To multiply fractions you multiply the numerator and that becomes the answer to the numerator
And then you do the same for the denominator
Then simplify if you can
Example:
2/5 * 3/6 = 6/30 = 1/5
Answer:
a. 205320
b. 34220
c. 60! / (35)! (25)! + 60!/ (40)!(20)! + 60!/ (45)! (15)!
Step-by-step explanation:
a) The number of ways to dustribute exams among the TA's is:
n / (n - r)!
n= number of things to choose from
r= Choosing r number
60P3= 60! / (60 - 3)!
(60)(59)(58)(57)! / (57)!
=205320
B) The number of ways to dustribute the exams among the TA's is:
n! /(n - r)! r!
60C3= 60! /(60 - 3)! 3!
= 60!/ 57! 3!
= 60 × 59 × 58 / 3 × 2 × 1
= 34220
C) The required number of ways is:
60C25 + 60C20 + 60C15
= 60! / (35)! (25)! + 60!/ (40)!(20)! + 60!/ (45)! (15)!
Answer:
∠x = 60°
Step-by-step explanation:
first:
∠a = 60° was given
the sides on each side of ∠a are equal so their opposite angles are equal also.
The sum of the interior angles of any triangle is 180°
The angles opposite ∠a are (180° - 60°)/2 = 60° each
Second:
∠b = 60° was given
so the angles opposite ∠b are also 60° each
Third:
the 2 angles opposite x are both 60° each because they are both vertical angles to 60°
That leaves ∠x to be 180° - 60° - 60° = 60°
Answer:
1.15 or
Step-by-step explanation:
1. The slope can be found with this formula:
2. Let's plug in the numbers:
4. ≈ 1.1538