Answer:
1/24 chance
Step-by-step explanation:
To begin you would need to find the probability of picking a green sock which would be 3/9; and you could simplify this to 1/3.
After that you need to find the probability of picking a purple sock out of the 8 left, which would provide you with 1/8. To find the probability of both you would multiply 1/8 by 1/3 to find the combined probability which would leave you with 1/24.
Answer:
Point Y (4, -1) lies on the circle.
Step-by-step explanation:
Distance = √[(x2-x1)² + (y2 - y1)²] = √[(4-1)² + (-1-(-5))²] = √[3² + 4²]= √25 = 5
Point Y (4, -1) lies on the circle, because the distance from the center to this point equals radius of the circle.
The answer is 155 because 124/4 is 31 so the average rate of change is 31 so multiply by 5 and it gives you 155
Answer:
Third side = 8.34 cm
Step-by-step explanation:
Given that,
The perimeter of a triangle, P = 22 cm
One side of a triangle, b = 9 cm
The area of the triangle, A = 20.976 cm²
The formula for the area of a triangle is given by :

Perimeter = Sum of all sides
9 cm + 4.66 cm + x = 22
x = 22 - 13.66
x = 8.34 cm
So, the third side of the triangle is 8.34 cm.