The oppiste of -2 2/3 is 2 2/3
Answer: a) The figure can be reasonably divided into two geometries:
• a rectangular prism
• a hemisphere.
b) The volume of the rectangular prism is given by
V = lwh
V = (10 cm)(5 cm)(4 cm) = 200 cm³
The volume of the hemisphere is given by
V = (2π/3)r³
V = (2π/3)(3 cm)³ = 18π cm³
c) The total volume of the figure is
total volume = (prism volume) + (hemisphere volume)
V = 200 cm³ + 18π cm³
V ≈ 256.549 cm³
Step-by-step explanation:
A. P[TTTTH] = .55^4*.45 = .0412
<span>b. P[HHHT] = .45^4*.55 = .0226 </span>
<span>c. 1/.45 = 2.222 </span>
<span>d. 1/.55 = 1.818</span>
X+y<=20 is false, because it tries to correlate the amount of hats and scarfs with the time, without considering the time to knit each object
x<=5 is correct, he can at most make 5 hats for more he is missing yarn
y<=8 is correct, same reasoning but with scarfs
5x+8y<=20 is false, it compares the yarn requirements with the total time
12x+6y<=20 is correct, a corrected version of the first constraint which uses the worktime of each object essentially meaning "the time worked on all objects has to be less than the 20 hour time total"
so
x<=5
y<=8
12x+6y<=20
are correct
