En la siguiente tabla se presenta un resumen de los datos correspondientes al diámetro de una pieza: Diametro (mm) 4 - 6 6- 8 8- 10 10-12 12-14
Cantidad de piezas 15 20 40 30 20

a)Identifique lo siguiente:
1) variable estudiada,
2) tipo de variable,
3) tamaño de la muestra,
4) elementos de la muestra

Determine utilizando técnicas numéricas:
b) la media y la desviación típica
c) el diámetro que es excedido por el 30% de las mediciones.
d) si el diámetro máximo aceptable es 23 mm , estime la probabilidad de que una pieza cumpla con esta especificación.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

i believe the answer is 323 ft

step-by-step explanation:

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x