Question

calculate area within 0.1 of the unit used. use 3.14 for pi. to find the numbers within 0.1 of the unit used, take 0.1 and divide by 2. 0.1/2 is 0.05. take each measurement required in the formula and subtract 0.05 from them. then find the area using these measurements. next take the measurements required in the formula and add 0.05 to them. take the new measurements and find the area. your answer will be a range from your lowest area to your highest area. area of a circle $a = \pi r^{2}$ $251.5\\ in^{2}\leq area\leq257.2\\ in^{2}$ $253.5\\ in^{2}\leq area\leq260.2\\ in^{2}$ $241.5\\ in^{2}\leq area\leq247.2\\ in^{2}$ $252.5\\ in^{2}\leq area\leq258.2\\ in^{2}$ statistics question 19 (3 points) a store is giving away a prize. every customer has a 1/100 chance of winning a $40 gift - card. if 50 customers enter the store, what is the expected total value of gift - cards the store will give away? expected value = (probability of winning) (number of customers) (value of the prize)

Explanation:

1. Discipline and Sub - field:

• The problem of finding the area of a circle is a problem in the Mathematics discipline, specifically in the sub - field of Geometry.

1. Solution for the area of the circle range:

• The radius of the circle \(r=\frac{18}{2}=9\) inches. The lower - bound of the radius for the error calculation is \(r_1 = 9 - 0.05=8.95\) inches and the upper - bound is \(r_2=9 + 0.05 = 9.05\) inches.
• The area of a circle is \(A=\pi r^{2}\). Using \(\pi = 3.14\), the lower - bound of the area \(A_1=3.14\times(8.95)^{2}=3.14\times80.1025 = 251.52185\approx251.5\) square inches.
• The upper - bound of the area \(A_2=3.14\times(9.05)^{2}=3.14\times81.9025 = 257.17385\approx257.2\) square inches.
• So the range of the area is \(251.5\ in^{2}\leq\text{area}\leq257.2\ in^{2}\).

Answer:

\(251.5\ in^{2}\leq\text{area}\leq257.2\ in^{2}\)