Answer:
the expression is: 
and 2730 different ways are possible.
Step-by-step explanation:
In the given question we have to choose a president, vice
president, and secretary.
Permutations are used when order is important so, as in the given question order is required. We would use permutations
The formula used is: 
where:
n=total number of objects
r=number of objects selected
In our case: n=15, r=3
Putting values and finding the answer:
So, the expression is:
and 2730 different ways are possible.
Answer:
∠ 3 = 55°
Step-by-step explanation:
∠ 2 and ∠ 7 are corresponding angles and are congruent, then
5x - 60 = 3x + 14 ( subtract 3x from both sides )
2x - 60 = 14 ( add 60 to both sides )
2x = 74 ( divide both sides by 2 )
x = 37
∠ 2 = 3x + 14 = 3(37) + 14 = 111 + 14 = 125°
∠ 2 and ∠ 3 are adjacent angles on a straight line and sum to 180° , so
125° + ∠ 3 = 180° ( subtract 125° from both sides )
∠ 3 = 55°
Answer:
£6,000
Step-by-step explanation:
<u>Use the simple interest formula:</u>
I = Prt
I = (Principal Value)*(Annual Interest Rate)*(Time in Years)
I = (120000)(0.12)(5/12)
I = 6000
Therefore, the simple interest is £6,000
The probability of drawing a face card is 12/52
the probability of drawing an even number is 20/52
face cards and even numbered cards do not overwrap, so no need to subtract anything
Add up: 12/52+20/52=32/52=0.6154
Hello There!
It would be $60
Hope This Helps You!
Good Luck :)
- Hannah ❤
