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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

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

3 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