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levacccp [35]
3 years ago
6

• What is the pobability of getting exactly 500 heads out of 1000 coin flips? Approximate it to within 5% of the true value with

out a calculator.
Mathematics
1 answer:
oksian1 [2.3K]3 years ago
3 0

Answer:Probability of getting exactly 500 heads=0.025

Step-by-step explanation:Probability of getting exactly 500 heads= 1000C500(0.5)^1000=0.025

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The sum of the interior angles of a hexagon is _____.
kupik [55]
<span>The sum of the interior angles of a hexagon is 720

In short, Your Answer would be Option D

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5 0
3 years ago
Read 2 more answers
MARSVECTORCALC6 3.4.020. My Notes A rectangular box with no top is to have a surface area of 64 m2. Find the dimensions (in m) t
ioda

Answer:

We would have

                                    l =w =\frac{8\sqrt{3}}{3} \\h = \frac{8\sqrt{3}}{6}

where " l " is  length, " w"  is width and "h" is height.

Step-by-step explanation:

Step 1

Remember that

         Surface area for a box with no top = lw+2lh+2wh = 64

where " l " is  length, " w"  is width and "h" is height.

 Step 2.

Remember as well that

                              Volume of the box = l*w*h

Step 3

 We can now use lagrange multipliers.  Lets say,

                                    F(l,w,h) = lwh

and

                                g(l,w,h) = lw+2lh+2wh = 64

By the lagrange multipliers method we know that                            

 

                                                     \nabla F  = \lambda \nabla g

Step 4

Remember that

                          \nabla F  = (wh,lh,lw)

and

                      \nabla g = (w+2h,l+2h , 2w+2l)

So basically you will have the system of equations

                              wh = \lambda (w+2h)\\lh = \lambda (l+2h)\\lw = \lambda (2w+2l)

Now, remember that you can multiply the first eqation, by "l" the second equation by "w" and the third one by "h" and you would get

                                   lwh = l\lambda (w+2h)\\\\lwh = w\lambda (l+2h)\\\\lwh = h\lambda (2w+2l)

Then you would get

                      l\lambda (w+2h) = w\lambda (l+2h) =  h\lambda (2w+2l)

You can get rid of \lambda from these equations and you would get

                         lw+2lh = lw+2wh =  2wh+2lh

And from those equations you would get

                                             l = w =2h

Now remember the original equation

                                    lw+2lh+2wh = 64

If we plug in what we just got, we would have

                                 l^{2} + l^{2} + l^2   =  64 \\3l^{2} = 64 \\l = w = \frac{8\sqrt{3} }{3} \\h = \frac{8\sqrt{3} }{6}

                       

                                                 

7 0
3 years ago
Sammy has 4 bags of marbles. Each bag has 12 marbles in it. Which equation represents how many total marbles he has
kumpel [21]

Answer:

t = 4 x 12

Step-by-step explanation:

t = total # of marbles

Equation: t = 4 x 12

=48

4 0
2 years ago
Read 2 more answers
So if i wake up at 7:00 every day what time should i go to bed if i need nine hours of sleep
balandron [24]

Answer:

10pm

Step-by-step explanation:

10pm + 2 hours = 12am

12am + 7 hours = 7am,

2 + 7 = 9

8 0
3 years ago
HELP HELP HELP !!!!!
Mademuasel [1]

Answer:

4294967296 Kilograms

Step-by-step explanation:

Great Pyramid has 2^21 blocks

2^21 = 2097152, so

2097152 blocks

Blocks weigh 2^11 each

2^11 - 2048, so

2048 kg per block

2097152(number of blocks) x 2048(weight in kilograms per block) = The Great Pyramid in Egypt weighs 4294967296 Kilograms

7 0
3 years ago
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