The manager of a warehouse would like to know how many errors are made when a product’s serial number is read by a bar-code read
2 answers:
Answer with Step-by-step explanation:
Six samples are collected of the number of scanning errors: 36, 14, 21, 39, 11, and 2 errors
Mean=(Sum of all observations)/(Total number of observations)
=(36+14+21+39+11+2)/6
= 123/6
= 20.5
Standard deviation is the square root of mean of squares of deviation around mean
Deviation around mean:
36-20.5, 14-20.5, 21-20.5, 39-20.5, 11-20.5, and 2-20.5
15.5,-6.5,0.5,18.5,-9.5 and -18.5
Square of deviations:
240.25,42.25,0.25,342.25,90.25 and 342.25
Mean of square of deviations
=(240.25+42.25+0.25+342.25+90.25+342.25)/6
=176.25
square root of mean of deviations=
Hence, Standard deviation=13.28
and Mean=20.5
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Hi there!
We can calculate dy/dx using implicit differentiation:
xy + y² = 6
Differentiate both sides. Remember to use the Product Rule for the "xy" term:
(1)y + x(dy/dx) + 2y(dy/dx) = 0
Move y to the opposite side:
x(dy/dx) + 2y(dy/dx) = -y
Factor out dy/dx:
dy/dx(x + 2y) = -y
Divide both sides by x + 2y:
dy/dx = -y/x + 2y
We need both x and y to find dy/dx, so plug in the given value of x into the original equation:
-1(y) + y² = 6
-y + y² = 6
y² - y - 6 = 0
(y - 3)(y + 2) = 0
Thus, y = -2 and 3.
We can calculate dy/dx at each point:
At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.
At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.
Here is all the work and answers for these questions they are all correct i checked them all and ive done this assignmnet before
