Answer: The equation of the perpendicular line intersects the point (-5,1) is y=x+6[/tex]
Step-by-step explanation:
step1:-
The standard form of slope - intercept form y=m x+c
Here m is called slope of the given line
C is called the y- intercept of the given line
Given equation of the straight line y=-x+1
comparing the slope - intercept form y=m x+c
here m= -1 and c=1
step2:-
The equation of the perpendicular line is
} =\frac{-1}{m} (x-x_{1} )[/tex]
substitute m = -1 and c =1 values in equation
step3:- The equation of the perpendicular line intersects the point (-5,1) is
y=x+6[/tex]
<u>conclusion</u><u>:</u>-
The equation of the perpendicular line is
y=x+6[/tex]
Answer:
standard error = 1.63
Step-by-step explanation:
To calculate the standard error we need to know the standard deviation (σ) and the sample size (n) (see the attached formula).
To obtain the standard deviation we use the given sample variance of 77.4 years:
σ²= variance
Therefore:
σ = √77.4 = 8.8
Now we can calcuate the estimated standard error:
standard error = σ /√n = 8.8/√29 = 1.63
The standard error gives us an estimation about how far the mean of the sample is from the mean of the entire population, and in this case is 1.63.
Answer:
Short leg = √3 cm
Step-by-step explanation:
the opposite angle of long leg is 60°
hypotenuse : x
sin 60° = 3/x = √3 / 2
x = (3 x 2) / √3 = 2√3
short leg length (s)
Cos 60° = 1/2 = s / x = s / 2√3
s = √3
