Answer:
He wont foul out with probability 0.9093
Step-by-step explanation:
The total number of fools he picked is a Binomial ditribution noted by X with parameters p = 0.05 and N = 48. The mean of this random variable is μ = np = 48*0.05 = 2.4 and the variance is σ² = np(1-p) = 2.4*0.95 = 2.28, hence its standard deviation is σ = √2.28 = 1.51.
Note that, if approximate probability is asked, we could just approximate X with a Normal random variable with mean 2.4 and standard deviation 1.51 (this can be done because of the central limit theorem). We will calculate the probability manually. He wont foul out if he picks 0,1,2,3 or 4 fouls, thus
As a consecuence, he wont foul out with probability 0.9093.
Answer:
Step-by-step explanation:
6.15/5=1.23
The answer is B.
Answer:
85
Step-by-step explanation:
To solve this, create an equation that follows 45% of a value is 18. This would look like x*.45=18. Now, solve for x, x*.45=18, divide by .45, x=18/.45=40, making your value 40. To check, plug in your value to the equation 40*.45=18 and see if it stays true.
Answer:
Step-by-step explanation:
Alright, lets get started.
The part of the diagonals are given as 0.9 m and 1.2 m.
The diagonals of rhombus intersect each other.
Hence the length of diagonals will be : 
and 
The formula of area of rhombus is : 
where p and q are the length of diagonals.
So plugging the values of diagonals in formula, the area will be :
Area = 
Area = 
Area = 
................. Answer
Hope it will help :)
