Answer:
a) 18 cm
b) 18
c) 3
The Earl's height is unusual because the z score does not lies in the given range of usual i.e -2 and 2
Step-by-step explanation:
Given:
Mean height, μ = 174 cm
Standard deviation = 6 cm
height of Earl, x = 192 cm
a) The positive difference between Earl height and the mean = x - μ
= 192 - 174 = 18 cm
b) standard deviations is 18
c) Now,
the z score is calculated as:
or
or
z = 3
The Earl's height is unusual because the z score does not lies in the given range of usual i.e -2 and 2
Answer:
D
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 6, - 8), thus
(x + 6)² + (y + 8)² = r²
The radius is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂ ) = (0, 0)
r = 
= 
= 
= 10
Hence
(x + 6)² + (y + 8)² = 100 → D
Answer:
The solutions are 
Step-by-step explanation:
we have
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
square root both sides
5/8=.625 and 7/15=.466 repeating so 5/8 is a bigger fraction
