I believe it is the commutative property, hope this helps!
Answer: 453
Step-by-step explanation:
To solve the question, we have to calculate the margin of error which will be:
= (61.7% - 52.3%) / 2
= 9.4% / 2
= 4.7%
4.7% = 1 / ✓n
0.047 = 1 / ✓n
✓n = 1 / 0.047
✓n = 21.28
Square both sides to.gwt the value of n
n = 21.28²
n = 452.69
n = 453
453 residents were surveyed
So, first lets define our variables:
let x = the number of dimes
let y = the number of nickels
so our first equation would be x+y = 16
Since dimes are 10 cents and nickels are 5 cents the next equation would be as follows:
.10x+.05y = 1.35
now change the first equation so y = -x+16
now substitute:
.10x+.05(-x+16) = 1.35
then multiply so you get .10x+-.05x+0.8=1.35
combine like terms and you get .05x+0.8 = 1.35
then subtract 0.8 from both sides and you get .05x = 0.55 then subtract
and you get x = 11 then substitute 11 for where x should be and you should get y = 5
So, you have 11 dimes and 5 nickels
Answer:
23.76%
Step-by-step explanation:
