If you don't want to express this into fractions, then you take the inverse of the exponents in your denominator. For example, 8 would be 8^-1, x^4 would be x^-4, y^3 would be y^-3 and z would be z^-1. Then, just multiply all of them. The final answer would be
3 x 8^-1 x a²b³c^5x^-4y^-3z^-1
I hope my explanation helped you understood the solution :)
Answer:
1.5
Step-by-step explanation:
Applying,
Z = (x-μ)/σ................. Equation 1
Where Z = Z score for a height of 67 inches, x = height, μ = mean of the height, σ = standard deviation of the height.
From the question,
Given: x = 67 inches, μ = 64 inches, σ = 2 inches.
Substitute these values into equation 1
Z = (67-64)/2
Z = 3/2
Z = 1.5
Answer:
x = -5
y = 0
Step-by-step explanation:
x-y = -5 -----eqn 1
x-y = 1/3 ------eqn 2
From eqn 1
x-y = -5
x = -5 + y -----eqn 3
From eqn 1
-5+y-y = -5
y = 0
Eqn 3
x = -5 + 0
x = -5
The answer is the last one. This is because negatives don't work in a square root.
Answer:
$1,164.80
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
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First, we need to change 6.5% into a decimal:
6.5% -> 
-> 0.065
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:
The balance after 4 years will be $1,164.80
