Answer:
q = 6/13, p = 35/13
Step-by-step explanation:
3p + 2q = 9
2p - 3q = 4
_________ (subtract the two equation from each other.)
p + 5q = 5
p = 5 - 5q
2(5 - 5q) - 3q = 4 (substitute value of p into equation)
10 - 10q - 3q = 4
10 - 13q = 4
-13q = -6
<u>q = 6/13</u>
3p + 2(6/13) = 9 (substitute value of q into equation)
3p + 12/13 = 9
3p = 105/13
<u>p = 35/13</u>
<u />
Answer:
40°
Step-by-step explanation:
<CAB=70°
<ABC=70°
<ACB+ <CAB+ <ABC=180(sum of angles in a triangle)
<ACB +70+70=180
<ACB+140=180
<ACB=180-140
<ACB=40°
Answer:
t = 34.548
Step-by-step explanation:
Here X₁ = Solid values / n
= 26.3 +25.3+26.1+25.6+26.7+25.9/6
=155.9 / 6
=25.984
X₂ = Liquid values/n
= 16.9 +16.6+16.5+17.4+17.4+17.2 / 6
=102/6 = 17
Formula for the sample standard deviation is

we get
s₁ = 0.49967
s₂ = 0.3949
Construction of hypothesis
H₀ :μ₁ = μ₂
H₁ : μ₁ ≠ μ₂
Apply test statistic formula we get the value

putting all these values
t = 25.984 - 17 / √ (o.49967)²/6 + (0.39497)²/6
t = 34.548