At the point when Hannah takes her first sweet from the sack, there is a 6/n chance it is orange.
This is because that there are 6 orange desserts and n desserts altogether.
When Hannah takes out her second sweet, there is a 5/(n-1) chance that it is orange.
This is because there are just 5 orange desserts let alone for an aggregate of n-1 desserts.
The possibility of getting two orange desserts in succession is the main likelihood increased by the second one: 6/n x 5/n–1
The question lets us know that the shot of Hannah getting two orange desserts is 1/3.
So: 6/n x 5/n–1 = 1/3
Now, rearrange this problem.
(6x5)/n(n-1) = 1/3
This gets to be:
30/(n² – n) = 1/3
Times by 3 on both sides:
90/(n² – n) = 1
What's more, doing likewise with (n² – n):
So (n² – n) = 90
Our answer is: n² – n – 90 = 0
Im pretty sure that answer is four!
Start off with: 5 1/6 - 1 5/9
turn it into an entire fraction: 31/6 - 14/9
make a common denominator (which is 18): 93/18 - 28/18 = 93 - 28 = 65/18
65/18 + 7 2/3 is the new equation
7 2/3 = 23/3
23/3 = 138/18
65/18 + 138/18 = 203/18
Simplify: 203/18 = 11 5/18
Answer: 11 5/18
Answer:
The domain is (2,5,-3,0)
Step-by-step explanation:
we know that
For a set of ordered pairs, the first elements of each ordered pair represents the domain of the function and second elements of each ordered pair represents the range of the function.
The domain of a function is the set of all possible values of x
In this problem we have
![A= \ [(2,3), (5,1).(-3,-2), (0, 3)\ ]](https://tex.z-dn.net/?f=A%3D%20%5C%20%5B%282%2C3%29%2C%20%285%2C1%29.%28-3%2C-2%29%2C%20%280%2C%203%29%5C%20%5D)
therefore
The domain is (2,5,-3,0)
Answer: The unit rate of $96 spent in 4 hours is, $24 per hour.
Step-by-step explanation: To find the unit rate, you will need to write the information as a ratio, $96/4 hours. If you divide 96 by 4 you will get 24. That means this person spends $24 every hour or $24 per hour or $24/1 hour.