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Question 1.
The Pythagoras Theorem states that the square of the hypotenuse is equal to the sum of the square of the two legs.

From the question, the hypotenuse is h=10 yd and one of the legs is 2yd.
This implies that,

Evaluate the exponents

Subbtract 4 from each side





The correct answer is C
Question 2
We want to solve

using inverse functions.
The inverse of an exponential function is a logarithmic function.
We take natural log of both sides to get;

Recall that

This means

Logarithm of the base is 1


Divide both sides by 4

9/20
45% is 0.45. To switch into a fraction you do 45 over 100, simplified is 9/20.
Using the Poisson distribution, the probabilities are given as follows:
A. 0.0888 = 8.88%.
B. 0.1354 = 13.54%.
C. 0.8646 = 86.46%.
<h3>What is the Poisson distribution?</h3>
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

The parameters are:
- x is the number of successes
- e = 2.71828 is the Euler number
is the mean in the given interval.
Item a:
10 hours, 2 calls per hour, hence the mean is given by:
.
The probability is P(X = 20), hence:


Item b:
1 hour, hence the mean is given by:

The probability is P(X = 0), hence:


Item c:
The probability is:

More can be learned about the Poisson distribution at brainly.com/question/13971530
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Answer:
C &A
Step-by-step explanation:
Just by analyzing the problem you can match up the answers
Solve the problem in your head and the closest answer to that is the answer