Rewrite the system of inequalities, adding slack variables or subtracting surplus variables as needed.2x1 + x3 ? 532x1 + x2 ? 35 x1 + x3 ? 18
A. 2x1 + x3 - s1 = 53
2x1 + x2 + s2 = 35
B. 2x1 + x3 + s1 = 53
2x1 + x2 - s2 = 35
x1 + x3 - s3 = 18
C. 2x1 + x3 + s1 = 53
2x1 + x2 - s2 = 18
x1 + x3 - s3 = 35
D. 2x1 + x3 - s1 = 53
2x1 + x2 + s2 = 35
x1 + x3 + s3 = 18
Answer: B
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Find the indicated probability or percentage for the normally distributed variable.Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. A vending machine will only accept coins weighing between 5.48 g and 5.82 g. What percentage of legal quarters will be rejected?
A. 1.6% B. 1.9% C. 0.019% D. 2.5%
Provide an appropriate response.Use a calculator to find sin 0.9657. Round to four significant digits.
Fill in the blank(s) with the appropriate word(s).
Write the vector v in terms of i and j whose magnitude 
and direction angle ? are given.
= 10, ? = 120°
A. v = -5
i + 5
j
B. v = 5i - 5
j
C. v = -5i + 5
j
D. v = 5
i - 5j
For the pair of functions, find the indicated sum, difference, product, or quotient.f(x) = x - 2, g(x) = x - 7Find (f + g)(-3).
A. -11 B. -1 C. -15 D. 3