-/25 24/7 5.03 57%
Step-by-step explanation:
-/25 = -5
57% = 57%
5.03 = 5.03
24/7 = 3.428571429
so ans is -/25 24/7 5.03 57%
Answer:
length = 20/9 yards
breadth = 17/5 yards
area = length x breadth
= 20/9 x 17/5 = 7 5/9 sq. yards
Answer: 0.1340
Step-by-step explanation:
The binomial distribution formula is given by :-
, where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.
Given : The number of employees over 50 years of age =7
The probability of employees over 50 years of age = 
Number of dismissed employees : n= 9
Now, the required probability will be :
Thus, the probability that exactly 1 employee was over 50 = 0.1340
Answer:
6.51 cm
Step-by-step explanation:
Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.
Since V = V',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
taking cube-root of both sides, we have
r = ∛(3R²h/4)
Substituting the values of the variables into the equation, we have
r = ∛(3(7 cm)² × 7.5 cm/4)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places
