1st question: intersection is the numbers included in both sets
neither set shares any numbers so answer would be null set
2nd question: 2 numbers are in all 3 sets: (-2,9)
Answer: The length and width are 20 square centimeters and 8 square centimeters
Explain: 20:8 can be reduced to 5:2 as a ratio. 20 times 8 equals 160.
The length of the line is B
Answer:
-21 F
Step-by-step explanation:
it already was -14
then dropped 7
so it becomes
-14 - 7 = -12 f
Given:
6 male professores
9 female professores
5 male teaching assistants
6 female teaching assistants
Sol:.
![N(A\text{ or B)=N(A)+N(B)-N(A and B)}](https://tex.z-dn.net/?f=N%28A%5Ctext%7B%20or%20B%29%3DN%28A%29%2BN%28B%29-N%28A%20and%20B%29%7D)
N (professors)
![\begin{gathered} =6+9 \\ =15 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D6%2B9%20%5C%5C%20%3D15%20%5Cend%7Bgathered%7D)
N(Male)
![\begin{gathered} =6+5 \\ =11 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D6%2B5%20%5C%5C%20%3D11%20%5Cend%7Bgathered%7D)
N(professors and male)
![=6](https://tex.z-dn.net/?f=%3D6)
N(professors OR male) = N(professors) + N(males) -N(professor OR male)
![\begin{gathered} N(\text{ Professors OR male)=15+11-6} \\ =20 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20N%28%5Ctext%7B%20Professors%20OR%20male%29%3D15%2B11-6%7D%20%5C%5C%20%3D20%20%5Cend%7Bgathered%7D)
N(People to choose from)
![\begin{gathered} =6+9+5+6 \\ =26 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D6%2B9%2B5%2B6%20%5C%5C%20%3D26%20%5Cend%7Bgathered%7D)
Then probablitiy is:
![\begin{gathered} =\frac{20}{26} \\ =\frac{10}{13} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D%5Cfrac%7B20%7D%7B26%7D%20%5C%5C%20%3D%5Cfrac%7B10%7D%7B13%7D%20%5Cend%7Bgathered%7D)
Then the probability is 10/13