➻ In a group of 40 people, 27 can speak English and 25 can speak Spanish.
➻ The required number of people who can speak both English and Spanish .
<u>Consider</u> ,
➻ A → Set of people who speak English.
➻ B → Set of people who speak Spanish
➻ A∩B → Set of people who can speak both English and Spanish
➻ n(A∪B) = n(A) + n (B) - n(A∩B)
➻ 40 = 27 + 25 - n (A∩B)
➻ 40 = 52 - n (A∩B)
➻ n (A∩B) = 52 - 40
➻ ∴ n (A∩B) = 12
∴ Required Number of persons who can speak both English and Spanish are <u>12 .</u>
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➻ n(A∪B) = n(A) + n (B) - n(A∩B)
➻ 40 = 27 + 25 - 12
➻ 40 = 52 - 12
➻ 40 = 40
➻ ∴ L.H.S = R.H.S
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Answer:
if i am correct the answer is A
Step-by-step explanation:
The probability that two of the coins will be tails is 1/2
It is 1/2 because "at least two tails" means that two tails and the rest of the number of tails, which is 3. In total the three coins have 6 sides. The chance of having two tails and one is three out of 6, simplified is 1/2 ;)
Answer:
Step-by-step explanation:
Answer:
The volume of the cone is 42.6 m^3
Step-by-step explanation:
The volume of a cone is given by the area of the base multiplied by the height of the cone and divided by three. The base is a circle, so it's area is computed by the following:
Abase = pi(r^2) = 3.14(2.2^2) = 15.2 m^2
We can then compute the volume of the cone that is:
Vcone = Abase*h/3 = 15.2*8.4/3 = 42.56 m^3
The volume of the cone is 42.6 m^3
