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jeka57 [31]
3 years ago
9

You are playing a game in which a single die is rolled. If a 2 or 5 comes up, you win $36, otherwise you lose $36. What is your

expected value for the game?
Mathematics
1 answer:
ozzi3 years ago
7 0
Your expected value is 36*2/6 + -36*4/6, which is equal to $-12.
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Viktor [21]

Answer:

<h2> (2, -1)</h2>

Step-by-step explanation:

Given the function f(x) = 8x³ − 12x² − 48x, <em>the critical point of the function occurs at its turning point i,e at f'(x) = 0</em>

First we have to differentiate the function as shown;

f'(x)= 3(8)x^{3-1}- 2(12)x^{2-1} - 48x^{1-1}\\  \\f'(x) = 24x^2 - 24x-48x^0\\\\f'(x) = 24x^2 - 24x-48\\\\At \ the\turning\ point\ f'(x)= 0\\24x^2 - 24x-48 = 0\\\\\\

Dividing \ through \ by \ 24\\\\x^2-x-2 = 0\\\\On \ factorizing\\\\x^2-2x+x-2 = 0\\\\x(x-2)+1(x-2) = 0\\\\(x-2)(x+1) = 0\\\\x-2 = 0 \ and \ x+1 = 0\\\\x = 2 \ and \ -1

Hence the critical numbers of the function are (2, -1)

8 0
3 years ago
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Serga [27]
20.83333333333333333
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Find the total surface area of this triangular prism.<br> 17 cm<br> 8 cm<br> 2 cm<br> 15 cm
kumpel [21]

Answer:

<em> 200cm²</em>

Step-by-step explanation:

Total surface area of the prism = bh + L(s1+s2+s3)

b is the base of the triangle = 15cm

h is the height of the triangle = 8cm

Perimeter of the triangular base = s1 + s2 + s3 = 8+17+15

Perimeter of the triangular base = 40cm

L is the lateral height = 2cm

Substitute the given values into the formula;

Total surface area of the prism = 15(8) + 2(40)

Total surface area of the prism = 120+80

Total surface area of the prism  = 200cm²

<em>Hence the total surface area of the prism is 200cm²</em>

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Fed [463]

Answer:

We need an attachment or more details to help you.

Step-by-step explanation:

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