12/23/20

Sodium-24 has a half-life of 15 hours. When will 4 mg of Sodium-24 remain if the original sample contains 64 mg?
Sodium-24 has a half-life of 15 hours. When will 4 mg of Sodium-24 remain if the original sample contains 64 mg?
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12/22/20

Discrete Mathematics

Conjecture a simple formula for an if the first terms of the sequence an are 1,7, 25, 79, 241, 727, 2185, 6559, 19681, 59047.
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12/22/20

Discrete Mathematics
Let p, q, and r be propositions.(a) Use logical equivalences (De Morgan's laws, etc.) to show that ¬(p ∨ (¬p ٨q)) ≡ ¬p ٨ ¬q.(b) Show that (p ⇒ r) ∨ (q ⇒ r) ≡ (p ٨ q)) ⇒ r (use any method you like).
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12/22/20

Bayesian Statistics Question
Suppose that you are about to analyze new data from an experiment, with particular interest in estimating a parameter β that varies by group. Published data suggests that β has a mean of about 1.2... more
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12/22/20

Homework: Vectors (Section 8.4)
A person leaves home and walks 3 miles west, then 4 miles southwest.How far from home is she?   miles:In what direction must she walk to head directly home?   degrees North of East:
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12/22/20

sampling distributions
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14.1 years, and standard deviation of 0.8 years.If 16 items are picked at random, 4% of the time their... more
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12/21/20

Use Newton's Method to approximate a solution of the equation e^(-x)=5x+9, starting with the initial guess indicated. x1=-4. x2=? x3=? The solution found by Newton's Method is x=?
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12/21/20

Solve for X, Pre calculus
X^3-8x^2+5x-14=0 
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12/20/20

A population of a region is observed to be changing exponentially. Initially, the population had 28000 people, and after 5 years it had increased by 9%.
A population of a region is observed to be changing exponentially. Initially, the population had 28000 people, and after 5 years it had increased by 9%. If this growth continues, what is the... more
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12/20/20

Rotation of Ellipse: What would be the best way to simplify this equation to its standard form 7(sq root 3x - y/2)^2 -6sq root 3(sq root 3x-y/2)(x+sq root 3y/2)+13(x+sq root 3y/2)^2-16=0
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12/20/20

Discrete Mathematics
Let A and B be subsets of the set S, where S = 10 and B = 5. Let f: A → Bbe a function.(a) If f is one-to-one, what are the possible values of A?(b) If f is onto, what are the possible values of... more
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12/20/20

Discrete Mathematics
Let B be a subset of A. Let A = n and B = k. What is the number ofsubsets of A whose intersection with B has 3 elements?
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12/20/20

Discrete Mathematics
Prove that if n is a perfect square, then n + 2 is not a perfect square.
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12/20/20

Find the global maxima and minima
Find the global maxima and minima for the function x^2+2y^2 on the interior of the triangle with the vertices (-1,2), (-1,-1), (2,-1).
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12/19/20

Find a and d for the function f(x) = a cos(x) + d such that the graph of f matches the figure.
a =d =
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12/19/20

Consider the definite integral ∫[1 0]x^(2)\sqrt{ 4x+8}dx. Find u, f(x), g(u), a, b, and the value of the definite integral.
u=?f(x)=?g(u)=?a=?b=?value of the definite integral=?
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12/19/20

∫ [10 3]f(x)dx-∫ [6 3]f(x)dx=∫ [b a]f(x)dx. where a= and b=
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12/19/20

isn't it a question on conditional probability? If not then why?
A bag contains 3 red marbles and 4 blue marbles. Two marbles are drawn at random without replacement. If the first marble drawn is blue, what is the probability the second marble is also blue?
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12/19/20

transformation of functions
find g(x) where g(x) is the translation 4 units right and 2 units down of f(x)= - (x-3)^2+8
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12/18/20

Find (f^-1)(−2) if f(x) = x.sqrt(3 + x^2) and if f ^-1(x) exists.
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12/17/20

what is the probability that both red and blue marbles were removed from the bag?
There are 3 red and 4 blue marbles in a bag. Simultaneously at random, 3 marbles are removed from the bag. If at least 2 of the marbles removed from the bag are blue, then what is the probability... more
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12/17/20

A and B are events in a sample space S.
A and B are events in a sample space S. 
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12/17/20

Optimization (Application in Calculus)
An individual’s ABG oxygen level, L , at time t ∈ (0, π) , is given by L(t) = 90 +sin(2t) + cos(2t). Find the values of the maximum and minimum oxygen level. When do thesevalues occur?
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12/17/20

Probability Question
If 10 people consisting of 5 married couples, are randomly arranged in a row, find the probability that no person is next to their spouse. Give the numerical value of this probability.
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12/17/20

Probability Question
A big box contains 14 pairs of shoes. If 9 shoes are randomly selected from the box, find the probability that there will be EXACTLY two complete pairs.
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