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vfiekz [6]
3 years ago
7

Solve for r in c= pie r

Advanced Placement (AP)
1 answer:
lyudmila [28]3 years ago
8 0
Here you go. The answer is r = c/ pi. Simply divide both side by pi, in order to isolate the variable r.
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Is this study an experiment or an observational study? Explain your answer.
seraphim [82]

Answer:

Explanation:

Hello!

Full text in the attachment.

a)

Little reminder:

An observational study is one where the investigator has no control or intervenes on it. He just defines the variable of interest and merely collects and documents the information. These types of studies are usually made as precursors to a more formal experimental study, to have an idea of what's to be expected from the population.

An experimental study or experiment is one where the investigator intervenes by defining the variable of interest and artificially manipulates the study factor. It is also one of its characteristics the randomization of cases or subjects in groups (two or more, depending on what is the hypothesis of study).

This is an example of a double-blind experiment, in which neither the experimental subjects (volunteers students) nor the researcher (physician). Aside from the fact that the subjects were controlled to make sure they followed the assigned treatment, no other factors were controlled (sleeping habits, eating habits, previous medical conditions)

Still, there is enough intervention to classify it as an experimental study.

b)

You have calculated the probability of randomly selecting a student that contracted the flu. There is no specification about the group the student belongs, you have to calculate the probability of the total of students that contracted the flu.

Let F represent the event that "the student contracted the flu", you can calculate the probability as:

P(F)= \frac{total students that contracted the flu}{total students that participated in the trial}= \frac{633}{808}= 0.78

c)

In this case, you have to calculate the probability that the student contracted the flu, given that he was assigned to the "Vitamin C" group.

This is a conditional probability since you already know that the student was from the "Vitamin C" group (Symbolized V), instead of calculating the probability using the size of the total of volunteers, you'll use the total of students assigned to that group:

P(F/V)= \frac{Students that contracted the flu and took Vitamin C}{Total of students that took Vitamin C}= \frac{302}{403} = 0.75

d)

Two events are independent when the occurrence of one of them doesn't modify the probability of occurrence of the other one. In this case, we have the events F: "The student contracted the Flu" and V: "The student took vitamin C" if F and V are independent the probability of F should stay the same even whether or not he has taken vitamin C:

P(F)=P(F/V)

But as calculated in items b. and c. these probabilities are different, meaning that the events are not independent.

e)

The claim of the health expert is that "Vitamin C reduces the occurrence of the flu in the population of volunteer students, i.e. the number of students that contracted the flu given that they took vitamin C will be less than the number of students that contracted the flu given that the took the placebo.

The parameters of the study will be the population proportions of students with the flu that took vitamin C, p₁, and the population proportion of students with the flu that took the placebo, p₂.

H₀: p₁ ≥ p₂

H₁: p₁ < p₂

f)

Let's assume that α: 0.05, using the p-value approach, the decision rule is:

p-value ≤ α, reject the null hypothesis.

p-value > α, do not reject the null hypothesis.

The p-value: 0.0096 is less than α: 0.05, the decision is to reject the null hypothesis. At a 5% significance level, there is significant evidence to reject the null hypothesis, then the population proportion of students that contracted the flu given that they took t vitamin C is less than the proportion of students that contracted the flu given that they took the placebo.  You can conclude that the expert is correct and taking vitamin C reduces the occurrence of the flu among the students.

6 0
3 years ago
The national debt in 2000 was $5.7 trillion and in 2017 it was $20 trillion. What are the three main reasons for expansion in de
Blababa [14]

Answer: tax cuts, increases in military spending, and recessions

3 0
3 years ago
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How much us oil demand is represented by large oil tankers?
Pani-rosa [81]
<span>The oil demand that is represented by large oil tankers is 2 million. The booming of business or oil tankers paved way to this happening. Many oil companies went down and maritime tankers closed during that period. A 2 million worth of oil is demanded to be represented by oil tankers that made the situation worst.</span>
8 0
3 years ago
WILL GIVE BRAINIEST!!!
alisha [4.7K]
I would say the attorney is right?? Not sure but that’s my guess
4 0
3 years ago
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Which of the following pairs of angles is not necessarily congruent
Alex

Answer:

E. \angle 3 and \angle 5.

Explanation:

According to the figure, we have the following conclusions:

1) \angle 1 and \angle 2 are vertical opposite angles. (m \angle 1 = m \angle 2)

2) \angle 2 and \angle 3 are internal alternate angles. (m \angle 2 = m\angle 3)

3) \angle 2 and \angle 4 are corresponding angles. (m\angle 2 = m\angle 4)

4) \angle 3 and \angle 4 are vertical opposite angles. (m \angle 3 = m \angle 4)

But, \angle 3 and \angle 5, since m \angle 3 + m\angle 6 + m\angle 5 = 180^{\circ}, where \angle 3 is an acute angle and \angle 6 is a right angle, and m \angle 4 + m \angle 5 = 90^{\circ}. Then,

m\angle 5 = 90^{\circ} -m\angle 4.

m\angle 5 = 90^{\circ}-m\angle 3

Hence, the right answer is E.

8 0
3 years ago
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