Answer:
We have sufficient evidence to conclude at α = .05 that the husband’s perception would be higher than the wife’s.
Step-by-step explanation:
The hypotheses testing procedure in the given scenario is
H0: Husband’s perception would be similar to the wife’s i.e. μh=μw
Ha: Husband’s perception would be higher than the wife’s i.e. μh>μw
Level of significance: α=0.05
Test statistic: t=2.776
Critical region: t>t(0.05,9)=1.833
Conclusion: As the calculated value of t lies in critical region, so we reject our null hypothesis at 0.05 level of significance. Thus, we have sufficient evidence to conclude at α = .05 that the husband’s perception would be higher than the wife’s.
Answer:

Step-by-step explanation:
I assume that the three points given are the vertices of the triangle. So the three points are:
A (-4,1)
B (-7,5)
C (0,1)
The area of a triangle is given by:

where b is the base and h is the height.
Here we can take as follows:
- We can take the base to be the side AC, so that its length is equal to the distance between the two points:

- The height of the triangle is therefore the perpendicular distance between AC and point B. This is equivalent the difference in the x-coordinate between any point on AC and B, so:

Therefore, the area of the triangle is:

Answer:
you plug in (y) with the top equation
Step-by-step explanation:
step 1: 2x+1/2x-1=-6
step 2: 2.5x-1=-6
step 3: 2.5x-1=-6
+1. +1
step 4: 2.5x= -5. Divide both sides by 2.5
-5/2.5 = -2
step 5: plug in your (x) to find (y)
y= 1/2(-2)-1
step 6: 1/2(-2) = -1
y=( -1)-1
y=-2
step 7: (x,y)= (-2,-2)
step 8: graph your coordinate
I hope that this helped you!
No,
although all the sides are the same length on an equilateral triangle the height is calculated by a straight perpendicular line at the mid point of the base.
The sides are not perpendicular with the base and are angled outwards