Answer:
<em>b = 15</em>
Step-by-step explanation:
4(b + 5) = 3b + 35
Distribute:
4(b + 5)
4(b) = 4b
4(5) = 20
4b + 20 = 3b + 35
Combine like terms:
4b - 3b = 35 - 20
b = 15
Answer:
a) expected number of broken eggs is 1.8 eggs
b) the standard deviation is 0.9 eggs.
Step-by-step explanation:
If X is a variable from a distribution with mean M and standard deviation s, then
the distribution of c×X has the mean c×M and standard deviation c×s.
Therefore 3 dozen eggs has expected number of 3×0.6=1.8 broken eggs and
standard deviation of 3×0.3=0.9 eggs.
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.
