Answer:
–0.5
Step-by-step explanation:
Expected value is found by multiplying the probabilities of each roll by the amount won or lost with each roll.
The odd rolls are 1, 3 and 5. The probability of rolling a 1 is 1/6, and the value is 1; this gives us 1/6(1) = 1/6.
The probability of rolling a 3 is 1/6, and the value is 3; this gives us 1/6(3) = 3/6.
The probability of rolling a 5 is 1/6, and the value is 5; this gives us 1/6(5) = 5/6.
Rolling any even number gives us the same value. The probability of rolling an odd number is 3/6, and the value is -4; this gives us 3/6(-4) = -12/6.
Together we have
1/6+3/6+5/6-12/6 = 4/6+5/6-12/6 = 9/6-12/6 = -3/6 = -0.5
Given equation is y=2x+7 and 
Let's simplify the 2nd equation before we can start graph so that calculation will be easy
multiply both sides by 2 to cancel out fractions
y=2x+7
which is exactly same as the first equatoin so graph of both will be exactly same and solution will be infinitely many solutions.
y=2x+7 has y-intercept 7 so first point will be (0,7). Slope is 2 so rise 2 unit up then 1 right and graph the new point.
Fist we find the legnth of the diagonal
a^2+b^2=c^2
3^2+4^2=c^2
9+16=c^2
25=c^2
c=5
now the other diagonal
11^2+5^2=c^2
121+25=c^2
146=c^2
sqrt both sides12.083
closest is B
I can't tell if that is a question but I will answer it anyway:
An exterior of a shape is the lengths and angles outside of the shape.
An interior are the lengths and angles inside a shape.
Hope this helps.
Step-by-step explanation:
3x+8y=27
3x=27-8y
x=27-8y/3
4(27-8y/3) + 3y=13
36-32/3y +3y =13
36-23/3y=13
36-13=23/3y
y=3
x=1
