A bakery is interested in the effect of six baking temperatures on the quality of its cakes. The bakers agree on a measure of cake quality, Y. A large batch of cake mix is prepared and 36 cakes are poured. The baking temperature is assigned at random to the cakes such that six cakes are baked at each temperature. Results are as follows: Temperature (ºF) 175 185 195 205 215 225 22 4 10 22 32 20 10 21 22 14 27 36 18 18 18 21 22 33 26 28 32 25 37 33 21 21 28 26 27 20 21 28 25 25 31 25 Do a complete analysis of these data and write the "best" fitting model for predicting cake quality from temperature.

Use the quadratic formula to solve 5x=6x^2-3,what are the values of x?

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?

Adj has a total of 1075 dance and rock songs on her system. the dance selection is 4 times the size of the rock selection. write a system of equations to represent the situation.