Linear equations are equations that have constant slopes
The linear equation that represents the table is (a) y = 7x +4
<h3>How to determine the linear equation</h3>
Start by calculating the slope (m) using:
So, we have:
Simplify
The equation is then calculated as:
So, we have:
Open the brackets
Hence, the linear equation that represents the table is (a) y = 7x +4
Read more about linear equations at:
brainly.com/question/14323743
Answer:
x = 15
Step-by-step explanation:
Since the triangles are similar we can find x using similarity ratio
14/8 = (x+6)/(x-3) simplify first expression
7/4 = (x+6)/(x-3) cross multiply expressions
7×(x-3) = 4×(x+6)
7x-21 = 4x + 24 add like terms
3x = 45
x = 15
Answer:
7.30167%
Step-by-step explanation:
Usando la fórmula de puntuación z
z = (x-μ) / σ, donde x es la puntuación bruta, μ es la media de la población y σ es la desviación estándar de la población
Para x <0.20 pulgadas
z = 0.20 - 0.25 / 0.02
z = -2.5
Valor de probabilidad de Z-Table:
P (x <0.20) = 0.0062097
Para x> 0.28 pulgadas
z = 0.28 - 0.20 / 0.02
z = 1.5
Valor de probabilidad de Z-Table:
P (x <0.28) = 0.93319
P (x> 0.28) = 1 - P (x <0.28) = 0.066807
La probabilidad de que se produzcan tornillos defectuosos cuando el tornillo se considera defectuoso si su diámetro es inferior a 0.20 pulgadas o superior a 0.28 pulgadas es
P (x <0.20) + P (x> 0.28)
= 0.0062097 + 0.066807
= 0.0730167
Conversión a porcentaje
= 0.0730167 × 100
= 7.30167%
El porcentaje de tornillos defectuosos producidos es
7.30167%
14: 1 × 14
2 × 7
56: 1 × 56
2 × 28
4 × 14
7 × 8
63: 1 × 63
3 × 21
7 × 9
GCF(14, 56, 63) = 7
