Answer:
-36
Step-by-step explanation:
-(36/-6) to the power of 2 is -36.
Given:
The number of male professors = 15.
The number of female professors = 9.
The number of male teaching assistants = 6.
The number of female teaching assistants = 12.
A person is selected randomly from the group.
Required:
We need to find the probability that the selected person is a professor or a male.
Explanation:
The total number of people in the group = 15+9+6+12 = 42
n(S) =The total number of people in the group

Let A be the event that the selected person is a professor or a male.
The number of people who are professors or male = 15+9+6 = 30
n(A)= The number of people who are professors or male.

Let P(A) be the probability that the selected person is a professor or a male.



Final answer:
The probability that the selected person is a professor or a male is 5/7.
Answer:
B. Rotate 180° clockwise around (8, 4) and reflect across the line x=8.
Step-by-step explanation:
The figure is symmetrical (order 2) about the point (8, 4), and about the lines x=8 and y=4.
Hence, rotation 180° about the point (8, 4) makes the figure look unchanged. Since the figure is also symmetrical about the line x=8, reflecting it across that line will also leave the figure unchanged.
__
Any of the other transformations have the effect of translating the figure somewhere else.
Answer:
70
Step-by-step explanation:
-7 × -5 = 35
35 × 2 = 70
On the graph we have points x:y of
3:5
6:10
12:20
which are all in the ratio 3:5, a slope of 5/3.
3:5=9:y
y=9×5/3 = 15
Answer: C (9,15)