Here are 4 triangles that have each been transformed by a different transformation.

Mathematics

1 answer:

Ugo [173]2 years ago

4 0

This is about understanding rigid transformations.

Option 4 is not a rigid transformation.

In mathematics, transformation could be;

Rigid Transformation; This includes reflection, rotation, translation.

Non - Rigid Transformation; This includes dilation and shear.

Now, a transformation is said to be a rigid transformation when the newly transformed image retains the same shape and size as it was before it was transformed. Although it can change position.

Whereas, it is termed non - rigid transformation if the shape or size changes.

Let us look at the triangles in the option;

Option 1; In this option, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.

Option 2; In this option, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.

Option 3; Similar to options 1 & 2, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.

Option 4; We see that one of the triangles is bigger than the other. Since the transformed triangle is not the same size as it was before transformation, then it is not a rigid transformation.

Read more at; brainly.com/question/16979384

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Shalnov [3]

7 + 8(2r - 9)

mutiply the bracket by 8

(8)(2r)= 16r

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7+16r-72

7-72+16r ( rearranging)

answer:

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3 years ago

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a statistics professor finds that when he schedules an office hour at the 10:30a, time slot, an average of three students arrive

Veseljchak [2.6K]

Answer:

The probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.

Step-by-step explanation:

Let X = number of students arriving at the 10:30 AM time slot.

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A random variable representing the occurrence of events in a fixed interval of time is known as Poisson random variables. For example, the number of customers visiting the bank in an hour or the number of typographical error is a book every 10 pages.

The random variable X is also a Poisson random variable because it represents the fixed number of students arriving at the 10:30 AM time slot.

The random variable X follows a Poisson distribution with parameter λ = 3.

The probability mass function of X is given by:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,3...,\ \lambda>0$