<span>1. </span>The probability that one of the diners orders fish = number of diners who ordered fish / total number of diners
p1=45/100=0.45
<span>2. </span>The probability that one of the diners is wearing dress= number of diners wearing dress/ total number of diners
<span>3. </span>p2=14/100=0.14
<span>The probability that one of the diners ordered the fish or is wearing a dress is: p=0.45+0.14=0.59</span>
Answer:
its 375
Step-by-step explanation:
The simplification form of the provided expression is 108 after applying the integer exponent properties.
<h3>What is integer exponent?</h3>
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
We have an expression:
= 108
Thus, the simplification form of the provided expression is 108 after applying the integer exponent properties.
Learn more about the integer exponent here:
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Problem 2
<h3>Answers:</h3><h3>Domain = [-2, 2)</h3><h3>Range = {-2, -1, 0, 1, 2}</h3>
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Explanation:
The domain is the set of allowed x inputs of a function. We see that the left most point is when x = -2, so -2 is the smallest value allowed in the domain. On the opposite side of the spectrum, we see that x = 2 is the right most value. However, x = 2 is not allowed in the domain because of the open hole here. This is why we use a curved parenthesis for this part. Whereas a square bracket for -2 tells the reader "-2 is part of the domain". The answer you wrote down is very close. Just change the second square bracket to a curved parenthesis.
For the range, we simply have 5 possible y value outputs and they are: -2 -1, 0, 1 or 2. No other y values are possible. Since we have so few items in the range, we just list the values and put them between curly braces to indicate we have a set of values. We cannot do this with the domain as there are infinitely many items in the domain (eg: x = 1.27 and x = 2.339 are in the domain).
