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There are 9 counters in a bag. 7 of the counters are green. 2 of the counters are blue. Two counters are chosen at random, what is the probability one counter of each colour is chosen.

There are two methods to pick one counter of each. Either pick the (1)green counter first and then blue, or a (2)blue counter first and then green. We must calculate the probability of both of these scenario...
UB
Answered by Ummar B. • Maths tutor
29426 Views

Express 1/(1+2x)(1-x) in partial fractions

1/(1+2x)(1-x)=(A/(1+2x))+(B/(1-x))1=A(1-x)+B(1+2x) Now set the bracket of one of A or B equal to 0 to get an equation with 1 unknown.Set x=11=A(1-1)+B(1+2(1))1=A(0)+B(3)1=3BB=1/3Set x=-(1/2)1=A(1-(-1/2))+B(1...
LC
Answered by Luke C. • Maths tutor
4725 Views

Solve the simultaneous equations: 3x + y = -4 and 3x - 4y = 6

First subtract the first equation from the second getting:0 - 5y = 10-5y = 10Then divide both sides by (-5)y = -2Then substitute the y value of (-2) back into the first equation giving:3x + (-2) = -43x = -2x...
LC
Answered by Luke C. • Maths tutor
6301 Views

How do you find a turning point of a function using differentiation?

To find the location of turning points on a function, find the first derivative of the function, and then set the result to 0. if you then solve this equation, you will find the locations of the turning poin...
NS
Answered by Nathan S. • Maths tutor
60453 Views

A scalene triangle PQR, where PQ is (3x+4)m long, QR is (2-x)m long and angle PQR is 30 degrees, has an area of 2 square metres. Find x.

Knowledge of equation Area = 1/2absinC where a = PQ b = QR and C = angle PQR, a diagram may aid with visualisation. (B1) Substituting in values and expanding. 1/2(3x+4)(2-x)sin(30) = 2 becoming 1/4(-3x^2+2x+...
TF
Answered by Thomas F. • Maths tutor
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