First find least common denominator to subtract.
9=(3)×3
15=(3)×5
3×3×5=45 is lcd
4/9=20/45
7/15=21/45
(20/45-21/45)=(20-21)/45=-1/45
-1/45÷13/10
multiply by reciprocal instead of dividing
-1/45×10/13=(1×10)/(45×13)
-10/585
Answer:
It can be proved that the circle R is similar to the circle Q by translating the circle R a displacement of (-6, 12).
Step-by-step explanation:
We can demonstrate that Circle R is similar to Circle Q by translating the center of the former one to the center of latter one. Meaning that every point of circle R experiments the same translation. Vectorially speaking, a translation is defined by:
(1)
Where:
- Original point.
- Translated point.
- Translation vector.
If we know that 
and 
, then the translation vector is:
It can be proved that the circle R is similar to the circle Q by translating the circle R a displacement of (-6, 12).
I hope this helps you
-8d-(-3w)
-8d+3w
Answer:
A. x = 4
Step-by-step explanation:
Answer:
The probability that none of the $100 bills are selected is 79.6%.
Step-by-step explanation:
The urn contains forty $1 bills and ten $100 bills. This gives a total of 50 bills in the urn.
To draw 3 dollar bills one at a time out of an urn, the probability of not selecting a $100 bill, decreases with each selection.
And the probability of not selecting a $100 bill is the probability of selecting a $1 bill in the first selection = 80% (40/50 x 100).
The probability of selecting a $1 bill the second time = 79.6% (39/49).
The probability of selecting a $1 bill the third time = 79.2% (38/48).
The sum of the probabilities divided by 3 = 79.6% (238.8/3)
b) Probability arises when there is a chance that an event may occur from a set of events that could have occurred. It is based on an estimate that one event happens when all the events in the set are given no less equal chance.
