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nyc_function answered: 2728 problems
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I got: (5)(4)(3)(2)(1)= 120 Am I even using the correct formula?
1 solutions
Answer 245692 by nyc_function(2733)   on 2010-09-15 08:27:23 (Show Source):
You can put this solution on YOUR website!Given the 5 questions selected there are 5! = 120 arrangements.
But I think your question is how many 5-question sets can be made from the 12 questions. The answer to that is 12C5 = 12! / (5!)(7!) = 792
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Probability-and-statistics/343367: If three people are randomly sampled, what is the probability that one is born on your birthday? (assume 365 days in a year).
I got: 3/365 = .82% ...... This doesn't even look right to me?
1 solutions
Answer 245690 by nyc_function(2733) on 2010-09-15 08:26:21 (Show Source):
You can put this solution on YOUR website!The answer is 398,581/48,627,125 or approximately 0.0082.
Call the people Al, Betty, and Chuck.
The probability that Al isn't born on your birthday is 364/365. Likewise for Betty and Chuck.
These three probabilities are independent (knowing Al's birthday doesn't influence your probability for Betty), so we can find the probability that *none* of these people share your birthday by multiplying:
364/365 * 364/365 * 364/365 = 48,228,544/48,627,125.
But we want the probability that one of these people *does* share your birthday. This is exactly the negation of the event that none of them share your birthday, so the probability is one minus that;
1 - 48,228,544/48,627,125 = 398,581/48,627,125.
Another approach to this problem: there are 48,627,125 possible arrangements of these people's birthdays (365*365*365). Of these, there are (1*365*365 + 364*1*365 + 364*364*1), or 398,581, arrangements in which at least one person shares your birthday. So, the probability of that event is 398,581/48,627,125.
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Linear-equations/343187: Find an equation of the line containing the points (3,5) and (9,9)
1 solutions
Answer 245599 by nyc_function(2733) on 2010-09-14 21:07:54 (Show Source):
You can put this solution on YOUR website!We first need to find the slope.
Let m = slope
m = (9 - 5)/(9 - 3)
m = 4/6
m = 2/3
The slope of the equation we are looking for is 2/3.
We now plug one of the points given (your choice which point to use) and the slope into the point-slope formula and solve for y.
y - y1 = m(x - x1)....This is the point-slope formula found in most math books.
I will use the point (3,5) but you can use the other point if you'd like.
y - 5 = 2/3(x - 3)
y - 5 = (2/3)x - 2
y = (2/3)x - 2 + 5
y = (2/3)x + 3
Understand?
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Distributive-associative-commutative-properties/342932: I have some factoring problems.. I have solved some, but the others just dont work.
3x(a-3)-5(3-a) I don't even know where to start, it looks factored to me?
20x^2-7x-6. I have tried about every different combination I can for foil for this one, it just does not work itself out.. It is driving me CRAZY!!!
4x^4 + 12x^3- 28x^2. I don't even know where to start to be honest. Is this a foil problem?
Thank you for your time..I can not tell you how valuable this site has been to me.
1 solutions
Answer 245428 by nyc_function(2733) on 2010-09-14 12:10:19 (Show Source):
You can put this solution on YOUR website!The expression 3x(a-3)-5(3-a) becomes 3x(a-3)-5(3-a) after using the distributive rule.
20x^2 - 7x - 6 factors out to be (5x+2)(4x-3). To factor this one, I used the GROUPING METHOD.
4x^4 + 12x^3- 28x^2 factors out to be 4x^2(x^2 + 3x - 7). To factor this one, I needed to do some extra substitutions in terms of letting y = x^2.
Done!
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Equations/342924: Translate into an equation
Given two numbers with a sum of 40, the sum of the smaller number and five more than the larger number is 57
1 solutions
Answer 245426 by nyc_function(2733) on 2010-09-14 12:04:32 (Show Source):
You can put this solution on YOUR website!Let x = small number
Let y = bigger number
x + y = 40
x + y + 5 = 57
You have two equations in two variables. In other words, you have a system of two linear equations.
I guess you don't need to solve this system because you requested a translation of words to equations.
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Angles/342925: two angles are supplementary angles. The measure of the larger angle is 5 degrees more than 3 times the measure of the smaller angle. find the measure of the two angles.
1 solutions
Answer 245425 by nyc_function(2733) on 2010-09-14 12:00:42 (Show Source):
You can put this solution on YOUR website!Let x = bigger angle
Let y = smaller angle
x + y = 180
x = 3y + 5
I will solve by substitution.
3y + 5 + y = 180
4y + 5 = 180
4y = 180 - 5
4y = 175
y = 175/4
y = 43.75 degrees.
The smaller angle is 43.75 degrees.
The larger angle is 180 - 43.75 or 136.25 degrees.
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Radicals/342898: elana begins with a large square sheet that is 169 square inches. how many squares can she cut out the paper that are 4 inches on each side?
1 solutions
Answer 245413 by nyc_function(2733) on 2010-09-14 11:15:45 (Show Source):
You can put this solution on YOUR website!Two squares: one has an area of 169 and the other has 4 inches on one side.
The square with 169 square inches has a side of 13 inches since 13 times 13 = 169.
The other square has 4 inches on one side, which means it has an area of 16 square inches.
Area of big square divided by area of little square = 169/16 = 10.5625.
We can round this off to the nearest tens place and get 10.
She should be able to cut at least 10 little squares.
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Radicals/342910: The question is 2 times the square root of 32 PLUS 3 times the square root of 8 MINUS 4 times the square root of 18.
Please help.
1 solutions
Answer 245404 by nyc_function(2733) on 2010-09-14 11:05:10 (Show Source):
You can put this solution on YOUR website!Let sqrt = square root for short
sqrt[32] + 3(sqrt[8]) - 4(sqrt[18]) =
Break down every square root. Your goal is to get the same radicand for every term.
sqrt[32] = 8(sqrt[2])
3(sqrt[8]) = 6(sqrt[2])
4(sqrt[18]) = 12(sqrt[2])
We now have 8(sqrt[2]) + 6(sqrt[2]) - 12(sqrt[2])
Notice how every radical has the same number 2. This was the goal.
We now simplify 8(sqrt[2]) + 6(sqrt[2]) - 12(sqrt[2]).
8(sqrt[2]) + 6(sqrt[2]) - 12(sqrt[2]) = 14(sqrt[2]) - 12(sqrt[2]).
14(sqrt[2]) - 12(sqrt[2]) = 2(sqrt[2]) as the final answer.
Did you follow?
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Polygons/341966: How do we find the area of polygon having sides 3,4,5,5,5 ?
1 solutions
Answer 245401 by nyc_function(2733) on 2010-09-14 10:52:49 (Show Source):
You can put this solution on YOUR website!You are given 5 sides. This is a pentagon.
Copy and paste the following link to learn about finding the area of a pentagon.
http://jwilson.coe.uga.edu/EMAT6680/Parsons/MVP6690/Unit/Pentagon/pentagon.html
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Permutations/342821: 12 individuals are part of a group of trustees of a particular company. There are 5 positions that need to be filled on the board. How many different ways can the board positions be filled?
1 solutions
Answer 245397 by nyc_function(2733) on 2010-09-14 10:40:43 (Show Source):
You can put this solution on YOUR website!Given the 5 questions selected there are 5! = 120 arrangements.
But I think your question is how many 5-question sets can be made from the 12 questions. The answer to that is 12C5 = 12! / (5!)(7!) = 792
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Linear-systems/342881: IQ=100M/C SOLVE FOR M
CAN YOU PLEASE EXPLAIN HOW TO DO THIS KIND OF PROBLEM
THANK YOU
1 solutions
Answer 245395 by nyc_function(2733) on 2010-09-14 10:37:28 (Show Source):
You can put this solution on YOUR website!This is more a literal equation.
We begin by multiplying both sides by C.
After doing that, we get IQC = 100M.
To solve for M (or any other variable) means to isolate the variable.
To isolate M, we divide both sides by 100.
Final answer: IQC/100 = M
Did you follow?
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Probability-and-statistics/342888: A teacher will select 5 questions from 12 available questions. How many different arrangements are possible for the 5 selected questions?
I got: (5)(4)(3)(2)(1)= 120 ways
1 solutions
Answer 245391 by nyc_function(2733) on 2010-09-14 10:28:37 (Show Source):
You can put this solution on YOUR website!Given the 5 questions selected there are 5! = 120 arrangements.
But I think your question is how many 5-question sets can be made from the 12 questions. The answer to that is 12C5 = 12! / (5!)(7!) = 792
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Miscellaneous_Word_Problems/342882: The volume of a rectangular Chinese box is given by the formula V=LWH. The Volume is 297cu units. Find the width and length.
Length = x+2
width = x
height = 3
can you show the steps also?
1 solutions
Answer 245389 by nyc_function(2733) on 2010-09-14 10:22:49 (Show Source):
You can put this solution on YOUR website!V = LWH
Let V = 297
Let L = (x + 2)
Let W = x
Let H = 3
297 = (x + 2)(x)(3)
297 = (x + 2)(3x)
297 = 3x^2 + 6x
0 = 3x^2 + 6x - 297
At this point, we have a quadratic equation.
After doing the math, I got x = -11 and x = 9.
Since we are talking about distances, we reject -11 and accept x = 9.
The length = x + 2 or 9 + 2 = 11.
Thw width is 9.
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Linear-equations/342253: 3(2x-5)-x= -7(x+3)
how do you solve and check the quation using distributive property?
1 solutions
Answer 245372 by nyc_function(2733) on 2010-09-14 08:51:45 (Show Source):
You can put this solution on YOUR website!3(2x-5)-x= -7(x+3)
6x - 15 - x = -7x - 21
5x - 15 = -7x - 21
5x + 7x = -21 + 15
12x = -6
x = -6/12
x = -1/2
To check, replace every x with -1/2 in your original linear equation.
If you get the same answer on both sides, you'll then know if x = -1/2 is correct. I'll let you do the checking.
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Linear-equations/342254: 7(t-3) = 2(t-9)+2t
how do you solve and check the quation using distributive property?
1 solutions
Answer 245371 by nyc_function(2733) on 2010-09-14 08:47:17 (Show Source):
You can put this solution on YOUR website!7(t-3) = 2(t-9)+2t
7t - 21 = 2t - 18 + 2t
7t - 21 = 4t - 18
7t - 4t = -18 + 21
3t = 3
t = 3/3
t = 1
To check, replace every t with 1 in your original linear equation.
If you get the same answer on both sides, you'll then know that t = 1 is correct.
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Permutations/342723: Each event can occur in the given number of ways. Find the number of ways all of the events can occur.
Event 1: 3 ways; Event 2: 7 ways
This question is in my Algebra 2 workbook for practice on Permutation.
1 solutions
Answer 245370 by nyc_function(2733) on 2010-09-14 08:40:14 (Show Source):
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