If a jelly bean machine contains 16 pink jelly beans, 34 blue jelly beans, 24 black jelly beans, and 26 purple jelly beans, what is the probability that a jelly a
bean chosen at random will be blue?

34/100

Step-by-step explanation:

Add up all the jelly beans. 16+34+24+26=100

There are 34 blue jelly beans, so the probability is 34/100 but if you want to simplify that, it would be 17/50. If you were looking for a percentage that would be 34%

s

step-by-step explanation:

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