Let x be the total money she had
So x-45.32=32.25
□ x =45.32+32.25
(12 - 9) / 12 = (40 - x) / 40
3/12 = (40 - x) / 40
40(1/4) = 40 - x
10 = 40 - x
10 - 40 = -x
-30 = -x
30 = x <=== percent decrease from 40 to 30
The variable is Quantitative, has Interval level of measurement.
Variables which can be quantified & expressed numerically are Quantitative variables. Eg : as given , price
Variables which cant be qualified & expressed numerically are Qualitative variables. Eg : level of honesty, loyalty etc
Nominal & Ordinal are qualitative variables : signifying yes or no to a category (like men or women) , or ranks (x better than y) respectively. So price level is not such categorical & ordinal ratio.
Quantitative ratio variables are with reference to time , or are in forms of rate (like speed , growth per year). So, price level is not such ratio variable also.
Price is a quantitative variable, in which the ranking, its difference can be calculated. This is characteristic of a <u>Quantitative Interval Variable</u>.
Answer: SSS
Proof:
In ΔMLQ and ΔNPQ,
MQ = NQ (given) S
Since Q is the midpoint of LP, by definition, LQ = QP (S)
LM = PN (given) S
∴ ΔMLQ ≡ ΔNPQ (SSS)