Answer:
x = 10/√2 ≈ 7.07
Step-by-step explanation:
Comenzaremos por dividir el triángulo en dos partes y definir H, como en la figura adjunta.
Aplicando el teorema de Tales, sabemos que:
También sabemos que, dado que el tirángulo menor es la mitad que el triángulo mayor, la relación entre áreas es:
Dado que formamos dos triángulos rectángulos, podemos despejar el valor de H como:
Podemos entonces despejar x de la siguiente manera:
Answer:
y=4x-3
Step-by-step explanation:
y=(slope)x+b
y=4x+b
Insert Point:
So what i would do is take 3/5 and multiply is all by 3 so you end up with 9/15.
Now after you have done that do this, 9/15+ 4/15. Add 9/15 and 4/15 together which has a sum of 13/15 now add 11 + 6 which is 17 then add in the 13/15 and you get the answer of 17 13/15
Answer:
95% z-confidence interval for the proportion of all children enrolled in kindergarten who attended preschool is between a lower limit of 0.528 and an upper limit of 0.772.
Step-by-step explanation:
Confidence interval = p + or - zsqrt[p(1-p) ÷ n]
p is sample proportion = 39/60 = 0.65
n is the number of children sampled = 60
Confidence level (C) = 95% = 0.95
Significance level = 1 - C = 1 - 0.95 = 0.05
Divide significance level by 2 to obtain critical value (z)
0.05/2 = 0.025 = 2.5%
z at 2.5% significance level = 1.96
zsqrt[p(1-p) ÷ n] = 1.96sqrt[0.65(1-0.65) ÷ 60] = 1.96sqrt[0.2275 ÷ 60] = 1.96sqrt(3.792×10^-3) = 1.96×0.062 = 0.122
Lower limit = p - 0.122 = 0.65 - 0.122 = 0.528
Upper limit = p + 0.122 = 0.65 + 0.122 = 0.772
95% confidence interval is between 0.528 and 0.772
9514 1404 393
Answer:
C. 0.98
Step-by-step explanation:
The attached graph shows the constraints. The feasible solution space is the doubly-shaded area in the first quadrant. The negative coefficients on x and y suggest that the objective function will be maximized when x and y are minimized. The solution space vertex that does that is ...
(x, y, Y) = (6, 4, 0.98)
