Answer:
20
Step-by-step explanation:
The question states that the sample size is 16 and standard deviation of sampling distribution of sample mean also known as standard error is 5. This information can be written as
σxbar=standard error=5 ,n=sample size=16.
We have to find population standard deviation σ.
We know that
![Standard error=\frac{population standard deviation}{\sqrt{n} }](https://tex.z-dn.net/?f=Standard%20error%3D%5Cfrac%7Bpopulation%20standard%20deviation%7D%7B%5Csqrt%7Bn%7D%20%7D)
![population standard deviation=\sqrt{n} *(standard erorr)](https://tex.z-dn.net/?f=population%20standard%20deviation%3D%5Csqrt%7Bn%7D%20%2A%28standard%20erorr%29)
![\sqrt{n} =\sqrt{16} =4](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%5Csqrt%7B16%7D%20%3D4)
<em>Population standard deviation=</em>σ=4*5=20
Answer:
The length of side a is 30
Step-by-step explanation:
because the side of an angle is the side it's pointing at which is BD. BD = a = 30
Answer:
75.3 degrees ( to nearest tenth).
Step-by-step explanation:
If we take a section through the plane BCHE we get a rectangle.
BC = 2 cm and BE = √(7^2 + 3^2). ( By the pythagoras theorem).
tan < BCE = √(7^2 + 3^2) / 2.
So the m < BCE = 75.3 degrees.
y = -x + 5
Slope of this line = - 1.
Slope of the line that is perpendicular is negative reciprocal.
For example if slope= a/b, then slope of the perpendicular line = -b/a.
For our line, the slope is going to be -(-1)=1.
y=mx +b
m=1
y=x+b
We need to find b. We are going to use point (5, -1).
y = x +b
-1 = 5 + b
b= -6
So,
y= x - 6
Answer is A.