Answer:
The expected value is $38.46.
Step-by-step explanation:
The probability of drawing a 10 from any suit is 4/52. Multiply this by the earnings, 500:
4/52(500) = 2000/52 = 38.46
Hope this helps!
Answer:




Step-by-step explanation:
Given

Required
Determine equations with same solution as 
For a solution to have the same solution as
, the equation must be expressed as 

This can not be expressed as 

Multiply through by -1


This has the same solution as the given equation

Divide through by 5


This has the same solution as the given equation

Divide through by 2


This can not be expressed as 

Divide through by 2


This has the same solution as the given equation

Multiply through by 2


This has the same solution as the given equation

Multiply through by 3


This can not be expressed as 
The equations with the same solution as
are the ones that we were able to expressed as
.
And the equations are:




Step-by-step explanation:
<u>Step 1: Substitute x from the second equation into the second one</u>







<u>Step 2: Substitute y into the second equation</u>




Answer: 
ANSWER


EXPLANATION
The given sequence is;
-34,-21,-8,5,....
The first term of the sequence is

The common difference is


The recursive definition is given by;


for n=2,3,4,...