Answer:
The standard error of the mean = 2
Step-by-step explanation:
Given that:
The standard deviation σ = 14
The sample size n = 49
The sample mean
= 56
The formula for calculating the standard error can be expressed as:



S.E = 2
Therefore, the standard error of the mean = 2
327 is gonna be your answer just use a calculator
Answer:
1) x= 3i, x= - 3i
2) x= +i
, x = - i
Step-by-step explanation:
1) x^2+9=0
(x+3i)(x-3i)=0
x= 3i, x=-3i
2) x^2-4=-11
x^2=-7
x= ±i
x= +i
, x = - i
hope this helps!! :))
Answer:
The y-value of the vertex is 
Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to

where
(h,k) is the vertex of the parabola
In this problem we have
-----> this a vertical parabola open upward
Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side


Rewrite as perfect squares


The vertex is the point 
The y-value of the vertex is 
<span>Using the information we have
3x+4=40
Do the same to each side of the equation to eliminate for x.
3x+4=40 Minus 4 from each side
3x=40-4
3x=36
Divide 3 from each side
x=36/3
x=12
AC=3x+4
insert the value of x
3(12)+4=40
AC=40
AD=20</span>