A probability distribution has a mean of 57 and a standard deviation of 1.4. Use Chebychev’s inequality to find the value of c that guarantees the probability is at least 96% that an outcome of the experiment lies between 57 - c and 57 - c. (Round the answer to nearest whole number.)
a. 7
b. 9
c. 5
d. 3
e. 1
a. 7
Mathematics
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Provide an appropriate response.Find the direction in which the function is increasing most rapidly at the point P0.f(x, y) = xy2 - yx2, P0(-1, 1)
A. 
i + 
j
B. 
i + 
j
C. 
i - 
j
D. 
i - 
j
Mathematics
Find the center of mass of a thin plate of constant density covering the given region.The region bounded by y = x2 and y = 9
A. 
= 0, 
= 
B. 
= 0, 
= 
C. 
= 0, 
= 
D. 
= 0, 
= 15
Mathematics
Find the midpoint of the segment with the given endpoints.
and 
A. 
B. 
C. 
D. 
Mathematics
Solve the equation.27 - 3x = 
A. {3}
B. {-3}
C. {1}
D. 
Mathematics