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jimena15
07.04.2020 •
Mathematics
Each of two computers randomly generate a number between 2 and 7, then finds the sum of the two values. Using the sample space provided below and assuming each simple event is as likely as anyother, find the probability that the sum is divisible by 4 .
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Ответ:
0.25
Step-by-step explanation:
Since each of the computer generates a number between 2 and 7, the sample space is given below:
The total Sample space, n(S)=36
The pair which adds up to a multiple of 4 are those not enclosed by brackets on the table.
Number of Pairs that whose sum is divisible by 4=9
Probability that the sum is divisible by 9![=\frac{9}{36}=\frac{1}{4}=0.25](/tpl/images/0586/9575/bc12b.png)
Ответ:
The correct option is (B) left 1 unit.
Step-by-step explanation: We are given to select the translation that maps the vertex of the graph of the function
onto the vertex of the function ![g(x)=x^2+2x+1.](/tpl/images/0519/3433/e0a44.png)
We have
We know that the vertex form of a function is given by
where the vertex is the point (h, k).
So, the vertex form of f(x)
And, the vertex form of g(x) is
The required translation from the vertex of f(x) to the vertex of g(x) is
(0, 0) ⇒ (0-1, 0) = (-1, 0).
Thus, the vertex of f(x) is translated 1 unit left to get the vertex of g(x).
Option (B) is CORRECT.