Answer:
The hypotheses used in this situation
Step-by-step explanation:
We are given that Business Week reported that at the top 50 business schools, students studied an average of 14.6 hours.
Mean = 
Claim : The amount UMSL students study is different from this 14.6 hour benchmark.
The hypotheses used in this situation
Answer:
x=7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6(x−1)=−2x+50
(6)(x)+(6)(−1)=−2x+50(Distribute)
6x+−6=−2x+50
6x−6=−2x+50
Step 2: Add 2x to both sides.
6x−6+2x=−2x+50+2x
8x−6=50
Step 3: Add 6 to both sides.
8x−6+6=50+6
8x=56
Step 4: Divide both sides by 8.
8x
/8
=
56
/8
x=7
Answer:
We need to sample at least 1069 parents.
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.
How many parents do you have to sample?
We need to sample at least n parents.
n is found when 
. So
Rounding up
We need to sample at least 1069 parents.
Answer:
complementary angles, x=19
Step-by-step explanation:
since the two parts of the angle add up to 90, they are complementary angles.
you can find x by adding them and setting it equal to 90:
3x-2+2x-3 = 90
5x-5 = 90
5x = 95
x = 19
Answer:
y = (x - 3)² + 6
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square
y = x² - 6x + 15
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = x² + 2(- 3)x + 9 - 9 + 15
y = (x - 3)² - 9 + 15
y = (x - 3)² + 6 ← in vertex form
