The probability that the larger of the two rolls was equal to 5 is; 2/9
<h3>Probability of possible outcomes</h3>
The total number of possible outcomes when the dice is rolled twice is 36 outcomes.
Now, for the larger of the two rolls to equal 5, the total number of favourable outcomes are 8 which are;
(1, 5), (2, 5), (3, 5), (4, 5), (5, 1), (5, 2), (5, 3), (5,4)
Thus, probability that the larger of the two rolls was equal to 5 is;
P(larger of 2 rolls equals 5) = 8/36 = 2/9
Read more about probability of possible outcomes at; brainly.com/question/19916581
According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.
<h3>How to apply translations on a given function</h3>
<em>Rigid</em> transformations are transformation such that the <em>Euclidean</em> distance of every point of a function is conserved. Translations are a kind of <em>rigid</em> transformations and there are two basic forms of translations:
Horizontal translation
g(x) = f(x - k), k ∈
(1)
Where the translation goes <em>rightwards</em> for k > 0.
Vertical translation
g(x) = f(x) + k, k ∈
(2)
Where the translation goes <em>upwards</em> for k > 0.
According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.
To learn more on translations: brainly.com/question/17485121
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Answer:
1/61.8 its right valu of x
Step-by-step explanation:
here we find the first valu and second is also same but there isx so cross the eqal side and get same answer
Answer: Circumcenter
This is the center of the circle that goes through the three vertices of the triangle. This circle is known as the circumcircle. It is the smallest circle possible in which the circle encompasses the triangle and none of the triangle spills outside the circle.
Answer:
D.
Step-by-step explanation:
The equation given takes the point-slope form which is,
. Where,
(a, b) = (x, y) coordinates of a point on the line.
m = slope of the line .
To find which graph has a line equation of
, look for the points which will give you something almost exactly as the equation if you substitute their values into
.
Let's consider option D.
We have a given point (1, 2). a = 1, b = 2.
Substitute these into 
We have:


As you can see, this looks almost exactly as
.
If you want to be certain that option D is the answer, find m by using the coordinates of any other point on the line and plug into
to find m:
In graph D, let's take the points (0, -1)
Divide both sides by -1
3 = m
m = 3.
Therefore, option D is the graph of the line
.