Answer:
327 children and 318 adults
Step-by-step explanation:
The x be the amount of children and y be the amount of adults that were at the swimming pool. We can use this to set up a system of equations:
x+y=645
1.75x+2.50y=1367.25
Move y to the other side in the first equation to isolate x and solve the system using substitution:
x=645-y
1.75(645-y)+2.50y=1367.25
Distribute
1128.75-1.75y+2.50y=1367.25
1128.75+0.75y=1367.25
Subtract 1128.75 from both sides
0.75y=238.5
Divide both sides by 0.75
y=318
x=645-y
x=645-318
x=327
327 children and 318 adults swam at the pool that day
P(z < x) = 0.6064 - 0.5 = 0.1064
From the normal distribution table
P(z < 0.27) = 0.1064
Therefore the z-score is 0.27
I can't explain it very well for you, sorry.
Step-by-step explanation:
Datos;
una locomotora
recorre 5 horas
a una velocidad de 82 km/h
Se asume que la locomotora lleva un movimiento rectilíneo uniforme.
Su recorrido esta descrito por la siguiente ecuación de posición;
x = x₀+ v · t
x-x₀ = d = v · t
siendo;
d = distancia recorrida
v = 82 km/h
t = 5 horas
Sustituir:
d = (82)(5)
d = 410 km
82km/h * 5h= 410km
La locomotora recorrerá 410km
Answer:
10x+1
Step-by-step explanation:
Answer:
The correct answer is 10 units.
Step-by-step explanation:
Profit function of a small business is given by P(x) = 0.3
+ 7x - 40, where x is the number of units sold.
The small business intend to make a profit of $60.
To find out the number of units the business has to sell in order to have a profit of $60 is given by,
P(x) = 0.3
+ 7x - 40 = 60
⇒ 0.3
+ 7x - 100 = 0
⇒ 3
+ 70x - 1000 = 0
⇒ x = -70 ±
× 
⇒ x = -70 ± 130 × 
⇒ x = 10 or -
Quantity sold cannot be negative giving us the value of x as 10 units.