Explanation

Explanation

Explanation

Let the number of girls and boys each be x, x=2(x-8) boys=x girls=x-8 =>x=2x-16 =>x=16 =>number of girls and boys together=16+16=32

Explanation

152×153=23,256

Explanation

The first 50 odd numbers are: 1, 3, 5, ..., 99

The average of these numbers can be calculated using the formula: (first number + last number) / 2

In this case, the average is: (1 + 99) / 2 = 50

So, the average of the first 50 odd numbers is 50.

Explanation

X + 7 = 77

Subtract 7 from both sides:

X = 77 - 7

X = 70

Now that we know X, we can find the product of 7 and X:

7 × X = 7 × 70

= 490

Explanation

• To determine if a number is divisible by 3, you can check if the sum of its digits is divisible by 3.
• Let's check each number:
• For 568: 5 + 6 + 8 = 19. Not divisible by 3.
• For 887: 8 + 8 + 7 = 23. Not divisible by 3.
• For 588: 5 + 8 + 8 = 21. Divisible by 3.
• For 472: 4 + 7 + 2 = 13. Not divisible by 3.
• So, the number 588 is divisible by 3.

Explanation

U={1,2,3,4,5}

A={2,4,5}

A ′=U−A

A ′={1,2,3,4,5}−{2,4,5}

A ′ ={1,3}

ND20-2-2023

Explanation

P(M)=pass in maths P(E)=pass in English P(E and M)= passing in both English and Maths Given P(E)=60%=0.6 P(E and M)=54%=0.54 M and E both events are independent then: P(E and M)=P(E)*P(M) P(M)=P(E and M)/P(E) P(M)=0.54/0.60=0.9 P(M!)= fail in maths P(M!)=1-p(M):(complement) P(M!)=1-0.9=0.1 P(M!)=10%

Explanation

Let the numbers be x, x + 2, x + 4, x + 6, x + 8 and x + 10.

Given (x + 2) + (x + 10) = 24
=> 2x + 12 = 24 => x = 6
The fourth number = x + 6 = 6 + 6 = 12.