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Veseljchak [2.6K]
3 years ago
10

suppose you pay $2.00 to roll a fair die with the understanding that you will get back $4.00 for rolling a 1 or a 6, nothing oth

erwise. what is your expected value
Mathematics
1 answer:
otez555 [7]3 years ago
6 0
I don't get it. What do you mean. Sorry I couldn't answer it
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Differentiate y=x⁴(1-2x⁵)⁶(5-8x³)².​
Liula [17]

Step-by-step explanation:

Let y(x)=f(x)g(x)h(x) where

f(x) = x^4

g(x)= (1 -2x^5)^6

h(x)= (5 - 8x^3)^2

so that

y(x) = x^4(1 -2x^5)^6(5 - 8x^3)^2

Recall that the derivative of the product of functions is

y'(x)=f'(x)g(x)h(x)+f(x)g'(x)h(x)+f(x)g(x)h'(x)

so taking the derivatives of the individual functions, we get

f'(x) = 4x^3

g'(x) = 6(1 - 2x^5)^5(-10x^4)

h'(x) = 2(5 - 8x^3)(-24x^2)

So the derivative of y(x) is given by

y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2 +  x^4 6(1 -2x^5)^5(-10x^4)(5 - 8x^3)^2 +  x^4(1 -2x^5)^6 2(5 - 8x^3)(-24x^2)

or

y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2

\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- 60x^8(1 -2x^5)^5(5 - 8x^3)^2

\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- 48x^6(1 -2x^5)^6 2(5 - 8x^3)

3 0
2 years ago
Find the equation of the circle whose center is at (2,3) and radius is 6
Advocard [28]

Answer:

Step-by-step explanation:

7 0
2 years ago
Huilan is 7 years younger than thomas the sum of their age is 59 what is thomas age
Tems11 [23]

Answer: Thomas is 33 years old

Step-by-step explanation:

59-7=52

52÷2=26

26+7=33

So therefore Thomas is 33 years old

5 0
3 years ago
Read 2 more answers
A light bulb consumes 1440 watt hours per day. How long does it take to consume 4680 watt hours?
Lisa [10]
3.25 hours you take 4680÷1440 = 3.25
8 0
3 years ago
the larger of two number is 15 more than three times the smaller number. If the sum of the two numbers is 63, find tge numbers.
irakobra [83]
X is the smaller number. 3x + 15 is the larger number. So x + 3x + 15 = 63. 4x + 15 = 63.
4x = 48. x = 12. (Smaller number) The larger 36 + 15 or 51.
6 0
3 years ago
Read 2 more answers
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