Answer:
m > 1
Step-by-step explanation:
Minus 6 from both side
m = 1
Yes, it would be correct because a triangle has to add up to 180 degrees when all the angles are added up
A) Explanation:
95 + 10 + 75 = 180
B) A triangle will always add up to 180.
Answer:
The true statement about the given conditional Probability is; The probability that event A occurs, given that event B occurs, is 83%.
Answer: Probability that the entire batch will be accepted is 0.658.
Yes, this suggests entire batch of good CDs as it is the only condition to get accepted.
Step-by-step explanation:
Since we have given that
Number of CDs = 507
Number of defective = 65
Since the entire batch will be accepted.
So, the probability of success is p = 
and the probability of failure is q = 
Number of CDs selected = 3
So, Probability that the entire batch will be accepted is given by
Hence, Probability that the entire batch will be accepted is 0.658.
Yes, this suggests entire batch of good CDs as it is the only condition to get accepted.
Answer:
9 cm
Step-by-step explanation:
Since the container is a cylinder of base diameter d₁ = 12 cm and thus radius r = 12/2 = 6 cm. The water height is 8 cm. The initial volume of water is thus V₁ = πr²h = π × 6² × 8 = 288π cm³.
The sphere of diameter d = 6 cm has radius r₁ = 6/2 = 3 cm. Its volume V₂ = 4πr³/3 = 4π × 3³/3 = 36π cm³
Since the sphere displaces it own volume of liquid, the new volume V = V₁ + V₂ = 288π cm³ + 36π cm³ = 324π cm³
This is the new volume of water in the cylinder. Since the water level rises by h' cm and V = πr²h'
h' = V/πr²
= 324π cm³/π(6)²
= 324π cm³/36π cm²
= 9 cm
So, the water level is 9 cm above the base
