Answer:
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Step-by-step explanation:
Answer:
2 Answers By Expert Tutors
Consider as an example a box of length L, width W, and height H. If all linear dimension are doubled the area becomes 4 (22) times the original
Step-by-step explanation:
google
Answer:
V(max) = 8712.07 in³
Dimensions:
x (side of the square base) = 16.33 in
girth = 65.32 in
height = 32.67 in
Step-by-step explanation:
Let
x = side of the square base
h = the height of the postal
Then according to problem statement we have:
girth = 4*x (perimeter of the base)
and
4* x + h = 98 (at the most) so h = 98 - 4x (1)
Then
V = x²*h
V = x²* ( 98 - 4x)
V(x) = 98*x² - 4x³
Taking dervatives (both menbers of the equation we have:
V´(x) = 196 x - 12 x² ⇒ V´(x) = 0
196x - 12x² = 0 first root of the equation x = 0
Then 196 -12x = 0 12x = 196 x = 196/12
x = 16,33 in ⇒ girth = 4 * (16.33) ⇒ girth = 65.32 in
and from equation (1)
y = 98 - 4x ⇒ y = 98 -4 (16,33)
y = 32.67 in
and maximun volume of a carton V is
V(max) = (16,33)²* 32,67
V(max) = 8712.07 in³
Answer:
a) 0.145
b) 0.013
c) 0.783
d) 0.586
Step-by-step explanation:
a) there are always 52 cards in total, 13 hearts
Pa = 39/52 × 38/51 × 13/50 = 19266/132600 = 257/1700 =0.145
b) there are always 13 diamonds in a complete card
Pb = 13/52 × 12/51× 11/50 = 11/850 = 0.013
c) there are always 4 aces, and 48 that are not aces
Pc = 48/52 × 47/51 × 46/50 = 4324/5525 = 0.783
d) there are 13 hearts,to get at least one heart we have.
Pd = 1 - p
Where p is the probability of no hearts
p = 39/52 × 38/51 × 37/50 = 703/1700 = 0.414
Pd = 1 - 0.414
Pd = 0.586
Answer is A (-5 , 1)
Coordinate point (-5 , 1) lies in the shaded region
Hope it helps
