Answer:
9409
Step-by-step explanation:
Let's rewrite 97 as 100 - 3.
Identity used :
<u><em>(a - b)² = a² - 2ab + b²</em></u>
Now, evaluating the expression :
⇒ (100 - 3)²
⇒ (100)² - 2(100)(3) + (3)²
⇒ 10000 - 600 + 9
⇒ 9400 + 9
⇒ 9409
Answer:
1. 21
2.5/6
3. 20/3
Step-by-step explanation:
The equation to find P(A and B) is P(A and B)= P(A) x P(B/A). P(B/A) stands for probability of B given A. First we need to find out the P(A). The P(A) is 8/13 because you have 13 marbles total and 8 white marbles. For P(B/A), it is 5/12. This is because there are 5 red marbles and given that A happened, there would only be 12 marbles left in the bag, leaving you with a 5/12 chance of getting a red marble. Now plug it in. 8/13 x 5/12 = 40/156, which simplifies down to 10/39. Thus, B is the answer.
A)6 b)4 c)2 d)0. You just have to replace X with given number.
Answer:
Option A
Step-by-step explanation:
Area of the composite figure = Area of ΔABH + Area of BCGH + Area of ΔDEF
Area of ΔABH = 
= 
= 9 in²
Area of the trapezoid = 
= 
= 25 in²
Area of ΔDEF = 
= 24 in²
Therefore, area of the given figure = 9 + 25 + 24
= 58 in²
Option A will be the correct option.