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Mathematics 21 Online
Nicole:

http://prntscr.com/mb7nyw

Nicole:

@Vocaloid

Vocaloid:

it's been a while since i've done these but you would probably start by making a probability tree |dw:1548270765376:dw|

Vocaloid:

since we want "people who will be identified as having diabetes" we want to calculate the percentage of people who will test positive, then multiply by 300 people

Nicole:

so we add the percentage of people who will test positive then multiply that number by 300?

Nicole:

but theres two numbers

Vocaloid:

|dw:1548271027793:dw|

Vocaloid:

so (74.7% of 7% ) + (12% of 93%) will give you the total percentage of people who will test positive

Nicole:

well 74.7% of 7% is 0.05229 and 12% of 93% is 0.1116 basically 5 plus 11 is 16. so A?

Vocaloid:

... actually, that only gives you the percentage of people who test positive, you would then multiply that by 300 since we want the number of people out of 300 but that isn't one of the answer choices. hm.

Vocaloid:

uhhh maybe I can ask someone about this

Nicole:

Hmm did you find anything yet?

Nicole:

maybe divide it by 300? because then it would be about 18.75 and there is 18 as a choice

Vocaloid:

hmmm I don't think there's any reason to divide

Nicole:

Im not sure tbh

Nicole:

We can move on if you're not sure

Vocaloid:

ok

Vocaloid:

I just realized I miscalculated 100 - 78% as 12% instead of 22% but even correcting that error doesn't really help

Nicole:

hmm okay http://prntscr.com/mb877i

Vocaloid:

it's just (yellow marbles)/(total)

Nicole:

1/10 so B

Vocaloid:

good

Nicole:

http://prntscr.com/mb8arz

Vocaloid:

there's replacement, so it's just (red marble/total marbles)(black marbles/total marbles)

Nicole:

1/15?

Vocaloid:

15 total marbles 5 red 4 black so (5/15)(4/15)

Nicole:

8/75 ?

Vocaloid:

(5/15)(4/15) = 20/225 = 4/45

Nicole:

ohh i accidentally did the calculations wrong and did the blue one.

Nicole:

http://prntscr.com/mb8j87

Vocaloid:

you just need to multiply (# of pants)(# of shirts)(# of shoes)

Nicole:

48

Nicole:

http://prntscr.com/mb8kni

Vocaloid:

permutation formula for n = 8, r = 4 |dw:1548274661147:dw|

Vocaloid:

supposed to be n! / (n-r)! just in case

Vocaloid:

also I asked about that diabetes question w/ a friend and they also said they didn't get any of the solutions as an answer so my best guess they didn't take the 300 into account and just reported the percentage of positive test results, in which case 16?

Nicole:

Okay so im just gonna put 16 for that, and can you explain more for question 5?

Nicole:

@Vocaloid

Vocaloid:

"permutations of 8 letters taking 4 at a time" the permutation formula is n! / (n - r)! where n is the total # of items you are choosing from (8) and r is the number of items being chosen at a time (4)

Nicole:

So 1680?

Nicole:

am i correct @Vocaloid

Vocaloid:

yes

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