Answer:
There is no evidence that the doors are too long and need to be trimmed (H₀ is accepted)
Step-by-step explanation:

The null hypothesis, 
Alternative hypothesis, 
Test statistic is calculated as follows:

Find the P-value
P(z > 1.27) = 1 - P(z < 1.27)
P(z > 1.27) = 1 - 0.898
P(z > 1.27) = 0.102
Significance level, α = 0.01
Since P - value(0.102) is greater than α (0.01), the null hypothesis will be accepted.
Answer:

Step-by-step explanation:
The formula of an area of a kite:

p, q - diagonals
We have p = 17 and q = 15.3. Substitute:

9)
We are given:
The largest rectangle has 3 rectangles:
Rectangle 1 has a length of x & a width of 5
Rectangle 2 has a length of 2y & a width of 5
Rectangle 3 has a length of 3 & a width of 5
The area is given by:

OR
Answer:
y = x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x - 1 ← is in slope- intercept form
with slope m = - 1
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= 1, thus
y = x + c ← is the partial equation of the perpendicular line
To find c substitute (- 1, - 2) into the partial equation
- 2 = - 1 + c ⇒ c = - 2 + 1 = - 1
y = x - 1 ← equation of perpendicular line