Answer:
Step-by-step explanation:
Triangle FEG is a right angle triangle.
From the given right angle triangle
GE represents the hypotenuse of the right angle triangle.
With ∠E as the reference angle,
EF represents the adjacent side of the right angle triangle.
GF represents the opposite side of the right angle triangle.
To determine FG, we would apply Pythagoras theorem. It is expressed as
Hypotenuse² = opposite side ² + adjacent side²
Therefore,
13² = 5² + FG² = 25 + 169
169 = 25 + FG²
FG² = 169 - 25 = 144
FG = √144 = 12
To determine tan E, we would apply trigonometric ratio
Tan θ = opposite side/adjacent side. Therefore,
Tan E = 12/5
Tan E = 2.4
Answer:
493.15
Step-by-step explanation:
The annual FICA (Federal Insurance Contributions Act) tax is composed of two parts: Social Security and Medicare Taxes. On the employee's side, he/she has to shoulder 6.2% of the annual salary for the Social Security Tax, and 1.45% of the annual salary for the Medicare Tax. So in total, FICA takes 7.65% of your annual salary as tax. To calculate the FICA tax to be paid, this is shown below:
$38,480 x 7.65% = $2943.72
Therefore, for an annual salary of $38,480, $2943.72 goes into FICA tax payment.
Answer:
well you would need to look at how much he gets a weekend, and then worry anout the tips.
Step-by-step explanation:
He gets paid $80 each weekend, and a 15% with tips.
you would need to figure out the tips, by taking the $725 and timesing it by .15 for the percent.
which would be 108.75
you would now take 108.75 and add 80 to get what he made that weekend.
108.75+80 = 188.75 dollars
Answer:
The probability is 0.0052
Step-by-step explanation:
Let's call A the event that the four cards are aces, B the event that at least three are aces. So, the probability P(A/B) that all four are aces given that at least three are aces is calculated as:
P(A/B) = P(A∩B)/P(B)
The probability P(B) that at least three are aces is the sum of the following probabilities:
- The four card are aces: This is one hand from the 270,725 differents sets of four cards, so the probability is 1/270,725
- There are exactly 3 aces: we need to calculated how many hands have exactly 3 aces, so we are going to calculate de number of combinations or ways in which we can select k elements from a group of n elements. This can be calculated as:
So, the number of ways to select exactly 3 aces is:
Because we are going to select 3 aces from the 4 in the poker deck and we are going to select 1 card from the 48 that aren't aces. So the probability in this case is 192/270,725
Then, the probability P(B) that at least three are aces is:
On the other hand the probability P(A∩B) that the four cards are aces and at least three are aces is equal to the probability that the four card are aces, so:
P(A∩B) = 1/270,725
Finally, the probability P(A/B) that all four are aces given that at least three are aces is:
