An electronics store sells a laptop for p. During the sales period, the shopkeeper offers a 30% discount on the initial price. A few days after the end of the sales, the shopkeeper starts the «Out of All» campaign to free the warehouse from inventories and applies an additional 20% discount. to. Express the final price of the computer as a fraction of p and verify that it is greater than 50% of the initial price. b. Knowing that the final price is € 448, it determines the initial price p and the amount of the first discount applied.

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

Use the quadratic formula to solve the equation. if necessary, round to the nearest hundredth. x^2 - 20 = x a. 5, 4 b. -5, -4 c. -5, 4 d. 5, -4

Select the correct answer what is the most direct use of a compass in geometric constructions? a. to draw congruent angles b. to draw arcs of a given size c. to draw perpendicular lines d. to draw straight lines reset next next