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Alexeev081 [22]
3 years ago
8

A circle with radius 6 has a sector with a central angle of 48º.

Mathematics
2 answers:
VARVARA [1.3K]3 years ago
7 0

Answer:

Area of the sector = pi*(6^2)*(48/360)=4.8*pi= 15.079

lubasha [3.4K]3 years ago
7 0

Answer: 24/5 π

​​

Step-by-step explanation:

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Please teach me on how to answer this question. (addmath question)
arsen [322]

We know that \overline{x}=8 so:

\overline{x}=8\\\\\\\dfrac{\sum\limits_{k=1}^7\,x_k}{7}=8\qquad|\cdot7\\\\\\ \boxed{\sum\limits_{k=1}^7\,x_k=56}

We want to calculate:

\sum\limits_{k=1}^7\,\big(2x_k-3\big)^2=\sum\limits_{k=1}^7\,\big(4x_k^2-12x_k+9\big)=\\\\\\=\sum\limits_{k=1}^7\,4x_k^2-\sum\limits_{k=1}^7\,\big12x_k+\sum\limits_{k=1}^7\,9=4\sum\limits_{k=1}^7\,x_k^2-12\sum\limits_{k=1}^7\,x_k+\sum\limits_{k=1}^7\,9=\\\\\\=4\cdot672-12\cdot56+7\cdot9=2688-672+63=\boxed{2079}

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