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There are n sweets in a bag. 6 of them are orange, the rest are yellow. Hannah takes a random sweet, she eats the sweet and repeats again. The probability that hannah eats two orange sweets is 1/3. Show that n2 - n - 90 = 0.

The best way to think approach question is thinking of it like a tree diagram.We know there are n sweets in total. Therefore the probability of eating 1 orange sweet the first time is 6/n.The probability ...

SN
Answered by Selina N. Maths tutor
3175 Views

A car of mass 1000 kg is travelling at 20 (m/s). The car crashes into a tree, and comes to a complete halt in 0.05s. Calculate the force acting on the car during the collision.

We are asked for the force acting on the car and we know from Newton's second law that F = ma Therefore, we need to calculate the acceleration first. We use a = (vf - vo)/(t - to) where vf = final speed, ...

PM
Answered by Pablo M. Physics tutor
3495 Views

The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5. Work out the area of the triangle.

As we know the ratio of the sides is 3:4:5, label the sides x,y and z respectively. Side x is of length (3/12)*72, side y is of length (4/12)*72 and side z is of length (5/12)72. Giving, x = 18cm, y =...

VS
Answered by Viresh S. Maths tutor
2848 Views

What are the differences between sound waves and electromagnetic waves?

Propagation:
Sound waves are longitudinal, meaning that the vibrations occur parallel to the direction of propagation (travel).

Electromagnetic wa...

WL
Answered by Wendy L. Physics tutor
69927 Views

How do you solve these simultaneous equations? 4x + 5y = 8; 2x + 3y = 5

By elimination:(eq1) 4x + 5y = 8(eq2) 2x + 3y = 5By eye you can see that 2x multiplied by 2 is 4x.If we multiply the whole of (eq2) by 2 we get:(eq2.1) 4x + 6y = 10(eq1) 4x + 5y = 8If we subtract the whol...

WL
Answered by Wendy L. Maths tutor
5476 Views

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