Answer:
Option C The parties with a larger number of customers are associated with the longer times elapsed until the party left the restaurant.
Step-by-step explanation:
The correlation coefficient 0.78 shows that positive association between two variables number of customers and elapsed time until party left restaurant.
The positive association means that as the number of customers in a party increases the elapsed time also increase. So, we can say that the parties with a larger number of customers are associated with the longer times elapsed until the party left the restaurant.
That is 3 slots
12 in 1st slot
11 in 2nd
10 in 3rd
so that is 12*11*10 or 1320 ways
The answer is actually choice A
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If we add up the equations straight down we will have 0a+2b = 6
Note how adding the 'a' terms gives us 3a + (-3a) = 3a-3a = 0a. The 0a term is really 0 since 0 times anything is 0. So the 'a' terms will go away
The equation 0a+2b = 6 turns into 0+2b = 6 and that simplifies to 2b = 6
To isolate b, we divide both sides by 2
2b = 6
2b/2 = 6/2
b = 3
We can stop here since only one answer choice has b = 3, which is choice A. However, let's keep going to find the value of 'a'
Plug b = 3 into any equation with 'a' and 'b', then solve for 'a'
3a+4b = 9
3a+4*3 = 9
3a+12 = 9
3a+12-12 = 9-12
3a = -3
3a/3 = -3/3
a = -1
So a = -1 and b = 3 pair up to form (a,b) = (-1,3)
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To check, plug this ordered pair back into both equations
Equation 1:
3a+4b = 9
3*(-1)+4*3 = 9
-3+12 = 9
9 = 9
Equation 1 has been checked out
Equation 2:
-3a-2b = -3
-3(-1)-2(3) = -3
3 - 6 = -3
-3 = -3
this is true as well
So this confirms that the final answer is choice A
If in a fraction, the numerator or the denominator or both are fractions, then it is called a complex fraction.
Example 1:
![\frac{\frac{3}{4} }{7}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B3%7D%7B4%7D%20%7D%7B7%7D)
Here, since the numerator is a fraction, it is a complex fraction.
Example 2:
![\frac{\frac{1}{2} }{\frac{3}{7} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%7B%5Cfrac%7B3%7D%7B7%7D%20%7D)
Here, since the numerator and the denominator are fractions, it is a complex fraction.
Answer:
The answer is d
y=1/2x+3
Step-by-step explanation: