Sexual assault in college: in a washington post/kaiser family foundation poll conducted from january through march 2015, 46% of adults (ages 17‐26) who attended college during the past 4 years say it’s unclear whether sexual activity when both people have not given explicit agreement is sexual assault. the survey methodology section states that the margin of error is ± 3.5% at the 95% confidence level. what does this margin of error tell you about the results of this poll? group of answer choices we are 95% confident that the sample proportion has a 3.5% error. we are confident that 95% of the responses are within 3.5% of the population proportion. we are 95% confident that the population proportion is within 3.5% of the sample proportion of 46%. we are confident that population proportion is within 3.5% of the sample proportion of 46%.

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step-by-step explanation:

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step-by-step explanation:

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6