Answer:
x = -1, y = 2 and z = 1
Step-by-step explanation:
The given system of equations are :
2x - y + 3z= -1 ....(1)
x + 2y - 4z = -1 ......(2)
y – 2z = 0 .....(3)
Equation (3) can be written as :
y = 2z
Use y = 2z in equation (2)
x + 2(2z) - 4z = -1
x + 4z - 4z = -1
x = -1
Put the value of x in equation (1) :
-2 -y +3z = -1
-y+3z = 1 ....(4)
Adding equation (3) and (4)
y-2z+(-y+3z)=1
z = 1
Now put z = 1 in equation (4)
-y+3=1
-y = -2
y = 2
Hence, the values of x,y and z are -1, 2 and 1 respectively.
Answer:
Yoko bought 5 pounds of coffee.
If you want the steps, let me know. Hope this helps!!
Step-by-step explanation:
Answer:
range is between 55.5 to 64.5
Step-by-step explanation:
Horn lengths of Texas longhorn cattle are normally distributed. The mean horn spread is 60 inches with a standard deviation of 4.5 inches
68% is 1 standard deviation from mean
To get the range of 1 standard deviation we add and subtract standard deviation from mean
mean = 60
standard deviation = 4.5
60 - 4.5= 55.5
60+4.5 = 64.5
1 standard deviation is between 55.5 to 64.5
That is 68% range is between 55.5 to 64.5
Answer:
X= 6/7
Step-by-step explanation:
