In a large population, 61% of the people are vaccinated, meaning there are 39% who are not. The problem asks for the probability that out of the 4 randomly selected people, at least one of them has been vaccinated. Therefore, we need to add all the possibilities that there could be one, two, three or four randomly selected persons who were vaccinated.
For only one person, we use P(1), same reasoning should hold for other subscripts.
P(1) = (61/100)(39/100)(39/100)(39/100) = 0.03618459
P(2) = (61/100)(61/100)(39/100)(39/100) = 0.05659641
P(3) = (61/100)(61/100)(61/100)(39/100) = 0.08852259
P(4) = (61/100)(61/100)(61/100)(61/100) = 0.13845841
Adding these probabilities, we have 0.319761. Therefore the probability of at least one person has been vaccinated out of 4 persons randomly selected is 0.32 or 32%, rounded off to the nearest hundredths.
Answer:
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Step-by-step explanation:
Here you go
11x-2=75 right and its an corresponding sooooo they equal each other so the other one is 75 also if u want a my math lmk
The height of the ballon is 34 feet 2 inches.
To be able to solve this question, we need to understand the concept of angle of elevation.
<h3>What is the angle of elevation?</h3>
An angle of elevation is the angle formed between the horizontal plane (adjacent line) to the line of sight(elevation) from the viewer's eye to the object located in the space.
- The diagrammatic expression for the question given can be seen in the image attached below.
From the image below, we can determine the height of the ballon by taking the tangential trigonometric function.


Let's first convert 14 ft 6 in to ft, by doing so, we get 14.5 ft

x = tan 67 (14.5 ft)
x = 2.356(14.5 ft)
x =34.162 ft
To ft and inches, we have:
x = 34 ft 2 inches
Learn more about angles of elevation here:
brainly.com/question/25748640
Answer:
8x-3=17
Step-by-step explanation:
The term “less than” indicates that the 8x comes first in the equation because you’re taking 3 away from it