Monday
April 21, 2014

Posts by MathMate


Total # Posts: 9,948

math
See your other post: http://www.jiskha.com/display.cgi?id=1369848822

math
There are 10! ways to place 10 students in 10 chairs in a row. There are 8! ways to arrange a group of 3 students with 7 other students. Among the three students (in a group), they can arrange themselves in 3! different ways. So the probability that they will be seated togethe...

math
Is the 10 a denominator of the fraction (5-x)/10?

math
Can you please type in the definition of the function exactly as you are given? As it is, it is unclear as to what the function is.

math
What is the domain of the function? P(x)=10 for x=1,2,3,4 and = 5-x otherwise? What is the 10 doing there, please?

Maths
This one has been answered before, just before you stopped posting the remainder. Use intersecting chord properties. The intersection could be inside or outside the circle. AB and CD are chord which intersect at O (inside or outside the circle). Then OA*OB=OC*OD

Maths
If we sum the sequence, S=&sum i, i=1,801, we have S=3²*89*401, as prime factorization. Thus the largest number of groups is 401 sets, each sum would therefore be 801, as follows: {1,800},{2,799}...{399,402},{400,401},{801} for a total of 401 sets.

math - discrete math
We will assume "ways" means order is important, i.e. $5 followed by 5 $1 coins is not the same "way" as 5 $1 coins. We will separate the problem into a few parts. A. No $5 bill $1 bills and coins only, ten of them. Each $1 we have a choice of two ways, coin...

Math
Solve for t in d(t)=25 and d(t)=0, where d(t) is given as: d(t)= -5t^2 + 10t + 20 we find that d(1)=25, and d(3.23)=0. Note: not sure if the diver was on earth. The acceleration due to gravity is only 10 instead of 32.2 f/s2 unless the distance d is in metres.

Physics
Case 1: zero friction F=mg sin(28) a=F/m=g sin(28) S=ut+(1/2)at² 100=0+g sin(28)t²/2 t=sqrt(2*100/(g sin(28)) =6.59 s. Case 2: μk=0.17 Frictional force =μmg cos(28) Net force (assuming μcos<sin) =mg(sin(28)-μcos(28) t=sqrt(2*100/(g (sin(28)-μcos(28)...

Statistical probability411
If order is not important 14C7=14!/(7!7!) ! means factorial 7!=7×6×5×4×3×2×1 If order is important, which is not explicit in the question, then the answer is 14P7=14!/7!

Statistical probability411
14C7=14!/(7!7!) ! means factorial 7!=7×6×5×4×3×2×1

math
I think you mean probability is m/n, where m≤n.

math
Perimeter=10, therefore sum of two sides =5. Try sides 2 and 3, area=6, so height=222/6=37. Height=37.

algebra probability34
No replacement (otherwise two identical poems) Total=4+5+2+2=13 poems 5 Colerdge, 2 Byron So P(CB)=(5/13)*(2/12)

algebra probabilty34
14 choose 7 =14C7=14!/(7!7!)

math
The closest point (x0,y0) on the circle to point (x1,y1) of the circle is if (x0,y0) lies on the radial line passing through (x1,y1). To show this, first find the centre of the circle x^2+y^2=1 is a circle with radius 1 and centre (0,0). The line through (0,0) and (3,4) is L :...

Statistics
For mean, you add up all numbers and divide by the size of the population. For median, you need to sort them in increasing order, and take the mean of the two middle numbers (average between 25th and 26th values for N=50). Since the data represent the whole population, they ar...

statistics- correction
N=10C5=10!/(5!5!)=252

statistics
Assume There are N=10C5 ways of randomly choosing 5 horses out of 10. where N=10!/(5!5!)=25 We assume that 1. order does not count, 2. winning probabilities are equal among horses, 3. results are completely random. Then the owner has one chance in 252 that his 5 horses are pla...

Math :)
You're welcome!

Math
April, I see that you have many questions, but have yet to see efforts on your part. I have given a complete solution for this one in the hope that it will help you solve similar problems. If you can show some understanding of the subject matter, such as explaining what exactl...

Math
Net price factor for 25/15/10 is 0.75*0.85*0.9=0.57375. 0.75 comes from 1-25%, 0.85 comes from 1-15% 0.9 comes from 1-10%. The net price is $800*0.57375=$459

statistics
Normally distributed data are symmetric about the mean, so 50% goes above and the other 50% goes below the mean.

statistics
By definition: P(B|A)=P(B∩A)/P(A) So 0.4=P(B∩A)/0.5 Solve for P(B∩A)

statistics
1.0 When data fit exactly onto a straight line, the correlation coefficient is either +1 or -1. If the slope of the line is positive, r=+1. If the slope of the line is negative, r=-1. In this case, the slope=+2, so r=+1.0

Math
Zero. g(x) is the tangent to f(x) at x=-3. Show that this is the case by solving for x in the equation f(x)=g(x) and show that it has a double root.

French
Conjugaison du verbe "avoir" (to have) au présent indicatif: j'ai tu as il a nous avons vous avez ils ont Since your subject is "je", or I, first person singular, we need to use "ai". "as" is for second person singular. Also, ...

math
45-45-90 triangle is isosceles. The other short side is therefore also x. Using Pythagoras theorem, we find hypotenuse²=x²+x²=2x² Solve for hypotenuse.

coefficients
A coefficient is the numerical part of each term. 5x^2+3x+66 has coefficients 5, 3, and 66 for the first, second and third terms respectively.

Polymonimals!
When you have a negative sign preceding parentheses, do an extra step to remove the parentheses: (m^2-m-4)+(m-5) =m^2-m-4+m-5 =m^2-m+m-4-5 =m^2-9

vectors problem!!!! help!!!! :)
You're welcome!

vectors problem!!!! help!!!!
This is the magnitude of the cross product. The cross product is obtained by evaluating the determinant p i j k 2 9 0 13 18 0 which is p=0i+0j+(2*18-9*13)k =-81k The magnitude is therefore 81.

Statistics
I think you have the right formulas, but the wrong N. N equals 5 (count either number of x values or number of y values). So SSx=197-31²/5=4.8 SSy=39000-440²/5=280 Sxy=2760-31*440/5=32 r=Sxy/sqrt(SSx*SSy)=0.87287

Statistics
I was questioning SS(xy) only. We need Sum of xy for calculating other parameters, but not sum of squares of xy. How did you get your answers? I got 197 for SS(x). All of your answers seem to come up a little more than half of mine.

Statistics
I do not know if we use the same terminology. Is SS(x) sum of squares of x? If it is, I get 197. Would it be S(xy) instead of SS(xy), meaning just the sum of the products? Does r mean coefficient of correlation, which has a range of -1 to 1. If you get 7.04, perhaps you are ca...

help!!!!! Probability!!!::)
You're welcome! It would be even better if you would not use various aliases.

help!!!!! Probability!!!
Assume die is fair. Rolling twice gives 36 outcomes, of which the second roll is strictly less than the first (successes) can be enumerated as follows: 21,31,32,41,42,43,51,52,53,54,61,62,63,64,65 Count how many successes there are, and divide by the size of the sample space (...

math
There is not much to simplify. Is the integration from a to b or from b to a? Your answer is close, but has the wrong sign and missing a term. Remember that e^0 is 1 and not zero.

integral calculus
You may want to show your work to know how you got your answer. The good news is that your indefinite integral is correct, but off by 1/24, which can be absorbed in the integration constant. Depending on how you integrated, it could give equivalent results of: (3sin(x)^4-2sin(...

Engineering science
Hints: Kinetic energy, KE=(1/2)mv² where m=mass of object (kg) v=velocity (m/s) Potential energy =mgh m=mass in kg g=acceleration due to gravity, m/s-2 h=height above datum in m. To calculate h, you need the distance travelled. For uniform acceleration, distance d, is the...

math
The question gives the length of the original log as 50 cm (unless there is a typo). If the two pieces are equal, then each piece would measure 50/2 cm = 25 cm.

Statistics
Maple can certainly find r, called the coefficient of correlation. The coefficient of correlation, r, for a population can be calculated using the following formula (one of the different forms): r=(nΣxy-(Σx)( Σy)) / √[(nΣx²-(Σx)²)(...

Statistics
Are you expected to use Maple to do this exercise? What are the answers?

math
According to the question, 5.13 is in tens of thousand of dollars, so the correct answer should be $51300, and the $ sign is already given before the answer box, right?

math
"y (in tens of thousands of dollars)"

physics
Acceleration of an object in circular motion is: magnitude = v²/r v = 2 m/s r = 0.5 m Direction is towards the centre of the circle. Mass is irrelevant (unless you need the force on the string).

math
Since the fraction of boys who play the games cannot exceed 1, so 4/7+5/8-1 is the fraction who plays both games. 5/8+4/7 - 1 =(35+32-56)/56 =(67-56)/56=11/56

French
Bravo, c'est une production écrite créée avec soin! A few little things: - "à Dubai mall" : do you mean a shopping centre? (centre commercial) unless it is a proper name, in which case you would write "Dubai Mall". - "po...

Math
Let's say we each have two apples. If I give you one apple, you have three and I have one. So the difference is 2 apples. If I give you two apples, you have four and I have none, the difference is 4. We conclude therefore that for every apple I give you, the difference inc...

Math (Absolute Value Inequality)
You probably would like to find the value of a. We established that to satisfy the quadratic inequality x^2−11x−210 < 0 -10<x<21 Now substitute this interval into each of the two linear inequalities: x-8<a and 8-x <a (-10)-8<a => a>-18 8-(-1...

Math (Absolute Value Inequality)
If we would like to satisfy the condition: x^2−11x−210 < 0, we need to find the roots of x^2−11x−210=0. By factoring, we have (x-21)(x+10)=0 The leading coefficient (of x^2) is positive, so the curve is concave up. => x<0 between -10 and 21. To...

Math/Algebra
The ellipse is centred at the origin (0,0). The standard formula for the ellipse is then x²/a²+y²/b²=1 where 2a=distance between vertices on the major axis =(5-(-5)=10, so a=5 Distance between foci 2c=(4-(-4))=8 so c=4 To find b, we use the relation a²...

divide radical
Hint: factorize the numerator: 2b²+2b-6 =2(b²+b-3) which does not have rational factors. You will need to do a division, which is called the Euclidean division (long division), or another method is the synthetic division. It is a little difficult to show the method h...

Maths
Line with slope a through a point (x1,y1) has the equation: y=a(x-x1)+y1 Putting a=-2, (x1,y1)=-1,6), we get the line as: y=-2(x-(-1))+6 or y=-2x+4 ....(1) Substitute x=4 in equation 1 to find the value of y, which is the required unknown.

Geometry
Without knowing the 8 steps to which you are referring, you can do the following: Factor both numerator and denominator: R(x)=(x-5)(x+6)/[(x-5)(x+4)] You will find the zeroes and asymptotes. Since there is a common factor (x-5), the point f(5) is indeterminate and should be ta...

MATH315 Elementry Statistics
Some of the requirements of a binomial model are: 1. probability of success is known and does not vary over the experiment 2. Has exactly two outcomes (head/tail, success/failure). 3. has one or multiple steps 4. is a random experiment

Math
Not sure if I understood the question. Does it mean that we need to write the formula A=(B+b)h/2 without using parentheses AND without using the multiplication sign? Would it be: A=Bh/2 + bh/2

Math
Yes, the calculation is correct for the net price factor.

math :)
You're welcome!

math
Hint: a sector is a pie-piece, similar to a slice of pizza. The area of a sector of a given radius is proportional to the central angle. Area of Sector -------------- Area of circle central angle =------------- 360°

math :)
You're welcome!

math
Do it just like normal subtraction, except that when you borrow 1 degree, it becomes 60 minutes, ... 41-20-26 23-39-56 -------- 17-40-30

PHYSICS
Does it come with a diagram?

chemistry
Zn+2HCl -> ZnCl2 + H2 5.5 g of Zn = 5.5/65.382 M =0.0841 M 25 ml of 0.05M HCl = 25/1000*0.05 M = 0.00125 M < 0.0841/2 So the quantity of HCl governs. Assuming all HCl is consumed, amount of Hydrogen = 0.00125/2 M = 0.000625 M Convert that to the required temperature and ...

French :)
Je vous en prie!

French
Give it a try! You must know the name.

French
camping is an English word borrowed by the French language which means 1. the activity of camping 2. camp-ground. "Comment s'appelle" is an expression which translates to "what do you call ...." "ce" => this "terrain de camping" =...

math :)
You're welcome!

math
If the length of one of its sides is x. Then x/2 is half the side. An altitude divides the equilateral triangle into two congruent right triangles, each with half of one side (x/2) as the short side, the altitude as the long side, and the side (x) as the hypotenuse. So by usin...

math :)
You're welcome!

math
a' ÷ a = b' ÷ b so a' = b' × a / b

math :)
You're welcome!

math
Do you mean sin-1(0.398) = ? ° ? ' ? " = 23.45320822° multiply the decimal part by 60 =23°27.19249' multiply the decimal part by 60 =23°-27'-11.55" (approx.) =23°-27'-12" (nearest second)

math
Every 5 minutes, the minutes hand turns 30° If it turns 360° (from 12 to 12), then the distance is 43.96. You can use proportions to find how much distance the tip travels from 1 to 4.

math
If the 7-inch hand goes through a complete circle, it would travel the equivalent of the circumference of a circle of radius 7 inches. Use Circumference = 2πr How far would the tip travel from 1 to 4 o'clock?

probability
See response to your previous post: http://www.jiskha.com/display.cgi?id=1369507871

French
According to the Petit Robert dictionary, it also stands for vélo tout-terrain, which means mountain-bike. So the meaning can differ from one country to another.

French
Véhicule tout-terrain

Statistics
Here are some numbers for checking your answer. approximately y=2.3x+23 The correlation coefficient is over 0.99.

algebra
Reflection about the y-axis is given by: (x,y)-> r(-x,y)

Math
It is a binomial distribution, with p=0.6 (probability of success) q=0.4 (probability of failure) n=5 (number of steps) r=2 or 3 (number of successes) P(n,r)=nCr p^r q^(n-r) P(5,2)=5C2 0.6^2 0.4^3 =(5!)/(3!2!) 0.6^2 0.4^3 = 10(0.36)(0.064) = 0.2304 Similarly, for 3 tails, r=3,...

simple interest and compund interest.
It sounds like you have difficulties putting numbers into the formula you gave me, so I will do the first one for you. You can attempt the second one as a confirmation. A=P(1+rt) Since A=amount, so Amount=P(1+rt) P=3000, so Amount=3000(1+rt) r=0.03 (3%), so Amount=3000(1+0.03t...

simple interest and compund interest.
A=amount P=principal=$3000 r=0.03 t=number of years, missing from question. Take out your calculator and calculate according to the formula: A=P(1+rt) Here i=5%=0.05/12 (compounded monthly n=6 years = 6*12=72 months P=principal (unknown) A=final amount = $15000. From A=P(1+i)^...

HealthCare Finance Bonds
Sorry, meant "going back to IRS"

HealthCare Finance Bonds
a. At 12% yield, with 40% going back to IRA, he nets 12%(1-0.4)=7.2% b. and c dependent on answer of a, will give you a chance to try them.

Statistics
Here are a few articles that explain what a p-value is, with examples. One of them is a youtube link, if you so prefer. http://www.stat.ualberta.ca/~hooper/teaching/misc/Pvalue.pdf http://www.youtube.com/channel/HCM26EC2x5oEU http://en.wikipedia.org/wiki/P-value

expressions
Since the rate of filling is constant, it is a rule consisting of a linear expression. Let H=height, and x=number of days since today (day 0). Since water rises 2 feet per day, today's height, H = 14 feet. So the rule is then H = 14+2x where 2 = additional depth per day 14...

exponents :)
You're welcome!

exponents
#4 and #5 are both correct. For #8, it is x^8/y^8, since the question requires positive exponents. (You could have written it as x^8y^-8.) 1. 1/125 is 1/5^3. See if you can find the correct answer. 2. d^4*d^6 is d^10, so correction required. 3. the minus sign before the number...

scientific notation am i doing it right?
signature.

scientific notation am i doing it right?
Sorry, finger faster than the brain, forgot to change since last post.

scientific notation am i doing it right?
#1 is correct. The power of 10 refers to the number of positions the decimal point has to be moved, not the number of zeroes. So for #2, it should be 9.82000*100000=982000 Similarly, for #3, 9x10^3=9/1000=0.009 I will leave #4 for you to try.

scientific notation am i doing it right?
All correct, well done!

Sequences
Find the rule for number 2, which is a geometric series. You can tell if it is a geometric series by dividing any term by the previous. If the quotient is the same, then it is a geometric series. The rule for a geometric sequence is: t(n)=ar^n and r is the quotient by dividing...

Sequences
Let the nth term of the arithmetic sequence be t(n)=ax+b then t(1)=a(1)+b=7 t(2)=a(2)+b=12 Subtracting, we find 2a-a=12-7 which gives a=5 Substitute back into the formula, t(1)=5(1)+b=7, so b=2 the complete rule is then t(n)=5x+2 The nineteenth term is therefore t(19)=5*19+2=9...

polynomials am i doing it right?
You're on the right track... 1. expand it and write it out when it is a subtraction: (x^4+7x^3+7)-(2x^4-4x^3+1) = x^4+7x^3+7) -2x^4+4x^3-1 = -x^4 + 11 x^3 + 6 2. space out your terms to avoid losing some of them. (3n^3 + n^2 -n -4)+(5n^3 -4n^2 + 11) = 3n^3 + n^2 -n -4 + 5n...

How to get quick responses to your math questions
Also, - DO check that the question you are about to post is complete and accurate before pressing the "post" button. - Do not omit parentheses. If the numerator or denominator of a fraction has more than one term, you need parentheses around them when you transcribe ...

How to get quick responses to your math questions
Math is a wide subject, ranging from K to 11, college and university. Then there is algebra, trigonometry, geometry, arithmetic, calculus, number theory, ... etc. Not all teachers answer all math questions (many do). If you would give a little more detail on which branch of ma...

Physics
Hint: Find the resultant of the two given forces. The third force (which keeps the resultant in equilibrium) is a force which is equal in magnitude to the resultant, but opposite in direction.

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