At some fast-food restaurants, customers who want a lid for their drinks get them from a large stack near the straws, napkins, and condiments. The lids are made with a small amount of flexibility so they can be stretched across the mouth of the cup and then snugly secured. When lids are too small or too large, customers can get very frustrated, especially if they end up spilling their drinks. At one particular restaurant, large drink cups require lids with a “diameter” of between 3.95 and 4.05 inches. The restaurant’s lid supplier claims that the diameter of its large lids follows a Normal distribution with mean 3.98 inches and standard deviation 0.02 inch. Assume that the supplier’s claim is true. The supplier is considering a change to reduce to 1% the percentage of its large cup lids that are too small. One strategy is to alter the production process, thereby decreasing the standard deviation of the lid diameters. If the mean diameter stays at =3.98 inches, what value of the standard deviation will result in only 1% of lids that are too small to fit?

1. 0.0198 inches
2. 0.070 inches
3. 3.00 inches
4. 0.013 inches
5. 0.427 inches

is the art and science of cultivating the soil, growing crops and raising livestock. it includes the preparation of plant and animal products for people to use and their distribution to markets.

agriculture provides most of the world’s food and fabrics. cotton, wool, and leather are all agricultural products. agriculture also provides wood for construction and paper products.

these products, as well as the agricultural methods used, may vary from one part of the world to another.

the atmosphere, the biosphere, the hydrosphere, and the lithosphere.   are all physical systems is probably

answer: following the publication of mysterium and with the blessing of the graz school inspectors, kepler began an ambitious program to extend and elaborate his work. he planned four additional books: one on the stationary aspects of the universe (the sun and the fixed stars); one on the planets and their motions; one on the physical nature of planets and the formation of geographical features (focused especially on earth); and one on the effects of the heavens on the earth, to include atmospheric optics, meteorology, and astrology.[24]

he also sought the opinions of many of the astronomers to whom he had sent mysterium, among them reimarus ursus (nicolaus reimers bär)—the imperial mathematician to rudolph ii and a bitter rival of tycho brahe. ursus did not reply directly, but republished kepler's flattering letter to pursue his priority dispute over (what is now called) the tychonic system with tycho. despite this black mark, tycho also began corresponding with kepler, starting with a harsh but legitimate critique of kepler's system; among a host of objections, tycho took issue with the use of inaccurate numerical data taken from copernicus. through their letters, tycho and kepler discussed a broad range of astronomical problems, dwelling on lunar phenomena and copernican theory (particularly its theological viability). but without the significantly more accurate data of tycho's observatory, kepler had no way to address many of these issues.[25]

instead, he turned his attention to chronology and "harmony," the numerological relationships among music, mathematics and the physical world, and their astrological consequences. by assuming the earth to possess a soul (a property he would later invoke to explain how the sun causes the motion of planets), he established a speculative system connecting astrological aspects and astronomical distances to weather and other earthly phenomena. by 1599, however, he again felt his work limited by the inaccuracy of available data—just as growing religious tension was also threatening his continued employment in graz. in december of that year, tycho invited kepler to visit him in prague; on january 1, 1600 (before he even received the invitation), kepler set off in the hopes that tycho's patronage could solve his philosophical problems as well as his social and financial one

explanation: