Answer:
a. difference of means
Step-by-step explanation:
Given that :
Mean , x = 9.4
Standard deviation,
= 2.5
Number,
= 12
Mean, y = 6.5
standard deviation,
= 2.4
Number,
= 12
The null hypothesis is : 
The alternate hypothesis is : 
Level of significance,
= 0.1
From the
= 1.363
Since out test is right tailed.
Reject
, if 
We use the test statics,





The value of
with minimum
that is 11 df is 1.363
We go
and
= 1.363
Decision making:
Since the value of
and we reject the 
The p-value : right tail 
= 0.00724
Therefore the value of
, and so we reject the 
Thus we are testing 'the difference of means" in this problem.
Whats the equation to the question
We have that
y=x²----> equation 1<span>
y=x+2-----> equation 2
multiply equation 1 by -1
-y=-x</span>²
add equation 1 and equation 2
-y=-x²
y=x+2
------------
0=-x²+x+2-------------> -x²+x+2=0-----> x²-x-2=0
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(x²-x)=2
<span>Complete
the square. Remember to balance the equation by adding the same constants
to each side
</span>(x²-x+0.5²)=2+0.5²
Rewrite as perfect squares
(x-0.5)²=2+0.5²
(x-0.5)²=2.25-----> (x-0.5)=(+/-)√2.25-----> (x-0.5)=(+/-)1.5
x1=1.5+0.5-----> x1=2
x2=-1.5+0.5---- > x2=-1
for x=2
y=x²----> y=2²----> y=4
the point is (2,4)
for x=-1
y=x²----> y=(-1)²---> y=1
the point is (-1,1)
the answer isthe solution of the system are the points(2,4) and (-1,1)
Answer:
x = 34 degrees
Step-by-step explanation:
if this is a parallelogram then Δ ACB ≅ Δ DCB
which means that ∠A = ∠D