Answer:

Step-by-step explanation:
Given

Required
Rewrite and identify a, b and c
The required form is:

Equate both expressions

Rewrite as:

Compare the expressions on either sides

Answer:
x = 6 cm
Step-by-step explanation:
Given ratio of sides of similar figures = a : b , then
ratio of areas = a² : b²
Here ratio of areas = 5 : 45 = 1 : 9 , so
ratio of sides =
:
= 1 : 3
Thus side of B is 3 times side of A
x = 3 × 2 = 6 cm
Answer:

And using the probability mass function we got:
Step-by-step explanation:
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find the following probability:

And using the probability mass function we got:
Answer:
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Step-by-step explanation:
Answer:

Step-by-step explanation:
The given function is

To find g(n-7), we substitute x=n-7 to obtain;

Expand the parenthesis to obtain;

Simplify:
