Answer:
The order of operations
Step-by-step explanation:
you should do what is possible within parentheses first, then exponents, then multiplication and division (from left to right), and then addition and subtraction (from left to right). (Assuming your talking about algebra)
Minor Arc AC = 110 degrees (given)
As indicated in the hints,
OA=OC => OAC=OCA=(180-110)/2 = 35
Similarly,
OAB=OBA=(48-35)=13
=>
OBC=OCB=(180-35-35-13-13)/2=(180-96)/2=84/2=42
=>
Angle B = 13+42 = 55 degrees
Check:
55+55+35+35+13+13 = 180 degrees (angles of a triangle) ok.
Answer:
dont understand clearly
Step-by-step explanation:
dont understand clearly
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:
, 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)