Usando un sistema de ecuaciones, se encuentra que Juan tiene 12 años e su madre tiene 39 años.
<h3>¿Qué es un sistema de ecuaciones?</h3>
Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.
En este problema, las variables son:
- Variable x: Edad de Juan.
- Variable y: Edad de su madre.
La edad de juan es un año menos que la tercera parte de la edad de la madre, por eso:

Dentro de 5 años, la edad de la madre sera 10 años mas que el doble de juan, por eso:


Como
:

3y + 15 = 2y + 54
y = 39

Juan tiene 12 años e su madre tiene 39 años.
Puede-se aprender más a cerca de sistema de ecuaciones en brainly.com/question/20178040
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The explanation is:
The definition of "secant of (x)" is: 1 / (sine of x) .
Answer:
519
Step-by-step explanation:
Let's assume that the scores for the national verbal proficiency test follow a normal distribution.
Mean score (μ) = 500
Standard deviation (σ) = 75
According to a Z-score table, the score for the 60th percentile is roughly z = 0.253
For any score "x", the z-score is given by:

For z = 2.53:

The raw score to the 60th percentile is 519.
Answer:
Up
Positive
Step-by-step explanation:
Answer:
"Members of a population are organized in clusters, each of which is representative of the population, and then whole clusters are randomly selected to make up the sample"
Step-by-step explanation:
In cluster random sampling, "the population is divided, usually geographically, into groups that generally have the same size. A certain number of groups are randomly chosen, and every individual in the chosen groups are chosen for the sample."
In accord with this logic, the second choice, "Members of a population are organized in clusters, each of which is representative of the population, and then whole clusters are randomly selected to make up the sample" seems to be correct.
NOTE: This may not be the correct answer. I am simply basing my answer on the definition I have learnt.