<span>Answer: Skewed to right with mean 0 and S.D. 1
Explanation: Let's assume the z-scores as a linear transformation.
then z=(x-mean)/S.D. = (x-30)/15
z(mean) = (30-30)/15= 0
z(sigma) = 15/15 = 1
Note: Shape does not change.</span>
Answer: roughly 4.2593
Step-by-step explanation:
920/216
put the equation through a calculator
approx. 4.2593
Answer:
Shorter leg = 2.5 ft.
Longer leg = 6.5 ft.
Step-by-step explanation:
a^2 + b^2 = c^2
Because the hypotenuse = 7 ft, a^2 + b^2 = 49
To represent the two legs, we can use x and x+4.
x^2 + (x+4)^2 = 49
Simplifying this equation using FOIL gives us 2x^2 + 8x - 33 = 0.
Then, using the quadratic formula, we find that x = 2.5.
Thus, the shorter leg is 2.5 ft. and, when 4 is added, the longer leg is 6.5 ft.
I believe it's a rational number, since it's an integer.