Answer:
The degrees of freedom for this problem are 21
Step-by-step explanation:
Degrees of freedom:
When testing an hypothesis involving two samples, the number of degrees of freedom is given by:
In which is the size of the first sample and
is the sample of the second sample.
In this question:
Samples of 9 and 14, so
The degrees of freedom for this problem are
The degrees of freedom for this problem are 21
so we know the radius of the sphere is 8, and its surface area is 4πr², therefore its surface area is 4π8², namely 256π.
we also know that the surface area of the cylinder is half that of the sphere, namely 256π/2 or 128π, let's use that surface area to get the height h.
since now we know h and r for the cylinder, and we also know r for the sphere, let's check their volume's ratio.
Answer:
14 balls will be pink out of 21 balls.
Step-by-step explanation:
Given that:
2 out of every 3 balls are pink in a multi color package.
Ratio of pink balls to balls drawn = 2:3
Number of balls in package = 21 balls
Number of pink balls = x
Ratio = x:21
This is a proportional relationship
2 : 3 :: x : 21
Product of mean = Product of extreme
3x = 21*2
3x = 42
Dividing both sides by 3
Hence,
14 balls will be pink out of 21 balls.