The pitchers for the home team had 12 strikeouts for 32 batters, while the pitchers for the visiting team had 15 strikeouts for
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What is an inverse?
Recall that a number multiplied by its inverse equals 1. From basic arithmetic we know that:
The inverse of a number A is 1/A since A * 1/A = 1 (e.g. the inverse of 5 is 1/5)
All real numbers other than 0 have an inverse
Multiplying a number by the inverse of A is equivalent to dividing by A (e.g. 10/5 is the same as 10* 1/5)
What is a modular inverse?
In modular arithmetic we do not have a division operation. However, we do have modular inverses.
The modular inverse of A (mod C) is A^-1
(A * A^-1) ≡ 1 (mod C) or equivalently (A * A^-1) mod C = 1
Only the numbers coprime to C (numbers that share no prime factors with C) have a modular inverse (mod C)
Step-by-step explanation:
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Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Part A</u>
Assuming that conditions have been met for the interval, we use the formula where
represents the sample mean,
represents the critical value,
represents the sample standard deviation, and
is the sample size.
The critical value of for an 80% confidence level with degrees of freedom
is equivalent to
Thus, we can compute the confidence interval:
Therefore, we are 80% confident that the true mean age of all customers is between 30.17 and 35.11 years.
<u>Part B</u>
The margin of error is