Sunday
May 1, 2016

# Posts by Pendergast

Total # Posts: 33

math 3
4/10 chance of rolling 10 3/10 chance of rolling 5 2/10 chance of rolling 25 1/10 chance of rolling 27 Expected value is the sum of the outcomes multiplied by probabilities = (4/10)(10) + (3/10)(5) + (2/10)(25) + (1/10)(27)
June 11, 2012

math 3
duplicate question
June 11, 2012

math
sum of first 5 natural numbers = (5)(6)/2 sum of first 21 natural numbers = (21)(22)/2 sum of first 30 natural numbers = 465 = (30)(31)/2 sum of first n natural numbers = (n)(n+1)/2 -- provable by induction
June 11, 2012

math
C(7,2)*C(8,3) ways of choosing 2 out of 7 men and 3 out of 8 women. C(n,k) = n!/[(k!)(n-k)!] C(15,5) ways of picking 5 committee members out of 15 probability of selecting 2 men and 3 women is good over total -- C(7,2)*C(8,3)/C(15,5)
June 11, 2012

math
Probability of getting 0 heads is 1/2^6 Probability of getting at least 1 head is the complement -- 1 - 1/2^6
June 11, 2012

math
Let b be the number of boys, g be the number of girls. "54 pupils in class" b + g = 54 "3 more boys than girls" b = g+3
June 11, 2012

algebra
87/400
June 11, 2012

Math Algebra
There are 3 terms, so it is a polynomial. The only variable is x. The highest power of x is x^2 - the degree is 2.
June 10, 2012

math
The candle has burned up (8hrs)(0.4cm/hr).
June 10, 2012

precalculus/trigonometry
Intersections with y=x^2 at x=-2 and x=4 describes two points: (-2, y=(-2)^2) and (4, y=4^2) Find the line between those two points.
June 10, 2012

Calc
Break it into two integrals, integral (sec^2(x)tan(x))dx and integral(-tan(x))dx. Both can be solved using u substitution.
May 30, 2012

pre algebra
Does the second roll depend on the outcome of the first roll? (If so, we call the events "dependent". If not, we call them "independent")
May 30, 2012

pre algebra
The area is A = pi*r^2 We know A = 3.7994ft^2, we know the value for pi. 3.7994ft^2 = pi*r^2 Solve for r.
May 30, 2012

Math
The cliff makes a right angle with the ocean. The two legs are 50m (the cliff) and 950m (distance on the ocean from the cliff to the ship). Draw the triangle for that, the rest follows.
May 30, 2012

algebra
Use long division.
May 30, 2012

Algebra 2
The probability of drawing an even chip is 2/5, and the probability of drawing an odd chip (which does not change due to replacement) is 3/5. (2/5)*(3/5)
May 30, 2012

math
Assuming fair coins, the probability of obtaining heads on one coin is 0.5. Obtaining two heads has probability 0.5*0.5.
May 30, 2012

math
There are 7 bronze trophy winners and 7+14+10=31 classmates in total. 7/31
May 30, 2012

Math
f: T->S is a surjection, so a function g: S->T exists. g takes elements of S to t_i, i in N injectively since f exists. Intuitively g can be rewritten to take elements of S to N. Formally, let h:T->N, with h(t_i) = i. Then h(g): S->N.
May 30, 2012

1), 3) check your algebra 4) I'm not sure where you went wrong on this one. However, sqrt(6)-sqrt(2)/4 is greater than 1 (2.0959 in fact) 2), 5) are correct
May 30, 2012

geometry
I assume the the only forces on the rocket after launch are due to gravity. Gravity exerts an acceleration of -32ft/s^2. The height function h(t), derived from acceleration a(t) = -32ft/s^2, is h(t) = (1/2)(-32ft/s^2)*t^2 + v_0*t + h_0. v_0 is the initial velocity, and h_0 is ...
May 30, 2012

geometry
I don't understand the question. You want to find a and b, yet you state their values.
May 29, 2012

Calm down, it's not that difficult. Your child is making valuable use of his last week in school. Think back to your mathematics background - I'm sure you understand this sufficiently to explain it. 86/9 -- 9*9 = 81, so 86/9 = 9 remainder 5. Find the largest multiple ...
May 29, 2012

pre algebra
There are 4 friends - 4 choices for the first friend to be picked up. For every choice of the first picked up, there are 3 friends left - 3 choices for the second friend to be picked up. Following the pattern, 2 choices for the third friend, 1 choice for the fourth. 4*3*2*1 = 24
May 29, 2012

Sam has 4 chores to complete - he can choose the order. He has 4 choices for the first chore. For each choice of the first, he can choose 1 of the 3 remaining for the second chore. etc. 4*3*2*1 = 24 This is more generally known as the ordering problem -- there are n! ways to ...
May 29, 2012

pre algebra
The volume of a cone is given by V = (1/3)*pi*r^2*h. We're given V and h, so solve for r. Remember, the diameter is two times the radius.
May 29, 2012

pre algebra check
Correct.
May 29, 2012

Geometry
The 3-dimensional box cannot be described by 2 dimensions.
May 29, 2012

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