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Recent problems solved by 'stanbon'
stanbon answered: 57208 problems
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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, >>NextNumbers_Word_Problems/353109: There were 690 documents checked. 31 documents had errors caused by operators. What percentage of this audit is operator errors?
1 solutions
Answer 252329 by stanbon(57276)   on 2010-10-07 09:14:28 (Show Source):
You can put this solution on YOUR website! There were 690 documents checked. 31 documents had errors caused by operators. What percentage of this audit is operator errors?
--------------
x/100 = 31/690
x/100 = 0.0449
x = 4.49%
================
Cheers,
Stan H.
|
Probability-and-statistics/353102: a telephone poll of 758 Arizona adults who celebrate Christmas. Question asked was do you open presents on Christmas Eve or Christmas Day. Of those surveyed, 394 said they wait until Christmas Day.
a. Determine the sample proportion.
b. At the 5% significance level, do the data provide sufficient evidence to conclude that the majority of Arizona families who celebrate Christmas wait until Christmas Day to open their presents?
Any help you can give me will be very appreciated.
1 solutions
Answer 252314 by stanbon(57276) on 2010-10-07 08:13:20 (Show Source):
You can put this solution on YOUR website! a telephone poll of 758 Arizona adults who celebrate Christmas. Question asked was "Do you open presents on Christmas Eve or Christmas Day?". Of those surveyed, 394 said they wait until Christmas Day.
a. Determine the sample proportion.:::394/758 = 0.5198
-----------------------------
b. At the 5% significance level, do the data provide sufficient evidence to conclude that the majority of Arizona families who celebrate Christmas wait until Christmas Day to open their presents?
----
Ho: p <= 1/2
Ha: p > 1/2
-----
p-hat = 0.5198
test statistic: z(0.5198) = (0.5198-0.5)/sqrt[(1/2)(1/2)/758] = 2.1805
----
p-value: P(z> 2.1805) = 0.0146
----------------
Conclusion: Since the p-value is less than 5%, reject Ho.
The test results do not support Ho.
There is some evidence that most wait till Christmas Day.
==========================================
Cheers,
Stan H.
========
|
Probability-and-statistics/353099: Three fair dice, one white, one red and one black, are tossed and the number of spots on the top faces are noted. Which of the following have probability 1/4 :
(a) The red die is a six or the black die is even.
(b) All three numbers are even.
(c) The red die is even and the black die is 4 or more.
(d) Exactly two of the three numbers are equal.
(e) None of the above
1 solutions
Answer 252313 by stanbon(57276) on 2010-10-07 08:03:18 (Show Source):
You can put this solution on YOUR website!Three fair dice, one white, one red and one black, are tossed and the number of spots on the top faces are noted. Which of the following have probability 1/4 :
----
There are 6^3 = 216 possible outcomes
--------------------------
(a) The red die is a six or the black die is even.
Ways to succeed: 1*3*6 = 18
P(event) = 18/216 is not 1/4
----------------
(b) All three numbers are even.
Ways to succeed: 3*3*3 = 27
P(event) = 27/216 is not 1/4
------------------------------------
(c) The red die is even and the black die is 4 or more.
Ways to succeed: 3*3*6 = 54
P(event) = 54/216 = 1/4
-------------------------------------
(d) Exactly two of the three numbers are equal.
Ways to succeed: 6*6*5 = 180
P(event) = 180/216 is not 1/4
----------------------
(e) None of the above----no
==================================
cheers,
Stan H.
===============
|
test/353050: I would appreciate it if someone can help me out i dont even know where to start with this. Thank You
Set up the objective function and constraints for the following problem. DO NOT SOLVE
The Big-16 Theatre plans to announce their grand opening with radio, newspaper, and TV ads. The radio ads cost $165 each, newspaper ads cost $250 each, and TV ads cost $750 each. They plan to run no more than 20 TV ads and no more than a total of 85 radio and newspapers ads. They estimate that each radio ad will reach 800 people, each newspaper as will reach 2400 people and each TV ad will reach 5000 people. The advertising budget is $30,000. How many of each type of ad should they run so the total number of people reached is a maximum? Write the constraints and objective function for this exercise. Do not solve.
1 solutions
Answer 252289 by stanbon(57276) on 2010-10-07 00:09:17 (Show Source):
You can put this solution on YOUR website!The Big-16 Theatre plans to announce their grand opening with radio, newspaper, and TV ads.
The radio ads cost $165 each, newspaper ads cost $250 each, and TV ads cost $750 each.
They plan to run no more than 20 TV ads and no more than a total of 85 radio and newspapers ads.
They estimate that each radio ad will reach 800 people, each newspaper ad
will reach 2400 people and each TV ad will reach 5000 people.
The advertising budget is $30,000.
How many of each type of ad should they run so the total number of people reached is a maximum?
Write the constraints and objective function for this exercise. Do not solve.
------
Constraints:
r,n, and t are all >=0
165r + 250n + 750t <= 30,000 dollars
t <= 20
r+n <= 85
-------------------
Objective: # of people reached = 800r + 2400n + 5000t
===========================================================
Cheers,
Stan H.
|
Linear_Algebra/353049: Your math teacher found a pattern in how long students study versus their percentage grade on the math tests! She recorded the information below.
#of hours studied (x) | o.5| 1 | 2 | 2.5 | 3 | 3.5 |
% Test Score (y) | 65 | ? | 80| ? | 90| ?
What is the Rule that relates to x and y?
1 solutions
Answer 252287 by stanbon(57276) on 2010-10-07 00:00:46 (Show Source):
You can put this solution on YOUR website!Your math teacher found a pattern in how long students study versus their percentage grade on the math tests! She recorded the information below.
#of hours studied (x) | o.5| 1 | 2 | 2.5 | 3 | 3.5 |
% Test Score (y) | 65 | ? | 80| ? | 90| ?
What is the Rule that relates to x and y?
-----
Just using the three x,y pairs that are given,
y = 10x + 60
---
So f(1) = 70
f(2.5) = 85
f(3.5) = 95
================
Cheers,
Stan H.
|
Graphs/353030: How can I turn this problem into an inequality problem? It's about assembling radios called "Breakers" and "Good Buddies"
"An assembly line can spend a total of no more than 189 man-hours a day assembling radios. It takes 7 man-hours to assemble a Breaker and 3 man hours to assemble a Good Buddy."
1 solutions
Answer 252273 by stanbon(57276) on 2010-10-06 23:31:39 (Show Source):
You can put this solution on YOUR website!How can I turn this problem into an inequality problem? It's about assembling radios called "Breakers" and "Good Buddies"
"An assembly line can spend a total of no more than 189 man-hours a day assembling radios. It takes 7 man-hours to assemble a Breaker and 3 man hours to assemble a Good Buddy."
----------------------------------
Let # of Breakers be "b".
Let # of Good Buds be "g".
----
Assembling Inequality: 7b + 3g <= 189 man-hours
=====================================================
Cheers,
Stan H.
|
Quadratic_Equations/353035: f(x)=8-x^2
I got
Vertex (0, x^2)
Line of Symmetry x=0
Max/Min -x^2
Value of, f(0)=8 max/min
I choose max.
What I cannot figure out is how do I graph this one?
1 solutions
Answer 252272 by stanbon(57276) on 2010-10-06 23:27:24 (Show Source):
You can put this solution on YOUR website!f(x)=8-x^2
I got
Vertex ?
Vertex occurs when x = -b/(2a) = -0/(2*-1) = 0
f(0) = 8
Vertex is (0,8)
------------------------
Line of Symmetry x=0
Max/Min:: Max because the coefficient of x^2 is negative
Value of, f(0)=8 max
how do I graph this one?
Plot (0,8) and a couple points to the left and to
the right of x = 0
-------------------------
====================================
Cheers,
Stan H.
|
Expressions-with-variables/353041: Find 3 consecutive even integers such that the sum of the first and four times the second is -12
1 solutions
Answer 252271 by stanbon(57276) on 2010-10-06 23:17:28 (Show Source):
You can put this solution on YOUR website!Find 3 consecutive even integers such that the sum of the first and four times the second is -12
--------
1st: 2x-2
2nd: 2x
3rd: 2x+2
-----
Equation:
2x-2 + 4(2x) = -12
10x-2 = -12
10x = -10
x = -1
----
1st: 2x-2 = -4
2nd: 2x = -2
3rd: 2x+2 = 0
==================
Cheers,
Stan H.
|
Expressions-with-variables/353040: A pharmacist wishes to fill a total of 200 capsules, some 3-grain and 2-grain capsules, using 520 grains of a certain drug. How many capsules of each kind does he fill?
1 solutions
Answer 252270 by stanbon(57276) on 2010-10-06 23:13:58 (Show Source):
You can put this solution on YOUR website!A pharmacist wishes to fill a total of 200 capsules, some 3-grain and 2-grain capsules, using 520 grains of a certain drug. How many capsules of each kind does he fill?
-----
Let "a" be number of 2-grain capsules
Let "b" be number of 3-grain capsules
---------------------------------
Quantity:::: a + b = 200 capsules
Grains Eq:::2a + 3b = 520 grains
---
Multiply thru 1st equation by 2 to get:
2a + 2b = 2*200
---
Subtract that from the Grains Eq. and solve for "b":
b = 120 (# of 3-grain capsules)
--------------
Since a+b = 200, a = 80 (# of 2-grain capsules)
===================================================
Cheers,
Stan H.
|
Probability-and-statistics/353036: The probability that a salesperson will make a sale is 0.8. What is the probability (assuming independence) that on two calls made in a day the salesperson will:
a. make two sales?
b. Make at least one sale?
c. Make no sales?
1 solutions
Answer 252268 by stanbon(57276) on 2010-10-06 23:07:06 (Show Source):
You can put this solution on YOUR website!The probability that a salesperson will make a sale is 0.8. What is the probability (assuming independence) that on two calls made in a day the salesperson will:
a. make two sales?::::0.8^2 = 0.64
-----------------------------
c. Make no sales?:::0.2^2 = 0.04
-----------------------------
b. Make at least one sale? :::
P(at least one sale) = 1 - P(no sales)
= 1 - 0.04
= 0.96
===============================
Cheers,
Stan H.
|
Linear-equations/352970: how do you find the value of k so that (k^2 , k) is on the line 2x-5y=3
thanks!
1 solutions
Answer 252239 by stanbon(57276) on 2010-10-06 21:21:29 (Show Source):
You can put this solution on YOUR website!how do you find the value of k so that
(k^2 , k) is on the line 2x-5y=3
----------------------
Substitute for x and y and solve for "k".
---
2k^2 - 5k - 3 = 0
----
(k-3)(2k+1) = 0
k = 3 or k = -1/2
-----
Ans: (9,3) or (1/4,-1/2)
===========================
Cheers,
Stan H.
|
Number-Line/352965: Represent the numbers 36/9 and 2/5 on a number line.
1 solutions
Answer 252236 by stanbon(57276) on 2010-10-06 21:14:59 (Show Source):
You can put this solution on YOUR website!Represent the numbers 36/9 and 2/5 on a number line.
---------------------
36/9 = 4
---
2/5 = 0.4
------------------------
Draw a number line.
Put unit marks from -3 on the left of zero to +5 on the right.
Put a solid circle at "4".
Pt a solid circle 2/5 th of the way from 0 to 1.
Don't be picky; just put a solid circle and call the
point 0.4.
==============
Cheers,
Stan H.
|
Probability-and-statistics/352829: In a department store there are 120 customers, 90 of who will buy at least 1 item. If 5 customers are selected at random, one by one, find the probability that all will buy at least 1 item.
1 solutions
Answer 252230 by stanbon(57276) on 2010-10-06 21:07:48 (Show Source):
You can put this solution on YOUR website!In a department store there are 120 customers, 90 of who will buy at least 1 item. If 5 customers are selected at random, one by one, find the probability that all will buy at least 1 item.
-------
P(each of 5 buy at least one) = 1 - P(none of 5 buy at least one)
---
Note: There are 30 who will not buy at least one item
---------------
= 1 - 30C5/120C5
----
= 1 - 0.0000007478
---
= 0.999252....
======================
Cheers,
Stan H.
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Probability-and-statistics/352896: An urn contains 10 red balls and 15 white balls. A ball is selected at random from the urn and not replaced. Then, a second ball is selected. Show that the probability that the second ball is red is the same as the probability that the first ball is red.
1 solutions
Answer 252222 by stanbon(57276) on 2010-10-06 20:55:57 (Show Source):
You can put this solution on YOUR website!An urn contains 10 red balls and 15 white balls. A ball is selected at random from the urn and not replaced. Then, a second ball is selected. Show that the probability that the second ball is red is the same as the probability that the first ball is red.
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P(red on 1st draw) = 10/25
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Note: The red is NOT replaced.
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P(red on 2nd draw) = 9/24
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Note: These probabilities are NOT the same.
They would be if you had replaced the 1st red drawn.
============================================
Cheers,
Stan H.
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Probability-and-statistics/352949: Using the sample of 40 observations, to test whether the population average time it takes Stats II students to run a mile is different from 9 minutes using a .05 significance level, what is the test statistic?
The mean of the sample is 10.25525 and I will be glad to post the sample data if necessary. My best guess is t=.93 but I'm unsure. Thanks in advance this site is great.
1 solutions
Answer 252220 by stanbon(57276) on 2010-10-06 20:49:55 (Show Source):
You can put this solution on YOUR website!Using the sample of 40 observations, to test whether the population average time it takes Stats II students to run a mile is different from 9 minutes using a .05 significance level, what is the test statistic?
The mean of the sample is 10.25525 and I will be glad to post the sample data if necessary. My best guess is t=.93 but I'm unsure. Thanks in advance this site is great.
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x-bar = 10.26
---
test stat: t(10.26) = (10.26-9)/[s/sqrt(40)]
---
Need the sample standard deviation to get the test stat.
I should have asked for that.
But you can insert it and calculate the ts.
-------------------
Cheers,
Stan H.
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Probability-and-statistics/352933: a girl has 10 yellow, 10 red, and 10 green marbles. She picks two marbles out at random and gives them to her sister
a.) what is the probability of choosing 2 yellow marbles?
b.) of the marbles left what is the probability of choosing a green marble next?
c.)of the marbles left, what color has the probability of 1/3 of being picked? explain how you determined your answer.
1 solutions
Answer 252215 by stanbon(57276) on 2010-10-06 20:44:14 (Show Source):
You can put this solution on YOUR website!a girl has 10 yellow, 10 red, and 10 green marbles. She picks two marbles out at random and gives them to her sister
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a.) what is the probability of choosing 2 yellow marbles?
P(2 yellow) = 10C2/30C2 = 0.1034
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b.) of the marbles left what is the probability of choosing a green marble next?
P(green after 2 yellow) = 10/28
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c.)of the marbles left, what color has the probability of 1/3 of being picked? explain how you determined your answer.
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27 marbles are left
There are 9 green left.
P(green) = 9/27 = 1/3
=========================
Cheers,
Stan H.
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Probability-and-statistics/352944: Using the sample of 40 observations, to test whether the population average time it takes Stats II students to run a mile is different from 9 minutes using a .05 significance level, what is the test statistic?
I have the sample data but I don't know if it is even relevant for this problem since I am just finding the test statistic. I'll be glad to post it if necessary. Thanks
1 solutions
Answer 252213 by stanbon(57276) on 2010-10-06 20:35:46 (Show Source):
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Probability-and-statistics/352924: Suppose that the probability that a particular brand of light bulb fails before 900 hours of use is 0.2. If you purchase 3 of these light bulbs, what is the probability that at least one of them lasts 900 hours or more?
1 solutions
Answer 252210 by stanbon(57276) on 2010-10-06 20:31:37 (Show Source):
You can put this solution on YOUR website!Suppose that the probability that a particular brand of light bulb fails before 900 hours of use is 0.2. If you purchase 3 of these light bulbs, what is the probability that at least one of them lasts 900 hours or more?
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P(at least one in 3) = 1 - P(none of 3 lasts 900 hrs)
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= 1 - (0.2)^3
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= 1 - 0.008
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= 0.992
=========
Cheers,
Stan H.
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Equations/352664: Solve for the variable in each equation below. Show all your work. Provide a check for each answer. If a solution is undefined, state that in your answer.
x-2/x+1 = x+1/x-2
CHECK.
It seems to me that the x-2's would cancel eachother out, and the same for x+1, am I correct? Please help me! Thanks so much!
1 solutions
Answer 252059 by stanbon(57276) on 2010-10-06 13:10:12 (Show Source):
You can put this solution on YOUR website!Solve for the variable in each equation below. Show all your work. Provide a check for each answer. If a solution is undefined, state that in your answer.
x-2/x+1 = x+1/x-2
--------------------------
You must not cancel terms, only factors.
----
Cross multiply to get:
(x-2)^2 = (x+1)^2
x^2-4x+4 = x^2+2x+1
6x = 3
x = 1/2
================
Cheers,
Stan H.
==================
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Miscellaneous_Word_Problems/352649: The amount of gasoline sold daily at a gas station is uniformly distributed with a minimum of 2,000 gallons and a maximum of 5,000 gallons. What is the probability that the station will sell at least 3,500 gallons?
I was using the uniform distribution formula but my answer is not looking right. Could you help me on it?
1 solutions
Answer 252057 by stanbon(57276) on 2010-10-06 13:07:45 (Show Source):
You can put this solution on YOUR website!The amount of gasoline sold daily at a gas station is uniformly distributed with a minimum of 2,000 gallons and a maximum of 5,000 gallons. What is the probability that the station will sell at least 3,500 gallons?
I was using the uniform distribution formula but my answer is not looking right. Could you help me on it?
------------
The base of the distribution is 2000 to 5000
Width = 3000
---
Height of the distribution is 1/3000
---
P(3500<= x <=5000) = (1500)(1/3000) = 1/2
===============================================
Cheers,
Stan H.
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Travel_Word_Problems/352655: if Linda takes 10 minutes to jog 1 mile, what is her speed in miles per hour?
divide 4/5 by 2/3?
Subtract 5 2/3 from 8/ 1/4
what is the LCM of 12 and 18?
for a class picnic, the following wraps were made, 8 ham, 8 veggie, 15 turkey, and 19 tuna. What percent of wraps are turkey?
1 solutions
Answer 252054 by stanbon(57276) on 2010-10-06 13:02:47 (Show Source):
You can put this solution on YOUR website!if Linda takes 10 minutes to jog 1 mile, what is her speed in miles per hour?
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(1 mile/10 min)(60 min/1 hr) = (60/10) mph = 6 mph
----------------------------
divide 4/5 by 2/3?
(4/5)/(2/3) = (4/5)*(3/2) = 12/10 = 6/5 = 1 1/5
----------------------------
Subtract 5 2/3 from 8/ 1/4
8 1/4 - 5 2/3 = (33/4)-(17/4) = 16/4 = 4
----------------------------
what is the LCM of 12 and 18?
12 = 2^2*3
18 = 2*3^2
LCM = 2^2*3^2 = 4*9 = 36
----------------------------
for a class picnic, the following wraps were made, 8 ham, 8 veggie, 15 turkey, and 19 tuna. What percent of wraps are turkey?
Total = 8+8+15+19 = 50
Percept turkey = 15/50 = 30/100 = 30%
============================
Cheers,
Stan H.
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real-numbers/352652: 1. Which of the following best describes the set of odd numbers between zero and ten?
null set
{9, 7, 5, 3, 1, 1, 3, 5, 7, 9}
{1, 3, 5, 7, 9}
all real numbers
1 solutions
Answer 252047 by stanbon(57276) on 2010-10-06 12:51:26 (Show Source):
You can put this solution on YOUR website!1. Which of the following best describes the set of odd numbers between zero and ten?
null set
{9, 7, 5, 3, 1, 1, 3, 5, 7, 9}
{1, 3, 5, 7, 9}
all real numbers
--------------------
The 2nd and the 3rd both describe the set of odd numbers
between zero and ten.
====================
Cheers,
Stan H.
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Money_Word_Problems/352616: The population mean waiting time of customers of the XYZ Burger chain is 3.4 minutes with a population standard deviation of 1.2 minutes. The customer service department found in a sample of 50 customers that the mean waiting time was 3.2 minutes. At the 4% significance level, can we conclude that the mean waiting time is different from the population mean?
1 solutions
Answer 252009 by stanbon(57276) on 2010-10-06 10:38:44 (Show Source):
You can put this solution on YOUR website!The population mean waiting time of customers of the XYZ Burger chain is 3.4 minutes with a population standard deviation of 1.2 minutes. The customer service department found in a sample of 50 customers that the mean waiting time was 3.2 minutes. At the 4% significance level, can we conclude that the mean waiting time is different from the population mean?
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Ho: u = 3.4
Ha: u is not 3.4
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x-bar = 3.2
---
t(3.2) = (3.2-3.4)/[1.2/sqrt(50)] = -1.1785
----
p-value = 2*P(t< -1.1785 when df = 49) = 0.2443
---
Since the p-value is greater than 4%, fail to reject Ho.
The test results support the Ho claim at the 4% significance level.
Cheers,
Stan H.
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Quadratic_Equations/352607: Find the vertex, the line of symmetry, the maxiumum or minimum value of the quadratic function, and graph the function.
f(x)=-2x^2+2x+3
The x-coordinate of the vertex is:
The y-coordinate of the vertex is:
The equation of the line of symmetry is x=
The maximum/minimum of f(x) is:
The value, f(1/2)=7/2 is minimum or maximum?
So far, I have tried to work the problem. This is what I have:
f(x)=-2x^2+2x+3, so you use (-b/2a,4ac-b^2/4a)
Therefore, if -b/2a=-(2)/2(-1)=1
Then put 1 back into the equation.
f(1)=-2(1)^2+2(1)+3
Using FOIL, I come up with 1.
This where I get confused. Is the x-coordinate 1? How do i come up with y-coordinate?
Is the line of symmetry also 1?
I think I confuse myself the most when I try to apply the FOIL method?
Any help is so very much appreciated! Thanks in advance!
1 solutions
Answer 252005 by stanbon(57276) on 2010-10-06 10:29:22 (Show Source):
You can put this solution on YOUR website!Find the vertex, the line of symmetry, the maxiumum or minimum value of the quadratic function, and graph the function.
f(x)=-2x^2+2x+3
----
vertex occurs at x = -b/(2a) = -2/(2*-2) = 1/4
This is a maximum
The x-coordinate of the vertex is:1/4
The y-coordinate of the vertex is:f(1/4) = 3.375
The equation of the line of symmetry is x= 1/4
The maximum/minimum of f(x) is: max = 3.375
The value, f(1/4)=3.375 is maximum because the coefficient of x^2 is negative.
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---
Cheers,
Stan H.
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Graphs/352606: Find the slope of the line:
(-3, -2) (5, -2)
y2-y1 = -2 - (-2)
x2-x1 = -3 - 5
Is correct answer 0?
1 solutions
Answer 252000 by stanbon(57276) on 2010-10-06 10:18:53 (Show Source):
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Mixture_Word_Problems/352570: A radiator contains 25 quarts of water and anti-freeze solution, of which 60% (by volume) is anti-freeze. How much of this solution must be drained and replaced with water for the new solution to be 40% anti-freeze?
1 solutions
Answer 251999 by stanbon(57276) on 2010-10-06 10:18:06 (Show Source):
You can put this solution on YOUR website!A radiator contains 25 quarts of water and anti-freeze solution, of which 60% (by volume) is anti-freeze. How much of this solution must be drained and replaced with water for the new solution to be 40% anti-freeze?
-----------------------
Equation:
water -water + water = water
0.40*25 - 0.40x + 1.00x = 0.60*25
-----
Multiply thru by 100 to get:
40*25 + 40x + 100x = 60*25
140x = 20*25
x = (1/7)25
x = 3.57 quarts of the original mix must be replaced
============================
Cheers,
Stan H.
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Graphs/352605: Solve using add and multipication:
7 + 6x < 37
I did -7 to both sides. Which gave me: 6x < 30
is the correct solution x/x > 5
1 solutions
Answer 251997 by stanbon(57276) on 2010-10-06 10:12:52 (Show Source):
You can put this solution on YOUR website!Solve using add and multipication:
7 + 6x < 37
I did -7 to both sides. Which gave me: 6x < 30
----
Right
Now divide both sides by 6 to get:
x < 5
===========
cheers,
Stan H.
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Equations/352602: The sum of two numbers is 57. One of the numbers is 21. Which of the following equations could be used to find the other number?
An answer is required
n = 57 + 21
57 = 2 + 21
21 = n – 57
Not Here
57 = n + 21
1 solutions
Answer 251996 by stanbon(57276) on 2010-10-06 10:11:21 (Show Source):
You can put this solution on YOUR website! The sum of two numbers is 57. One of the numbers is 21. Which of the following equations could be used to find the other number?
An answer is required
-------
Since n+21 = 57
n = 57-21
or
n-57 = -21
-----------------------
Cheers,
Stan H.
===================
n = 57 + 21
57 = 2 + 21
21 = n – 57
Not Here
57 = n + 21
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Probability-and-statistics/352593: Q1:A block of 100 bits is transmitted over a binary communication channel with probability of bit error p=0.003.Find the probability that the bit contains 3 or more errors.
Q2:a random experiment has sample space S={a,b,c},suppose that P[a,c]=5/8 and p[b,c]=7/8.Use axioms of probability to find the probability of the elementary events?solution of this question
1 solutions
Answer 251993 by stanbon(57276) on 2010-10-06 10:06:56 (Show Source):
You can put this solution on YOUR website!Q1:A block of 100 bits is transmitted over a binary communication channel with probability of bit error p=0.003.Find the probability that the bit contains 3 or more errors.
---
Binomial with n=100 and p= 0.003
P(3<= x <=100) = 1- P(0<= x <=2) = 1-binomcdf(100,0.003,2) = 0.0035
-------------------------------------------------------------------------
Q2:a random experiment has sample space S={a,b,c},suppose that P[a,c]=5/8 and p[b,c]=7/8.Use axioms of probability to find the probability of the elementary events?solution of this question
---
? What do you mean by P[a,c] and P[b,c]?
Are they "OR" statements or "AND" statements?
Cheers,
Stan H.
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