<h3>
Answer: Matt</h3>
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Explanation:
5 cupcakes : 20 min
5/5 cupcakes : 20/5 min
1 cupcake : 4 min
Carolyn eats 1 cupcake every 4 minutes
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6 cupcakes : 22 min
6/6 cupcakes : 22/6 min
1 cupcake : 3.67 min
Matt eats 1 cupcake every 3.67 minutes (roughly).
Matt is the faster eater since his time value per cupcake is smaller.
Answer:
0.262144 = 26.2% of getting all the 6 questions correctly.
Step-by-step explanation:
This is a binomial distribution problem
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = 6 multiple choice questions
x = Number of successes required = 6 (we want to get it all right.
p = probability of success = 0.8 (80% chance of getting any individual question right; 0.8 probability of getting each question correctly)
q = probability of failure = 1 - 0.8 = 0.2
P(X = 6) = ⁶C₆ (0.8)⁶ (0.2)⁶⁻⁶ = 1(0.262144)(1) = 0.262144
Well that would not work 5.25x2=10.5 5.25x3=15.75
X=16/3 or 5.33333 based on the fact that the angles are congruent
there is a 1/2 probability of getting heads on any one flip
since the first one landed on heads you have a 1/2 probability f getting a 2nd one
Probability = 1/2