Answer: Yes they are
Step-by-step explanation:
<h2>4⁷×4⁵</h2><h3>{a^m×a^n=a^(m×n)}</h3><h3>=4^(⁷×-⁵)</h3><h3>=4^-35</h3>
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Answer:
a) 
b) 
c) 
d) 
Step-by-step explanation:
For each container, there are only two possible outcomes. Either it is undefilled, or it is not. This means that we can solve this problem using the binomial probability distribution.
Binomial probability distribution:
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem
There are 10 containers, so
.
A food-packaging apparatus underfills 10% of the containers, so
.
a) This is P(X = 1)

b) This is P(X = 3)

c) This is P(X = 9)

d) This is
.
Either the number is lesser than five, or it is five or larger. The sum of the probabilities of each event is decimal 1. So:


In which







So

Finally

The new coordinates of A'B'C' creates a triangle that is larger than ABC.
<h3>Transformation</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>translation, reflection, rotation and dilation.</em>
If a point A(x, y) is dilated by a scale factor k, the new point is at A'(kx, ky).
Given that:
- Triangle ABC has the following coordinates: A(4 , 5), B(5 , 3), and C(2 , 3)
If it is dilated by a scale factor of 3, the new point is at:
- A'(12, 15), B'(15, 9) and C'(6, 9)
Therefore the new coordinates of A'B'C' creates a triangle that is larger than ABC.
Find out more on dilation at: brainly.com/question/10253650