F(3)=5 // f(3)=2(3)-1 = 5
13.33 is the correct answer
Step-by-step explanation:
similar triangles means that if the angles are the same in both triangles, then the lengths of the corresponding sides relate to each other via the same multiplication factor.
in our example here, both triangles are similar, because they have the same angles.
the side of 6m length corresponds to the side of 72m length. that is a multiplication factor of 72/6 = 12.
now, also the other 2 sides would use the exactly same factor.
therefore, the height of the building is 2×12 = 24m.
The ending balance of the account is given as $972.25.
The checks that are there for clearance are of amounts $15.00 ,$9.23 and $22.50 .
Balance in the account after the checks are cleared =
972.25-( 15.00+9.23+22.50) =972.25-46.73=$925.52.
The amounts that are deposited are $123.56 and $156.78.
Balance in the account after the amounts were deposited =
925+123.56+156.78=1205.86.
Balance that should appear in the checkbook register is $1,205.86.
There are three ways to achieve the combination of one male singer, one female singer, and no voice instrumental
Male - Female - No Voice
Male - No Voice - Female
Female - Male - No Voice
Female - No Voice - Male
No Voice - Male - Female
No Voice - Female - Male
For each combination, the probabilities are
MFN = 0.45×0.4×0.15 = 0.027
MNF = 0.45×0.15×0.4 = 0.027
FMN = 0.4×0.45×0.15 = 0.027
FNM = 0.4×0.15×0.45 = 0.027
NFM = 0.15×0.4×0.45 = 0.027
NMF = 0.15×0.45×0.4 = 0.027
Then add all the probabilities we have 0.027×6 = 0.162
