11/25/20

If 8 pairs of fair dice are rolled, approximate the probability that the sum of the values obtained (which ranges from 16 to 96) is between 30 and 40 inclusive.
If 8 pairs of fair dice are rolled, approximate the probability that the sum of the values obtained (which ranges from 16 to 96) is between 30 and 40 inclusive.
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11/24/20

CALCULUS QUESTIONS
Given F(x)=f(g(x)), where f(3)=4, f'(-4)=8, f(3)=5, g(3)=-4 and g'(3)=6. Find F'(3)
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11/24/20

Non-Right Triangles: Law of Cosines
A pilot flies in a straight path for 1 hour 15 minutes. She then makes a course correction, heading 55 degrees to the right of her original course, and flies 2 hours 45 minutes in the new... more
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11/23/20

Suppose − π/2 < φ < 0 and cos ⁡ ( φ ) = 2/3. What is cos ⁡ ( φ/2 )?
Need to know if the answer will be positive or negative pls!
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11/23/20

(2x+1)/(2x+5)>(x)/(2x+5)
Solve the nonlinear inequality and find the x.
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11/23/20

Finding the solution to the recurrence relation
Please help me prove which {an} is the solution to the recurrence relation an = 2an-1 - an-2.a) an = -5nb) an = 5-nc) an = 5nd) none of the abovePlease provide solution. I want to know how to get... more
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11/23/20

Volumes: Cross-Sectionals
Find the volumes of the solids whose bases are bounded by the circle x2 + y2 = 4, with the indicated cross sections taken perpendicular to the x-axis.(a)semi-circles(b) isosceles right triangles
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11/22/20

A parabola is shown graphed to the right that is a transformation of y= x^2. the transformation includes a vertical stretch and a verticle shift. what are the stretch and shift
Based on your answer, write an equation for this parabola the points given are (-2, 1)(-1,-5) (0,-7) (1,-5) (2,1)
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11/22/20

The rate at which the angle of elevation is changing

An airplane flies at an altitude of 5 miles toward a point directly over an observer. The speed of the plane is 600mi/h. Find the rate at which the angle of elevation is changing when the angle is... more
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11/22/20

Statistics, Exponential Distribution
Given an exponential distribution Y with mean 10, find the mean and variance of 𝐶=100+40𝑌+3𝑌2 .
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11/22/20

open rectangular box with square base
An open rectangular box with a square base has a surface area of 300 square inches. Find the dimensions that give the maximum volume. What is the maximum volume?HINT: The surface area of an open... more
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11/22/20

Testing Convergence: Convergence Tests
I need help finding wether the following series converges or diverges. Thank you!∑𝑘=1 ∞. 𝑘 sin(𝑘) / (𝑘^2 + 1)
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11/22/20

What is the probability that a randomly selected member of the club?
1. Forty percent of the members of the Chicago Charges Track and Field Club participated in 40 % of the events at the recent provincial meet, while 34% entered the field events, and 18% entered... more
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11/21/20

A lake contains two kinds of trout, rainbow and brown.
2. A lake contains two kinds of trout, rainbow and brown. It is estimated that 40% of the trout are rainbow. Of the rainbow trout, 60% are mature, and of the brown trout, 30% are mature. You have a... more
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11/21/20

the shorter leg of a right triangle is 5 cm shorter than the longer leg the hypotenuse is 5 cm longer than the longer leg find the side lengths
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11/21/20

Expected Value and Statistics
If X is a continuous random variable with density function f (x) that is an even function and E(X) exists, show that E(X) = 0
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11/21/20

Probability Question Normal Distribution
Given that X has a normal distribution with mean 10 and standard deviation 2,find: P(9 <=X <=12) If P(a <= X <= b) = 0.95, then find a and b.
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11/21/20

Solve 0≤x2−8x≤20 algebraically. Graph the solution.
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11/21/20

I can't figure out how to do this Trig function equation.
sin^2 theta * cos theta = cos theta over the interval [0 degrees, 360 degrees)answer is in degrees
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11/21/20

pre- Cal (decompose h(x))
h(x) = e − √ x . Given h(x) = f(g(x)), decompose h(x) into its parts. f(x) = g(x) =
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11/20/20

Definite intergrable

Consider the definite integral ∫ 3 0 2 + √ 9 − x 2 dx. (a) Approximate the integral with a LHS with n = 3. (b) Approximate the integral with the Trapezoid Rule with n = 3. (c) Approximate the... more
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11/20/20

The function f(x)=2/(1+9x^2) is represented as a power series f(x)= ∑n=0 to ∞ CnX^n
The function f(x)=2/(1+9x^2) is represented as a power series f(x)= ∑n=0 to ∞ CnX^nFind the first few coefficients in the power seriesC0=C1=C2=C3=C4=Find the radius of convergence R of the power... more
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11/20/20

Set Theory - An example that disprove the statement
P(A\B) = P(A) if and only if A and B are disjoint setsI am looking for an example to disprove it.I found that:A = { n | n * n=1, n ∈ Z}B = {1}Is it correct? If not, can you please give me an... more
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11/20/20

Calculate the approximation

Calculate the approximation 𝑀4 for the given function and interval. 𝑓(𝑥)=3^−𝑥,[1,3]
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11/20/20

Let V be the volume and S the total surface area of a solid right circular cylinder that is 5 ft high and has a radius r ft. Find dV/dS when r = 3.
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