sammy is playing a board game. he rolls two number cubes, each numbered 1-6. if he rolls a sum of 3 he wins s60 dollars, otherwise he loses

$5 dollars. how much does sammy expect to win or lose on average per roll.

Sammy is expected to lose $1.39 on average per roll

Step-by-step explanation:

Since Sammy is rolling two six-sided cubes, the number of possible outcomes is given by:

6 x 6 =36

Out of those 36 outcomes, only two would result in a sum of 3, rolling a 1 and 2 or a 2 and a 1. Therefore, the probability of winning (P(W)) and the probability of losing (P(L)) are:

The expected value is defined as the sum of the product of the likelihood of each event by its payout:

Sammy is expected to lose $1.39 on average per roll.

there is nothing below so i cannot

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places