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jennsou
18.07.2020 •
Mathematics
The Westwood Warriors basketball team wants to score more points. To get better at scoring points the team is trying to improve its offensive strategies. Some opponents primarily use a zone defense, while others primarily use a man-to-man defense. When the Warriors play against teams that use a zone defense they score an average of 67 points per game with a standard deviation of 8 points per game. When they used a new offensive strategy against this defense, they scored 77 points. What is the Z-score of this value
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Ответ:
It is better for the warriors to use man-to-man defense.
Step-by-step explanation:
The complete question is: The Westwood Warriors basketball team wants to score more points. To get better at scoring points the team is trying to improve its offensive strategies. Some opponents primarily use a zone defense, while others primarily use a man-to-man defense. When the Warriors play against teams that use a zone defense they score an average of 67 points per game with a standard deviation of 8 points per game. When they play against teams that use a man-to-man defense they score an average of62 points per game with a standard deviation of 5 points per game.
Since the Warriors started using their improved offensive strategies they have played two games with the following results.
Against the McNeil Mavericks
Maverick defense: zone
Warrior points: 77
Against the Round Rock Dragons
Dragon defense: man-to-man
Warrior points: 71
What is the Z-score of these values?
We are given that when the Warriors play against teams that use a zone defense they score an average of 67 points per game with a standard deviation of 8 points per game. When they play against teams that use a man-to-man defense they score an average of62 points per game with a standard deviation of 5 points per game.
We have to find the z-scores.
Finding the z-score for the zone defense;Let X = points score by warriors when they use zone defense
The z-score probability distribution for the normal distribution is given by;
Z =
~ N(0,1)
where,
= mean score = 67 points
It is stated that the Warriors scored 77 points when they used zone defense, so;
z-score for 77 =![\frac{X-\mu}{\sigma}](/tpl/images/0709/3101/4db78.png)
=
= 1.25
Finding the z-score for the zone defense;Let X = points score by warriors when they use man-to-man defense
The z-score probability distribution for the normal distribution is given by;
Z =
~ N(0,1)
where,
= mean score = 62 points
It is stated that the Warriors scored 71 points when they used man-to-man defense, so;
z-score for 71 =![\frac{X-\mu}{\sigma}](/tpl/images/0709/3101/4db78.png)
=
= 1.8
So, it is better for the warriors to use man-to-man defense.
Ответ:
-58, -38, -18
Step-by-step explanation:
if for the nth term, the value is 20n-78, then for the 1st term, the value will be 20(1)-78
So we just need to use this formula for every term, starting from the 1st, until the value is no longer negative
20(1)-78 = 20-78= -58
20(2)-78 = 40-78= -38
20(3)-78 = 60-78= -18
20(4)-78 = 80-78= 2
so those are the only negative terms
cya at RSM today