05/07/16

Find a polar equation of the conic

Find a polar equation of the conic in terms of r with its focus at the pole.   Conic: Ellipse Eccentricity: e=1/4 Directrix: y=1   r=?

05/07/16

Find the coordinate of the point in the rotated coordinate system

The x'y'-coordinate system has been rotated Θ degrees from the xy-coordinate system. The coordinate of a point in the xy-coordinate system are given. Find the coordinates of the point in the... more

Double and half angles identities

Find the exact value.   tan 7π/12= sin 7π/6 /2 / cos 7π/6 /2 

what's the maximum value of y?

y≤-12x+2400 y≤6x   In the xy-plane, if a point with coordinates (x,y) lies in the solution set of the system of inequalities above, what's the maximum value of y?

Finding a distribution

Hey, I'm having trouble understanding the following question:Consider the random variable X that can take on the values1, 2, 3, 4, and 5. Assume that the numbers are equallylikely. Hence the... more

Central Limit Theorum

Assume the population mean is µ=12 and standard deviation 2. By Central Limit Theorem the random sample of 121 measurements from this population would have what kind of distribution?

Determining Probability from Expectation

A gambler is playing with a crooked(unfair) twelve-side die. The chances that certain side of a die will turn up is given in the table below, except for P5 and P6. Find P5 and P6 if it known that... more

Calculus I Optimization

A rectangular storage container with an open top is to have a volume of a  cubic meters. The length of its base is twice the width. Material for the base costs a  dollars per square meter. Material... more

Compute the corresponding z-value for the following situation:

A newspaper claims that 52% of voters will vote for a particular candidate in an upcoming election. A random survey of 1000 voters shows that 48% will vote for that candidate, with a standard... more

05/05/16

Possible roots? help

P(x) = 3x5 + 3x4 + 2x2 - 4Possible Roots:     Use Descartes' Rule of Signs to analyze the zeros of the following. List all possibilities.

Use the change of base formula to write the following in terms of natural logarithms.

Log8(3)   A. ln(8/3) B. ln(3/8) C. ln(3)-3ln(2) D. 1/3ln(3)/ln(2) E. 3ln(2)/ln(3) F. None of the above

Find its displacement?

A weight stretches a spring 1.5 inches in equilibrium. The weight is initially displaced 8 inches above equilibrium and given a downward velocity of 4 ft/s. Find its displacement for... more

05/01/16

Find the area of the region R bounded by the curve r = 6cos 0

Find the area of the region R bounded by the curve r = 6cos 0

P(x)= 2x5-3x4-5x2-2. How many times can the total profit become zero? (hint: use Descartes's rule of signs. A. 2 or 0 B. 5 or 3 or 1 C. 3 or 1

Polynomial function A company estimates it's total profit, (profit = total revenue- total cost) asP(x)= 2x5-3x4-5x2-2.Where P is in thousands of dollars and x is the number of years elapsed since... more

Multivariate normal distribution

1. Suppose that (i) ε ∼ N(0,σ2); (ii) X∼N(μ,τ2); (iii) ε⊥X; (iv) Y =α+βX+ε. (a) Find the conditional distribution of Y given X = x. This is the answer: (a) Y|X=x∼N(α+βx,σ2)But I have no idea how to... more

Probability Distribution Function

The probability distribution for a random variable x is given in the table. find the probability that -2 ≤  x ≤  2.   x -5, -3, -2, 0, 2, 3 Probability .17, .13, .33, .16, .11, .10

04/30/16

Assist with answers and working out.

a) Show that 1/r(r+1) =1/r - 1/r+1   hence, show that (the sum from r=1 to n)  ∑ 1/r(r+!) = 1 - 1/n+1                           deduce that Sn the sum to infinity, if it exists.     b) The... more

Probability and Statistics

Find the probability of at least one failure in five trials of a binomial experiment in which the probability of success is 30%. Round to the nearest tenth of a percent.

find the probability of guessing correctly at least 6 of the 10 answers on a true or false examination.

the correct answer is 193/512   please explain and show all working. thanks very much! 

04/29/16

help with this math question

A series has sum Sn =n(2n-1) i) find, in terms of n, the nth term of the series. ii) Hence, show that the series is an AP   c. Find an expression for the sum to infinity of the Geometric... more

exponential

2^x=16^x-1

04/27/16

Find a polar equation of the conic in terms of r with its focus at the pole.

Find a polar equation of the conic in terms of r with its focus at the pole.   Conic: Parabola Vertex: (4,0)   r=?

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