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.
99.7% encompasses about 3 standard deviations either side of the mean.
82 ±3*2 = (76, 88)
About 99.7% of the values lie between 76 and 88.
Answer:
<u>Option B</u>
Step-by-step explanation:
The question is as following:

Step Work Justification
1 2x + 6x − 4 = 12
2 8x − 4 = 12
3 8x = 16
4 x = 2
Which of the following has all of the correct justifications Wyatt used to solve this equation?
A. Distributive property. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.
B. Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.
C. Distributive property. 2. Combine like terms. 3. Subtraction property of equality. 4. Division property of equality.
D. Multiplication property of equality. 2. Combine like terms. 3. Subtraction property of equality. 4. Division property of equality
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<u>The answer:</u>
Step Work Justification
multiply both sides by 2
1) 2x + 6x − 4 = 12 ⇒ {Multiplication property of equality}
{Combine like terms}
2) 8x − 4 = 12 ⇒
Adding 4 both sides
3) 8x = 16 ⇒ {Addition property of equality}
divide both sides by 8
4) x = 2 ⇒ {Division property of equality}
The answer is option B
(B) Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.
Answer:
1) 5
2) 0.2
Step-by-step explanation:
The complete question is attached below.
The x-axis represents the time in hours and y-axis represents the distance in kilometers.
The first question asks how many kilometers, does Kendrick walk per hour. The straight line represents the distance traveled at various amounts of time.
The point marked on the graph is against time = 1 hour and Distance = 5 km. So this shows:
Kendrick walks 5 kilometers in 1 hour.
In next part, we have to find how much time Kendrick takes to walk 1 kilometer.
Since, we know that:
Kendrick walks 5 kilometers in time = 1 hour
Dividing both sides by 5, we can write:
Kendrick walks 1 kilometer in time = 1/5 hour = 0.2 hour
So, Kendrick takes 0.2 hours to walk 1 kilometer.
The ratio of the surface areas of two similar solids can be computed by squaring the given ratio of the corresponding sides. For this given,
r = (5:1)^1
r = 25:1
Thus, the ratio of the surface areas of the similar solids is 25:1.