Solve the problem.A rectangular board is 2 by 3 units. The foci of an ellipse are located to produce the largest area. A string is connected to the foci and pulled taut by a pencil in order to draw the ellipse. Find the length of the string.
A. 6
B. 4
C. 2
D. 3
Answer: D
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Solve the problem.Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 
and a standard deviation of 0.04 ounce. Find the probability that the bottle contains between 12.34 and 12.40 ounces.
A. 0.8351 B. 0.1525 C. 0.8475 D. 0.1649
First determine which number (x or y) is more accurate, then which is more precise.x = 0.035, y = 9494
A. y, y B. x, x C. x, y D. y, x
Provide an appropriate response.The position of an object in free fall near the surface of the plane where the acceleration due to gravity has a constant magnitude of g (length-units)/sec2 is given by the equation: s = -
gt2 + v0t + s0, where s is the height above the earth, v0 is the initial velocity, and s0 is the initial height. Give the initial value problem for this situation. Solve it to check its validity. Remember the positive direction is the upward direction.
A. 
= g , s '(0) = v0, s(0) = s0
B. 
= -g
C. 
= -gt , s(0) = s0
D. 
= -g , s '(0) = v0, s(0) = s0
Find the value of r and determine if a correlation exists at the indicated level of significance.
?? = 0.01
A. r = 0.9710; Correlation exists. B. r = 0.9710; Correlation does not exist. C. r = 0.9971; Correlation exists. D. r = 0.9997; Correlation exists.