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stepladder [879]
3 years ago
9

The conditional relative frequency table was generated using data that compared a student’s grade level and whether or not they

are involved in after-school activities.
A 4-column table with 3 rows. The first column has no label with entries 10th grade, 11th grade, total. The second column is labeled after-school activities with entries 0.43, 0.55, 0.49. The third column is labeled no after-school activities with entries 0.57, 0.45, 0.51. The fourth column is labeled total with entries 1.0, 1.0, 1.0.

Given that a student is in 10th grade, what is the probability that the student is also not involved in after-school activities?

0.43
0.45
0.55
0.57
Mathematics
2 answers:
faust18 [17]3 years ago
7 0

Answer:

D

Step-by-step explanation:

ruslelena [56]3 years ago
3 0

Answer:

D. 0.57

Step-by-step explanation:

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stealth61 [152]

Answer:

M_x = 2, M_y = 3

Center of mass at (\frac{3}{10},\frac{2}{10})

Step-by-step explanation:

Given a set of objects m_1, \dots, m_k located at the points P_1(x_1, y_1), \dots, P_k(x_k,y_k) The moments Mx and My are calculated as follows.

M_x = \sum_{n=1}^k m_n\cdot y_n, M_y = \sum_{n=1}^k m_n\cdot x_n

and the Center of mass is given at the coordinates (\frac{My}{M}, \frac{Mx}{M}) where M is the total mass of the system.

We have that m1=3, m2=4 and m3=3, so M = 3+4+3 = 10.

We have that m1 is at point P1(2,-6), m2 at point P2(-3,2) and m3 at point P3 (3,4), then

M_x = \sum_{n=1}^k m_n\cdot y_n = 3\cdot(-6)+4\cdot(2)+3\cdot(4)=2

M_y = \sum_{n=1}^k m_n\cdot x_n = 3\cdot(2)+4\cdot(-3)+3\cdot(3)= 3

Then, the center of Mass is at (\frac{3}{10},\frac{2}{10})

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<em>L.H.S</em>

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<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>(</em><em>cos</em><em>²</em><em>x-</em><em> </em><em>sin</em><em>²</em><em>x</em><em>)</em><em>/</em><em> </em><em>sinxcosx</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>[</em><em> </em><em>cos</em><em>²</em><em>x-</em><em>(</em><em>1</em><em>-cos</em><em>²</em><em>x</em><em>)</em><em>]</em><em>/</em><em>sinxcosx</em>

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