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Answer: See the graph below!
I hope this helped!
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- Zack Slocum
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What is 9 1/2 x 1/4? i just need it for a math question on study island.
2 answers:
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Answer:
a) 56.67% probability that the student is a woman
b) 16.67% probability that the student received an A
c) 63.33% probability that the student is a woman or received an A.
d) 83.33% probability that the student did not receive an A.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We have that:
30 students
13 men
17 women
2 men that got an A and 11 men that did not get an A.
3 women that got an A and 14 women that did not get an A.
a. Find the probability that the student is a woman.
30 students, of which 17 are women.
56.67% probability that the student is a woman
b. Find the probability that the student received an A.
30 students, of which 5 received an A
16.67% probability that the student received an A
c. Find the probability that the student is a woman or received an A.
30 students, of which 17 are women and 2 are men who received an A. So
63.33% probability that the student is a woman or received an A.
d. Find the probability that the student did not receive an A.
30 students, of which 25 did not receive an A.
83.33% probability that the student did not receive an A.
Answer:
Step-by-step explanation:
To find the inverse function, solve for y:
f(x) is an even function, so f(-x) = f(x). Then the inverse relation is double-valued: for any given y, there can be either of two x-values that will give that result.
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A function is single-valued. That means any given domain value maps to exactly one range value. The test of this is the "vertical line test." If a vertical line intersects the graph in more than one point, then that x-value maps to more than one y-value.
The horizontal line test is similar. It is used to determine whether a function has an inverse function. If a horizontal line intersects the graph in more than one place, the inverse relation is not a function.
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Since the inverse relation for the given f(x) maps every x to two y-values, it is not a function. You can also tell this by the fact that f(x) is an even function, so does not pass the horizontal line test. When f(x) doesn't pass the horizontal line test, f^-1(x) cannot pass the vertical line test.
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The attached graph shows the inverse relation (called f₁(x)). It also shows a vertical line intersecting that graph in more than one place.
