Answer:
0.281 = 28.1% probability a given player averaged less than 190.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A bowling leagues mean score is 197 with a standard deviation of 12.
This means that 
What is the probability a given player averaged less than 190?
This is the p-value of Z when X = 190.



has a p-value of 0.281.
0.281 = 28.1% probability a given player averaged less than 190.
Answer:
2x(3x−2)
Step-by-step explanation:
Factor
− 4x
− 4x
=2x(3x−2)
Hope this helps!
Think about this. What do the numbers in a coordinate stand for? They stand for X and Y. If you're trying to figure out what the X is, wouldn't you be solving for x? And didn't they just give you an equation? ;) First off, do you see how the "Y" value is given to you in the coordinate? All you have to do is substitute that 3 in for the "y" in the equation! 3=2x+5. Hey.... that looks like a simple equation! First, you need to subtract 5 from the other side of the equation. Now you're left with 2x=-2. Divide both sides by 2, and you get that x=-1. Now, just substitute that "x' value into the coordinate, and your answer should come out to be (-1, 3). :D
Answer:
There are 24 possible outcomes.
Step-by-step explanation:
1. 1-2-3-4
2. 1-4-3-2
3. 1-4-2-3
4. 1-2-4-3
5. 1-3-2-4
6. 1-4-3-2
7. 2-4-3-1
8. 2-1-3-4
9. 2-1-4-3
10. 2-4-1-3
11. 2-3-1-4
12. 2-3-4-1
13. 3-2-1-4
14. 3-2-4-1
15. 3-1-2-4
16. 3-1-4-2
17. 3-4-1-2
18. 3-4-2-1
19. 4-3-2-1
20. 4-3-1-2
21. 4-2-3-1
22. 4-2-1-3
23. 4-1-2-3
24. 4-1-3-2
Hope this helps!!