MOCK TEST - 1_MATHEMATICS AND STATISTICS

For the triangle traverse shown, a surveyor determines the angle at A, distance AC, and the angle at C to be 28.8°, 75.6 ft, and 117.2°, respectively. The distance (ft), BC, across the stream is most nearly:

• 55.2

• 65.1

• 71.7

• 139.6

The radius of a circle defined by the equation x^2 + y^2 − 4x + 6y = 23 is:

• 6

• 23

• 36

• 44

The area (ft²) of the archway section shown is most nearly:

• 3.80

• 3.98

• 4.12

• 4.15

If vector A = 6i−1j+3k and vector B = 4i+cj−2k, what value of c makes is vector A perpendicular to vector B?

Traffic Accidents at an intersection were recorded with the following probabilities for the number of accidents per day on a certain freeway for one month. Let X be the number of accidents per day. What is the value of "Mean"?

Traffic Accidents at an intersection were recorded with the following probabilities for the number of accidents per day on a certain freeway for one month. Let X be the number of accidents per day. What is the value of "Standard Deviation"?

The following data is obtained from a compressive strength on concrete specimens. Using the least squares method, the strength of the mix at a water-to-cement ratio of 0.55 is most nearly:

• 3903

• 1477

• 3606

• 4617

The two foci coordinates of the hyperbola 16x^2−9y^2=144 are:

• (5,0) & (−5,0)

• (1.7,0) & (−1.7,0)

• (3,0) & (−3,0)

• (4.5,0) & (−4.5,0)

Identify the conic section represented by the equation x^2 − 10x − 8y + 9 = 0:

• Hyperbola

• Ellipse

• Circle

• Parabola

The correct graph for the parabola with the standard form of (y−5)^2 = −8(x−1) is: 

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