Answer:
0.40
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Desired outcomes:
Exit A or exit B, so 2 desired outcomes.
This means that 
Total outcomes:
Any of the 5 exits, so 
Probability:
Simplify the following:n^6/n^2
Combine powers. n^6/n^2 = n^(6 - 2):n^(6 - 2)
6 - 2 = 4:Answer: n^4 thus b: is you Answer
Answer:
Expression: 
Value of the expression when 
: 
Step-by-step explanation:
Let's first focus on the expression: '6 more than twice a number'. Twice a number is the same as saying two times a number. Let's have that number be represented by 
. Twice a number would mean 
, and 6 more than that would just be .
We'll then plug in 5 for to get the value of the expressinn:
3/45 = 20/x...3 in to 45 seconds = 20 in to x seconds
cross multiply
(3)(x) = (45)(20)
3x = 900
x = 900/3
x = 300...300 seconds (or 5 minutes)to fill the tub with 20 inches
<h3>Answers:</h3>
- (a) It is <u>never</u> one-to-one
- (b) It is <u>never</u> onto
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Explanation:
The graph of any constant function is a horizontal flat line. The output is the same regardless of whatever input you select. Recall that a one-to-one function must pass the horizontal line test. Horizontal lines themselves fail this test. So this is sufficient to show we don't have a one-to-one function here.
Put another way: Let f(x) be a constant function. Let's say its output is 5. So f(x) = 5 no matter what you pick for x. We can then show that f(a) = f(b) = 5 where a,b are different values. This criteria is enough to show that f(x) is not one-to-one. A one-to-one function must have f(a) = f(b) lead directly to a = b. We cannot have a,b as different values.
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The term "onto" in math, specifically when it concerns functions, refers to the idea of the entire range being accessible. If the range is the set of all real numbers, then we consider the function be onto. There's a bit more nuance, but this is the general idea.
With constant functions, we can only reach one output value (in that example above, it was the output 5). We fall very short of the goal of reaching all real numbers in the range. Therefore, this constant function and any constant function can never be onto.
