1.645sqrt((0.5(1-0.5))/n)<0.04

Solución

1.645 \frac{0.5 ( 1 - 0.5 )}{n} < 0.04

\frac{0.25}{n} < \frac{0.0016}{2.706025}

Pasos de solución

1.645 \frac{0.5 ( 1 - 0.5 )}{n} < 0.04

Dividir ambos lados entre

1.645

\frac{1.645 \frac{0.5 ( 1 - 0.5 )}{n}}{1.645} < \frac{0.04}{1.645}

Simplificar

\frac{0.5 ( 1 - 0.5 )}{n} < \frac{0.04}{1.645}

Elevar al cuadrado ambos lados

(\frac{0.5 ( 1 - 0.5 )}{n})^{2} < (\frac{0.04}{1.645})^{2}

Simplificar

\frac{0.25}{n} < (\frac{0.04}{1.645})^{2}

Expandir

(\frac{0.04}{1.645})^{2} : \frac{0.0016}{2.706025}

\frac{0.25}{n} < \frac{0.0016}{2.706025}

\frac{0.25}{n} < \frac{0.0016}{2.706025} : n < 0 or n > \frac{0.67650625}{0.0016}

n < 0 or n > \frac{0.67650625}{0.0016}

Encontrar puntos de singularidad

Encontrar valores no negativos para las raíces:

Sin solución

Combinar los rangos

(n < 0 or n > \frac{0.67650625}{0.0016}) and Sin soluci \overset{o}{ˊ} n

Mezclar intervalos sobrepuestos

Sin soluci \overset{o}{ˊ} n para n \in R

\frac{0.25}{n} < \frac{0.0016}{2.706025}

0.04 x + 0.045 (12000 - x) = 525

6 x^{2} - 9 = 0

(x - 7)^{2} + 6 = 0

\frac{52 !}{( 52 - 2 ) ! 2 !}

∣ 8 x + 1 ∣ \geq - 7