you can measure the first angle with a protractor and then measure the other one see if there is a different angle
Answer:
Step-by-step explanation:
The formula for determining the confidence interval for the difference of two population means is expressed as
z = (x1 - x2) ± √(s²/n1 + s2²/n2)
Where
x1 = sample mean of group 1
x2 = sample mean of group 2
s1 = sample standard deviation for data 1
s2 = sample standard deviation for data 2
For a 95% confidence interval, the z score is 1.96
From the information given,
x1 = 25 pounds
s1 = 9 pounds
n1 = 78
x2 = 14 pounds
s2 = 7 pounds
n2 = 43
x1 - x2 = 25 - 14 = 11
√(s²/n1 + s2²/n2) = √(9²/78 + 7²/43) = √1.038 + 1.1395)
= 1.48
The upper boundary for the confidence interval is
11 + 1.48 = 12.48 pounds
The lower boundary for the confidence interval is
11 - 1.48 = 9.52 pounds
Given:
The equation of a circle is:
To find:
The center of the circle and its radius.
Solution:
The standard form of a circle is:
...(i)
Where, (h,k) is center and r is the radius of the circle.
The given equation of the circle is:
Write the given equation in standard form of a circle.
On further simplification, we get
...(ii)
On comparing (i) and (ii), we get
Therefore, the center of the circle is (0.5,1) and radius is 2 units.
Answer:
C
Step-by-step explanation:
x+4> 8
Subtract 4 from each side
x+4-4>8-4
x > 4
Open circle at 4, line going to the right