Answer:
a. 0.50
Step-by-step explanation:
The standard error of the mean is the standard deviation of the population divided by the square root of the sample size.
In this problem, we have that:
Standard deviation of the population: 6 hours
Sample size: 144
Square root of 144 is 12.
So the standard error of the sample mean is 6/12 = 0.5.
the function is decreasing and the y intercept is (0,1)
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:
It's D.
Step-by-step explanation:
The shorter period loan has the same total interest for the same loan amount, so it has the higher effective interest rate: 80/12 is higher than 89/14.
Answer:The amount of paint that was sold altogether is 173.36 litres
Step-by-step explanation:
The total amount of paint that the paint shop stocks is 1800 litres.
24% of the paint is white. It means that the amount of white paint would be
24/100 × 1800 = 0.24 × 1800 = 432 litres.
The amount of the remaining paint other than white would be
1800 - 432 = 1368 litres
The shops sells 18% of the white paint. This means that the amount of white paint sold by the shop will be
18/100 × 432 = 0.18 × 432 = 77.6 litres.
The shops sells 7% of the rest of the paint.
This means that the amount of the rest paint sold by the shop will be
7/100 × 1368 = 0.07 × 1368 = 95.76 litres.
The amount of paint that was sold altogether would be
77.6 + 95.76 = 173.36 litres
