1. Construct a composite shape using at least 4 commonly used shapes. Each shape can be additive or subtractive to the total area. Then, determine the following: a.Area of each shape b.X and Y measurements of the centroid of each shape c.Total area of the composite shape d.X and Y measurements of the centroid of the composite shape       2. Construct a distributed load using at least 3 commonly used shapes. Each shape can be additive or subtractive to the total load. The distributed load is supported by a beam with a pin and a roller. Then, determine the following: a.Equivalent concentrated load of each shape b.X and Y measurements of the centroid of each shape c.Determine the reaction (magnitude and direction) on the supports (pin and roller).

What is the name we use to describe a tightly packed group of points on a scatterplot? would it be a pod,cluster,centroid or would it be a grouping?

Find the cdf and density of X2 where X ∼ N (μ, σ2).

As an industrial engineer is working a test of material used to on a certain product to determine whether it is more economical to repair a damaged area rather than replace the entire structure. The engineer obtained the following data on the bond length (x variable) vs. the rupture load (y variable) Bond Length (mm) Rupture Load (N) 50                                17,052 50                                14,063 80                                26,264 80                                19,600 110                                21,952 110                                26,362 140                                26,362 140                                26,754 170                                31,654 170                                32,928 Find the 95% Confidence Interval for the conditional mean of the response variable at x = 140

integrate ƒ over the given region.Quadrilateral ƒ(x, y) = x>y over the region in the first quadrantbounded by the lines y = x, y = 2x, x = 1, and x = 2

The minimum vertical dimension (B) for the junction box shown in the Figure is _______

Determine the relative dimensions of a rectangular box without a lid and with a volume of 36u ^ 3 ifwants to use the least amount of material in manufacturing.   A) X=Y=Z=2√(3root9) B) X=Y=Z=√(3root9) C) X=Y=Z=5√(3root9) D) X=Y=Z=7√(3root9)

4.1 Find the area and centroid bounded by: 10

Find the center of mass of the given system of point masses.

23. Find the measure of the size of JKL then classify it by its sides