Simpson's paradox. recently, the king of the mythical nation of pcoria was diagnosed with cancer. he noticed that many other nobles in his court had also been diagnosed with cancer recently. he dispatched his two best health economists to study can cer rates in pcoria's two towns. their results are recorded in table 4.6. before you begin, recall that pcoria's two towns are very different. eastville is a poor area, home to numerous factories that produce prodigious amounts of pollution. weston is the home of the king's court and is filled with pristine parks and hiking trails table 4.6. information from the cancer rate study commissioned by the king of pcoria. eastville weston population cancer rate population cancer rate nobles 100 50% 900 10% peasants 1,000 40% 500 8% a the king's economists conclude that there is a health disparity between nobles and peasants when it comes to cancer rates. succinctly state the health disparity b calculate the nationwide cancer rate for nobles and the nationwide cancer rate for peasants. what do you find? c this effect is called simpson's paradox or the amalgamation paradox. explain how the distribution of nobles and peasant and the geography of pcoria contribute to the paradoxical result. which health disparity hypothesis from the chapter does this exemplify? d consider table 4.7, which substitutes variable names for the cancer rate data simpson's paradox occurs when the cancer rate is higher for nobles in each town but higher for peasants nationwide. express these three conditions in terms of the variable names in the table e use your answer from exercise d to prove that simpson's paradox cannot occur if the populations of nobles and peasants are the same in both towns (that is, a-c and bad)

46.2+112.3

step-by-step explanation:

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation:

answer: idk wbu

step-by-step explanation:

your exact question is kind of difficult to understand, so maybe an example will explain what you're supposed to do? i'll work through the first problem on the worksheet.

suppose you have a tray of 652 brownies, and you have 5 friends that you want to feed without picking favorites. how many brownies can you dole out to each of your friends in equal amounts? how many will be left over for you to eat?

what you're doing here is finding a way to arrange the number 652 as the sum of integer multiple of 5 and some remainder:

here ("q" for quotient) is the number of brownies each of your friends get, and is the remainder. that's the basic idea behind division.

we break up the number 652 into parts so that the leading digit stands on its own:

652 = 600 + 52

first we check if it's possible to hand out exactly 100 brownies to each friend. with 5 friends, this means we want to know if we can take out 500 brownies from the tray. we can do this 1 time because we have 600 brownies to take from, and when we do that we're left with 100 + 52 brownies to divvy up. so we know that

652 = 1*500 + 152

next we want to know if it's possible to hand out exactly 10 brownies per friend. if we can, we have to remove 50 brownies from the tray each time until we can't. we have 152 brownies left, and we know that 3(50) = 150, so

152 = 3*50 + 2

now we have 2 brownies left in the tray. is it possible to hand 1 out to each of your 5 friends? no, you'd need a minimum of 5 brownies to do that. so the last 2 are yours.

putting everything together, we found that

652 = 1*500 + 3*50 + 2

and we can rearrange this to write

652 = 5*100 + 5*30 + 2

652 = 5(100 + 30) + 2

652 = 5*130 + 2

so and .

you might be more accustomed to the table depicting the algorithm. that's just a compact way of organizing what we've done above. you can consult the image i've attached below.