You have 12 different video games. How many different ways can you arrange the games side by side on a shelf?
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Answer:
The set of transformations has been performed on triangle ABC is dilation by a scale factor of 2 followed by reflection about the x-axis
Step-by-step explanation:
Let us write the vertices of Δ ABC
∵ Vertex A = (-2, -1)
∵ Vertex B = (0, 0)
∵ Vertex C = (1, -3)
Let us Write the vertices of Δ A'B'C'
∵ Vertex A' = (-4, 2)
∵ Vertex B' = (0, 0)
∵ Vertex C' = (2, 6)
Let us find the scale factor k between the x-coordinates of the points and their images.
∵ -4 = k (-2) ⇒ Divide both side by -2
∵ =
∴ 2 = k
∴ The scale factor of a dilation is 2
∵ The signs of the y-coordinates of the images are the opposite of
the signs of the y-coordinates of the points
∴ The triangle is reflected about the x-axis
∴ The set of transformations has been performed on triangle ABC
is dilation by a scale factor of 2 followed by reflection about the x-axis
Solution: The given random experiment follows Binomial distribution with
Let be the number of adults who use their smartphones in meetings or classes.
Therefore, we have to find:
We know the binomial model is:
Therefore, the probability that fewer than 3 of them is 0.1111