The caloric contents and the sugar contents (in grams) of 11 high-fiber breakfast cereals are provided in the table below:
Calories,
140
200
160
170
170
190
190
210
190 170
160
X
Sugar, y 6
19
6
19
10
17
13
18
19
10
10
Using the least squares regression line, predict the sugar content for a high fiber cereal with 150
calories. Record your answer to 2 decimal places.

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?

Which of the following are accepted without proof in a logical system? check all that apply.

Which of the expressions (on the photo document i inserted) together represent all solutions to the following equation? 8cos(12x)+4=-4 *the answer should be in degrees.* > i would like for someone to explain the process to find the solutions for this.