Her statement is true because multiplication is repeating addition
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
Answer:
24
Step-by-step explanation:
angle = 38
opposite of angle = 15
hypotenuse = c
sohcahtoa
sin utilizes both opposite and hypotenuse
thus,
sin(38) = 15/c
multiply both sides by c to make it a numerator
csin(38) = 15
divide both sides by sin(38) to get c
c = 15/sin(38) ≈ 24
(300 students) because each classroom has 25 students then you times that by 12 and you get 300.
The answer is letter c. x2-8x+24-[72/(x+3)]. If you do not know how to solve this using the long division method, you can always evaluate the options through the process of elimination first. Since the degree of the other factor is already 1 (x to the power of 1), you know that option d. is not the correct answer because you know that the other factor must be raised to the power of 2. That leaves us with a, b and c. Working backwards and multiplying the given factor (x+3) with the factor in b, gives us x3-5x2+72. So from there, you know that you have to eliminate 72, which can be removed when it is subtracted by itself. Letter c does just that. Try multiplying (x+3) and option c for yourself :).