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 Quadratic_Equations/663973: 5x^2 + 16x + 12 = 01 solutions Answer 413072 by jim_thompson5910(28476)   on 2012-10-09 18:20:26 (Show Source): You can put this solution on YOUR website!Use the quadratic formula to solve for x or or or or
 Equations/663970: 2x+5 = 131 solutions Answer 413069 by jim_thompson5910(28476)   on 2012-10-09 18:18:37 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is
 test/663948: The wildcats football team lost 5 yards in each of three plays whats the team total1 solutions Answer 413065 by jim_thompson5910(28476)   on 2012-10-09 17:59:58 (Show Source): You can put this solution on YOUR website!They lost a total of 3*5 = 15 yards
 Geometry_proofs/663868: I don't understand proofs. For example: Given: Segment AB is congruent to segment TP. Prove: Segment AT is congruent to segment BP. There is a line image accompanying it. <---a--b--------t--p--->1 solutions Answer 413055 by jim_thompson5910(28476)   on 2012-10-09 17:47:11 (Show Source): You can put this solution on YOUR website!Notice how AP = AT + TP and AP = AB + BP Since AB = TP (given), this means AP = AT + TP and AP = AB + BP becomes AP = AT + TP and AP = TP + BP AP = AT + TP and AP = BP + TP So this means that AP = AT + TP BP + TP = AT + TP BP + TP - TP = AT + TP - TP BP = AT AT = BP which proves that segment AT is congruent to segment BP
 Equations/663942: 6-(b+1)=91 solutions Answer 413054 by jim_thompson5910(28476)   on 2012-10-09 17:40:27 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Combine like terms on the left side. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is
 test/663939: x-8+(x+2)>01 solutions Answer 413053 by jim_thompson5910(28476)   on 2012-10-09 17:39:51 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Combine like terms on the left side. Add to both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is
 Geometric_formulas/663935: 6(30 – 3) =1 solutions Answer 413052 by jim_thompson5910(28476)   on 2012-10-09 17:37:53 (Show Source): You can put this solution on YOUR website!6(30 - 3) = 6(27) 6(30 - 3) = 162
 Polynomials-and-rational-expressions/663930: Simplify the complex rational fraction (x^3+5x^2+6x+2)/(x+1)1 solutions Answer 413051 by jim_thompson5910(28476)   on 2012-10-09 17:37:05 (Show Source): You can put this solution on YOUR website!Use polynomial long division to get So
 test/663932: 4y^3-2y+2 / 2y+21 solutions Answer 413047 by jim_thompson5910(28476)   on 2012-10-09 17:34:15 (Show Source): You can put this solution on YOUR website!I'm going to use 'x' in place of 'y'. Use polynomial long division to get So
 Angles/663931: express the complement of an angle represented by (y+10) degrees.1 solutions Answer 413042 by jim_thompson5910(28476)   on 2012-10-09 17:30:30 (Show Source): You can put this solution on YOUR website!The complement would be 90 - (y+10) = 90 - y - 10 = 80 - y degrees
Probability-and-statistics/663913: You pick 5 apples from a grocery store owned by the professor. The probability of a randomly chosen apple being rotten is 0.518. Let X represent the number of apples that are NOT rotten. Find the probability of X=k in the table below.
k P(X = k)
0
1
2
3
4
5

I tried multiplying .482*0 then .482*1 all the way down the table.
1 solutions

Answer 413040 by jim_thompson5910(28476)   on 2012-10-09 17:28:32 (Show Source):
You can put this solution on YOUR website!
The probability of a randomly chosen apple being rotten is 0.518

So the probability of a randomly chosen apple NOT being rotten is 1 - 0.518 = 0.482

So p = 0.482

There are 5 apples picked, so n = 5.

This is a binomial distribution problem, so use the formula P(X = k) = (n C x)*(p)^(x)*(1-p)^(n-x)

For k = 0
P(X = k) = (n C x)*(p)^(x)*(1-p)^(n-x)
P(X = 0) = (5 C 0)*(0.482)^(0)*(1-0.482)^(5-0)
P(X = 0) = (5 C 0)*(0.482)^(0)*(0.518)^(5-0)
P(X = 0) = (1)*(0.482)^(0)*(0.518)^5
P(X = 0) = (1)*(1)*(0.037294844329568)
P(X = 0) = 0.037294844329568
P(X = 0) = 0.03729

For k = 1
P(X = k) = (n C x)*(p)^(x)*(1-p)^(n-x)
P(X = 1) = (5 C 1)*(0.482)^(1)*(1-0.482)^(5-1)
P(X = 1) = (5 C 1)*(0.482)^(1)*(0.518)^(5-1)
P(X = 1) = (5)*(0.482)^(1)*(0.518)^4
P(X = 1) = (5)*(0.482)*(0.071997768976)
P(X = 1) = 0.17351462323216
P(X = 1) = 0.17351

For k = 2
P(X = k) = (n C x)*(p)^(x)*(1-p)^(n-x)
P(X = 2) = (5 C 2)*(0.482)^(2)*(1-0.482)^(5-2)
P(X = 2) = (5 C 2)*(0.482)^(2)*(0.518)^(5-2)
P(X = 2) = (10)*(0.482)^(2)*(0.518)^3
P(X = 2) = (10)*(0.232324)*(0.138991832)
P(X = 2) = 0.32291138377568
P(X = 2) = 0.32291

For k = 3
P(X = k) = (n C x)*(p)^(x)*(1-p)^(n-x)
P(X = 3) = (5 C 3)*(0.482)^(3)*(1-0.482)^(5-3)
P(X = 3) = (5 C 3)*(0.482)^(3)*(0.518)^(5-3)
P(X = 3) = (10)*(0.482)^(3)*(0.518)^2
P(X = 3) = (10)*(0.111980168)*(0.268324)
P(X = 3) = 0.30046966598432
P(X = 3) = 0.30047

For k = 4
P(X = k) = (n C x)*(p)^(x)*(1-p)^(n-x)
P(X = 4) = (5 C 4)*(0.482)^(4)*(1-0.482)^(5-4)
P(X = 4) = (5 C 4)*(0.482)^(4)*(0.518)^(5-4)
P(X = 4) = (5)*(0.482)^(4)*(0.518)^1
P(X = 4) = (5)*(0.053974440976)*(0.518)
P(X = 4) = 0.13979380212784
P(X = 4) = 0.13979

and finally, for k = 5
P(X = k) = (n C x)*(p)^(x)*(1-p)^(n-x)
P(X = 5) = (5 C 5)*(0.482)^(5)*(1-0.482)^(5-5)
P(X = 5) = (5 C 5)*(0.482)^(5)*(0.518)^(5-5)
P(X = 5) = (1)*(0.482)^(5)*(0.518)^0
P(X = 5) = (1)*(0.026015680550432)*(1)
P(X = 5) = 0.026015680550432
P(X = 5) = 0.02602

The updated table is then
k P(X = k)
0 0.03729
1 0.17351
2 0.32291
3 0.30047
4 0.13979
5 0.02602

How to read the table above. Let's say you look at the third row. In this row is 2 and 0.32291, which says "the probability of picking exactly 2 rotten apples (out of 5 total) is roughly 0.32291 or 32.291%

 Geometry_Word_Problems/663917: IF the area of a square coffee shop is 256 square meters, than how long would each side be? 1 solutions Answer 413025 by jim_thompson5910(28476)   on 2012-10-09 17:15:34 (Show Source): You can put this solution on YOUR website!The length of each side is meters.
 Probability-and-statistics/663910: Find the variance of the following probability distribution. x P(x) 0 0.1052 1 0.0455 2 0.3337 3 0.3754 4 0.1401 variance = 1 solutions Answer 413024 by jim_thompson5910(28476)   on 2012-10-09 17:14:49 (Show Source): You can put this solution on YOUR website!Mean or Expected Value: E[X] = Sum( P(X = xi) * xi ) E[X] = [P(X = x1)*(x1)] + [P(X = x2)*(x2)] + [P(X = x3)*(x3)] + [P(X = x4)*(x4)] + [P(X = x5)*(x5)] E[X] = [0.1052*(0)] + [0.0455*(1)] + [0.3337*(2)] + [0.3754*(3)] + [0.1401*(4)] E[X] = 0.1052*(0) + 0.0455*(1) + 0.3337*(2) + 0.3754*(3) + 0.1401*(4) E[X] = 0 + 0.0455 + 0.6674 + 1.1262 + 0.5604 E[X] = 2.3995 So mu = 2.3995 -------------------------------------------------------------------------------------------------- Variance: sigma^2 = Sum( P(X = xi) * (xi - E(X) )^2 ) sigma^2 = [P(X = x1)*(x1 - mu)^2] + [P(X = x2)*(x2 - mu)^2] + [P(X = x3)*(x3 - mu)^2] + [P(X = x4)*(x4 - mu)^2] + [P(X = x5)*(x5 - mu)^2] sigma^2 = [0.1052*(0 - 2.3995)^2] + [0.0455*(1 - 2.3995)^2] + [0.3337*(2 - 2.3995)^2] + [0.3754*(3 - 2.3995)^2] + [0.1401*(4 - 2.3995)^2] sigma^2 = [0.1052*(-2.3995)^2] + [0.0455*(-1.3995)^2] + [0.3337*(-0.3995)^2] + [0.3754*(0.6005)^2] + [0.1401*(1.6005)^2] sigma^2 = [0.1052*(5.75760025)] + [0.0455*(1.95860025)] + [0.3337*(0.15960025)] + [0.3754*(0.36060025)] + [0.1401*(2.56160025)] sigma^2 = 0.1052*(5.75760025) + 0.0455*(1.95860025) + 0.3337*(0.15960025) + 0.3754*(0.36060025) + 0.1401*(2.56160025) sigma^2 = 0.6056995463 + 0.089116311375 + 0.053258603425 + 0.13536933385 + 0.358880195025 sigma^2 = 1.242323989975 So the variance is roughly 1.242323989975
 Polynomials-and-rational-expressions/663799: Divide and Check: (10a^2 + 19a + 9)/(2a+3)1 solutions Answer 413023 by jim_thompson5910(28476)   on 2012-10-09 17:09:15 (Show Source): You can put this solution on YOUR website!Note: I'm going to use 'x' in place of 'a' Use polynomial long division to get So we can see that the quotient is and the remainder is This means Remainder Which can also be written as
 Travel_Word_Problems/663903: flying at an average speed of 525 miles per hour,how far can a passenger fly in two hours,three hours,and in four hours?1 solutions Answer 413017 by jim_thompson5910(28476)   on 2012-10-09 17:04:39 (Show Source): You can put this solution on YOUR website!2 hours: 525*2 = 1,050 miles 3 hours: 525*3 = 1,575 miles 4 hours: 525*4 = 2,100 miles
 Probability-and-statistics/663881: What are the random outcomes for flipping a coin??1 solutions Answer 413014 by jim_thompson5910(28476)   on 2012-10-09 17:03:14 (Show Source): You can put this solution on YOUR website!Heads or Tails
 Probability-and-statistics/663864: Permutations are special types of combinations in which Elements are dependent events or Order matters or Elements are mutually exclusive or Order does not matter1 solutions Answer 413012 by jim_thompson5910(28476)   on 2012-10-09 17:02:55 (Show Source): You can put this solution on YOUR website!Permutations are special types of combinations in which Elements are dependent events or Order matters or Elements are mutually exclusive or Order does not matter
 Probability-and-statistics/663867: The number of people standing in a room is a discrete variable. True or False1 solutions Answer 413009 by jim_thompson5910(28476)   on 2012-10-09 17:02:20 (Show Source): You can put this solution on YOUR website!This is true since the number of people is a positive whole number.
 Probability-and-statistics/663880: A symbol that stands for a number is a ______________________.1 solutions Answer 413007 by jim_thompson5910(28476)   on 2012-10-09 17:01:47 (Show Source): You can put this solution on YOUR website!A symbol that stands for a number is a __variable__.
 Probability-and-statistics/663882: What are the random outcomes for flipping a coin???1 solutions Answer 413005 by jim_thompson5910(28476)   on 2012-10-09 17:00:59 (Show Source): You can put this solution on YOUR website!The outcomes are: Heads, Tails
 Probability-and-statistics/663816: For a population with σ = 10, a score that is located 20 points above the mean would have a z-score of?1 solutions Answer 413003 by jim_thompson5910(28476)   on 2012-10-09 17:00:37 (Show Source): You can put this solution on YOUR website!z = (x-mu)/sigma z = ((20+mu)-mu)/10 z = (20+mu-mu)/10 z = (20)/10 z = 2
 Probability-and-statistics/663780: Good day! I am so confused regarding the following question: Solve the problem. Round results to the nearest hundredth. The mean of a set of data is -3.82 and its standard deviation is 2.31. Find the z score for a value of 3.99 Any advice you can provide would be greatly appreciated! Thank you very much! Have a wonderful day! Sincerely, Gina C.1 solutions Answer 412941 by jim_thompson5910(28476)   on 2012-10-09 14:36:07 (Show Source): You can put this solution on YOUR website!z = (x - mu)/(sigma) z = (3.99 - (-3.82))/(2.31) z = (3.99 + 3.82)/(2.31) z = (7.81)/(2.31) z = 3.38095238095238 z = 3.38 So the answer is z = 3.38
Polynomials-and-rational-expressions/663778: Factor the polynomial? 2x^3+4x^2+8x
1 solutions

Answer 412940 by jim_thompson5910(28476)   on 2012-10-09 14:30:00 (Show Source):
You can put this solution on YOUR website!

Factor out the GCF .

Now let's try to factor the inner expression

---------------------------------------------------------------

Looking at the expression , we can see that the first coefficient is , the second coefficient is , and the last term is .

Now multiply the first coefficient by the last term to get .

Now the question is: what two whole numbers multiply to (the previous product) and add to the second coefficient ?

To find these two numbers, we need to list all of the factors of (the previous product).

Factors of :
1,2,4
-1,-2,-4

Note: list the negative of each factor. This will allow us to find all possible combinations.

These factors pair up and multiply to .
1*4 = 4
2*2 = 4
(-1)*(-4) = 4
(-2)*(-2) = 4

Now let's add up each pair of factors to see if one pair adds to the middle coefficient :

First NumberSecond NumberSum
141+4=5
222+2=4
-1-4-1+(-4)=-5
-2-2-2+(-2)=-4

From the table, we can see that there are no pairs of numbers which add to . So cannot be factored.

===============================================================

So simply factors to

In other words, .

 Linear-systems/663729: convert the follwing eqaution from slope-intercept form to standard form y=-9x - 31 solutions Answer 412939 by jim_thompson5910(28476)   on 2012-10-09 14:25:14 (Show Source): You can put this solution on YOUR website!y = -9x - 3 9x + y = - 3
 Linear-systems/663774: 5(2x+3)=2(3x+7)1 solutions Answer 412938 by jim_thompson5910(28476)   on 2012-10-09 14:20:33 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Subtract from both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . ---------------------------------------------------------------------- Answer: So the solution is
 Equations/663500: Is 5y+13=5(y+13) all real numbers or no solution. 1 solutions Answer 412799 by jim_thompson5910(28476)   on 2012-10-08 20:21:26 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Subtract from both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Simplify. Since this equation is never true for any y value, this means that there are no solutions.
 test/663468: Square root of 641 solutions Answer 412797 by jim_thompson5910(28476)   on 2012-10-08 20:20:32 (Show Source):
 test/663505: x/3-5=61 solutions Answer 412796 by jim_thompson5910(28476)   on 2012-10-08 20:19:44 (Show Source): You can put this solution on YOUR website! Start with the given equation. Multiply both sides by the LCD to clear any fractions. Distribute and multiply. Add to both sides. Combine like terms on the right side. ---------------------------------------------------------------------- Answer: So the solution is
 Average/663480: maddie took a science test with 50 questions. she scored 84%. how many questions did she answer correctly A)0.084 B)0.48 C)0.50 D)0.841 solutions Answer 412787 by jim_thompson5910(28476)   on 2012-10-08 20:00:58 (Show Source): You can put this solution on YOUR website!84% of 50 = 0.84*50 = 42 Your answer choices are completely off (they're not even whole numbers...)
 Equations/663375: 5x+3+x=21 1 solutions Answer 412744 by jim_thompson5910(28476)   on 2012-10-08 17:38:39 (Show Source):
 Linear-systems/663314: 9x-3>6x-121 solutions Answer 412717 by jim_thompson5910(28476)   on 2012-10-08 15:55:38 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Add to both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is