Given:
6 male professores
9 female professores
5 male teaching assistants
6 female teaching assistants
Sol:.
N (professors)
N(Male)
N(professors and male)
N(professors OR male) = N(professors) + N(males) -N(professor OR male)
N(People to choose from)
Then probablitiy is:
Then the probability is 10/13
hey there
the answer is
14x + 6 = 5x + -3
6 + 14x = 5x + -5
6 + 14x = -3 + 5x
6 + 14x + -5x = -3 + 5x + -5x
Combine like terms: 14x + -5x = 9x
6 + 9x = -3 + 5x + -5x
Combine like terms: 5x + -5x = 0
6 + 9x = -3 + 0
6 + 9x = -3
6 + -6 + 9x = -3 + -6
Combine like terms: 6 + -6 = 0
0 + 9x = -3 + -6
9x = -3 + -6
Combine like terms: -3 + -6 = -9
9x = -9
Divide each side by '9'.
x = -1
Simplifying
x = -1
thank you
OFFICIALLYSAVAGE2003
The set {(1, 2), (2, -3), (3, 4), (4, -5)} represents y as a function of x
Question 2:
The best statement describes the relation is "The relation represents y as a function of x, because each value of x is associated with a single value of y" ⇒ 3rd answer
Question 4:
There are missing options so we can not find the correct answer
Question 5:
The sets {(1 , 1), (2 , 2), (2 , 3)} and {(1, 2), (1, 3), (1, 1)} do not represent y as a function of x ⇒ 1st and 4th answers
Step-by-step explanation:
The relation is a function if each value of x has ONLY one value of y
Ex: The set {(3 , 5) , (-2 , 1) , (4 , 3)} represents y as a function of x because x = 3 has only y = 5, x = -2 has only y = 1, x = 4 has only y = 3
The set {(4 , 5) , (-2 , 1) , (4 , 3)} does not represent y as a function of x because x = 4 has two values of y 5 and 3
I believe its the second one because it say four times the number wich the number is the y and it is = too the number wich is y and increased going up are adding by 9. hope that helped.
<u>Given</u>:
Given that AB is a tangent to circle C.
The length of AB is (2r -1)
The length of AC is (r + 1) + r
The length of BC is r.
We need to determine the circumference of the circle C.
<u>Value of r:</u>
The value of r can be determined using the Pythagorean theorem.
Thus, we have;
Substituting the values, we have;
![[(r+1)+r]^2=(2r-1)^2+r^2](https://tex.z-dn.net/?f=%5B%28r%2B1%29%2Br%5D%5E2%3D%282r-1%29%5E2%2Br%5E2)
Simplifying, we have;
Expanding the terms, we get;
Simplifying the values, we have;
Adding both sides of the equation by 4r, we get;
Thus, 
Since, the radius of the circle cannot be 0.
Hence, the radius of the circle is 8.
<u>Circumference of the circle:</u>
The circumference of the circle can be determined using the formula,
Substituting r = 8, we get;
Thus, the circumference of the circle is 16π
Hence, Option A is the correct answer.
