Answer: the value for the associated test statistic is 1.2653
Step-by-step explanation:
Given that;
sample size one n₁ = 10
mean one x"₁ = 6.4
standard deviation one S₁ = 1.1
sample size two n₁ = 11
mean two x"₂ = 5.6
standard deviation one S₁ = 1.7
H₀ : μ₁ = μ₂
H₁ : μ₁ ≠ μ₂
Pooled Variance
sp = √( { [(n₁ - 1) × s₁² + (n₂ - 1) × s₂²] / (n₁ + n₂ - 2)} × (1/n₁ + 1/n₂))
we substitute
= √( { [(10 - 1) × (1.1)² + (11 - 1) × (1.7)²] / (10 + 11 - 2)} × (1/10 + 1/11))
= √( { [(9) × 1.21 + (10) × 2.89] / (19) } × (0.1909))
= √({[ 39.79 ] / 19} × (0.1909))
= √( 2.0942 × 0.1909)
= √( 0.39978 )
= 0.63228
Now Test Statistics will be;
t = ( x"₁ - x"₂) / sp
we substitute
t = ( 6.4 - 5.6) / 0.63228
t = 0.8 / 0.63228
t = 1.2653
Therefore the value for the associated test statistic is 1.2653
The answer to what? If you can tell me, I'd be happy to help. :)
<h3>
Answer: x = -12</h3>
=======================================================
Work Shown:
Let's label angle 2 as y, so y = x+132.
Also, let's add another variable z. We'll make z equal to the angle adjacent and supplementary to angle y. So y+z = 180
Solve for z to get
z = 180-y
z = 180-(x+132)
z = 180-x-132
z = 48-x
This angle z is added to the 90 degree angle to get the measure of the exterior angle 150 degrees. This is through the remote interior angle theorem.
So,
z+90 = 150
48-x+90 = 150
138-x = 150
-x = 150-138
-x = 12
x = -12
Answer:
120 in
Step-by-step explanation:
(5 in * 12 in)/2 = 30 in
30 in * 4 = 120 in
I hope that helps :D
A should equal to -3 or -4 depending on whether what the equation is.
For example, if it's (1/9)^(a+1)=81^(a+1) x 27^(2-a), then the answer is -4.
But if it's the other way stated above, then it should be -3.
Hope this helps.
