Answer:

Step-by-step explanation:

Each question has four choices, then the probability to guess a correct answer is

and the probability to select incorrect choice is

.
You have a 5-question multiple-choice test, then n=5. The <span>probability that you will guess exactly three out of five questions correctly is </span>
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</span><span>

</span>

.
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Answer:
all real numbers expect 1.
Step-by-step explanation: This is a rational function. when we usually the find the domain of a rational function we would look at the bottom because you don't want the denomonatior to be zero because dividing by zero in math makes the range undefined. so we use the equation and set it up to zero to find the domain. 1-x=0 -x=-1, divide by -1 and we get 1. So x can be any numbers expect 1. Interval notation: (-∞,1)∪(1,+∞)
The only possibility if a number is not even is that it is odd. Thus, the event would be the product is an odd number.