In a test to compare yield strengths of two grades of carbon steel bolts, strengths of eight grade 2 bolts and six grade 5 bolts were measured. The results, in MPa, were as follows: Grade 2 408 401 406 396 407 394 399 414 Grade 5 637 659 655 644 663 635 Find a 98% confidence interval for the difference between the mean yield strengths for grade 5 and grade 2 bolts. (Round down the degrees of freedom to the nearest integer and round the final answers to two decimal places.) The 98% confidence interval is ( -267.84 , -233.58 ).

Which sentence describes why polygon mnop is congruent to polygon jklp? a. polygon jklp maps to polygon mnop through a translation. b. polygon jklp maps to polygon mnop through a rotation. c. polygon jklp maps to polygon mnop through a dilation. d. polygon jklp maps to polygon mnop through a stretch.

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?

How do businesses a country's economy? a. by investing in goods and services b. by increasing the unemployment rate c. by making profits