Answer:
I believe the answer is X=40
Step-by-step explanation:
cross multiply 5*16 = X * 2
Multiply 5*16
80= X*2
Add '-2x' to each side of the equation
80 + -2x = 2x + -2x
Combine like terms
80 + -2x = 0
Add '-80' to each side of the equation.
80 + -80 + -2x = 0 + -80
Combine like terms: 80 + -80 = 0
0 + -2x = 0 + -80
-2x = 0 + -80
Combine like terms: 0 + -80 = -80
-2x = -80
Divide each side by '-2'.
x = 40
Simplifying
x = 40
Hope this helped :)
Answer:
Step-by-step explanation:
Is this y=-x^2 +2?
Here is the graph, in the photo.
Hope you understand
Answer:
yeah
Step-by-step explanation:
it's right i think tell me if not if not I'm sorry
Answer:
The sample size required is at least 171
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
What sample size is required?
A samle size of at least n is required, in which n is found when 
So






Rouding up
The sample size required is at least 171
Answer:
vertex = (- 10, - 10 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
h(x) = x² + 20x + 90
add/subtract ( half the coefficient of the x- term )²
h(x) = x² + 2(10)x + 100 - 100 + 90
= (x + 10)² - 10 ← in vertex form
with (h, k ) = (- 10, - 10 )