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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 ...

Answered by Selina N. Maths tutor
2752 Views

Hydrogen has a single proton and a single electron. Find the electric potential at a distance of 0.50 * 10^(-10) (m) from the proton.

Ve = kQ/r = ((8.99 * 10^9) * (1.6 * 10 ^-19))/(0.5 * 10^-10) = 28.77 = 29 V

Answered by Pablo M. Physics tutor
1878 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, ...

Answered by Pablo M. Physics tutor
2811 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 =...

Answered by Viresh S. Maths tutor
2461 Views

use the subjunctive mood to express happiness, anger, probability and desire giving examples of each

me llena de alegría que tu hayas casado con élme pone muy enfado que perdieras mi reloj, tiene mucho valor senitmentaldudo que sepa como esquiarquiero que vengas conmigo

Answered by James B. Spanish tutor
1228 Views

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