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Maths
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Cliff has a bag of tennis balls. 8 are green, 7 are yellow and 5 are white. He picks a tennis ball at random. What is the probability that he picks one that is not green?

To solve this question, we need to know how many balls there are altogether in Cliff's bag. In total, there are 20 balls (8+7+5). We know that 8 of the balls are greens, so by subtraction (20...

KS
Answered by Kabilan S. Maths tutor
4689 Views

The diameter of a ring is 19mm. Calculate the area of the ring in cm^2, giving the area to 3 significant figures.

First you must convert the diameter into cm from mm:19/10 = 1.9cmThen you must find the radius of the ring:radius = diameter/2 = 1.9/2 = 0.95 cmThen you can calculate the area:area = 2πr2 = 2 x...

MP
Answered by Mary P. Maths tutor
3185 Views

Find the integral of the following equation: y = cos^2(x)

First convert y into a suitably form.cos(2x) = 1 - 2cos2(x)cos2x = (1-cos(2x))/2
integral of y = integral of (1-cos(2x))/2 = (1/2)*(x-(1/2)sin(2x)) + C = x/2 - sin(2x)...

MH
Answered by Marc H. Maths tutor
3917 Views

What is a geometric sequence?

A sequence is defined as a function with domain the set of the natural numbers, and codomain the set of the real numbers. A geometric sequence (a_n) is a sequence of the form: a_n = a_(n-1)*r, where r is ...

GK
Answered by Georgios K. Maths tutor
1310 Views

The equation of a curve is xy^2= x^2 +1. Find dx/dy in terms of x and y, and hence find the coordinates of the stationary points on the curve.

dy/dx = (2x-y2)/(2xy)Stationary points: (1, root(2)) , (1, -root (2))

RS
Answered by Rishi S. Maths tutor
8506 Views

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