Solve this: Q 1 In the given figure, △ABC~∆ADE if AE=2 cm, EC=3cm and DE = - Maths - Circles

Question

Solve this:

Q 1 In the given figure, △ A B C ~ ∆ A D E   if
AE=2 cm, EC=3cm and DE = 1 6 cm, then find BC

[Ans BC=4 ( Using Thales' theorem)]

Q 2 Mean of four observations is 12 If first, second, third and
fourth observations are decreased by 1,2,3 and 4 respectively, then
find the new means [Ans New Mean =9 5]

Q 3 A letter is chosen at random from the letter of the word
"PROBABILITY" Find the probability that is is not a vowel [Ans
7/11]

Sanjari Kalantri · Accepted Answer

Dear Student,

2
 Mean = Sum of all observationsNumber of observations⇒ 12 = Sum of the four observations4 ⇒ Sum of the four observations = 48When the first, second, third and fourth are decreased by 1, 2, 3 and 4 respectively, the total sum of the four observations decreases by 10
Thus, sum of the four observations = 48 - 10 = 38Therefore, new mean = 384 = 9
53
 There are 11 letters in the word, "PROBABILITY", out of which 4 are vowels and 7 are consonants
A letter is either a vowel or a consonant
Therefore, probability that the letter chosen from the word "PROBABILITY" is not vowel = probability that the letter is a consonant = Number of favourable lettersTotal numbers of letters = 711

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