Carbohydrates (in grams) can be used to predict the amount of energy released by a sports drink (in kilocalories). In a study of several sports drink the mean carbohydrates was 54.82 grams with a standard deviation of 14.32 grams and the mean energy released was 177.57 kilocalories with a standard deviation of 48.43 kilocalories. The correlation between carbohydrates and energy released was .94. a. Write the linear equation of best fit for predicting energy released from carbohydrates. (2 pts)b. Interpret the slope and y-intercept in context. (2 pts)

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?

What is the value of x in the equation (2)3) (x+6)= -18 a. -36 b. -33 c. -24 d. -18

Which is greater, 7 p 5 or 7 c 5? 7p5 7c5