05/09/16
Calculus I Optimization
A rectangular box with square base and a fixed volume V is to be made from two types of material. The material for the top and bottom costs t cents per square inch and the material for the sides...
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05/07/16
How hard would he have to pull on the couch at a 25 degree angle to lift it off the ground?
Jack pulls a couch of mass 38 kg across his apartment . He pulls on the couch at an angle of 25 degrees with a force of 300 N.
Can someone tell me what formula to use and how I would go about...
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05/07/16
probability and statistics
3 cards are drawn randomly from a deck of 52 cards. What is the probability that at least one is a heart and one is a king?
Sets---Mean, Median
1. Use the data set {5, 21, 21, 25, 30, 40} to find the requested values: a. Mean b. Median c. Mode d. Range e. Standard deviation
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...
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05/07/16
Double and half angles identities
Find the exact value.
tan 7π/12= sin 7π/6 /2 / cos 7π/6 /2
05/07/16
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?
05/07/16
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...
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05/06/16
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...
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05/06/16
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...
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05/06/16
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...
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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.
05/04/16
The sum of two integers is 47. The larger integer is 1 less than twice the smaller. Find the two integers.
homework problem
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
05/02/16
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...
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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
04/30/16
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...
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04/30/16
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...
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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...
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04/29/16
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.
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