Answer:
A and C
Step-by-step explanation:
Equivalent expressions are expression which when simplified to lowest terms are equal.
Simplify each answer choice to find the expression which simplifies to
.
A. Multiply the exponents 3*2 = 6. This is equal.
B. Multiply numerators and denominators. Here the numerator will be 1*1 = 1. It does not equal 2 in the numerator.
C. Here the numerator does equal 2. The denominator multiplies to 
This is equal.
D. The denominator will have three terms here when simplified. This will not be equal.
Part a: For variable X using z score you have (x-30)/10, replace X for this expression in (a), i mean Z=2+10((x-30)/10) = 2+x-30= put this in the way of z score = (x-18)/1, so the mean is 18 and standard deviation is 1.
Part b: Z=X+Y= (x-30)/10 + (x-20)/8 = solve adding fractions = (18x-440)/80 now divide all the numbers between 18 (because you need to show as z score way) = (x-24.4)/4.4, so the mean is 24.4 and standard deviation is 4.4.
For part c,do the same.
3x^2 - 72 = 0
3x^2 = 72
x^2 = 24
x = squareroot(24)
x = 4.9