You can roll a total of 6 by rolling (1, 5), (2, 4), (3, 3), (4, 2), or (5, 1). There are 36 total possible rolls that can be obtained, so you roll a total of 6 with probability 5/36.
You can roll a total of 11 by rolling (5, 6) or (6, 5), hence with probability 2/36 = 1/18.
Any of the other remaining 29 outcomes occurs with probability 29/36.
The expected value of your winnings is
$18*5/36 + $72*1/18 - $9*29/36 = -$0.75
so the answer is E.
They stop at the same time after 4 times for the southbound bus to return and five times for the northbound bus returns to the bus stop
First of all, to find the slope, you need to subtract the y's in the numerator over the x's in the denominator. Then you use Y-Y₁=slope(X-X₁) using either of the two points. If you want to simplify it further into slope-intercept form, you need to distribute on the right side of the equation.
Answer:
15 pigs 22 chickens
Step-by-step explanation:
So if there are 15 heads, that means there 15 pigs and we know chickens have 2 legs, so we do do 44/2 = 22, so there are 15 pigs and 22 chickens
4x + 2x< 5x-13
solve
6x < 5x-13
subtract 5x
x< (-13)