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Ksenya-84 [330]
2 years ago
6

5. Ms. Vallejo is flipping a penny. She flips the coin 15 times and gets head 8 of those times. Based on this information, if Ms

. Vallejo flips the penny 60 times, how many heads could she be expected to get?​
Mathematics
2 answers:
tamaranim1 [39]2 years ago
7 0

Answer:

24

Step-by-step explanation:

60/15=3

3*8=24

KatRina [158]2 years ago
7 0

Answer

24

Step-by-step explanation:

60÷15=3 and then you need to X so you do 8x3=24

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Read 2 more answers
A box is to be constructed from a sheet of cardboard that is 10 cm by 60 cm by cutting out squares of length x by x from each co
Stells [14]

Volume of a rectangular box = length x width x height<span>

From the problem statement,
length = 60 - 2x
width = 10 - 2x
height = x</span>

<span>
where x is the height of the box or the side of the equal squares from each corner and turning up the sides

V = (60-2x) (10-2x) (x)
V = (60 - 2x) (10x - 2x^2)
V = 600x - 120x^2 -20x^2 + 4x^3
V = 4x^3 - 100x^2 + 600x

To maximize the volume, we differentiate the expression of the volume and equate it to zero.

V = </span>4x^3 - 100x^2 + 600x<span>
dV/dx = 12x^2 - 200x + 600
12x^2 - 200x + 600 = 0</span>

<span>x^2 - 50/3x + 50 = 0

Solving for x,
x1 = 12.74 ;      Volume = -315.56  (cannot be negative)
x2 = 3.92 ;      Volume = 1056.31

So, the answer would be that the maximum volume would be 1056.31 cm^3.
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