Answer:
42p^4 + 9p^3q^2 -18p^2q^2 = p^2 (42p^2 + 9pq^2 - 18q^2)
Step-by-step explanation:
To answer this, we simply look for that term that is common to all
Looking at the given expression, we can see that the term we are looking for is p^2
Thus, we have that;
42p^4 + 9p^3q^2 -18p^2q^2 = p^2 (42p^2 + 9pq^2 - 18q^2)
When we multiply the term outside the bracket with each of the terms inside, we get back the original term
Answer:

Step-by-step explanation:
Given
ID Card of 5 digits
Possibly Digits = {0,1...,9}
Required
Probability that a card has exact number 94213
First, we have o determine the total possible number of ID card numbers
Let the card number be represented by ABCDE
Given that repetition of digits is not allowed;
<em>A can be any of 10 digits</em>
<em>B can any of the remaining 9 digits</em>
<em>C can be any of the remaining 8 digits</em>
<em>D can be any of the remaining 7 digits</em>
<em>E can be any of the remaining 6 digits</em>
<em />
Total number of cards = 10 * 9 *8 * 7 * 6
Total = 30240
Provided that the card number is generated at random; each card number has the same probability of 
Hence, the probability of having 94213 is 
Decrease = New number - Original Number
% Decrease =

× 100
Decrease = 9 - 12 = -3
% Decrease =

= -0.25 × 100 = -25
Your answer =
-25
Answer:
Step-by-step explanation:
I need help.to
Answer:
B) 0.894
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
A local animal rescue organization receives an average of 0.55 rescue calls per hour.
This means that 
Probability that during a randomly selected hour, the organization will receive fewer than two calls.

In which



