There are 9 diagonals.
Please see the attached picture for all the vertices that are drawn. When you start drawing the diagonals, be cautious of the ones that you have already drawn.
Answer:
$2295, because FICA consists of Medicare and Social Security
APEX
Step-by-step explanation:
Answer:
Our answer is 0.8172
Step-by-step explanation:
P(doubles on a single roll of pair of dice) =(6/36) =1/6
therefore P(in 3 rolls of pair of dice at least one doubles)=1-P(none of roll shows a double)
=1-(1-1/6)3 =91/216
for 12 players this follows binomial distribution with parameter n=12 and p=91/216
probability that at least 4 of the players will get “doubles” at least once =P(X>=4)
=1-(P(X<=3)
=1-((₁₂ C0)×(91/216)⁰(125/216)¹²+(₁₂ C1)×(91/216)¹(125/216)¹¹+(₁₂ C2)×(91/216)²(125/216)¹⁰+(₁₂ C3)×(91/216)³(125/216)⁹)
=1-0.1828
=0.8172
Answer: 5040
Step-by-step explanation:
Given : Number of choices to make a four digit code ( 0 to 9)= 10
If repetition is not allowed , then we use Permutations to find the number of different code groups can be designed.
The number of permutations of n things , taking r at a time is given by :-

Then, the number of permutations of 10 numbers , taking 4 at a time is given by :-

Hence, the number of different code groups can be designed= 5040
Answer:
m∠YXS = 90°
Step-by-step explanation:
In the figure attached, the complete question is shown.
The reflection of a figure over a given line makes that, for example, segments SS' and YW perpendicular. In consequence, the measure of angles YXS and YXS' is 90°