Answer:
Length = 49.5 unit and width = 49.5 unit
Step-by-step explanation:
Given as , Perimeter of rectangle = 198 unit
so ,as Perimeter of rectangle = 2× ( Length + width)
Or, 198 = 2 × (Length + width)
Or,
= length + width
So, length + width = 99 unit
Now to make area maximum
Length × width = maximum
Or, (99 - width ) × width = maximum
99 Width - width² = maximum Let width = W
Now differentiate both side with respect to W
D(99W - W²)
= 0 as, constant diff is 0
So, 99 - 2w = 0
Or, w = 
Or, w = 49.5 unit and L = 99- 4905 = 49.5 unit Answer
Answer and explanation:
The gambler's fallacy is the fallacy of belief that if an event such as a loss occurs more frequently in the past, it is less likely to happen in the future. We assume here that this belief is true, therefore
If she loses, her probability of winning increases =3/4
If she wins, her probability to win is normal =1/2
Given that probability of winning is 1/2
Probability of losing is 1-1/2=1/2
Probability that she wins the tournament is probability that she wins the first two games and loses the last or wins the first game, loses the second and wins the last or loses the first game and wins the last two games or probability that she wins all three games
=1/2*1/2*1/2+1/2*1/2*3/4+1/2*3/4*1/2+1/2*1/2*1/2
=25/48
Probability of winning the tournament if she loses the first game
=1/2*3/4*1/2= 3/16
Note: whenever there is "or" in probability, you add
Answer:
Dependent
Step-by-step explanation:
He cant choose a pencil that she already gave him.
Answer:
Polynomial is the general term, but some polynomials can be classified in a more specific way.
Step-by-step explanation:
This is exactly how Polynomials work: Polynomial is the general term, but some polynomials can be classified in a more specific way. A polynomial is any sum (or difference) of terms. A term is separated by a plus or minus sign (that's why the word sum is used). Some polynomials can be classified more specifically as monomials, binomials, or trinomials.

Let,
- Number of boys be 3x
- Number of girls be 2x
- Then, Total number of students = 3x + 2x = 5x
It is given that,
➙ Number of girls = 420
Then,
➙ 2x = 420
➙ x = 420/2 = 210
No. of boys = 3x = 630
Then,
➙ Number of students = 5x
➙ Number of students = 5(210)
➙ Number of students = 1050
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