Answer:
<em>The probability of obtaining the letter p twice is 1/121</em>
Step-by-step explanation:
<u>Probability of Recurring Events</u>
There are 11 letters in the word 'independent', one of which is the letter 'p'.
When those letters are written on individual cards and they are put into a box, there are 11 different choices to pick at random.
This means the individual probability of getting a 'p' is:

The card is reinserted into the box, leaving the sample space unaltered, thus the second card has the same probability:

We'll use the multiplication rule. Just multiply the probability of the first event by the second.


The probability of obtaining the letter p twice is 1/121
Answer: 84/96 and 40/96
Step-by-step explanation: You find a denominator that they both have in common. The LCM is 96 and you get the answer! You multiply 1 side by 8 and the other by 12 and you get the answer!
1st:
f(x) = x^2.
f(x +1): Anywhere we see x we replace it with (x+1)
f(x+1) = (x+1)^2 , Expand
(x+1)^2 = (x+1)(x+1) = x^2 + 2x + 1= C.
2nd:
Noting general equation, y = mx + c
m = slope, c = vertical intercept.
From the graph, slope = (2,0) and (0, -4)
= (-4 -0) / (0 - 2) = -4/-2 = 2.
Vertical intercept, c = -4.
y = mx + c , y = 2x + (-4), y = 2x - 4 = D.
3rd:
f(x) = x^2 - x, f(-4). we would substitute x = -4.
f(-4) = (-4)^2 - (-4) = 16 + 4 = 20 = D.
Cheers.