Answer:
x = 24.48, y = -15.52, z = 3.95 to the nearest hundredth.
Step-by-step explanation:
x+y-z=5 (a)
-x-4y-8z=6 (b)
3x+5y-4z=-20 (c)
Adding equations a and b:
-3y - 9z = 11 (d)
Now multiply equation b by 3:
-3x - 12y - 24z = 18 (e)
Adding c and e:
-7y - 28z = -2 (f) Multiply by 3 to give (g)
-3y - 9z = 11 (b) Multiply by -7 to give (h)
-21y - 84z = -6 (g)
21y + 63z = -77 (h) Adding g and h:
-21z = - 83
z = 3.952
and y is found bt substituting in equation d:
-3y - 9(3.952) = 11
y = ( 11 + 9(3.952) / -3
= -15.52.
Now find x by substituting for y an z in equation a:
x - 15.52 - 3.952 = 5
x = 5 + 15.52 + 3.952
= 24.476.
Answer:
tarro corto
Step-by-step explanation:
Aquí tenemos que comprar el frasco que tiene el menor costo por volumen.
= Altura del frasco corto
= La altura del frasco alto es el doble que el del frasco corto. = 
= Diámetro del frasco corto
= El diámetro del frasco alto es la mitad del frasco corto = 
El volumen de un cilindro es 
La razón de los volúmenes de los frascos es
El costo del frasco corto por unidad de volumen es
El costo del frasco alto por unidad de volumen es
Entonces, el costo del frasco corto por unidad de volumen es menor que el costo por unidad de volumen del frasco alto.
Por lo tanto, deberíamos tomar el frasco corto.
Answer:
z = 5*(1/2)
z = 5/10
---
time switching classes:
w = 7/10
---
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (76/10 - 5/10 - 7/10)/6
x = (76 - 5 - 7)/(10*6)
x = (64)/(10*6)
x = (2*2*2*2*2*2)/(2*5*2*3)
x = (2*2*2*2)/(5*3)
x = 16/15
x = 1.0666666666
---
check:
y = 7 + 3/5
y = 7.6
z = 1/2
z = 0.5
w = 7/10
w = 0.7
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (7.6 - 0.5 - 0.7)/6
x = 1.0666666666
---
answer:
z = 5*(1/2)
z = 5/10
---
time switching classes:
w = 7/10
---
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (76/10 - 5/10 - 7/10)/6
x = (76 - 5 - 7)/(10*6)
x = (64)/(10*6)
x = (2*2*2*2*2*2)/(2*5*2*3)
x = (2*2*2*2)/(5*3)
x = 16/15
x = 1.0666666666
---
check:
y = 7 + 3/5
y = 7.6
z = 1/2
z = 0.5
w = 7/10
w = 0.7
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (7.6 - 0.5 - 0.7)/6
x = 1.0666666666
---
answer:
each class is 1.07 hours
Step-by-step explanation:
Answer:
one solution
Step-by-step explanation:
here, we want to select the correct option
From the system, we have two values of y
Equating the y-values
3x + 2 = -2x - 1
What this mean is that there is only a particular point where this solution will work and as such, the system has one solution
The question requires stating the Null and Alternative hypothesis for the scenario described :
Answer:
H0 : μ = 24
H1 : μ < 24
Step-by-step explanation:
The claim or hypothesis to be tested in a statistical problem or analysis is the alternative hypothesis. This is usually the opposite of the Null hypothesis which is the usually the initial truth until there is significant evidence provided using statistical test to prove otherwise.
The null hypothesis, H0 in the scenario above is :
H0 : μ = 24 ( average battery life is 24 hours)
The alternative hypothesis is the claim, that is. The mean battery life not up to 24 hours ;
H1 : μ < 24
