Background: this activity is based on the results of a recent study on the safety of airplane drinking water that was conducted by the u. s. environmental protection agency (epa). a study found that out of a random sample of 316 airplanes tested, 40 had coliform bacteria in the drinking water drawn from restrooms and kitchens. as a benchmark comparison, in 2003 the epa found that about 3.5% of the u. s. population have coliform bacteria-infected drinking water. the question of interest is whether, based on the results of this study, we can conclude that drinking water on airplanes is more contaminated than drinking water in general
question 1:

let p be the proportion of contaminated drinking water in airplanes. write down the appropriate null and alternative hypotheses.
question 2:

based on the collected data, is it safe to use the z-test for p in this scenario? explain.

use the following instructions to conduct the z-test for the population proportion:
instructions

click on the link corresponding to your statistical package to see instructions for completing the activity, and then answer the questions below.

r | statcrunch | minitab | excel| ti calculator
question 3:

now that we have established that it is safe to use the z-test for p for our problem, go ahead and carry out the test. paste the output below.
question 4:

note that, according to the output, the test statistic for this test is 8.86. make sure you understand how this was calculated, and give an interpretation of its value.
question 5:

we calculated a p-value of 0 in this test. interpret what that means, and draw your conclusions.

if triangle abc is congruent to triangle def, their interior angles are congruent, because congruent parts of congruent triangles are congruent (cpctc).

that means ∠d is congruent to ∠a; ∠d is equal to 8x - 2.

interior angles of all triangles add to equal 180 degrees, so you can set the sum of these interior angle values equal to 180 and solve for x.

180 = (8x - 2) + 22 + 72

180 = 8x - 2 + 22 + 72

180 = 8x + 92

88 = 8x

11 = x

x = 11

ash is formed by combustion

explanation:

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: