Part A
Use the binomial probability distribution formula.
p = 0.54 = probability of getting a purple marble
n = 5 = sample size
x = 2 = number of purple we want to get
The 
portion is from the nCr combination formula. The exclamation marks indicate a factorial.
Alternatively, you could use Pascal's Triangle for that portion.
<h3>Answer: 0.283831776</h3>
This decimal value is exact. Round it however you need to.
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Part B
To find the expected value, aka the mean, we multiply the sample size and probability of getting a purple marble on any single selection.
n*p = 5*0.54 = 2.7
<h3>Answer: 2.7</h3>
Answer:
√97 units
Step-by-step explanation:
the distance between the two points in (-5,0) and (-9,9) is √97 units.
The answer is 3/4 and it was already simplified
Answer: 1/12 of a cup
To get this answer, you multiply 1/4 by 1/3
Multiply straight across
(1/4)*(1/3) = (1*1)/(4*3) = 1/12
Answer:
-15/4 > -3 3/8
Step-by-step explanation:
I converted -15/4 into a mixed number with a denominator of 8. First, I made it a mixed number (-3 1/4) and then I converted it to eighths (-3 2/8). Compared to -3 3/8, -15/4 is larger.
