guys please help me with this question and whoever will give me the answer I will mark them as brainliest but I don't want useless answers
Answers
Answer:
a) 1/2
b) 1/2
c) 2/5
Step-by-step explanation:
a) odd number: 10
total balls:20
probability: 10/20 = 1/2
b) divisible by 2: 10
total balls: 20
probability: 10/20 =1/2
c) prime number: 8
total balls:20
probability: 8/20 = 4/10 = 2/5
HOPE YOU MARK ME AS BRAINLIST ❤☺
Answer:
2.)=In this question,
(a)=(i)=P=1/
=(ii)=P=1/2
=(iii)=P=2/5
(b.)=Here, After factorisation, 2numbers upto 2decimal places are 3.73 and 0.73
(c)=In this question, (cosecA-sinA) (secA-cosA) sec^2A=tanA.
Step-by-step explanation:
2.)=(a.)=Here, As per our given question,
=(i)=Total numbers of balls in the box =20
And we have to find out probability for odd numbers,
So, Total Odd numbers between1-20=10
=(1,3,5,7,9,11,13,15,17,19)
So, Probability =10/20=1/2
(ii)=Now, we have to find out probability for numbers divisible by 2,
=Total numbers divisible by 2 between 1-20=10 =(2,4,6,8,10,12,14,16,18,20)
So, probabilty=10/20=/12
(iii)=Now, we have to find out probability for prime numbers,
=Total prime numbers between 1-20=8 =(2,3,5,7,11,13,17,19)
So, probability=8/20=2/5 (Answer).
(b.)=As given in this question,
=p(x)=x^2-4x+1=0
So, For soving the given equation for 2 decimal places, we have formula:=[-b±root(b^2-4ac)]/2a
Here, a=1,b=(-4),c=1
Now, [-(-4)±root(-4^2-4×1×1)/]/2×1
=[4±root(16-4)]/2
=[4±root(12)]/2
So Now,=[4±(2×1.73)]/2 (By doing square of root12, we get 2root3 and value of root3 is 1.732)
So,=(4+3.46)/2 , =(4-3.46)/2
=7.46/2 , =1.46/2
=3.73 , =0.73
So, Here the numbers upto 2 decimal places after factorisation are=(3.73) and (0.73).
(c)=As given in question,
=(cosecA-sinA) (secA-cosA) sec^2A=tanA
So, At first we would solve LHS,
=(1/sinA-sinA) (1/cosA-cosA) sec^2A=LHS (CosecA=1/sinA, SecA=1/cosA)
After taking Lcm and solving it, we get,
=[(1-sin^2A)/sinA] [(1-cos^2A)/cosA] sec^2A
=(cos^2A/sinA) (sin^2A/cosA) sec^2A (As cos^2A+sin^2A=1)
After multiplication and cancellation of divisibles, we get,
=cosA×sinA×1/cos^2A
=sinA/cosA (As cosA divides cos^2A)
=TanA (sinA/cosA=tanA)
Hence, Proved.
Thank you.