P1=(0,0)=(x1,y1)→x1=0, y1=0
P2=(3,-2)=(x2,y2)→x2=3, y2=-2
Slope: m=(y2-y1)/(x2-x1)
m=(-2-0)/(3-0)
m=(-2)/3
m=-2/3
Point-slope equation:
y-y1=m(x-x1)
y-0=(-2/3)(x-0)
y=-(2/3)x
Answer: The equation of the line is: y=-(2/3)x
Answer:
For 99% of confidence interval is 67.5±1.3524
Step-by-step explanation:
Given:
Mean height =67.5 inches
Standard deviation:2.1 inches
Z at 99%.
No of samples 16.
To find:
confidence interval
Solution:
We have formula for confidence interval,
=mean ±Z*{standard deviation/sqrt(no.of observation)}
Now
Z=99%
has standard value as ,
Z=2.576
Confidence interval= mean±Z{standard deviation/sqrt(No. of samples)}
=67.5±2.57{(2.1/sqrt(16)}
=67.5±2.576(2.1/4)
=67.5±1.3524
Answer:
<h2> no, because the remainder is 126</h2>
Step-by-step explanation:
if x+3 is a factor, then -3 is a root of expression, and the remainder would be 0
calculating remainder:
Answer:
The equation that goes through this set of points is y = -x + 5
Step-by-step explanation:
In order to find this, we need to start by finding the slope. For that we use the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (6 - -2)/(-1 - 3)
m = 4/-4
m = -1
Now that we have this, we can use the slope and a point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 6 = -1(x - -1)
y - 6 = -1(x + 1)
y - 6 = -x - 1
y = -x + 5
Answer:
No solution
Step-by-step explanation:
since it equals a negative 3 in the original equation it cannot be solved
