Se desarrolla una prueba para detectar cierto tipo de artritis en individuos mayores de 50 años. Un estudio a nivel nacional revela que aproximadamente 10% de los individuos en este grupo de edad sufren esta forma de artritis. Cuando la prueba propuesta se aplicó a individuos con un diagnóstico confirmado de artritis, se obtuvo un resultado positivo en el 88.4% de los casos, mientras que al administrar la prueba a personas que no tenían la enfermedad, 5.5% arrojaron resultados positivos (esta es la tasa de falsos positivos). Se selecciona un individuo aleatoriamente de la población y se le administra la prueba. a. ¿Cuál es la probabilidad de que tenga artritis y la prueba sea positiva? b. ¿Cuál es la probabilidad de obtener un resultado positivo en la prueba? c. Si se sabe que la prueba arrojó un resultado positivo, ¿cuál es la probabilidad de que la persona realmente sufra de artritis? d. ¿cuál es valor predictivo negativo?

idk

step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc