 = -73.52
Referemce angle = 73.52 degrees = 1.283 radians
-------------------------------------------------------
(b)-5
-5(180/pi) = -286.48 degrees
286 + 360 = 73.72
-------------------------------------------------------
(c)3.5
3.5(180/pi) = 200.53 degrees
200.53 - 180 = 20.53
20.53(pi/180) = 0.3584..
============================
Cheers,
Stan H.
(d)75
|
Probability-and-statistics/179648: A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were
3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477
(a) Construct a 90 percent confidence interval for the true mean weight. (b) What sample size
would be necessary to estimate the true weight with an error of ± 0.03 grams with 90 percent confidence?
(c) Discuss the factors which might cause variation in the weight of Tootsie Rolls during
manufacture.
1 solutions
Answer 134652 by stanbon(57290) on 2009-02-02 12:54:12 (Show Source):
You can put this solution on YOUR website!A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were
3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477
x-bar = 3.305 ; s =0.132.. ; n= 10
-----------------------------------------
(a) Construct a 90 percent confidence interval for the true mean weight.
E = 1.645[0.132/sqrt(10)] = 0.069..
---
90% CI: 3.305-0.069 < u < 3.305+0.069
------------------------------------
(b) What sample size would be necessary to estimate the true weight with an error of ± 0.03 grams with 90 percent confidence?
n = [z*s/E]^2 = [1.645*0.132/0.03]^2 = 52.39; rounding up n = 53
------------------------------------
(c) Discuss the factors which might cause variation in the weight of Tootsie Rolls during manufacture.
humidity level; machine variability; manufacture tolerance
==============================================================
Cheers,
Stan H.
|
Probability-and-statistics/179742: 10.24 - 10.24 Below is a random sample of shoe sizes for 12 mothers and their daughters. (a) At α = .01, does this sample show that women’s shoe sizes have increased? State your hypotheses and show all steps clearly. (b) Is the decision close? (c) Are you convinced? (d) Why might shoe sizes change
over time? (See The Wall Street Journal, July 17, 2004.) Shoe Size 2
1 2 3 4 5 6 7 8 9 10 11 12
Daughter 8 8 7.5 8 9 9 8.5 9 9 8 7 8
Mother 7 7 7.5 8 8.5 8.5 7.5 7.5 6 8 7 7
1 solutions
Answer 134642 by stanbon(57290) on 2009-02-02 12:03:41 (Show Source):
You can put this solution on YOUR website!Below is a random sample of shoe sizes for 12 mothers and their daughters.
Daughter 8 8 7.5 8 9 9 8.5 9 9 8 7 8
d-bar = 8.25 ; s = 0.657
----
Mother 7 7 7.5 8 8.5 8.5 7.5 7.5 6 8 7 7
m-bar = 7.46 ; s = 0.721
----------
(a) At α = .01, does this sample show that women’s shoe sizes have increased? State your hypotheses and show all steps clearly.
Ho: ud-um = 0
Ha: ud-um < 0 (this for a right-tail test; you could reverse the inequality
and make a left tail test)
---
Critical Value: z = 2.326...
Test statistic: z(8.25-7.46) = (0.79)/sqrt[(0.657)^2/12 + (0.721)^2/12] = 2.81
p-value: P(z>2.81) = 0.0025
-------
Conclusion: Since p-value < 1%, reject Ho.
daughter's sizes are greater than mother's sizes
---------------------------------------------------------
(b) Is the decision close?
No. Less than (1/4) of 1% of test results could have provided stronger
evidence for rejecting Ho.
-----------
(c) Are you convinced?
Yes
----------------
(d) Why might shoe sizes change over time?
They don't; foot sizes change.
====================================
Cheers,
Stan H.
|
Exponents-negative-and-fractional/179694: I'm working on quadratic equations Equations and inequalities of one variable, in higher degree polynomial equations. Equation (5y-4)^-1/4 - 5(5y-4)^-4/3 =0. I understand that I must factor out (5y-4)^-4/3. I understand "factor out" as meaning to remove this from the equation. However, this results in (5y-4)^-4/3 ((5y-4)-4)=0, which I do not understand. Can someone explain what took place.
1 solutions
Answer 134625 by stanbon(57290) on 2009-02-02 07:51:34 (Show Source):
You can put this solution on YOUR website! (5y-4)^-1/4 - 5(5y-4)^-4/3 =0
(5y-4)^(-3/12) - 5(5y-4)^(-16/12) = 0
----
[(5y-4)^(-16/12)][(5y-4)^(-12/12) - 5] = 0
[(5y-4)^(-16/12)][(5y-4)^-1 - 5] = 0
Solve for "y":
(5y-4)^(-16/12) = 0 or (5y-4)^(-1) = 5
y cannot equal 4/5 because the exponent is negative:
-----------
Solve (5y-4)^-1 = 5
Invert to get:
5y-4 = 1/5
5y = (1/5)+4
5y = 21/5
y = 21/25
=================
Cheers,
Stan H.
|
Miscellaneous_Word_Problems/179718: A gold smith combined an alloy that costs $430 per gram with an alloy that costs $180 per gram. How many grams of each were used to make a mixture of 200 grams that cost $250 per gram?
1 solutions
Answer 134624 by stanbon(57290) on 2009-02-02 07:39:22 (Show Source):
You can put this solution on YOUR website!A gold smith combined an alloy that costs $430 per gram with an alloy that costs $180 per gram. How many grams of each were used to make a mixture of 200 grams that cost $250 per gram?
---
value + value = value
430x + 180(200-x) = 250*200
430x +180*200 - 180x = 250*200
250x = 70*200
x = 56 grams (amt. of $430 alloy in the mixture)
200-56 = 144 grams (amt. of $180 alloy in the mixture)
========================================================
Cheers,
Stan H.
|
Probability-and-statistics/179690: This question is from textbook Theoretical and Experimental Probability
Please you help me solve these problems.
How do you know?
Can you write everything that you solve its?
6.) What is the probability that a random 2-digit number (00-99) does not end in 5?
8.) A clerk has 4 different letters that need to go in 4 different envelopes. What is the probability that all 4 letters are placed in the correct envelopes?
Please answer me as soon as you could, Thank you.
1 solutions
Answer 134623 by stanbon(57290) on 2009-02-02 07:31:57 (Show Source):
You can put this solution on YOUR website!6.) What is the probability that a random 2-digit number (00-99) does not end in 5?
----
There are 100 numbers if you include 00.
# that do not end in 5?
10 ways to pick the tens digit
9 ways to pick the ones digit
So, 10*9 = 90 ways to have a two-digit number not ending in 5
---
Therefore P(2-digit not ending in 5) = 90/100 = 9/10
============================================================
8.) A clerk has 4 different letters that need to go in 4 different envelopes. What is the probability that all 4 letters are placed in the correct envelopes?
--
# of possible arrangements: 4! = 24
# of correct arrangements: 1
---
Probability of getting the right arrangement: 1/24
=====================================================
Cheers,
Stan H.
|
Probability-and-statistics/179654: Below are numbers of hours that a sample of 19ecent college graduates reported working last week.
42,63,43,44,39,64,51,66,58,52,53,41,50,61,45,65,54,61,60
construct a box-and-whisker plot for the data.
1 solutions
Answer 134607 by stanbon(57290) on 2009-02-01 22:24:24 (Show Source):
|
Probability-and-statistics/179649: In 1992, the FAA conducted 86,991 pre-employment drug tests on job applicants who were to be engaged in safety and security-related jobs, and found that 1,143 were positive. (a) Construct a 95 percent confidence interval for the population proportion of positive drug tests. (b) Why is the normality assumption not a problem, despite the very small value of p?
1 solutions
Answer 134604 by stanbon(57290) on 2009-02-01 22:18:20 (Show Source):
You can put this solution on YOUR website!In 1992, the FAA conducted 86,991 pre-employment drug tests on job applicants who were to be engaged in safety and security-related jobs, and found that 1,143 were positive. (a) Construct a 95 percent confidence interval for the population proportion of positive drug tests. (b) Why is the normality assumption not a problem, despite the very small value of p?
------------------------------
p-hat = 1143/86991 = 0.01316...
E = 1.96*sqrt[0.01316*0.98684../86991] = 0.0003863
--------------
95% CI: 0.01316-0.0003863 < p < 0.01316+0.0003863
====================================================
n is so large np > 5 and nq > 5.
Cheers,
Stan H.
|
Quadratic_Equations/179656: I know this isn't a quadratic equation, but it is stumping me none the less. I'd really appreciate any help I can get. Thanks,
solve;
10x^4-19x^3+6=0
1 solutions
Answer 134579 by stanbon(57290) on 2009-02-01 19:33:04 (Show Source):
You can put this solution on YOUR website!10x^4-19x^3+6=0
--------------------
Graph it:
-----------
I found a Real Number root at x = 0.82278 and x = 1.7965...
Cheers,
Stan H.
|
percentage/179655: how to breakdown the cost of a dollar cup of coffee into percentages representing a pie chart where percentages repesent how much of each dollar goes for rent.paper,food,utilities,payroll,advertising,profit,etc.
1 solutions
Answer 134577 by stanbon(57290) on 2009-02-01 19:15:32 (Show Source):
You can put this solution on YOUR website!Example:
cup of coffee: 1.50
orange juce: 2.00
danish: 2.50
-------------------------
Add them up to get 6.00
--------------------------
Convert each to a percentage:
coffee: 1.50/6.00 = 25%
orange juice: 2.00/6.00 = 33 1/3%
danish: 2.50/6.00 = 41 2/3%
--------------------------------
Draw the pie and estimate the percentage sectors; then label them.
=======================================
Cheers,
Stan H.
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Miscellaneous_Word_Problems/179644: This question is from textbook
A drug manufacturing company wants to manufacture a capsule that contains a spherical pill inside. The diameter of the pill is 4mm and the capsule is cylindrical, with hemispheres on either end. The length of the capsule between the two hemispheres is 10mm. Describe how we could find the exact volume the capsule will hold, excluding the volume of the pill. What is the value that you get from your calculation? Why is it important for us to be able to determine the exact volume of that capsule?
1 solutions
Answer 134574 by stanbon(57290) on 2009-02-01 19:00:28 (Show Source):
You can put this solution on YOUR website!A drug manufacturing company wants to manufacture a capsule that contains a spherical pill inside. The diameter of the pill is 4mm and the capsule is cylindrical, with hemispheres on either end. The length of the capsule between the two hemispheres is 10mm. Describe how we could find the exact volume the capsule will hold, excluding the volume of the pill. What is the value that you get from your calculation? Why is it important for us to be able to determine the exact volume of that capsule?
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The capsule is made of a cylinder plus tow hemispheres.
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Cylinder Volume:
radius = 2mm
base area = 4(pi) mm^2
height = 10 mm
Cylinder volume = 40pi mm^3
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2 hemisphere volume = 1 sphere volume
V = (4/3)pi*r^3
V = (4/3)pi*8 = (32/3)pi mm^3
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Total capsule volume = [(32/3) + (120/3)]pi mm^3 = (152/3)pi mm^3
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Cheers,
Stan H.
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Square-cubic-other-roots/179635: please help!
In a right triangle, find the length of the side not given
a=? b=1 c= sqr.root of 5
I'm totally stuck!
Thanks,
1 solutions
Answer 134567 by stanbon(57290) on 2009-02-01 18:44:01 (Show Source):
You can put this solution on YOUR website!In a right triangle, find the length of the side not given
a=? b=1 c= sqr.root of 5
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Since c^2 = a^2 + b^2
a^2 = c^2 - b^2
a^2 = (sqrt(5))^2 - 1^2
a^2 = 5 - 1
a = 2
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Cheers,
Stan H.
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Miscellaneous_Word_Problems/179591: This question is from textbook
84. Rabies vaccination- The game comission plane, flying at 1100 feet, drops oral rabies vaccinations pellets into the game preserve.
a. find the position equation of the model height of the vaccination pellets.
b. the plane is flying at 95 miles per hour. how far will the pellets travel horizontally during its decent?
1 solutions
Answer 134565 by stanbon(57290) on 2009-02-01 18:33:44 (Show Source):
You can put this solution on YOUR website!84. Rabies vaccination- The game comission plane, flying at 1100 feet, drops oral rabies vaccinations pellets into the game preserve.
a. find the position equation of the model height of the vaccination pellets.
h(t) = -16t^2 + 1100
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b. the plane is flying at 95 miles per hour. how far will the pellets travel horizontally during its decent?
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Time before it hits the ground:
-16t^2 + 1100 = 0
t^2 = 1100/16
t = (sqrt(1100))/4 = 8.2916 seconds
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Horizontal distance at 95 mph for 8.2916 seconds
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95 mph = 95/(3600) miles per second
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Horizontal distance will be (95/3600)*8.2916 = 0.2188 miles
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Cheers,
Stan H.
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Quadratic_Equations/179618: The Hudson River flows at a rate of 5 miles per hour. A patrol boat travels 40 miles upriver , and returns in a total time of 6 hours. What is the speed of the boat in still water?
I have figured the distance is 40 miles with a speed of r-5 upstream and r in still water, and the total time is 6 hours but I still can not figure out how to write the equation and solve it.
1 solutions
Answer 134564 by stanbon(57290) on 2009-02-01 18:09:11 (Show Source):
You can put this solution on YOUR website!The Hudson River flows at a rate of 5 miles per hour. A patrol boat travels 40 miles upriver , and returns in a total time of 6 hours. What is the speed of the boat in still water?
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Upriver DATA:
distance = 40 miles ; rate = b - 5 ; time = d/r = 40/(b-5)
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Downriver DATA:
distance = 40 miles : rate = b + 5 ; time = 40/(b+5)
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Equation:
time + time = 6 hrs
40/(b-5) + 40/(b+5) = 6
40(b+5) + 40(b-5) = 6(b^2-25)
80b = 6b^2 - 150
Rearrange:
3b^2 - 40b -150 = 0
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positive solution:
b = [40 + sqrt(40^2 - (4*3*-150)]/6
b = 23.05 mph (boat speed in still water)
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Cheers,
Stan H.
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Complex_Numbers/179623: can u help me with these exercises?
1.3+i√5/3-i√5
2.4-i√2/i√2
1 solutions
Answer 134561 by stanbon(57290) on 2009-02-01 17:51:18 (Show Source):
You can put this solution on YOUR website!1.3+i√5/3-i√5
Is that (1/3)sqrt(5) or sqrt[5/3] ?
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2.4-i√2/i√2
Use parentheses so we can tell where numerators and denominators begin and end.
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Cheers,
Stan H.
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Probability-and-statistics/172469: This question is from textbook a survey of mathematics with applications
a 10 question multiple choice exam is given, and each questions has 5 possible answers. Pascal Gonyo takes this exam and guesses at every question. use the binomial probability formula to determine the probability (to 5 decimal places) that
a. he gets exactly 2 questions correct
b. he gets no questions correct
c. he gets at least one question correct ( use information from part b)to answer this part
d. he gets at least 9 questions correct
e. without using the binomial probability formula, determine the probability that he gets exactly 2 questions correct
f. compare your answers to parts a and e. if they are not the same exaplain why
1 solutions
Answer 134560 by stanbon(57290) on 2009-02-01 17:46:29 (Show Source):
You can put this solution on YOUR website!a 10 question multiple choice exam is given, and each questions has 5 possible answers. Pascal Gonyo takes this exam and guesses at every question. use the binomial probability formula to determine the probability (to 5 decimal places) that
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All the problems are binomial with p = 1/2 and q = 1/2
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a. he gets exactly 2 questions correct
Ans: 10C2 (1/2)^10 = 45/2^10
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b. he gets no questions correct
Ans: q^10 = 1/2^10
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c. he gets at least one question correct ( use information from part b)to answer this part
Ans: 1 - p(no correct answers) = 1 - (1/2)^10
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d. he gets at least 9 questions correct
Ans 10C9*(1/2)^10 - (1/2)^10 = 10(1/2)^10 - (1/2)^10 = 9*(1/2)^10
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e. without using the binomial probability formula, determine the probability that he gets exactly 2 questions correct
Ans: 10C2(1/2)^10
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f. compare your answers to parts a and e. if they are not the same exaplain why
Ans: OK
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Cheers,
Stan H.
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Probability-and-statistics/176058: A sample of 25 concession stand purchases at the October 22 matinee of Bride of Chucky showed a mean purchase of $5.29 with a standard deviation of $3.02. For the October 26 evening showing of the same movie, for a sample of 25 purchases the mean was $5.12 with a standard deviation of $2.14. The means appear to be very close, but not the variances. At α = .05, is there a difference in variances? Show all steps clearly, including an illustration of the decision rule. (Data are from a project by statistics students Kim Dyer, Amy Pease, and Lyndsey Smith.)
1 solutions
Answer 134550 by stanbon(57290) on 2009-02-01 16:46:56 (Show Source):
You can put this solution on YOUR website!A sample of 25 concession stand purchases at the October 22 matinee of Bride of Chucky showed a mean purchase of $5.29 with a standard deviation of $3.02. For the October 26 evening showing of the same movie, for a sample of 25 purchases the mean was $5.12 with a standard deviation of $2.14. The means appear to be very close, but not the variances. At α = .05, is there a difference in variances? Show all steps clearly, including an illustration of the decision rule
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Ho: variance matinee = variance evening
Ha: they are not equal
Run 2-Sample F-Test to get:
Test Stat: F = 1.9915...
p-value: 0.09811...
df numerator = 24 = df denominator
Critical Value: F(right) = 2.23 ; F(left)= 1/2.33 = 0.448..
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Conclusion: Since p-value is greater than 5%, Fail to reject Ho.
The variances are not statistically different.
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Cheers,
Stan H.
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Miscellaneous_Word_Problems/179588: 82. sports- You throw a baseball straight up into the air a a velocity of 45 feet per second. you release the baseball at a height of 5.5 feet and catch it when it falls back to a height of 6 feet.
a. use the position equation to write a mathematical model for the height of the baseball.
b. find the height of the baseball after 0.5 second.
c. How many seconds is the baseball in the air (use a graphing utility to verify the answer.)
1 solutions
Answer 134543 by stanbon(57290) on 2009-02-01 16:20:52 (Show Source):
You can put this solution on YOUR website!You throw a baseball straight up into the air a a velocity of 45 feet per second. you release the baseball at a height of 5.5 feet and catch it when it falls back to a height of 6 feet.
a. use the position equation to write a mathematical model for the height of the baseball.
h(t) = -16t^2 + 45t + 5.5
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b. find the height of the baseball after 0.5 second.
h(0.5) = -16(0.5)^2 + 45(0.5) + 5.5 = 24 ft.
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c. How many seconds is the baseball in the air (use a graphing utility to verify the answer.)
-16t^2 + 45t + 5.5 = 0
Use the quadratic formula to get:
t = [-45 +- sqrt(45^2 - 4*-16*5.5)]/-32
Positive solution:
t = [-45 - sqrt(2377)]/-32
t = 2.93 seconds
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Cheers,
Stan H.
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Linear-systems/179593: Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is "no solution" or "infinitely many solutions" and state how you arrived at that conclusion.
4x + 10y = 2
3x + 5y = 5
1 solutions
Answer 134538 by stanbon(57290) on 2009-02-01 16:00:13 (Show Source):
You can put this solution on YOUR website!4x + 10y = 2
3x + 5y = 5
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Multiply 2nd by -2 to get:
4x + 10y = 2
-6x -10y = -10
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Add to get:
-2x = -8
x = 4
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Substitute to solve for "y":
4*4 + 10y = 2
10y = -14
y = -7/5
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Cheers,
Stan H.
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Length-and-distance/179595: Select the equations of the line passing through (0,5)
a) y=6x+2
b) y=6x+5
c) y=5x+5
d) y=5x+6
Explain why or you came to your answer?
1 solutions
Answer 134536 by stanbon(57290) on 2009-02-01 15:55:59 (Show Source):
You can put this solution on YOUR website!Select the equations of the line passing through (0,5)
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Put "0" in place of x and solve for "y":
a) y=6x+2 ; y = 0+2 so does not pass thru (0,5)
b) y=6x+5 : y = 0+5 so does
c) y=5x+5 : y = 0+5 so does
d) y=5x+6 : y = 0+6 do does not
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Cheers,
Stan H.
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Expressions-with-variables/179603: Amelia's parents and grandparents have both opened savings accounts to save for Amelia's education. This year, Amelia's parents' savings account earned 5% interest and her grandparent's account earned 8% interest. This year, the two savings accounts have earned a total of $460 in interest. At the beginning of the year, the two accounts were worth a total of $6500. Determine the current value of both saving accounts. Show all work necessary to justify your answer.
I am not sure how to break down this problem in order to get the answer. I realize it is two parts.
a+b=$460
x+y=$6960
1 solutions
Answer 134532 by stanbon(57290) on 2009-02-01 15:50:52 (Show Source):
You can put this solution on YOUR website!Amelia's parents and grandparents have both opened savings accounts to save for Amelia's education. This year, Amelia's parents' savings account earned 5% interest and her grandparent's account earned 8% interest. This year, the two savings accounts have earned a total of $460 in interest. At the beginning of the year, the two accounts were worth a total of $6500. Determine the current value of both saving accounts. Show all work necessary to justify your answer.
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Equation:
interext + interest = interest
Amelia's parents and grandparents have both opened savings accounts to save for Amelia's education. This year, Amelia's parents' savings account earned 5% interest and her grandparent's account earned 8% interest. This year, the two savings accounts have earned a total of $460 in interest. At the beginning of the year, the two accounts were worth a total of $6500. Determine the current value of both saving accounts. Show all work necessary to justify your answer.
0.05x + 0.08(6500-x) = 460
Multiply thru by 100 to get:
5x + 8(6500-x) = 46000
-3x + 8*6500 = 46000
-3x = -6000
x = $2000 (amt. invested at 5%)
6500-2000 = $4500 (amt. invested at 8%)
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Cheers,
Stan H.
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Quadratic_Equations/179605: Find all real solutions of the quadratic equation. (Enter NONE if a solution does not exist.)
x^2- + 3= 0
i subtracted 3 and x^2 to the other side to isolate the radical
-= -x^2-3
then i squared both sides of the equation to get rid of the radical and got
13x= x^4+6x^2+9 i then subtracted 13x to get all the variables on one side
x^4+6x^2-13x+9=0 i don't know how to solve the rest of the problem. I tried moving the 9 to the other side then factoring out an x and trying to factor the rest of the problem but didn't work i also tried completing the square that didn't work either
1 solutions
Answer 134529 by stanbon(57290) on 2009-02-01 15:44:29 (Show Source):
You can put this solution on YOUR website!Find all real solutions of the quadratic equation. (Enter NONE if a solution does not exist.)
x^2- + 3= 0
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x^2 - sqrt(13x) + 3 = 0
I graphed it and found it has no Real Number solution.
Cheers,
Stan H.
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Linear-equations/179607: Please help me get this concept please anyone!!!!
I am working with slopes and the issue I have is finding slopes when you are only given an equation
x=-3y
I know that we have to rewrite the equation is slope\intercept (y=mx+b) form and that is where I have the trouble
Any help at all would be greatly appreciated!
1 solutions
Answer 134525 by stanbon(57290) on 2009-02-01 15:37:30 (Show Source):
You can put this solution on YOUR website!I am working with slopes and the issue I have is finding slopes when you are only given an equation
x=-3y
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Put it in slope-intercept form:
Multiply both sides by (-1/3) to get:
y = (-1/3)x
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slope = -1/3 ; intercept = 0
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Cheers,
Stan H.
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Probability-and-statistics/179596: Combinations
A box of colored crayons contains 12 distinct colors. In how many ways can 2 colors be chosen, assuming that the order of the colors chosen doesn't matter?
1 solutions
Answer 134523 by stanbon(57290) on 2009-02-01 15:27:14 (Show Source):
You can put this solution on YOUR website!A box of colored crayons contains 12 distinct colors. In how many ways can 2 colors be chosen, assuming that the order of the colors chosen doesn't matter?
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12C2 = [12*11]/[1*2] = 66
Cheers,
Stan H.
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Probability-and-statistics/176639: In a bumper test, three types of autos were deliberately crashed into a barrier at 5mph and the resulting damage in dollars was estimated. Five test vehicles of each type were crashed with results below showing. Are the mean crash DAMAGES THE SAME FOR THESE THREE VEHICLES ?
CRASH DAMAGES:
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 134514 by stanbon(57290) on 2009-02-01 13:20:06 (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 5mph and the resulting damage in dollars was estimated. Five test vehicles of each type were crashed with results below showing. Are the mean crash DAMAGES THE SAME FOR THESE THREE VEHICLES ?
CRASH DAMAGES:
GOLIATH vARMINT WEASEL
1,600 1,d290 1,090
760 1,400 2,100
880 1,390 1,830
1,950 1,850 1,250
1,220 950 1,920
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You are comparing three means so run an ANOVA program against the 5x3 data matrix.
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Ho: the three means are all equal
Ha: at least one of the means is different
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Test Stat: F= 0.93665...
p-value: 0.4188..
Factor df = 2
Error df = 12
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Conclusion:
Since p-value is greater than 5% Fail to Reject Ho.
The means are statistically equal.
There is no great difference in bumper-damage repair costs for these
three models.
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Cheers,
Stan H.
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Triangles/179556: Hi in math class we are doing stuff with triangles. Here is my word problem: Scott wants to swim across a river that is 400 meters wide. He begins swimming perpendicular to the shore he started from but ends up 100 meters down river from where he started because of the current. How far did he actually swim from his starting point?
Thank you so much!
1 solutions
Answer 134501 by stanbon(57290) on 2009-02-01 10:39:15 (Show Source):
You can put this solution on YOUR website!Scott wants to swim across a river that is 400 meters wide. He begins swimming perpendicular to the shore he started from but ends up 100 meters down river from where he started because of the current. How far did he actually swim from his starting point?
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Draw the picture.
You have a right triangle and you want to find the length of the hypotenuse.
h = sqrt[400^2 + 100^2]
h = sqrt[160000 + 10000]
h = 412.31 meters
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Cheers,
Stan H.
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Quadratic_Equations/179557: T= -0.2x^2+12x+11
the questions are:
what is the point of the vertex? what do the soulations represent?
1 solutions
Answer 134500 by stanbon(57290) on 2009-02-01 10:35:17 (Show Source):
You can put this solution on YOUR website!T= -0.2x^2+12x+11
the questions are:
what is the point of the vertex? what do the solutions represent?
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Vertex occurs where x = -b/2a = -12/(2*-0.2) = -12/-0.4 = 30
Then T(30) = -0.2(30)^2 + 12(30) + 11 = 191
Vertex(30,191)
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Solutions are values of "x" that satisfy the equation
-0.2x^2+12x+11 = 0
They are the point(s) where the graph of the equation
crosses the x-axis.
=========================
Cheers,
Stan H.
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