Hello!
₉P₄ means the number of permutations of 9 objects chosen 4 at a time.
<span>This is 9! / (9-4)! = 362,880 / 120 = 3024.
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nPr = n!/(n-r)!
<span>nCr = n!/(n-r)!r!
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<span>So as said, in this case its 9P4=9!\5!=9*8*7*6=3024
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Hope this Helps! Have A Wonderful Day! :)
Answer:
B, D, E
Step-by-step explanation:
Anything <em>greater </em>than -5 is in the domain.
Answer:
18 divided by 2/9, or 18/(2/9) (Is this what the first option was meant to say?)
Step-by-step explanation:
18 inches is the amount of space that needs to be filled, or divided up into sections to see how many things can fit.
2/9 is the width of the thing that you need to see how many fit, meaning it's the thing you're dividing by.
Combined, this means your expression is 18 divided by 2/9, or 18/(2/9). I think this is what your first option was meant to say, because if it is what it says, then the first and second option would be the exact same wrong thing.
You DON'T multiply, because if you think about easy numbers, an inch thick book should have 18 fit, and a half-inch thick book should have double that fit. As you get a <em>smaller</em> book, the number that fit increase, which can't happen with multiplication.
You also don't start with 2/9 because that's the width of the book. You're not trying to see how many boxes can fit into each book; that'd be ridiculous.
Answer:
0.0636
Step-by-step explanation:
The probability the first die has twelve sides is 4/11.
The probability the second die has twelve sides is 3/10.
The probability the third die does not have twelve sides is 7/9.
The probability the fourth die does not have twelve sides is 6/8.
The probability of all four events is:
4/11 × 3/10 × 7/9 × 6/8 = 0.0636
You find the rates of each computer on its own...
One does the job in 55 minutes which we can say is 1/55
The other has a rate of 1/45.
The question wants to know how long it would take both working simultaneously to complete the job...
t/55+t/45=1
(9t+11t)/495=1
20t=495
t=24.75 minutes (24:15)