The mean cost of a meal for two in a mid-range restaurant in tokyo is $40 (numbeo website, december 14, 2014). how do prices for comparable meals in hong kong compare? the datafile hongkongmeals contains the costs for a sample of 42 recent meals for two in hong kong mid-range restaurants. meal price ($): 22.78, 33.89, 22.77, 18.04, 23.29, 35.28, 42.38, 36.88, 38.55, 41.68, 25.73, 34.19, 31.75, 25.24, 26.32, 19.57, 36.57, 32.97, 36.83, 30.17, 37.29, 25.37, 24.71, 28.79, 32.83, 43.00, 35.23, 34.76, 33.06, 27.73, 31.89, 38.47, 39.42, 40.72, 43.92, 36.51, 45.25, 33.51, 29.17, 30.54, 26.74, 37.93 (a) with 95% confidence, what is the margin of error? (b) what is the 95% confidence interval estimate of the population mean? (c) how do prices for meals for two in mid-range restaurants in hong kong compare to prices for comparable meals in tokyo restaurants?

answer:   segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students.   an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality.   in the case of brown v. board of education, that standard was challenged and defeated.   segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to   education.   this was being violated by states whose laws supported the segregation of schools.   section 1 of the 14th amendment reads as follows:

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

mr. india