What is the product of 5.86 × 10–7 and 3.1 × 104 1. Write the expression: (5.86 × 10–7)(3.1 × 104) 2. Rearrange the expression:

Answer:

$10

Step-by-step explanation:

Each hardcover book costs $12, resulting in a total of $60 for five of them out of $100. The remaining four paperbacks at $10 each amount to a total of $40.

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Calculating (-15)/3 gives -5.

The operation (-15)/3 can be visualized using red tiles for negatives and yellow for positives. The problem asks how many tiles remain when dividing 15 negative tiles among three groups equally. Using red tiles signifies the negative value involved. The division yields 5 red tiles in each group, establishing that the overall answer is negative.

{chocolate, strawberries, peanuts} Explanation: Given three sets, let A = {vanilla, chocolate, hot fudge, strawberries, sprinkles, peanuts, whipped cream}, let B = {vanilla, hot fudge, sprinkles, whipped cream}, and let C = {chocolate, hot fudge, peanuts, whipped cream}. Thus, the universal set U = A ∪ B ∪ C = {vanilla, chocolate, hot fudge, strawberries, sprinkles, peanuts, whipped cream}. B' consists of the elements found in U but not in B, which results in: {chocolate, strawberries, peanuts}.

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.

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Response:

d. (63.9, 66.7)

This indicates that the 90% confidence interval is (a,b) = (63.9, 66.7)

Detailed explanation:

A confidence interval refers to a set of values within which there's a defined probability that a parameter’s value falls.

The formula for confidence interval in statistics can be represented as:

x +/- zr/√n

Here, we have;

Mean x = 65.3

Standard deviation r = 5.2

Sample size n = 36

Confidence interval level = 90%

z (for 90% confidence) = 1.645

Substituting our values gives us;

65.3 +/- 1.645(5.2/√36)

65.3 +/- 1.645(0.866667)

65.3 +/- 1.42567

65.3 +/- 1.4

Results in (63.9, 66.7)

This confirms that for a 90% confidence interval, (a,b) = (63.9, 66.7)