Answer:
(a) between 300 grams and 350 grams (b) 95% (c) 5% (d) 83.85%
Step-by-step explanation:
We have that grams and grams. Let's compute the following figures to use the empirical rule
using the image below that was made it with help of the empirical rule we find the next figures
(a) About 68% of organs will be between 300 grams and 350 grams
(b) 95% of organs weights between 275 grams and 375 grams
(c) 5% of organs weights less than 275 grams or more than 375 grams
(d) 83.85% of organs weights between 300 grams and 400 grams
Y=-x+5
-x+5=1/3x-3
-x+8=1/3x
8=4/3x
6=x
y=-6+5
y=-1
C.
SA=2H(L+W)+LW for open box
20=2H(4+W)+4(W)
distribute
20=8H+2WH+4W
divide both sides by 2
10=4H+WH+2W
solve for 1 variable, pick W
10-4H=WH+2W
10-4H=W(H+2)
(10-4H)/(H+2)=W
V=LWH
subsitute 4 for V, subsitute H for H and (10-4H)/(H+2) for W
V=(4)(H)(10-4H)/(H+2)
V=(40H-16H²)/(H+2)
find max value
take deritivitive of this thing
V'=-16(H²+4H-5)/((H+2)²)
using sign chart
sign changes from positive to negative at H=1
so at H=1
find W
W=(10-4H)/(H+2)
W=2
the dimeionts are
length=4ft
width=2ft
height=1ft
(the volume is 8 cubic feet)