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Setler [38]
3 years ago
10

becky is rolling a number cube with the numbers 1 through 6 what is the probability she will roll 4 or 5

Mathematics
1 answer:
Serggg [28]3 years ago
5 0
Probability is desired outcome divided by total outcomes.

There is only 1 four and 1 five on a die. Thus, there are 2 outcomes she wants.

There are 6 sides.

2/6 = 1/3 or 0.33 probability.
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If 1200 cm^2 of material is available to make a box with a square base and an open top find the largest possible volume of the b
strojnjashka [21]
Surface area of box=1200 cm² 
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
 = the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>


<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>

by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>


<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000 
v=4000</span>
4 0
2 years ago
A semicircle has a diameter of 17.6 cm.
Ray Of Light [21]

Answer:

B. 45.23 cm

Step-by-step explanation:

perimeter of the figure

=\frac{1}{2}\pi d+d

=\frac{1}{2}\times 3.14\times 17.6 +17.6

=\frac{1}{2}\times 55.264 +17.6

=27.632 +17.6

=45.232

=45.23\: cm

7 0
3 years ago
What is the solution to the system of equations 2x + 3y = 40 and y = x +<br>10?<br>oy - y - 12​
marissa [1.9K]

Answer:

hope this is correct

4 0
2 years ago
Josh had 4 five-dollar bills. Then his grandfather gave him 1 ten-dollar bill How much money does Josh have now?​
WARRIOR [948]

Answer:

30 dollars

Step-by-step explanation:

4(5) + 10 = 20 + 10 = 30

7 0
2 years ago
Read 2 more answers
2c-5=9 Please Help! And show work!!
larisa [96]
2c=14 (move 5 to the other side by adding it to 9)
c=7 (divide by 2 to get c on its own)
7 0
3 years ago
Read 2 more answers
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