Answer:
Se necesitan 37.5 litros del preparado que contiene 5% de jugo natural, y 12.5 litros del que contiene 25%.
Step-by-step explanation:
Primero calculamos la cantidad total de jugo natural que se necesita, a partir del volumen de jugo mixto que se quiere vender:
Ahora, que X sean los litros del preparado con jugo de 5%, y que Y sean los litros del preparado con jugo de 25%:
La suma de ambos preparados tiene que ser 50 L:
1. x + y = 50
La suma del jugo natural tiene que ser 5:
2. x*5/100 + y*25/100 = 5
Por lo que tenemos <em>un sistema de dos ecuaciones y dos incognitas</em>.
Expresamos x en términos de y:
Reemplazamos x en la segunda ecuación:
- (50-y)*5/100 + y*25/100 = 5
Y despejamos <em>y</em>:
Usando ese valor de y, calculamos x:
At first they bought 40 uniforms for $3,000. When divided, the result came out as 75$ per each uniform. If they only received 40$ back then, 70-40=30. So the difference was 30$ per uniform.
Since 90 is the mean, the z-score of the mean is always 0.
Answer:
( x + 36 ) ( x - 2 ) = 0
Step-by-step explanation:
x^2 + 36x - 2x -72 = 0
x ( x + 36 ) - 2 ( x + 36 ) = 0
( x + 36 ) ( x - 2 ) = 0
Given the dataset
We start by computing the average:
We compute the difference bewteen each element and the average:
We square those differences:
And take the average of those squared differences: we sum them
And we divide by the number of elements:
Finally, we take the square root of this quantity and we have the standard deviation:
