Answer: 12
Step-by-step explanation:
The formula to find the sample size is given by:-
, where 
is the population standard deviation, 
is the z-value for the 
confidence interval and E is the margin of error .
As per given , we have
Population standard deviation : 
z-value for 95% confidence interval : 
Margin of error : E= 3
Then, the required minimum sample :-
Hence, the required minimum sample size = 12
Define the formula for the surface area of a square pyramid.
A square pyramid has a square base and four triangular sides.
The formula for this case is:
A = s ^ 2 + 2 * s * L
Where,
s: side of the base
L: inclined height
The inclined height is:
L = root (h ^ 2 + (s / 2) ^ 2)
Where,
L = root (12 ^ 2 + (12/2) ^ 2)
L = root (144 + 36)
L = root (180)
L = 13.42
Substituting values:
A = (12) ^ 2 + 2 * (12) * (13.42)
A = 466.08 in ^ 2
Answer:
The surface area is:
A = 466.08 in ^ 2
Answer:
x = 4, -10
Step-by-step explanation:
Find the zeros of the equations.
Solve the equation:
x^2 + 6x = 40
Subtract -40 from both sides.
x^2 + 6x - 40 = 0
Factor the equation.
(x - 4)(x + 10)
Solve for x with the given information by equaling it to 0.
x - 4 = 0
Add 4 to both sides
x = 4
x + 10 = 0
Subtract 10 from both sides
x = -10
This means that our x values are:
x = 4, -10
I cannot see the statements you are given as options, but if x = y, and y = z, you can write that as x = y = z, which means that x = z also.
I hope this helps!
