Answer:
Se vendieron 81 boletos de niños y 63 boletos de adultos.
Step-by-step explanation:
La cantidad de boletos vendidos es igual a:
(1)
En donde <em>a </em>es por adultos y <em>n</em> por niños
A su vez, el dinero gastado equivale:
(2)
Resolviendo la ecuación (1) para <em>a:</em>
(3)
Introduciendo (3) en la ecuación (2) tenemos:


Ahora podemos calcular el numero de boletos de adultos vendidos introduciendo <em>n</em> en la ecuación (3):

Entonces, se vendieron 81 boletos de niños y 63 boletos de adultos.
Espero que te sea de utilidad!
Answer:
d
Step-by-step explanation:
Slope intercept form: y = mx + b
y = -x + 7
x + y = 21
x + y = 21
-x -x
y = -x + 21
y = -x + 7
y = -x + 21
Parallel lines have the same slope. Here, our slope is -1
Therefore, our final answer is d.
Hope this helps!
Answer:
(a) 0.9412
(b) 0.9996 ≈ 1
Step-by-step explanation:
Denote the events a follows:
= a person passes the security system
= a person is a security hazard
Given:

Then,

(a)
Compute the probability that a person passes the security system using the total probability rule as follows:
The total probability rule states that: 
The value of P (P) is:

Thus, the probability that a person passes the security system is 0.9412.
(b)
Compute the probability that a person who passes through the system is without any security problems as follows:

Thus, the probability that a person who passes through the system is without any security problems is approximately 1.
The given data is
t, h: 0 2 4 6 8 10
r(t), L/h: 8.6 7.9 6.8 6.4 5.7 5.3
The lower and upper estimates for the total amount that leaked may be computed as the Left and Right Riemann sums.
The shape of the graph of r versus will determine which of the two sums yields an upper or lower sum.
The plot of the graph is shown below.
The Left Riemann sum is
Sl = 2*(8.6+7.9+6.8+6.4+5.7) = 70.8 L
The Right Riemann sum is
Sr = 2*(7.9+6.8+6.4+5.7+5.3) = 64.2 L
Answer:
The lower estimate for oil leakage is 64.2 L
The upper estimate for oil leakage is 70.8 L