Answer:
- p=0.7103 (4-game series)
- p=0.6480 (2-game series)
Step-by-step explanation:
Let X be the random variable equal the the first 4 straight wins. An overall win for the stronger team implies a negative binomial function with the parameters n=4, p=0.6:

#We find probabilities for the different values of i:

Hence, probability of the stronger team winning overall is:

#Define Y as the random variable for winning 2/3 games.:

Hence, probability of the stronger team winning in 2 out 3 game series is 0.6480
The stronger team has a higher chance of winning in a 4-game series(0.7103>0.6480)
The cyclic quadrilateral's opposing angles are 180 degrees, which become supplementary angles.
<h3>What is a cyclic quadrilateral?</h3>
If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral.
A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that quadrilateral are supplementary.
We know that the sum of the opposite angles of the cyclic quadrilateral is equal to 180 degrees.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
More about the cyclic quadrilateral link is given below.
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Answer:
A is the right answer
Step-by-step explanation:
Answer: 82
Step-by-step explanation:
59+23=82
Check
82-23=59
The money will be triple after 15 years and 303 days.
What is compound interest?
Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
Given:
Principle (P) = $10,000
The amount will be triple.
So, Amount (A) = $30,000
Rate (r) = 7% = 0.07
The interest is compounded quarterly.
n = 4
We have to find the value of t.
Let,

Apply logarithm on both sides,

Hence, the money will be triple after 15 years and 303 days.
To know more about compound interest, click on the link
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