Answer:
Step-by-step explanation:
The y-intercept is where x is equal to 0, and the x-intercept is where y is equal to 0, so:
The equation is written in slope-intercept form:
m is the slope and b is the y-intercept, so the y-intercept is -18.
Now set the value of y to 0 to find the intercept of x:
Solve for x. Add 18 to both sides:
Divide both sides by 8:
The x -intercept is 
.
:Done
To determine the probability that both people chosen are females, we will use the rule of multiplication.
Let event A = the event that the first person chosen is female; and let B = the event that the second person is female.
To start, it is given that there are 10 students, 5 of them are females. Therefore, P(A) = 5/10
After the first selection, there are 9 students, 4 of them are females. Therefore, P(A|B) = 4/9
Based on the rule of multiplication:
P(A∩B) = P(A) * P(A|B)
P(A∩B) = (5/10) (4/9)
P(A∩B) = 20/90
P(A∩B) = 2/9
The probability that both people chosen are females is 2/9.
Answer:
Option 1
Step-by-step explanation:
![\sqrt[4]{ {a}^{6} {b}^{4} {c}^{8} } \\ = {a}^{6 \div 4} {b}^{4 \div 4} {c}^{8 \div 4} \\ which \: gives \: option \: 1](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%20%7Ba%7D%5E%7B6%7D%20%20%7Bb%7D%5E%7B4%7D%20%20%7Bc%7D%5E%7B8%7D%20%20%7D%20%5C%5C%20%20%20%3D%20%7Ba%7D%5E%7B6%20%20%5Cdiv%204%7D%20%20%7Bb%7D%5E%7B4%20%5Cdiv%204%7D%20%20%7Bc%7D%5E%7B8%20%5Cdiv%204%7D%20%5C%5C%20which%20%5C%3A%20gives%20%5C%3A%20option%20%5C%3A%201)
2. W<5
4. D<6 (or equal to)
