Answer:
5.0 
Step-by-step explanation:
The volume of a rectangular prism is given as:
V = L * W * H
where L = length
W = width
H = height
Put all the dimensions in the same unit, metre (m).
Length = 5 m
Width = 40 cm = 40 / 100 = 0.4 m
Height = 2500 mm = 2500/1000 = 2.5 m
The volume of the prism is:
V = 5 * 0.4 * 2.5 = 5.0
bearing in mind that perpendicular lines have negative reciprocal slopes, hmmm what's the slope of the equation above?
![\bf 2x-4y+8=0\implies -4y=-2x-8\implies y = \cfrac{-2x-8}{-4} \\\\\\ y = \cfrac{-2x}{4}-\cfrac{8}{-4}\implies y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{2}}x+2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%202x-4y%2B8%3D0%5Cimplies%20-4y%3D-2x-8%5Cimplies%20y%20%3D%20%5Ccfrac%7B-2x-8%7D%7B-4%7D%20%5C%5C%5C%5C%5C%5C%20y%20%3D%20%5Ccfrac%7B-2x%7D%7B4%7D-%5Ccfrac%7B8%7D%7B-4%7D%5Cimplies%20y%20%3D%20%5Cstackrel%7B%5Cstackrel%7Bm%7D%7B%5Cdownarrow%20%7D%7D%7B-%5Ccfrac%7B1%7D%7B2%7D%7Dx%2B2%5Cqquad%20%5Cimpliedby%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20slope-intercept~form%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y%3D%5Cunderset%7By-intercept%7D%7B%5Cstackrel%7Bslope%5Cqquad%20%7D%7B%5Cstackrel%7B%5Cdownarrow%20%7D%7Bm%7Dx%2B%5Cunderset%7B%5Cuparrow%20%7D%7Bb%7D%7D%7D%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
so we're really looking for the equation of a line whose slope is 2 and runs through (2,-5),
Answer:
a) e probability that a randomly selected baseball has a weight greater than 5.14 ounces
=P(X>5.14) =(b-x)/(b-a) =(5.155-5.14)/(5.155-5.085)=0.2143
b)
probability that a randomly selected baseball has a circumference less than 9.03 inches
=P(X<9.03) =(x-a)/(b-a) =(9.03-9)/(9.1-9)=0.3
c) probability that a randomly selected baseball will have a weight between 5.11 and 5.13 ounces and a circumference between 9.04 and 9.06 inches
=((5.13-5.11)/(5.155-5.085))*((9.06-9.04)/(9.1-9.0))=0.0571
