Answer:
1/32
Step-by-step explanation:
Since we want to find the probability that all five coins land on heads, we must first find the total number of possibilities. Since there are 2 choices for each coin to land on, heads or tails, the total number of possibilities is 2^5 = 32.
Since there is only one way to to land on all heads, the probability is 1/32.
Answer: x = -6
Step-by-step explanation: The problem gave us the y value, so we can just substitute it into the equation and solve it.
y = x - 6
y = 2x
2x = x - 6 (substitute the y value into the equation)
1x = -6 (subtract x on each side)
x = -6 (1x is basically saying x so you do not need to divide)
A direct variation has a constant slope, i.e. (y/x)= constant.
Both of the given two points give a slope of (y/x)=14/2=28/4=7, so the equation of the function is
y/x=7, or simply
y=7x
By definition we have that the volume is given by
V = h * w * l
where
V: Volume
h: height
w: width
l: length
Clearing the height we have:
h = V / (w * l)
h = (5 - x) / ((x) * (x - 2))
The expression is not defined for the values of x that make the denominator zero:
((x) * (x - 2)) = 0
x = 0
x = 2
Answer
h = (5 - x) / ((x) * (x - 2))
x = 0
x = 2
