There are 8 possible outcomes for a marble being drawn and numbered.
{1,2,3,4,5,6,7,8}
There are 4 possible outcomes for a card being selected from a standard deck.
{ <span>hearts, diamonds, clubs, spades}
So the number of outcomes in the sample space would be 8 x 4 = 32.
In the event "an even number is drawn", there are only 4 possible outcomes for a marble being drawn, {2,4,6,8}, whereas there are still 4 possible outcomes for a suit. So the number of outcomes in the event is 4 x 4 = 16.
</span><span>In the event "a number more than 2 is drawn and a red card is drawn", there are 6 possible outcomes for the marble being drawn, {3,4,5,6,7,8}, whereas there are only two possible suits for a card being selected as red, {heart, diamond}. So the number of outcomes in this event is 6 x 2 = 12.
In the event </span><span>"a number less than 3 is drawn or a club is not drawn", the number drawn could be 1 or 2 whereas a spade/heart/diamond could be selected. So the number of outcomes is 2 x 3 = 6.</span><span>
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Answer:
Awww love you man!
(And me lol)
Step-by-step explanation:
3/8 in = 0
3/16 in = 0
4/8 in = 1/2
Hope this helped :) have a great day <3
Answer:
350
Step-by-step explanation:
so the first step is to find the values of each of them
7x10^6=7000000
2x10^4=20000
then we divide 7000000 by 20000
7000000/20000=350
so the answer is 350
hope this helps :)
Answer:
1. an = (-1)^(n-1)·(n+2)!/3^n
2. the sequence diverges
Step-by-step explanation:
Perhaps you're concerned with the sequence ...
{2, -24/9, 120/27, -720/81, ...}
1. This is neither arithmetic nor geometric. Ratios of terms are -4/3, -5/3, -6/3.
The alternating signs mean one factor of the general term is (-1)^(n-1). The divisors of 3 in the term ratios indicate 3^-n is another factor. The increasing multipliers suggest that a factorial is involved.
If we rewrite the sequence factoring out (-1)^(n-1)/3^n, we have ...
{6, 24, 120, 720, ...}
corresponding to 3!, 4!, 5!, 6!. This lets us conclude the remaining factor is (n+1)!.
The general term is ...
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2. The magnitude of the factorial quickly outstrips the magnitude of the exponential denominator, so the terms keep getting larger and larger.
The sequence diverges.
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3. No series are provided.
