Answer:
The Awnser Is Y=9/7
Step-by-step explanation:
 
        
             
        
        
        
We're going to be using combination since this question is asking how many different combinations of 10 people can be selected from a set of 23.
We would only use permutation if the order of the people in the committee mattered, which it seems it doesn't.
Formula for combination:

Where  represents the number of objects/people in the set and
 represents the number of objects/people in the set and  represents the number of objects/people being chosen from the set
 represents the number of objects/people being chosen from the set
There are 23 people in the set and 10 people being chosen from the set


Usually I would prefer solving such fractions by hand instead of a calculator, but factorials can result in large numbers and there is too much multiplication. Using a calculator, we get

Thus, there are 1,144,066 different 10 person committees that can be selected from a pool of 23 people. Let me know if you need any clarifications, thanks!
~ Padoru
 
        
                    
             
        
        
        
Answer:
54°
Step-by-step explanation:
Your triangle is isosceles. You have been given the third angle, and you have been asked to find the measure of one of the two equal angles. We know that the internal angles of a triangle sum to 180, so 
 
        
             
        
        
        
Distance = (rate)(time)
In this problem, note that both girls traveled the same distance.
Karens distance = r * 1.5 hrs          we dont know her rate
Nancy distance = 50 * 1 hr              we know she started 30 min later
                                                         but arrived at the same time
since the distances are equal
r*1.5 = 50 * 1          all you have to do is solve for r
1.5r = 50
r = 50/1.5
r = 33 1/3 miles per hour
        
             
        
        
        
In an arithmetic sequence, the difference between consecutive terms is constant. In formulas, there exists a number  such that
 such that

In an geometric sequence, the ratio between consecutive terms is constant. In formulas, there exists a number  such that
 such that

So, there exists infinite sequences that are not arithmetic nor geometric. Simply choose a sequence where neither the difference nor the ratio between consecutive terms is constant.
For example, any sequence starting with

Won't be arithmetic nor geometric. It's not arithmetic (no matter how you continue it, indefinitely), because the difference between the first two numbers is 14, and between the second and the third is -18, and thus it's not constant. It's not geometric either, because the ratio between the first two numbers is 15, and between the second and the third is -1/5, and thus it's not constant.