A study of the effectiveness of a flu vaccine was conducted with a sample of 500 people. The results of the study are given below. If a person is selected at random from the sample, find the specified probabilities, recording your answers as a %. The person has two injections ___

The person did not get the flu ___

The person got the flu and had one injection ___

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west

then

a≈380.13mi² would be your answer if the radius was 11 miles