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3 years ago

N+5/16=-1 Solve for n I will reward Brainliest

Mathematics

1 answer:

Wittaler [7]3 years ago

3 0

Answer:

Step-by-step explanation:

−

n+\frac{5}{16}=-1

n+165=−1

Solve

Subtract

\frac{5}{16}

165

from both sides of the equation

−

n+\frac{5}{16}=-1

n+165=−1

−

n+\frac{5}{16}{\color{#c92786}{-\frac{5}{16}}}=-1{\color{#c92786}{-\frac{5}{16}}}

n+165−165=−1−165

Simplify

Solution

−

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3 years ago

The Westwood Warriors basketball team wants to score more points. To get better at scoring points the team is trying to improve

Makovka662 [10]

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 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 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 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 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 = $\frac{X-\mu}{\sigma}$ ~ 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 = $\frac{X-\mu}{\sigma}$

= $\frac{77-67}{8}$ = 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 = $\frac{X-\mu}{\sigma}$ ~ 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 = $\frac{X-\mu}{\sigma}$

= $\frac{71-62}{5}$ = 1.8

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

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