Answer:
5
Step-by-step explanation:
in similar figures the side lengths must be proportional:
4/8 = x/10 cross multiply fractions
40 = 8x divide both sides by 8
5 = x
Short answer: r = 8
Remark
The easiest way to do this is to solve the sphere's volume in terms of pi. When you do this, you can equate that to the formula for a cylinder and cancel the pi values.
Step One
Find the volume of the sphere.
<em>Givens</em>
r = 6 cm
<em>Formula</em>
V = (4/3) pi r^3
<em>Sub and Solve</em>
V = 4/3 pi * 6^3
V = 288 * pi
Step two
Find the radius of the cylinder
<em>Givens</em>
V = 288* pi cm^3
h = 4.5 cm
<em>Formula</em>
V = pi r^h
<em>Sub and solve</em>
288 pi cm^3 = pi r^2 * 4.5 Divide both sides by pi
288 cm^3 = 4.5 r^2 Divide both sides by 4.5
388 / 4.5 = r^2
64 = r^2 Take the square root of both sides.
r = square root( 64)
r = 8 <<<<< Answer
Relative frequency = (number of times an item appears) /(TOTAL numbers)
Relative frequency (selecting Red ) = 13/30 =0.434
Answer:
Variance.
Step-by-step explanation:
that is the variance of the data.
The square root of the variance is the Standard Deviation.
Answer:
The point of intersection is at (2,3)
Step-by-step explanation:
