The calculated 95% confidence interval for the percentage of coffee drinkers expressing addiction ranges from 21% to 31%. By defining the sample proportion and acknowledging a sample size of 675, while also factoring in a maximum margin of sampling error set at ±5%, the final confidence interval for addiction rates among all surveyed coffee drinkers is established.
Response:
Step-by-step explanation:
Assuming there are 100 sour candies, thus-
since 26% of the candies are grape, it follows that 26% of 100 candies means we have 26 grape candies
Consequently, the remaining candies that are not grape amount to 100-26 = 74
Applying the multiplication principle:
P(A ∩ B) = P(A)/ P(B|A)
Initially, there are 26 grape candies, therefore the probability of selecting the first grape candy = 26C1 = 26
After choosing the first one, we put the selected grape candy back, so there are still 100 candies total P(B|A) = 100C3 = 100 x 99 x 98 x 97!/3! X 97!
= 50 x 33 x 98
Thus, the probability becomes 1/ 50 x 33 x 98 x 26
= 1/4204200
Answer:
This situation illustrates Extrapolation.
Step-by-step explanation:
Extrapolation involves predicting the future based on the premise that current or historical trends will persist.
This also entails assuming the methodologies employed to gauge past trends will apply in the future.
For instance, consider projections regarding global population.
In this case, the number of Elvis Presley impersonators has risen from 48 at his death in 1977 to 7,328 today. If we estimate that by 2016, one in four individuals will become an Elvis impersonator based on the growth trend, this exemplifies Extrapolation.
D(2, –4) transforms to D' = (-4, 2)
E(1, –1) changes to E' = (-1, 1)
F(5, 1) shifts to F' = (1, 5)
What is the mathematical representation for a reflection over the line y = x?
rx = y(x, y) = (y, x)
We will require the table mentioned above to respond to this inquiry.
