x - y + 5z = 3 .... (1)
4x + z = 0
.......(2)
x + 3y + z = -9 .......(3)
From (2) z = -4x, Substitute for z in (1) and (3):-
x - y + 5(-4x) = 3
-19x + y = 3 ......(4)
x + 3y - 4x = -9
-3x + 3y = -9
- x + y = -3 .....(5)
Subtract:- (4) - (5) we get
-18x = 0
x = 0
So z = -4x = 0
Substituting for x and z in equation (3):-
3y = -9
y = -3
Answer is x = 0 , y = -3 and z = 0
From least to greatest
-10,-2,-1 ,5
Answer:
unlimited
Step-by-step explanation:
When we have an equation with 2 variables, and they are of first degree, we can have unlimited number of solutions. The solutions are written as ordered pairs. For any value of x we can find y.
Answer:
99% Confidence interval is given as;
Lower Limit = 0.062
Upper Limit = 0.130
Step-by-step explanation:
Given the data in the question;
x = 48
n = 500
sample proportion p = x/n = 48/500 = 0.096
with 99% confidence
significance level ∝ = 1 - 99% = 1 - 0.99 = 0.01
∝/2 = 0.01 / 2 = 0.005
Critical Z-value =
=
= 2.576
Now,
Standard error of p : SE = √[ (p × ( 1 - p) / n ) ]
we substitute
SE = √[ (0.096 × ( 1 - 0.096) / 500 ) ]
SE = √[ (0.096 × 0.904) / 500 ]
SE = √[ 0.086784 / 500 ) ]
SE = 0.0131745
so
Margin of Error E =
× SE
E = 2.576 × 0.0131745
E = 0.0339
Now 99% confidence interval will be
⇒ 0.096 ± 0.0339
⇒ (0.096 - 0.0339, 0.096 + 0.0339 )
⇒ ( 0.062, 0.130 )
Lower Limit = 0.062
Upper Limit = 0.130