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I use a product that I buy at 25% strength. I have been offered the same product (at a big discount) at 70% strength. I use this product in various formulations in different quantities.

Somehow I don’t think that this is a simple rule of dividing 25 by 70 and then use the result (35.7%). Eg if I currently use 80 kg of 25% strength, would I then use 80 x 35.7% = 28.5kg of the 70% strength? This does not look right. Maybe I cannot clarify the equation in my mind correctly!!

Your Help is appreciated

Soil pollution at a disused industrial site is assessed.

The probability the site is polluted with organo-phosphates is 0.12;

The probability the site is polluted with lead is 0.10.

The probability the site is polluted with organo-phosphates or lead is 0.20;

Find the probability of the following:

a) The site is polluted with organo-phosphates, but not with lead.

b) The site is polluted with lead, but not with organo–phosphates.

c) The site is polluted with both organo-phosphates and lead.

d) The site is not polluted with any of the two pollutants.

e) The site is polluted with lead given it is polluted with organo-phosphates.

f) Are the events “polluted with lead” and “polluted with organo-phosphates” independent? Explain.

Please help

Help !!

What is the package factor for spheres in a spherical container ? We assume that the spheres are microscopic compared to the container. It does NOT equal Kepler’s conjecture which is valid for tetrahedral containers only !!

Package factors for:

tetrahedral container = pi/sqr.18=0,78048…

rectangular container = pi/sqr.20,25=0,69813…

spherical container = ???

Who can answer this question ?

A basketball is dropped from a height of 32 feet. Each time it bounces is rebounds 60% of its original height on each bounce. How high will it bounce on the 8th bounce?