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i - 0.3i

0.7i

Second option is correct

find. the.value.0.13+0.12,

In the given figure,<ABC = 64°<BAC = 50°x = 2× <BACx = 2×50x = 100°

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In logic and probability theory, two events are mutually exclusive or disjoint if they cannot both occur at the same time. A clear example is the set of outcomes of a single coin toss, which can result in either heads or tails, but not both.

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Ans :-

Mutually Exclusive Events:Two events, A and B, are said to be mutually exclusive if the occurrence of A prohibits the occurrence of B (and vice versa)

For instance, if you cast a die, the occurrence of '1' prohibits the occurrence of '2'. Hence, A = {'1' occurs} and B = {'2' occurs} are mutually exclusive.

Exhaustive Events:Two events, A and B, are said to be exhaustive ifat least one of themwill definitely occur.

For instance, if you cast a die, at least one of the following events will occur:

A={a number smaller than '5' shows up}

B={a number larger than '2' shows up}

Note: These definitions can easily be extended to include more than 2 events. 10 given events will be mutually exclusive if the occurrence ofanyof them prohibits the occurrence of the remaining 9. The same 10 events will be exhaustive if at least one of these 10 events always occurs.

Combining the above definitions, the system of mutually exclusive and exhaustive events basically partitions the set of all possible events into subsets, such thatexactly 1of these subsets will always occur.

Let, A(x1,y1)=(-2,-2)B(x2,y2)=(2,-4)

DISTANCE BETWEEN A AND B ISAB=[(x2-x1)^2+(y2-)^2]^1/2AB=[(-2-2)^2+(-4+2)^2]^1/2AB=[(-4)^2+(-2)^2]^1/2AB=[16+4]^1/2AB=20^1/2

I know it's answer. I havewritten it on the page. But don't know how to upload it's photo.

A and B are mutually exclusive events.

∴P(A∩B)=ϕ=0

Step 2:

P(A∪B)=P(A)+P(B)−P(A∩B)⇒0.5+0.3

⇒0.8

P(A∪B)′=1−P(A∪B)

⇒1−0.8

⇒0.2

thanks

Let us find LCM of 4, 9 and 104 = 2 x 29 = 3 x 310 = 5 x 2So, LCM = 22x 32x 5 = 180Now the LCM gives us a clue that if 180 is multiplied by 5 then it will become a perfect square.The Required number = 180 x 5 = 900

according to Pythagorean Theorem

AC= √(6²+8²)AC= √(36+64)AC= √100AC= 10cm

Given 3 women or 5 girls cqn complete

a piece of work in 17 days.

3women = 5 girls

1 women = 5/3 girls -------( 1 )

convert both in either of women or girls.

7 women + 11 girls

= 7 × (5/3)girls + 11 girls [ equation ( 1 ) ]

= ( 35 + 33 ) / 3 = 68/3 girls can complete the

work in .......

If 5 girls finish the work in 17 days

68/3 girls finish the same work in

( 68 / 3 ) × 17 /5

= 1156 /15 days.

15*12180 will be the answer

see answer

see answer

the answer is 343 but you got 243 I know the answer but I want solution

bayya can you explain more than Better because I am poor in maths

Sorry your answer is correct. There is addition mistake in last step.

You have to just substitute the values and perform addition.

yes

thanks bayya

Let A=4i+5j+k; B=-j-k; C=3i+9j+4k and D=-4i+4j+4k

Thanks

TOTAL MARKS =2500GAINE MARKS = 228PARSENTEGE= 228/25 = 9.12%

9.12% is right answer........

1) 2500×105.5/1002) 85×2850/100

To find the sum of even numbers between 1 and 100, we can use the concept sum of n numbers in A.P.(arithmetic progression)

Here we need sum of 2,4,6,……..,98(between 1 and 100)

Now here First term = 2 difference= 2, n = 50

So now sum of these terms = n/2(2a+(n-1)d)

= 49/2(2*2+(50–1)2)

= 49/2(4+(49)*2)

= 49/2(4+98)

= 49/2(102)

= 49*51

=2550

3600 is the right answer

360 is the right answer....it is divisible by 8,9,10 and smallest square no.

360 is a number smallest squar

3600 is the right answer because it's square number and also divisible 8,9and 10

360 is the best answer

3600 is the right answer as it is divisible by 8,9,10and it is square of 60.

3600 is the right answer

3600 is the best answer because its square number and also division le 8,9,and 10

32 x 27=(30+2)(30-3)using identity (x+a)(x-b)=x²+(a-b)x-ab32 x 27=(30+2)(30-3)=30²+(2-3)30-2x3=900-30-6=864

As numbers which have factors only 2 and 5 are the multiples of 10 like 10,20,...50Hence hereina=10d=20-10=10al=500 that is the last termHencean=500hence500=a+(n-1)d500=10+(n-1)*10490=(n-1)*10n-1=49n=50Hencesum=n/2(a+l)=50/2(10+500)=25*510=12750

(28+4)-(10×5)+(4÷2) = 32-50+2 = 34-50 = -16

thanks

Number of observations = 10Median = (5th observation + 6th observation)/2 65 = (x + x + 2)/2 65 = (2x + 2)/2 65 = x + 1 x = 65 - 1 x = 64

upon calculating the determinant, we get

∆ =x(x²+a²)-c(-cx-ab)-b(ac-bx) = 0∆ = x³+ x(a²+b²+c²) + 2abc = 0

since it is a cubic polynomial , so 3 roots are possible .

the question is how many real roots?

let X be the common multiple1x2x3x1x+2x+3x=3hence6x=3X=0.5litreshence1x=0.5l2x=1l3x=1.5l

We know that,__________________

( a + b )² = a² + 2ab + b²___________________

According to the problem given,

4x² + y² = 40-------( 1 )

xy = 6----------------( 2 )

Do the square of ( 2x + y ),

( 2x + y )² = ( 2x )² + 2 × 2x×y + y²

= 4x² + 4xy + y²

= 4x² + y² + 4xy

= 40 + 4 × 6

[ from ( 1 ) and ( 2 ) ]

( 2x + y )² = 40 + 24

= 64

Therefore ,

2x + y = ±√64

= ± 8

x/y=1/1

therefore, x=y

tan theta=x/y

1=x/y

since tan 45=1

therefore, the angle of elevation is 45 deg.

2cm = 50km1cm= 25kmhence 7.5 cm means => 7.5 x 25 km => 187.5km

please can you give the statement