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.
1) 7(x-2)=x+16. 1) Given
2) 7x-14=x+6 2) Distributive Property of Equality
3) 7x-14+14=x+16+14. 3) Addition P.O.E
4) 7x=x+30. 4) Simplify
5) 7x-x=x+30-x. 5) Subtraction P.O.E
6) 6x=30. 6) subtraction P.O.E
7) 6x/6=30/6. 7) Division P.O.E
8) x=5. 8) Simplify
Answer:
1094.4
Step-by-step explanation:
assuming you want volume
Solution
Distance in km = 2.8 km
Distance in m = 2.8 x 1000m
Distance in m = 2,800m
Answer:
Solteros= 27
Step-by-step explanation:
<u>Entiendo que de los 120 tripulantes, sobrevivió el 30%. Y de los sobrevivientes, 25% son casados.</u>
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Primero, debemos calcular la cantidad de sobrevivientes:
Sobrevivientes= 120*0.3= 36
Ahora la cantidad de casados, y por diferencia los solteros:
Casados= 36*0.25= 9
Solteros= 36 - 9
Solteros= 27
