Answer is 4.5 Show all
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Conditional probability is a measure of the probability of an event given that another event has occurred. If the event of interest is A and the event B is known or assumed to have occurred, "the conditional probability of A given B", or "the probability of A under the condition B", is usually written as P(A|B), or sometimes

.
The conditional probability of event A happening, given that event B has happened, written as P(A|B) is given by

In the question, we were told that there are three randomly selected coins which can be a nickel, a dime or a quarter.
The probability of selecting one coin is

Part A:
To find <span>the probability that all three coins are quarters if the first two envelopes Jeanne opens each contain a quarter, let the event that all three coins are quarters be A and the event that the first two envelopes Jeanne opens each contain a quarter be B.
P(A) means that the first envelope contains a quarter AND the second envelope contains a quarter AND the third envelope contains a quarter.
Thus

</span><span>P(B) means that the first envelope contains a quarter AND the
second envelope contains a quarter
</span><span>Thus

Therefore,

Part B:
</span>To find the probability that all three coins are different if the first envelope Jeanne opens contains a dime<span>, let the event that all three coins are different be C and the event that the first envelope Jeanne opens contains a dime be D.
</span><span>

</span><span>

</span><span>
Therefore,

</span>
C. Alternate interior angles theorem
The angles labeled are on the inside of lines l and m and they are also on alternate sides of the unnamed line
:)))
Answer:
15 feet and 1 inch long
Step-by-step explanation:
add up the feet: 4+6+3= 13 feet
add up the inches: 5+9+11 = 25 inches
25/12= 2 feet 1 inch
13 feet + 2 feet + 1 inch= 15 feet 1 inch
Answer:
I guess we have the table:
x f(x)
-4 7
-2 5
0 3
2 1
4 - 1
To find the slope of this, we need to select two different points (x1, y1) and (x2, y2) and use the relation:
slope = (y2 - y1)/(x2 - x1)
let´s use the first two:
(-4,7) and (-2, 5)
Slope = (5 - 7)/(-2 - (-4)) = -2/2 = -1
Now, if we want to be sure that this is a linear equation, we should do the same for other two pairs of points, now use the first and the third:
(-4, 7) and (0,3)
S = (3 - 7)/(0 -(-4)) = -4/4 = -1
Now, for the function g(x) we can see a constant line, that is parallel to the x-axis.
This means that the slope of this function is equal to zero.
This means that the slope of g(x) is bigger than the slope of f(x), because 0 > 1