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
You can set up a proportion. The quick answer is 600
7.5/900 = 2.5/x
x = 900 * 2.5 / 7.5
x = 900 * (1/3)
x = 300
But that is not the answer. The question is what does she save.
900 - 300 = 600
You could get the answer more directly. She does not eat 5 oz cake, so solve for that.
5/x = 7.5/900 Cross multiply
5 * 900 = 7.5 x
4500 = 7.5x Divide by 7.5
4500/7.5 = x
600 = x
Answer: y = 2/3x + 41/3
Step-by-step explanation:
First convert the equation into slope-intercept
3x + 6y = 4y - 4
-4y -4y
3x + 2y = -4
-3x -3x
2y = -3x - 4
y = -3/2x - 2
Perpendicular lines have a negative reciprocal for their slopes.
The negative reciprocal of -3/2 is 2/3
Now using the slope 2/3 you will use the formula y =mx +b and input the slope, and the x and y coordinates of the given point, (-10,7), to solve for the y-intercept.
7 = 2/3(-10) + b
7 = -20/ 3 + b
+ 20/3 + 20/3
b = 20/3 + 21/3 = 41/3
Since the the y-intercept is 41/3 then the equation will be , y = 2/3x + 41/3
Answer:
11669/2
Step-by-step explanation:
108^2=\left(x-1\right)+\left(x-4\right)
I'm going to assume you just mean how do you write the ratio, in which case the answers vary
18:6
18 to 6
or
18/6
