Answer:
12.5
Step-by-step explanation:
see attached image
ANSWER:
X is -5 and 1.
1) cross multiply
2) subtract five from both sides
3) factor
4) check for extraneous
5) ask me if you are still confused.
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>
The seventh term of the sequence is
-1
—
25