A 52-card deck is made up of an equal number of diamonds, hearts, spades, and clubs. Because there are 4 suits, there is a 1/4 chance to draw one of them, in our case, spades.
There are 4 aces in a 52-card deck, so the chance of drawing one is 4/52, or 1/13.
The question asks for the probability of drawing an ace or a spade. Because it uses the word "or," we add the probabilities together. This is because there is a chance of drawing either of the cards; it doesn't have to meet both requirements to satisfy the statement.
However, if the question were to say "and," we would multiply the two probabilities.
Let's add 1/4 and 1/13. First, we can find a common denominator. We can use 52 because both fractions can multiply into it (since the ratio came from a deck of 52 cards as well).


Now we can add them together.

This cannot be simplified further, so the probability is 17 in 52, or 33%.
hope this helps!
Answer:
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Step-by-step explanation:
Answer:
There is a vertical change of 3 units down.
Answer:
Step-by-step explanation:
The given function is
and we need to graph it.
In order to graph this function, we'll find below things:
Horizontal asymptote:
Since the degree of both numerator and denominator is same. Hence, the horizontal asymptote is the ratio of leading coefficient of numerator to the leading coefficient of denominator.
Horizontal asymptote is y = 1/1 = 1
Vertical asymptote:
Vertical asymptote occurs where the denominator is zero.

x-intercepts:
For x-intercept, y = 0
y-intercepts:
For y-intercept, x= 0
Using these, we can draw the graph of the rational expression.