Choosing 8 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green) one at a time with 18) replacement, keeping track of the number of red marbles chosen A) Procedure results in a binomial distribution B) Not binomial: the trials are not independent C) Not binomial: there are too many trials. D) Not binomial: there are more than two outcomes for each trial

In the given scenario, the replacements have been done, each experiment would be separate. The outcomes, on either hand, are values from in this set {0,1,2,3,4,5,6,7,8} that signify the number of red marbles selected.

Therefore, the final answer is "Option D".

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Explanation:

Replacement is being done, so each trial is independent. However, the outcomes are values from this set {0,1,2,3,4,5,6,7,8} which represent the number of red marbles chosen. Since we do not have two outcomes, we do not have a binomial distribution. If instead you made the outcomes {red, not red}, then you would have two outcomes and it would be a binomial distribution.

x = -2

y = 848

step-by-step explanation:

plug in the numbers

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west