Reflect across the y axis and moved through the translation x = 2
Answer:
there was 12 pencil's in each package because 12 ×4=48 48 -8=40
-2|x-4|+7 = -3
-2|x-4| = -10
|x-4| = 5
Two forms:
x-4 = 5 : x = 9
or
x-4 = -5 : x = -1
Answer:

Step-by-step explanation:
We have been given a polynomial
and we are supposed to simplify our polynomial.
We will use factoring to simplify our polynomial. Let us factor out the greatest common factor of all the terms.
We can see that 16, 6 and 4 has 2 as their greatest common factor.
The greatest common factor of
is r.
The greatest common factor of
is t.
So the greatest common factor of the terms of our expression will be
.
Let us factor out
from our given polynomial.

As we can not factor our expression more, therefore, we will get
after simplifying our polynomial.
Answer:
a)0,45119
b)1
Step-by-step explanation:
For part A of the problem we must first find the probability that both people in the couple have the same birthday (April 30)

Now the poisson approximation is used
λ=nP=80000*1/133225=0,6
Now, let X be the number of couples that birth April 30
P(X ≥ 1) =
1 − P(X = 0) =

P(X ≥ 1) = 0,45119
B) Now want to find the
probability that both partners celebrated their birthday on th, assuming that the year is 52 weeks and therefore 52 thursday

Now the poisson approximation is used
λ=nP=80000*52/133225=31.225
Now, let X be the number of couples that birth same day
P(X ≥ 1) =
1 − P(X = 0) =

P(X ≥ 1) = 1