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Inessa [10]
4 years ago
14

A six-sided number cube labeled 1 through 6 is rolled 600 times. An odd number is rolled 272 times. Compare the experimental pro

bability of rolling an odd number with the relative frequency of rolling an odd number and select one of the statements below that best describes the situation. The experimental probability and relative frequency are the same. The experimental probability is larger than the relative frequency. The experiment probability is smaller than the relative frequency. There is not enough information to determine the relative frequency.
Mathematics
1 answer:
Mila [183]4 years ago
6 0
Relative frequency is defined as the number of "desired" results divided by the total number of possible results. Experimental probability is defined the same way. This means that the first choice is best, the experimental probability and relative frequency are the same.

The theoretical probability, on the other hand, would be 0.5, or 300/600, which is larger than the experimental probability.
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Answer:

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Step-by-step explanation:

Given quadratic function f(x)=x^2-12x+27

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Consider the Given quadratic function f(x)=x^2-12x+27

The general form of quadratic function  is given f(x)=a(x-h)^2+k

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Thus,

h =\frac{-b}{2a}=\frac{12}{2}=6

k = f(h) that is f(12) = (6)^2 - 12× 6 +27 = 36 - 72 + 27 = - 9

Thus, given  quadratic function f(x)=x^2-12x+27 in standard form is f(x)=(x-6)^2-9  

Thus, vertex is (6 , -9)

For second point put f(x)=0  , we get,

f(x)=(x-6)^2-9=0  

\Rightarrow (x-6)^2-9=0  

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\Rightarrow x= 6\pm 3  

Thus, \Rightarrow x=6+3=9 and \Rightarrow x=6-3=3  

thus, points are (9,0) and (3,0)

Graph is attached below.

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