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

Answers

Answer 1

Answer:

Answer:

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 zonedefense 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 of 62 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 zonedefense 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 of 62 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 = $(X-\mu)/(\sigma)$ ~ N(0,1)

where, $\mu$ = mean score = 67 points

$\sigma$ = standard deviation = 8 points

It is stated that the Warriors scored 77 points when they used zone defense, so;

z-score for 77 = $(X-\mu)/(\sigma)$

= $(77-67)/(8)$ = 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 = $(X-\mu)/(\sigma)$ ~ N(0,1)

where, $\mu$ = mean score = 62 points

$\sigma$ = standard deviation = 5 points

It is stated that the Warriors scored 71 points when they used man-to-man defense, so;

z-score for 71 = $(X-\mu)/(\sigma)$

= $(71-62)/(5)$ = 1.8

So, it is better for the warriors to use man-to-man defense.

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Answers

Answer:

n = -9 or 9

Step-by-step explanation:

-1 + 5|n| = 44

~Add 1 to both sides

5|n| = 45

~Divide 5 to both sides

|n| = 9

~Knowing the absolute value rule, the answer can be positive or negative.

Best of Luck!

Answer:

The value of n is 9 or -9.

Step-by-step explanation:

-1 + 5|n| = 44
=> 5|n| = 44 + 1
=> 5|n| = 45
=> |n| = 45/5
=> |n| = 9 or -9
=> n = 9 or -9

Hence, the value of n is 9 or -9.

Hoped this helped.

$BrainiacUser1357$

Simplify √6+3√6
18√2

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18

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Answers

Answer:

Step-by-step explanation:

√6 + 3√6 = 4√6

Hope this helps

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Answers

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Crocodi

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Alligator

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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What are the differences between the centers and spreads of these

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Select two choices: one for the centers and one for the spreads

D A Centers: The crocodiles have a lower median length than the

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B. Centers: The crocodiles have a greater median length than the

alligators

c. Spreads: The lengths of the alligators are more spread out

D. Spreads. The lengths of the crocodiles are more spread out

PREVIOUS

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Answers

Answer:

(B) Centers: The crocodiles have a greater median length than the alligators

Step-by-step explanation:

The question is incomplete without the diagram. Find attached the diagram used in solving the question

Centers: this is the median of the distribution

Spread: this is the variation of the data distribution. The range can be used to find the spread. If the range is large, the spread is larger and If the range is small, the spread is smaller.

Range = highest value - lowest value

From the diagram:

Median of crocodile = 17

Median of the alligator = 9

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Spread for alligator data = from 7 to 15

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Answer: b and c

Step-by-step explanation:

Which of the following pairs of functions are inverses of each other?

Answers

Answers:

(C)

step by step Explanation:

The answer for this question is going to be C the 2nd last one

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49
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B) multiply the binomials; minimum value;
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D) set each factor equal to zero and solve for x; maximum value;
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Answers

Definitely multiply out the given factors:

f(x) = 10 + 2x - 5x - x^2, or f(x) = -x^2 - 3x + 10
Find the derivative: f '(x) = -2x - 3
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