The point slope form of the equation is y-4 = 3/5 (x-2)
Answer:
m<1 = 79°
Step-by-step explanation:
12x + 19 + 22x - 9 = 180
add the numbers
34x + 10 =180
minus 10
34x = 170
divide by 34
x = 5
plug 5 into the equation of angle 1
12(5) + 19 =
79
Answer:
The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of 
.
The margin of error is of:
In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.
This means that 
95% confidence level
So 
, z is the value of Z that has a p-value of 
, so 
.
Margin of error:
The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.
Answer:
f(-4) = -18
Step-by-step explanation:
f(-4) means x = - 4
So Plug in x = - 4 into f(x) = 3x - 6
f(-4) = 3(-4) - 6
= -12 - 6
= -18
So
f(-4) = -18
The range is the ouutput from inputing the input
basically
25=k²+2k+1 and 64=k²+2k+1
the values that satisfy both equations (not at the same tim) are the valuess that are the domain
solve each
25=k²+2k+1
minus 25 both sides (or recognize the perfect square trinomial, but anyway)
0=k²+2k-24
factor
0=(k+6)(k-4)
set to zero
k+6=0
k=-6
k-4=0
k=4
k=-6 or 4
64=k²+2k+1
minus 64 both sides
0=k²+2k-63
facor
0=(k-7)(k+9)
set to zer
k-7=0
k=7
k+9=0
k=-9
k=-9 or 7
so the domain has the numbers
-9,-6,4,7
it seems we only want the positive square roots so
answer is {4,7} is the domain
