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In a lottery, 6 numbered balls are drawn from a pool of 59. Calculate the probability of scoring a jackpot. There used to be 49 balls in the pool. Calculate by how much the addition of 10 balls has decreased the probability of scoring a jackpot

The question has to do with probability, and the branch of mathematics which models such situations is called probability theory.

A jackpot is, of course, when we correctly predict all th...

MM
Answered by Marcin M. • Maths tutor
12680 Views

Explain how a nerve impulse passes along a non-myelinated neuron

Nerve impulses are electrical impulses that travel along the axons of nerve cells (neurons) carrying various information. Propagation of electricity is possible due to differences in <...

PS
Answered by Paula S. • Biology tutor
60266 Views

What mass of carbon dioxide is produced from burning 100 grams of ethanol in oxygen according to this reaction: C2H5OH + 3 O2 --> 2 CO2 + 3 H2O

Firstly, make sure the equation is correctly balanced – which it is here; comparing right sight with left: Left=Right i.e.: 2 carbon atoms,                6 hydrogen a,    7 oxygen a

PS
Answered by Paula S. • Chemistry tutor
70273 Views

How do you integrate by parts?

To integrate the product of two functions - say f(x) = xsinx, the product of g(x) = x and h(x) = sin(x) - the we use integration by parts. 

Since integration is the inverse of differentia...

PK
Answered by Patrick K. • Maths tutor
6584 Views

Given that (2x + 11 )/(2x + 1)(x + 3) ≡ A /(2x + 1) + B /(x + 3) , find the values of the constants A and B. Hence show that the integral from 0 to 2 (2x + 11)/ (2x + 1)(x + 3) dx = ln 15.

First starting from the right hand side.

 A /(2x + 1) + B /(x + 3) = A(x+3)+B(2x+1)/(x+3)(2x+1)

Therefore the numerator = (A+2B)x+(3A+B)

Equating this numorato...

GD
Answered by George D. • Maths tutor
7091 Views

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