# Math Homework Help

### Showing All Questions Answered Popular Recommended Unanswered Editor's Choice in Math

• Math
There are no conditions as such that must be met when estimating the probability of any event that occurs when a die is rolled 20 times. Each of the rolls is independent of the others and the...

Asked by joseph1985 on via web

• Math
`g(x)=1/3log_3(x-1)+3` : (1) The vertical asymptote is at x=1 (you cannot take the logarithm of 0). (2) Some points to plot: (2,3) since `g(2)=1/3log_3(2-1)+3=1/3(0)+3=3` `(4,3 1/3)` since...

Asked by jjazz4321 on via web

• Math
After 13000 cars of a certain model are sold, it is discovered that about 0.04% of these cars contain a part that could lead to an accident. A recall would cost the company \$18000 per vehicle. The...

Asked by utilityfan on via web

• Math
given y = (p+q+r) /4 multiply both sides by 4, we get 4y = (p+q+r)/4 * 4 = (p+q+r) that is 4y = p+q+r now to get q we have to eleminate p,q from the right side of the equation, so take -p-r on...

Asked by viyanah on via web

• Math
According to the drug company their drug is effective in relieving flu symptoms in 95% of the people who take it. However, another study showed that 26 out of 250 patients who used this drug did...

Asked by utilityfan on via web

• Math
Let the time taken for B to pass A be t. Then when B passes A, has travelled 1000 m more than A. Therefore, Distance travelled by B = Distance travelled by A +1000 To find distance travelled by B,...

Asked by przybyh on via web

• Math
We need the z-table to calculate this. `z = (x-mu)/sigma` If you refer to a z-table you would find that 23rd percentile lies with the z-value of -0.74. (you have to go backwards from the...

Asked by duncanm153 on via web

• Math
The scores for a particular examination are normally distributed with a mean of 54.8% and a standard deviation of 16.3%. To determine the probability that a student who wrote the test gets 75%,...

Asked by mathisgay on via web

• Math
We will use formula for binomial probability: b(n, x; p) = nCx*p^x*(1-p)^xwhere n = number of trial in a bonimial experiment (sample), x = number of successes that result from the binomial...

Asked by michie153d on via web

• Math
When Lee saw the result of an exam he had given to his grade 2 class, Louise's score was 95%. Also, the standard deviation for the test was 0. As the standard deviation is 0, the square root of the...

Asked by dumbmath on via web

• Math
There are 7 places in the committee. The number of adults without children is 4. The probability that all of them are chosen to the committee can be found as below. There are 19 persons...

Asked by math30fails on via web

• Math
In the 4th row there are 25 kids, 6 from grade 10, 8 from grade 11 and 11 from grade 12. The 3 CDs were won by students in the 4th row. The probability that the three winners were in the same grade...

Asked by math30fail on via web

• Math
You should write the constant term 4 as 8 - 4 such that: `4x^2 - 8x + 8 - 4 = 0` You need to form 2 groups such that: `(4x^2 - 4) - (8x - 8) = 0` You need to factor out 4 in the first group and 8...

Asked by kenziekid on via web

• Math
The identity `1/(sec^2x) = sin^2x*cos^2x + cos^4x` has to be proved. `sin^2x*cos^2x + cos^4x` => `(1 - cos^2x)*cos^2x + cos^4x` => `cos^2x - cos^4x + cos^4x` => `cos^2x` =>...

Asked by xetaalpha on via web

• Math
`f(x) = (e^x)/(x^2-1)` To find the critical points we have to find the derivative of f(x) `f'(x) = ((x^2-1)e^x - e^x(2x))/(x^2-1)^2` `f'(x) = (e^x((x^2-1) - (2x)))/(x^2-1)^2` `f'(x) =...

Asked by eurogirl-05 on via web

• Math
You may use the function `f(x) = root(3) x` , and you should use Lagrange's theorem over interval [64,68] to prove the inequality such that: `f(68) - f(64) = f'(c)(68 - 64)` You need to evaluate...

Asked by laerugum on via web

• Math
`sin A + sin B = 2 sin (A+B)/2*cos(A-B)/2` You need to use double angle identity such that: `sinC = sin 2(C/2)=2sin(C/2)*cos(C/2)` Since, A,B,C are angles of triangle, then the sum of the measures...

Asked by xiahsumy on via web

• Math
It has to be shown that `68^(1/3) -4 < 1/12` `4 + 1/12 = 49/12 ~~ (68.0839)^(1/3)` `(68.0839)^(1/3) > 68^(1/3)` => `4 + 1/12 > 68^(1/3)` => `68^(1/3) - 4 < 1/12` This shows...

Asked by jjverrite on via web

• Math
The identity `sin y*cos (x - y) + cos y*sin(x - y) = sin x` has to be proved. Use the relation `sin a*cos b = (1/2)(sin (a - b) - sin(a + b))` `sin y*cos (x - y) + cos y*sin(x - y)` =>...

Asked by theta123 on via web

• Math
For two perpendicular lines, the product of the slope is -1. For the equations of the lines given in the slope-intercept form: y=-x+2 : slope = -1 y=(2/3)x +2 : slope = 2/3 y= (2/3)x-5 : slope =...

Asked by jordo141 on via web

• Math
The disance between two points `A(x_1,y_1)` and `B(x_2,y_2)` is given by, `AB = sqrt((x_2-x_1)^2+(y_2-y_1)^2)` In the given two points, `A(k,0)` and `B(0,k).` `AB = sqrt((0-k)^2+(k-0)^2)` `AB =...

Asked by ponka on via web

• Math
The converse statement of the conditional statement is the following: "If the sum of the measures of two angles is 90 degrees, then they are complementary." The common biconditional statement is:...

Asked by yvonzkie98 on via web

• Math
`a^12x^4 - a^4x^12` `= a^4x^4(a^8-x^8)` `= a^4x^4(a^4+x^4)(a^4-x^4)` `= a^4x^4(a^4+x^4)(a^2+x^2)(a^2-x^2)` `= a^4x^4(a^4+x^4)(a^2+x^2)(a+x)(a-x)` Therefore, `a^12x^4 - a^4x^12 =...

Asked by mahi2698 on via web

• Math
The x-intercept of the line is (6,0) and the y-intercept of the line is (0,5) A line with x intercept a and y intercept b can be written in the intercept-intercept form as `x/a + y/b = 1` Here a =...

Asked by naimisha on via web

• Math
5 cards are drawn from a standard deck of 52. The probability distribution of the number of hearts drawn has to be determined. The number of hearts that are drawn can be 0, 1, 2, 3, 4 or 5. The...

Asked by utilityfan on via web

• Math
You need to write down the original function `y = x/(3x+2)` and then you should solve for x the equation `y = x/(3x+2)` such that: `3xy + 2y = x =gt x - 3xy = 2y ` You need to factor out x such...

Asked by jjazz21 on via web

• Math
The football kicker has a field goal conversion rate of 56.7% for kicks longer than 50 yards. The probability that 5 field goals are made in a row is `(0.567)^5 = 0.0586` If 25 field goals of this...

Asked by utilityfan on via web

• Math
The survey shows that of the 785 randomly selected subjects that have completed 4 years of college, 18.3% smoke and 81.7% do not smoke. The confidence interval with a 0.01 significance level is...

Asked by surfer3 on via web

• Math
Of the 5000 households with a TV set that were monitored 15% had tuned in to watch the show. The percentage not tuned in was 85%. The confidence interval with a 0.01 significance level is given by...

Asked by surfer3 on via web

• Math
When the z-score is given, the p-value can be estimated using the formula `int_(-oo)^z 1/sqrt (2*pi)*e^(-u^2/2) du` For a z-score of 2.5, the corresponding p-value is 0.0062 This is a very small...

Asked by surfer3 on via web

• Math
When the z-score is given, the p-value can be estimated using the formula `int_(-oo)^z int 1/sqrt 2*pi)*e^(u^2/2) du` For a z-score of -1.25, the corresponding p-value is 0.1056 This is a...

Asked by surfer3 on via web

• Math
Given `p(t)=5000/(1+e^((-2t)/3))` : This is a logisitics function in the form `y=a/(1+e^(-kt))` . In this form, 0 is a lower bound for the function and a is an upper bound. The function approaches...

Asked by maheen100 on via web

• Math
If you're looking for orthogonal vectors (and not orthonormal vectors), you have quite a bit of freedom, because you can scale them however you need. Thus, you really only care about whether your...

Asked by marduk13 on via web

• Math
The identity `(1 + csc x)/sec x - cot x = cos x` has to be proved. `(1 + csc x)/sec x - cot x` => `(1 + 1/sin x)/(1/cos x) - (cos x)/(sin x)` => `(cos x + cos x/sin x) - (cos x)/(sin x)`...

Asked by joana1234 on via web

• Math
The integral roots of x^3 - x = 0 has to be determined. x^3 - x = 0 => x(x^2 - 1) = 0 Use the relation a^2 - b^2 = (a - b)(a + b) => x(x - 1)(x + 1) = 0 => x = 0, x = 1 and x = -1 The...

Asked by asicannot41 on via web

• Math
The series given has the terms 4, 10, 16, 22... It is seen that 22- 16 = 16 - 10 = 10 - 4 = 6. This is an arithmetic series with the first term equal to 4 and the common difference equal to 6. The...

Asked by asicannot3 on via web

• Math
The integral `int (3x^2-4)/x^2 dx` has to be determined. `int (3x^2-4)/x^2 dx` =>` int 3 - 4/x^2 dx` => `int 3 - 4*x^-2 dx` => `3x - 4*x^-1/-1 + C` => `3x + 4/x + C` The integral...

• Math
You should remember how to evaluate the antiderivative of irrational function `sqrt(x^2+a^2) ` such that: `int sqrt(x^2+a^2) dx = (1/2)(xsqrt(x^2+a^2) + a^2*ln(x+sqrt(x^2+a^2))) + c` You need to...

Asked by tarfa123 on via web

• Math
x has to be determined given that `log_x(1/4) = -2/3 ` `log_x(1/4) = -2/3` => `(1/4) = x^(-2/3)` => `(1/8)^(2/3) = x^(-2/3)` => `8^(-2/3) = x^(-2/3)` As the base is the same equate the...

Asked by asicannot on via web

• Math
The given probability distribution is a binomial distribution with having a ticket is the favorable incident and let's assume its probability is P. The probability density function of a binomial...

Asked by mathisgay on via web

• Math
In the town 74% of the homes have satellite dishes. The percentage of homes without a satellite dish is 26%. Of the 50 people selected at least 42 of them should have a satellite dish. This is...

Asked by dumbmath on via web

• Math
`f(x) = x+7` `g(x) = 2x-5` `h(x) = 2x+4` What you have asked is just the simple arithmetic involved with functions. `f(x) + h(x) xx g(x) - 12` `= (x+7)+(2x+4)xx(2x-5) - 12` `=x+7 +...

Asked by jimone on via web

• Math
The expression 12c^2 + cd - 6d^2 has to be factorized. 12c^2 + cd - 6d^2 => 12c^2 + 9cd - 8cd - 6d^2 => 3c(4c + 3d) - 2d(4c + 3d) => (3c - 2d)(4c + 3d) The factorized form of 12c^2 + cd -...

Asked by lsstudent on via web

• Math
The equation of the line is 3x + 4y = 8. This can be rewritten in the slope-intercept form as `y = (-3/4)x + 2` . The line has a slope of `-3/4` . As the slope of a line is the tan of the angle it...

Asked by lxsptter on via web

• Math
The slope of a tangent drawn to the graph of any function y = f(x) at a point where x = c is given by the value of f'(c). If a line makes an angle of 45 degrees with the positive x-axis the slope...

Asked by lxsptter on via web

• Math
Statistics can be used to determine the affect on literary scores of the number of books read by a student. The study would involve choosing a large number of students that makes up a meaningful...

Asked by nhl123 on via web

• Math
You should write `sin x = sin(3x - 2x)` and `sin 5x = sin(3x + 2x)` such that: `sin(3x - 2x) + sin 3x + sin(3x + 2x)= (1+2cos2x)sin3x ` You need to use the following formulas such that: `sin(a -...

Asked by elahusb on via web

• Math
Five cards are drawn from a standard deck of 52 cards. A deck of cards has 13 hearts. The probability that there are 4 hearts in the 5 cards drawn is given by `(C(13, 4) + C(13, 5))/(C(52, 5)) ~~...

Asked by utilityfan on via web

• Math
(1)One possibility is to divide a circle into 7 congruent sectors. Color any two of them red, and the rest blue. Then attach a spinner; every spin should be random. If the spinner lands on red,...

Asked by utilityfan on via web