Answer:
Your answer is Taylor
Step-by-step explanation:
Area of the quarter sector
Area of the entire circle = pi * r^2
Area of the quarter circle = pi r^2 / 4
r = 9
Area of the quarter circle = pi 9^2 / 4
Area of the quarter circle = pi 81/4 = 20.25 pi
Area of the triangle
Area pf the triangle = 1/2 b*h
b = h = r
r = 9
Area of the triangle = 1/2 9 * 9
Area of teh triangle = 1/2 81
Area of the triangle = 40.5
Area of the shaded area
The shaded area = Area of the 1/4 circle - area of the triangle
The shaded area = (20.24 pi - 40.5)ft^2
A <<<<<< Answer.
Answer:
Graph the first equation.
Graph the second equation on the same rectangular coordinate system.
Determine whether the lines intersect, are parallel, or are the same line.
Identify the solution to the system. If the lines intersect, identify the point of intersection. ...
Check the solution in both equations.
Step-by-step explanation:
Answer: The probability that she gets a ride 3 times in a 5-day work week is <u>0.31</u>.
The probability that she gets a ride at least 2 times in a 5-day workweek is <u>0.97</u>.
Step-by-step explanation:
By binomial distribution formula:
![P[X=r]=^nC_rp^rq^{n-r}](https://tex.z-dn.net/?f=P%5BX%3Dr%5D%3D%5EnC_rp%5Erq%5E%7Bn-r%7D)
, where n is the number of trials , r is the number of success, p is the probability of success and q is the probability of failure.
Given : n=5
p = 0.7
q= 1-0.7=0.3
Now, the probability that she gets a ride 3 times in a 5-day work week :
![P[X=3]=^5C_3(0.7)^3(0.3)^{5-3}\\\\=10(0.7)^3(0.3)^2=0.3087\approx0.31](https://tex.z-dn.net/?f=P%5BX%3D3%5D%3D%5E5C_3%280.7%29%5E3%280.3%29%5E%7B5-3%7D%5C%5C%5C%5C%3D10%280.7%29%5E3%280.3%29%5E2%3D0.3087%5Capprox0.31)
The probability that she gets a ride at least 2 times in a 5-day workweek :
![P[X\geq2]=1-P[X](https://tex.z-dn.net/?f=P%5BX%5Cgeq2%5D%3D1-P%5BX%3C2%5D%5C%5C%5C%5C%3D1-%28P%5BX%3D1%5D%2BP%5BX%3D0%5D%29%5C%5C%5C%5C%3D1-%28%5E5C_0%280.7%29%5E0%280.3%29%5E%7B5%7D%2B%5E5C_1%280.7%29%5E1%280.3%29%5E%7B5-1%7D%29%5C%5C%5C%5C%3D1-%5B%280.3%29%5E5%2B5%280.7%29%280.3%29%5E4%5D%5C%5C%5C%5C%3D1-0.03078%3D0.96922%5Capprox0.97)
