<u>Answer</u>
95,040
<u>Explanation</u>
The interpretation of this expression is; the number of permutation of 5 objects out of 12.
12P5 = 12!/(12-5)!
=12!/7!
=(12×11×10×9×8×7×6×5×4×3×2×1)/(7×6×5×4×3×2×1)
=12×11×10×9×8
=95,040
You’ll need 10 teaspoons because 6 x 2 is 12, so 5 x 2 is 10
Answer:
C
Step-by-step explanation:
If you take the points (1,50), and (2,100) and (3,150) you can see that the graph is increasing by 50 each time
Y=4x+7
So 4 is the rate of change because if you solve for y, x is the rate of change
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!