Math Answers

In a town, 10 accident took place in 50 days assuming that the no. Of accidents follow Poisson distribution, find the probability that there will be 3 or more accidents in a day.

ST.A distance is measured as 27.3 inches and 15.6 inches with the standard deviation (error) of 0.16 inches and 0.08 inches respectively. Determine the mean and the standard deviation of the sum. 

ST. There are three identical boxes. The first box contains 26 white balls, the second box contains 15 white and Il black balls,

in the third box we have 26 black balls. From the random box we take one white ball. Calculate the probability that a white ball is removed from the first box. 

ST. Calculate the variance of a random variable ξ, such that P(ξ=0)=0.2,P(ξ=1)=0.3,P(ξ=2)=0.5.

R= {(1,3) ,(1,4) , (3,2) , (3,3), (3,4)} on A={1,2,3,4}

If P20,000 will accumulate to P45,758.55 in 4 years, what is the interest rate compounded semi-annually?

If P20,000 will accumulate to P45,758.55 in 4 years, what is the interest rate compounded semi-annually?

Find the volume of the solid generated by revolving the region bounded by the curves about the y axis y=x^3 , x=0 , y=1

A production facility contains two machines that are used to rework items that are initially defective. Let 𝑋 be the number of hours that the first machine is in use and let 𝑌 be the number of hours that the second machine is in use, on a randomly chosen day. Assume that 𝑋 and 𝑌 have a joint probability density function given by 𝑓(𝑥) = { 3 2 (𝑥 2 + 𝑦 2 ) 0 < 𝑥 < 1 𝑎𝑛𝑑 0 < 𝑦 < 1 0 𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒. a. What is the probability that both machines are in operation for less than half an hour? 

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1. The volume of a sphere is increasing at the rate of 6 cm^3/hr. at what rate is the surface area increasing when the radius is 50cm?

2. a plane 3000ft from the earth's surface is flying east at the rate of 120mph. it passes directly over a car also going east at 60mph. how fast are they separating when the distance between them is 5000ft