Abedroom is shaped like a pentagon. a designer wants to put a triangular bookshelf in the corner marked on the diagram. the sum of the interior angles of a pentagon is 540°540°. which statement is correct?

a. the bookshelf angle is too small because the corner is more than 110°110°.

b. the bookshelf angle is too large because the corner is less than 110°110°.

c. it cannot be determined if the bookshelf will fit in the corner.

d. the bookshelf will fit exactly because the corner is 110°110°.

Micah solves a linear equation and concludes that x = 0 is the solution. his work is shown below. (1 – 3x) = 4(– + 2) 0 = x which statement is true about micah’s solution?

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e. g. 98.7654). x f(x) 0 1 2 3

Acompany manufactures large valves, packed in boxes. a shipment consists of 1500 valves packed in 75 boxes. each box has the outer dimensions 1.2 x 0.8 x 1.6 m and the inner dimensions 1.19 x 0.79 x 1.59 m. the boxes are loaded on a vehicle (truck + trailer). the available capacity in the vehicle combination is 140 m3. each valve has a volume of 0.06 m3. - calculate the load factor on the box level (%). - calculate the load factor on the vehicle level (%). - calculate the overall load factor (%).