Answer:
C. If the probability of an event occurring is 1.5, then it is certain that the event will occur.
Step-by-step explanation:
Probability is a value between <em>0 and 1</em> (including both values). Thus, to say that there is a probability of 1.5 is not correct, and, therefore, this statement is not true.
We can rewrite the statement as "If the probability of an event occurring is 1, then it is completely certain that the event will occur."
Statement A.
Suppose the event is A. Then, if P(A) = 0, it is completely certain that the event will not occur. It is true.
Statement B.
. Then, the statement is true.
Statement C.
We already explained the <em>statement C is not true</em> because the values for probabilities are between 0 and 1 (including both values). A probability of 1.5 is meaningless as a result.
Statement D.
For the same reason explained in C, the probability can never be a negative value. So, this statement is also true.
Answer:
8cm
Step-by-step explanation:
x is similar to the side 12cm.
We know the second triangle is rotated counter-clockwise from the first because similar triangles have the same angle measurements.
Since the angle in the first triangle between 9cm and 15cm is 53°, it can't be similar to the angle between x and the hypotenuse in the second triangle.
Find the scale factor:
Triangle 1/Triangle 2
Divide two similar sides.
6/9 = 2/3
Multiply the scale factor by the similar side to find x.
x = 12*(2/3)
x = 8
Answer:
g(x) = (1/6)(x +7)^2 -8
Step-by-step explanation:
The transformation ...
g(x) = a·f(x -h) +k
represents vertical scaling by a factor of 'a', right shift by h units, and up shift by k units. You want the function g(x) for f(x) = x^2, a = 1/6, h = -7, and k = -8. Those transformations give you ...
g(x) = (1/6)(x +7)^2 -8
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