The perimeter of a rectangle can be found using the equation p=2l+2w where p is the perimeter l is the length and w is the width
1 answer:
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Answer:
No, the inverse function does not pass the vertical line test.
Step-by-step explanation:
Remember that . To find the inverse of our function we are going to invert x and y and solve for y:
Now we can graph our function an perform the vertical line test (check the attached picture).
Remember that the vertical line test is a visual way of determine if a relation is a function. A relation is a function if and only if it only has one value of y for each value of x. In other words, a relation is a function if a vertical line only intercepts the graph of the function once.
As you can see in the picture, the vertical line x = 15 intercepts the function twice, so the inverse function h(x) is not a function.
We can conclude that the correct answer is: No, the inverse function does not pass the vertical line test.
Since the problem states "at least" we need to also find probability of 3 H or 4 H or 5 H
Now find the probability of flipping a head 4 times;
⁴
= (1/16)
Now probability of flipping a head 3 times: (4C3)(1/2)⁴ = 4/16
Probability of flipping a head 2 times; (4C2)(1/2)⁴=6/16
(1/16)+(4/16)+(6/16)=11/16
Probability of flipping a fair coin 4 times with at least 2 heads is 11/16.
Hope I helped :)
Now find the probability of flipping a head 4 times;
= (1/16)
Now probability of flipping a head 3 times: (4C3)(1/2)⁴ = 4/16
Probability of flipping a head 2 times; (4C2)(1/2)⁴=6/16
(1/16)+(4/16)+(6/16)=11/16
Probability of flipping a fair coin 4 times with at least 2 heads is 11/16.
Hope I helped :)