Jen has a circular dining table with a diameter of 4 feet. she buys a circular table cloth with a radius of 3 feet. approximately what are of cloth will hang over the edge.

A diameter of 4 feet would mean a radius of 2 feet, half that.

The area of a circle is 

2² = 2*2 = 4, so the table is 4π ft²
3² = 3*3 = 9, so the cloth is 9π ft²

9π cloth - 4π cloth on the table = 5π hanging over the edge.

We can approximate π to 3.14 and 5*3.14=15.7, so there is 15.7 ft² of cloth over the edge.

Step-by-step explanation:

Since the probability that Steven Adams makes any given free throw is fixed at 0.502, then this is a binomial probability. It is either he makes a free throw or he doesn't. The probability of success, p = 0.502

The probability of failure, q = 1 - p

q = 1 - 0.502 = 0.498

a) We want to determine P(x ≥ 7)

n = 8

Using the binomial probability calculator,

P(x ≥ 7) = 0.036

b) We want to determine P(x ≥ 70)

n = 80

Using the binomial probability calculator,

P(x ≥ 70) < 0.000001

c) Mean = np = 8 × 0.502 = 4.016

Standard deviation = √npq = √(8 × 0.502 × 0.498) = 1.41

d) Mean = 80 × 0.502 = 40.16

Standard deviation = √npq = √(80 × 0.502 × 0.498) = 4.47