Answer:
y = 
x + 8
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 )
rearrange 2x + 3y = 9 into this form
subtract 2x from both sides
3y = - 2x + 9 ( divide all terms by 3 )
y = - 
x + 3 ← in slope-intercept form
with slope m = -
given a line with slope m then the slope of a line perpendicular to it is
= - 
= -
= , hence
y = x + c ← is the partial equation
to find c substitute (- 2, 5) into the partial equation
5 = - 3 + c ⇒ c = 5 + 3 = 8
y = x + 8 ← equation of perpendicular line
1)Option B is the correct option.
231
2)Option A is the correct option.
6336
3)Option B is the correct option.
307 (not sure)
3:4 because both numbers can be divided by 3
X + 2 > 3x - 8
subtract x from both sides
2 > 2x - 8
add 8 to both sides
10 > 2x
divide both sides by 2
5 > x
ANSWER: 5 > x
Hope this helps! :)
Answer:
A sample of 179 is needed.
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 
.
That is z with a pvalue of 
, so Z = 1.44.
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.
A previous study found that for an average family the variance is 1.69 gallon?
This means that 
If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?
A sample of n is needed, and n is found for M = 0.14. So
Rounding up
A sample of 179 is needed.
