If the <em>n</em>-th term of the sequence is given by <em>n</em> ² - 2, then the 5th term is obtained by simply replacing <em>n</em> with 5 :
5² - 2 = 25 - 2 = 23
In other words, the event<span> has no effect on the probability of another </span>event<span> occurring. </span>Independent events<span> in probability are no different from </span>independent events<span> in real life. ... When two </span>events<span> are </span>independent<span>, one </span>event does not influence the probability of another event<span>.</span>
The one way to determine factors of x³ + 11x² – 3x – 33 will be
.
<h3>What is a factorization?</h3>
It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The steps involved in the factorization are;
1. For each pair of parentheses, we create a common factor.
2. We use x2 as a common factor for the first parenthesis.
3. We use common factor 3 for the second parenthesis.

We will find the final solution as
.
Hence the one way to determine factors of x³ + 11x² – 3x – 33 will be
.
To learn more about the factorization refer to the link;
brainly.com/question/24182713
Solve equation for y.
5x - y = 3
-y = -5x + 3
y = (-5x + 3)/(-1)
y = 5x - 3
The slope for this equation is 5.
The slope of the equation we want is the negative reciprocal of 5.
Let m = slope of equation we want.
m = -1/5
We are given the point (10,4).
Plug both into the point-slope formula.
y - 4 = (-1/5)(x - 10)
y - 4 = (-1/5)x + 2
y = (-1/5)x + 2 + 4
The equation we want is
y = (-1/5)x + 6
Did you follow?