Answer:
34
Step-by-step explanation:
The mean is calculated as
mean =
let x be the missing frequency, then
Total frequency × midpoint
= (16 × 2) + 7x + (20 × 12) + (10 × 17) = 32 + 7x + 240 + 170 = 442 + 7x
Total frequency = 16 + x + 20 + 10 = 46 + x, thus
= 8.5 ( cross- multiply )
442 + 7x = 8.5(46 + x)
442 + 7x = 391 + 8.5x ( subtract 8.5x from both sides )
442 - 1.5x = 391 ( subtract 442 from both sides )
- 1.5x = - 51 ( divide both sides by - 1.5 )
x = 34
The missing frequency is 34
Answer:
the first option
Step-by-step explanation:
I have attached the explanation. hope this help
Answer:
Option C.
The distance from the point to the circle is 6 units
Step-by-step explanation:
we know that
The distance between the circle and the point will be the difference of the distance of the point from the center of circle and the radius of the circle
step 1
Find the center and radius of the circle
we have
Convert to radius center form
Complete the square
Rewrite as perfect squares
so
The center is the point (0,4)
The radius is
step 2
Find the distance of the point from the center of circle
the formula to calculate the distance between two points is equal to
we have
(6,-4) and (0,4)
substitute the values
step 3
Find the difference of the distance of the point from the center of circle and the radius of the circle
therefore
The distance from the point to the circle is 6 units
see the attached figure to better understand the problem
