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Alternate interior angles are congruent. So, angle 3 = angle 7.
We see that vertical angles are congruent. So, angle 3 also = angle 5.
Alternate exterior angles are congruent.
So, angle 3 also = angle 1.
Answer: 72 feet
Step-by-step explanation: 1 yard is equal to 3 feet, so if there are 24 yards, we can multiply 24 by 3. This can be shown using the following formula: y · 3 = f (where y = number of yards and f = feet.) So:
24 · 3 = 72
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 amount of money in your account is mathematically given as
x = $56
This is further explained below.
<h3>What is an account?</h3>
Generally, An account is a term used in accounting to refer to assets, liabilities, income, costs, and equity.
In bookkeeping, an account is represented by a single page in a ledger, and any changes in value are chronologically documented using debit and credit entries.
These entries, which are also known as posts, are added to a book of final entries or ledger and form a part of it.
In conclusion, the amount of money in your account will be
18 * 8 = 144
Therefore
x=200 - 144
x = $56
Read more about the account
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