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otez555 [7]
4 years ago
14

Please help me I am stuck.

Mathematics
1 answer:
dybincka [34]4 years ago
7 0

Answer:

$3300

Step-by-step explanation:

Mean: <em>(n₁ + n₂ + n₃ + ...)/n</em>

Plug in:<em> (2600 + 3100 + 2800 + 3200 + f)/5 ≥ 3000</em>, where <em>f = sales on Friday</em>

Add: <em>(11700 + f)/5 = 3000</em>

Multiply: <em>11700 + f = 15000</em>

Subtract: f = $3300

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The angle between the two extreme vectors of Sofia bats is 74.60 degrees.

In this question,

The angle between two vectors will be deferred by a single point, which is called as the shortest angle at which we have to turn around one of the vectors to the position of co-directional with another vector.

The extreme vectors of Sofia bats are  \vec u = < -8, 12 > and \vec v = < -8, 12 >

The angle between the vectors is

\theta = cos^{-1} \frac{\vec u.\vec v}{||\vec u|| ||\vec v||}

The dot product is calculated as

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The magnitude can be calculated as

||\vec u|| = \sqrt{(-8 )^{2} +(12)^{2} }

⇒ \sqrt{64+144}

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||\vec v|| = \sqrt{(13 )^{2} +(15)^{2} }

⇒ \sqrt{169+225}

⇒ \sqrt{394}

Thus the angle between the vectors is

\theta = cos^{-1} \frac{76}{(\sqrt{208} )(\sqrt{394} )}

⇒ \theta = cos^{-1} \frac{76}{\sqrt{81952} }

⇒ \theta = cos^{-1} \frac{76}{286.27 }

⇒ \theta = cos^{-1} (0.2654)

⇒ \theta=74.60

Hence we can conclude that the angle between the two extreme vectors of Sofia bats is 74.60 degrees.

Learn more about angle between two vectors here

brainly.com/question/19726452

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