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stanbon answered: 57888 problems
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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239 , 57240..57269 , 57270..57299 , 57300..57329 , 57330..57359 , 57360..57389 , 57390..57419 , 57420..57449 , 57450..57479 , 57480..57509 , 57510..57539 , 57540..57569 , 57570..57599 , 57600..57629 , 57630..57659 , 57660..57689 , 57690..57719 , 57720..57749 , 57750..57779 , 57780..57809 , 57810..57839 , 57840..57869 , 57870..57899, >>NextPermutations/565624: how many 4-digit sequences can be formed using the digits 0,1,2,3,4,5,6?
1 solutions
Answer 365885 by stanbon(57961)   on 2012-01-31 16:43:09 (Show Source):
You can put this solution on YOUR website!how many 4-digit sequences can be formed using the digits 0,1,2,3,4,5,6?
Ans: 7P4 = 7!/(3!) = 7*6*5*4 = 840 sequences
==================
Cheers,
Stan H.
==================
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Systems-of-equations/565619: Use the system to answer the question
{x+3y=6}
{4x + 6y = -6}
Note: The problem above are both under the { symbol, the first one is over the second one.
These are the choices for the problem
(-9, 5)
(-3, 3)
(6, 3)
(12, -2)
I'm not sure how I got it wrong. The correct answer was the first one. (I have the answers, so I can redo the ones I missed, but I have to show my work, and I don't know how to get that answer.) Could you look over my work that I did and explain how to get the solution? Thanks, much appreciated.
My Work:
{x+3y=6}
{4x + 6y = -6}
1. I multiply the first equation by -4 so I can eliminate the 4x
(-4) {x+3y=6} + {-4x -12y = -24}
2. I eliminate the 4x from the problem
{-4x - 12y = -24}
{4x + 6y = -6}
(-4 and 4 crosses out so I'm left with"
0x - 12y = -24
0x + 6y = -6
3. Then I solve:
-12 and a + 6 gets a -6. -24 and -6 gets -18
so I get 0x -6y = -18
From there I am stuck. I'm not sure if I use substitution or elimination or what.
Thanks for your help!
1 solutions
Answer 365884 by stanbon(57961) on 2012-01-31 16:41:28 (Show Source):
You can put this solution on YOUR website!{x+3y=6}
{4x + 6y = -6}
----------------
Multiply thru the 1st equation by 2:
2x + 6y = 12
4x + 6y = -6
----------------------
Subtract and solve for "x":
2x = -18
x = -9
---------------
Solve for "y":
x + 3y = 6
-9 + 3y = 6
3y = 15
y = 5
-------------------
Solution: (-9,5)
====================
Cheers,
Stan H.
These are the choices for the problem
(-9, 5)
(-3, 3)
(6, 3)
(12, -2)
|
Quadratic_Equations/565617: I have to come up with an quadratic equation with the solutions of:
x=-3
x=0
x=5
I am confused because I was no aware of a solution being a negative number, or quadratic equation having 3 soultions. I am speechless on how to come up with an quadratic equation. Could you please help me?
1 solutions
Answer 365883 by stanbon(57961) on 2012-01-31 16:36:30 (Show Source):
You can put this solution on YOUR website!I have to come up with an quadratic equation with the solutions of:
x=-3
x=0
x=5
I am confused because I was no aware of a solution being a negative number, or quadratic equation having 3 soultions. I am speechless on how to come up with an quadratic equation. Could you please help me?
-----
You are correct in saying a quadratic equation cannot have 3 solutions.
---
You are wrong in saying it cannot have a negative solution.
Y = x^2+5x+6 has 2 negative solutions:
Factor:
(x+3)(x+2) = 0
-----------------------
x = -3 or x = -2
=======================
Cheers,
Stan H.
=======================
|
Probability-and-statistics/565575: What is the probability that a mother will recieve a gift of flowers or plants? Write the probability as a fraction.
Use the graph
card - 79%, flowers/plants - 52%, dinner/brunch - 23%, gradening items - 22%
apparel - 19%, jewelry - 17%, home decor - 11%
Out of 400 mothers that reciee gifts, predict how many will receive flowers or plant.
1 solutions
Answer 365874 by stanbon(57961) on 2012-01-31 15:51:06 (Show Source):
You can put this solution on YOUR website!What is the probability that a mother will receive a gift of flowers or plants? Write the probability as a fraction.
---------------------
Use the graph
card - 79%, flowers/plants - 52%, dinner/brunch - 23%, gradening items - 22%
apparel - 19%, jewelry - 17%, home decor - 11%
--------------
It looks like you posted the answer to your own question: 52%
-----------------------
Out of 400 mothers that receive gifts, predict how many will receive flowers or plant.
---------------
Ans: 0.52*400 = 208
=========================
Cheers,
Stan H.
==============
|
Probability-and-statistics/565523: A fast food restaurant gives away a toy with each children's meal. There are 4 different toys given away randomly. How many meals will the family have to buy to get all 4 toys?
What is the probability involved? (I think it is (1/4)^4 or 1/256, but am I wrong? Is it 4C1 or 1/6?)
Would the family have to buy 4! meals?
1 solutions
Answer 365873 by stanbon(57961) on 2012-01-31 15:47:44 (Show Source):
You can put this solution on YOUR website!A fast food restaurant gives away a toy with each children's meal. There are 4 different toys given away randomly. How many meals will the family have to buy to get all 4 toys?
What is the probability involved? (I think it is (1/4)^4 or 1/256, but am I wrong? Is it 4C1 or 1/6?)
Would the family have to buy 4! meals?
-------
Comment: There is no answer to that question.
Cheers,
Stan H.
=========
|
Percentage-and-ratio-word-problems/565558: A softball team won 84% of the games they played last season. If they played 25 games, how many games did they win?
1 solutions
Answer 365871 by stanbon(57961) on 2012-01-31 15:35:17 (Show Source):
You can put this solution on YOUR website!A softball team won 84% of the games they played last season. If they played 25 games, how many games did they win?
-------------------------------------------------
Ans: 0.84*25 = 21 wins
==========================
Cheers,
Stan H.
===========
|
Rectangles/565554: A triangle has a base of X + 3, the height is X + 6 and the area is 135.
Find X ________, Base ________ Ht _________
Please be specific.
1 solutions
Answer 365869 by stanbon(57961) on 2012-01-31 15:32:26 (Show Source):
You can put this solution on YOUR website!A triangle has a base of X + 3, the height is X + 6 and the area is 135.
Find X ________, Base ________ Ht _________
----------------
Area = (1/2)base*height
135 = (1/2)*(x+3)(x+6)
270 = x^2+9x+18
x^2+9x-252 = 0
----
Factor:
(x-12)(x+21) = 0
-------
Positive solution:
x = 12
Base = x+3 = 15
Height = x+6 = 18
======================
Cheers,
Stan H.
=================
|
Pythagorean-theorem/565556: one adjacent is 12cm, the other is x. The hypotenuse is x+8. What is x? I can work it out by trial and error and get the answer 5, but how do I get it using algebra?
1 solutions
Answer 365865 by stanbon(57961) on 2012-01-31 15:24:16 (Show Source):
You can put this solution on YOUR website!one adjacent is 12cm, the other is x. The hypotenuse is x+8. What is x?
----------------
Equation:
(x+8)^2 = 12^2 + x^2
-----
x^2 + 16x + 64 = 144 + x^2
16x = 80
x = 5
=================
Cheers,
Stan H.
=================
|
Travel_Word_Problems/565547: 10. The Purdue special train is driving to a city that is hosting a Purdue sporting event. The Special leaves campus at 10:00AM and is travelling at a constant rate of 40 miles per hour. A car full of fans leaves campus at 11:30 AM and travels the same route at a constant rate of 70 miles per hour. At what time will the car catch up with the Special?
1 solutions
Answer 365862 by stanbon(57961) on 2012-01-31 15:19:47 (Show Source):
You can put this solution on YOUR website!The Special leaves campus at 10:00AM and is travelling at a constant rate of 40 miles per hour. A car full of fans leaves campus at 11:30 AM and travels the same route at a constant rate of 70 miles per hour. At what time will the car catch up with the Special?
------
Special DATA:
rate = 40 mph ; time = x hrs ; distance = 40x miles
----
Fan DATA:
rate = 70 mph ; time = (x-(3/2)) hrs ; distance = 70(x-(3/2)) miles
---------------------
Equation:
distance = distance
40x = 70(x-(3/2))
40x = 70x - 105
30x = 105
x = 3.5 hrs
---
Catch-up time would be 10AM + 3 1/2 hrs = 1:30 PM
====================================================
Cheers,
Stan H.
====================
|
Exponential-and-logarithmic-functions/565529: Please Help with this. My teacher did not explain how to do these problems.
Use the formula D^3 = 216T^2
1. Find what happens to the duration of a storm if its diameter is doubled.
2. determine how long a storm will last if it has a diameter of 10 mi.
Thank you so much.
1 solutions
Answer 365851 by stanbon(57961) on 2012-01-31 14:56:24 (Show Source):
You can put this solution on YOUR website!Use the formula D^3 = 216T^2
1. Find what happens to the duration of a storm if its diameter is doubled.
T = sqrt[D^3/216]
-----------------------
Find "T" when D is doubled:
T = sqrt[(2D)^3/216]
T = sqrt(8D^3/216]
T = (2sqrt(2)
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Miscellaneous_Word_Problems/565530: I am having a hard time with this word problem i know that it is D=R*T just can't set it up!! Here goes Cara can shovel the snow from her driveway in 25min.Therease can do the smae job in 30min. How long would it take cara and Teresa to shovel the driveway if they worked toghter?
1 solutions
Answer 365845 by stanbon(57961) on 2012-01-31 14:45:58 (Show Source):
You can put this solution on YOUR website!Cara can shovel the snow from her driveway in 25min.Therease can do the smae job in 30min. How long would it take cara and Teresa to shovel the driveway if they worked toghter?
----
The problem has nothing to do with D = RT
------
Cara rate = 1/25 job/min
Theresa rate = 1/30 job/min
-----
Together rate = 1/x job/min
------
Equation:
rate + rate = together rate
1/25 + 1/30 = 1/x
(30+25)/(25*30) = 1/x
x = (25*30)/(30+25)
x = 13.64 minutes (time for them to do the job together)
=================
Cheers,
Stan H.
=================
|
Expressions-with-variables/565524: Solve by the substitution method.
4m + n = 33
m - 7n = 30
1 solutions
Answer 365840 by stanbon(57961) on 2012-01-31 14:41:18 (Show Source):
You can put this solution on YOUR website!Solve by the substitution method.
4m + n = 33
m - 7n = 30
----------------
m = 7n+30
---
Substitute for "m" and solve for "n":
4(7n+30) + n = 33
28n + 120 + n = 33
29n + 120 = 33
29n = -87
n = -3
--------
Solve for "m":
m = 7n+30
m = 7(-3)+30
m = 9
----------------
Cheers,
Stan H.
|
Probability-and-statistics/565264: If there is one defective screw out of every 80 that are made . How many screws would be defective if 5600 are made
1 solutions
Answer 365827 by stanbon(57961) on 2012-01-31 14:06:15 (Show Source):
You can put this solution on YOUR website!If there is one defective screw out of every 80 that are made . How many screws would be defective if 5600 are made
-----------------
Binomial with n = 5600 and p(defective) = 1/80
---------------------
E(x) = (1/80)*5600 = 70
---------------------
Cheers,
Stan H.
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Probability-and-statistics/565501: A multiple-choice test has 20 questions. There are four choices for each question. A student comes to class with four different colored balls of identical shape and size in her pocket. She has decided to draw one ball from her pocket per question and allow the color of the ball to select the answer for each question. What type of probability distribution can be used to figure out her chance of getting 10 questions right?
1 solutions
Answer 365825 by stanbon(57961) on 2012-01-31 14:02:09 (Show Source):
You can put this solution on YOUR website!A multiple-choice test has 20 questions. There are four choices for each question. A student comes to class with four different colored balls of identical shape and size in her pocket. She has decided to draw one ball from her pocket per question and allow the color of the ball to select the answer for each question. What type of probability distribution can be used to figure out her chance of getting 10 questions right?
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Ans: Binomial Distribution
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Cheers,
Stan H.
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Probability-and-statistics/565269: A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10
workers on the graveyard shift. A quality control consultant is to select 6 of these workers for in
depth interviews. Suppose the selection is made in such a way that any particular group of 6
workers has the same chance of being selected as does any other group (drawing 6 slips without
replacement from among 45). What is the probability that at least two different shifts will be
represented among the selected workers?
1 solutions
Answer 365819 by stanbon(57961) on 2012-01-31 13:46:46 (Show Source):
You can put this solution on YOUR website!A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10
workers on the graveyard shift. A quality control consultant is to select 6 of these workers for in
depth interviews. Suppose the selection is made in such a way that any particular group of 6
workers has the same chance of being selected as does any other group (drawing 6 slips without
replacement from among 45). What is the probability that at least two different shifts will be
represented among the selected workers?
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P(at least 2 shifts) = 1 - P(1 shift represented)
= 1 - [20C6 + 15C6 + 10C6]/45C6
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= 1 - [43975/8145060]
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= 0.9946
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Cheers,
Stan H.
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Probability-and-statistics/565279: Determine P97, the ninety-seventh percentile of the standard normal distribution. Fine the z so that the area below is 0.9700.
1 solutions
Answer 365787 by stanbon(57961) on 2012-01-31 08:57:44 (Show Source):
You can put this solution on YOUR website!Determine P97, the ninety-seventh percentile of the standard normal distribution. Fine the z so that the area below is 0.9700.
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invNorm(0.97) = 1.8808
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Cheers,
Stan H.
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Probability-and-statistics/565281: The length of time a customer must wait in line at the post office has approximately a normal distribution with a mean of 5.8 minutes and a standard deviation of 2.6 minutes. Find the probability that a customer will wait between 4 and 8 minutes?
1 solutions
Answer 365786 by stanbon(57961) on 2012-01-31 08:56:11 (Show Source):
You can put this solution on YOUR website!The length of time a customer must wait in line at the post office has approximately a normal distribution with a mean of 5.8 minutes and a standard deviation of 2.6 minutes. Find the probability that a customer will wait between 4 and 8 minutes?
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z(4) = (4-5.8)/2.6 = -0.6923
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z(8) = (8-5.8)/2.6 = 0.8462
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P(4 < x < 8) = P(-0.6923 < z < 0.8462) = 0.7556
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Cheers,
Stan H.
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Probability-and-statistics/565331: a bag contains 3 red &7blue balls two balls are drawn at random without replacement if second selection is given to be red find probability that first is also red
1 solutions
Answer 365785 by stanbon(57961) on 2012-01-31 08:51:37 (Show Source):
You can put this solution on YOUR website!a bag contains 3 red &7blue balls two balls are drawn at random without replacement if second selection is given to be red find probability that first is also red
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If 2nd is red, when there is no replacement after 1st,
probability that 1st is red is 2/10 = 1/5
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Cheers,
Stan H.
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Probability-and-statistics/565378: A box contains 3 red balls and 4 green balls. If two balls are randomly selected in sequence, what is the possibility that a red ball and a green ball are picked out of the box. State the rule for P(A&B) and then substitute the values and compute the answer.
1 solutions
Answer 365784 by stanbon(57961) on 2012-01-31 08:46:34 (Show Source):
You can put this solution on YOUR website!A box contains 3 red balls and 4 green balls. If two balls are randomly selected in sequence, what is the possibility that a red ball and a green ball are picked out of the box.
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# of red/green pairs: 3*4 = 12
# of random pairs: 7C2 = (7*6)/(1*2) = 21
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P(red/greed pair) = 12/21 = 4/7
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Cheers,
Stan H.
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Probability-and-statistics/565398: If two dice are thrown and each face is equally likely to turn up find the probability of at least 7 dots in total. Please show me how you get the answer
1 solutions
Answer 365783 by stanbon(57961) on 2012-01-31 08:44:13 (Show Source):
You can put this solution on YOUR website!If two dice are thrown and each face is equally likely to turn up find the probability of at least 7 dots in total. Please show me how you get the answer
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Total # of results: 6*6 = 36
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7-pairs: 1/6 ; 2/5 ; 3/4 ; 4/3 ; 5/2 ; 6/1
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P(sum = 7) = (# of 7-pairs)/(total # of pairs) = 6/36 = 1/6
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Cheers,
Stan H.
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Parallelograms/565384: The measure of one angle of a parallelogram is 39. Which of theses
is the measure of another angel in the
Parallelogram
A. 51
B. 141
C. 107
D. 282
1 solutions
Answer 365782 by stanbon(57961) on 2012-01-31 08:41:06 (Show Source):
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logarithm/565397: Every £1 of money invested in a savings scheme continuously gains interest at a rate of 4% per year. Hence, after x years, the total value of an initial£1 investment is £y, where y = 1.04^x.
(a) Calculate, to the nearest £, the total value of an initial £800 investment after 10 years ?
(b) Use logarithms to find the number of years it takes to double the total value of any initial investment ?
1 solutions
Answer 365781 by stanbon(57961) on 2012-01-31 08:38:20 (Show Source):
You can put this solution on YOUR website!Every £1 of money invested in a savings scheme continuously gains interest at a rate of 4% per year. Hence, after x years, the total value of an initial£1 investment is £y, where y = 1.04^x.
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(a) Calculate, to the nearest £, the total value of an initial £800 investment after 10 years ?
A(10) = 800*1.04^10 = $1184.20
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(b) Use logarithms to find the number of years it takes to double the total value of any initial investment ?
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Solve: 2 = 1*1.04^x
1.04^x = 2
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x(log(1.04) = log(2)
--
x = log(2)/log(1.04)
x = 17.67 years
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Cheers,
Stan H.
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