A line contains points M(1, 3) and N(5, 0). What is the slope of MN? negative StartFraction 4 Over 3 EndFraction negative StartF

Kevin, since the problem states a number (x) minus 20, and given that 20 is mentioned later, it indicates that it is the second number involved here.

Response:

Option E is the right choice.

A connection seems evident between the app and the reduction of daycare-related illnesses.

Step-by-step breakdown:

Research involved 1200 randomly chosen parents, revealing that the kids of parents who utilized the app had an average of 10 fewer cases of daycare illnesses compared to those whose parents didn’t download it during the study duration.

Reviewing the options individually

a. Since using the app appears to lower child sickness, its effectiveness should extend to decreasing child neglect as well.

The study indicates a reduction in daycare-related illnesses for those using the app but does not address neglect, making this conclusion incorrect.

b. Using the app will ensure daycare employees do not transmit germs.

The research didn't examine how the app functions, nor whether it stops daycare workers from transmitting germs. Thus, this conclusion lacks accuracy.

c. The analysis was performed as an experiment, not an observational study.

In reality, it was primarily observational. Such studies document results without manipulation by the researchers.

d. The sample size of the study was inadequate for drawing conclusions.

A pool of 1200 is sufficiently large to reflect the wider population’s characteristics. Therefore, this assertion is also incorrect.

e. A link seems to exist between the app and reduced transmission of daycare illnesses.

From the provided details, it’s clear that the findings of this study depict a link between using the app and a marked decrease in daycare-related illnesses among children of those who have downloaded it. Hence, the app likely plays a role in lowering the risk of such illnesses in their children.

Hope this is helpful!

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.

In total, there are 10 trucks and 18 tractors. I arrived at this by multiplying 10 by 1.8, which equals 18. Adding the number of trucks and tractors gives a total of 28.

Response:

The correct option is: C.

C. {(-2, 4), (-1, 2), (0, 0), (1, -2)}

Detailed explanation:

A strong negative correlation is present--

In this context, a negative correlation signifies that as one variable increases, the other decreases, and vice versa.

This indicates an inverse relationship between the two variables.

Furthermore, this relationship is considered strong if the data points cluster above the line of best fit.

Thus, the data set illustrating a robust negative correlation is:

C. {(-2, 4), (-1, 2), (0, 0), (1, -2)}

In this scenario, the x-values increase consistently by 1 (i.e., -2, -1, 0, 1), while the corresponding values decrease steadily by 2 (i.e., 4, 2, 0, -2).

As a result, a linear correlation emerges with all points positioned above the line, and the line of best fit exhibits a negative slope.

Thus, the data shows a strong negative correlation.