Answer:
Expected number of matches that occur = 4 matches
Step-by-step explanation:
First of all, let X_i be the event that when we turn over card i if it matches the required cards face.
Thus, for example X_1 is the event that turning over one card results in an ace while X_2 is the event that turning over second card reveals a deuce.
The number of matched cards "N" is given by the sum of this indicator random variable as shown in the attached file;
Answer:
The relation is a function!
Your Domain should be...
{-1, 1, 7, 9}
Your Range should be...
{-1, 8, 9}
WHY?
Your domain is always your x-coordinates, which are the first coordinates in a pair.
Your range is always your y-coordinates, which are the second coordinates in a pair.
When listing the points, it's important to remain a relation CANNOT be a function if the x's repeat, so luckily, they do not repeat.
Also, when listing points for your range, remember, if they repeat, you should only count one of the numbers, as you can see from the answer, there was two nines, but instead I put one.
Answer:
value of k = 6
Step-by-step explanation:
sum of all angles forming a straight line = 180°
so,
- 7k + 8 + 90 + 40 = 180
- 7k + 138 = 180
- 7k = 180 - 138
- 7k = 42
- k = 42/7
- k = 6
hence the value of k = 6
Only one. These problems always have one solution unless something has changed.
The answer to this is 7.5.
