Answer:
14
Step-by-step explanation:
- Cross multiply, then divide: 18 × 7 = 126, 126 ÷ 9 = 14
I hope this helps!
Recall that a circle of radius 2 centered at the origin has equation
where the positive root gives the top half of the circle in the x-y plane. The definite integral corresponds to the area of the right half of this top half. Since the area of a circle with radius
is
, it follows that the area of a quarter-circle would be
.
You have
, so the definite integral is equal to
.
Another way to verify this is to actually compute the integral. Let
, so that
. Now
Recall the half-angle identity for cosine:
This means the integral is equivalent to
Answer: parameter: The proportion of registered voters who will vote Yes on the measure.
Sample: The 1000 registered voters who participated in the study.
Statistic: The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure.
Variable: Yes or No for each registered voter
Population: All registered voters in the US
Data: The list of Yes and No answers that were given by the 1000 participants in the study.
Step-by-step explanation:
Definitions of the given terms:
- Population: Large groups of individuals having similar characteristics as per the researcher's point of view.
- Sample: It is a subset of the population used to represent it.
- Parameter: Measure of particular characteristics in the population.
- Statistic: Measure of particular characteristics in the sample.
- Variable: Characteristics that vary.
- Data: A collected information facts and statistics.
Hence, by using the above definitions, we have
- Parameter: The proportion of registered voters who will vote Yes on the measure.
- Sample: The 1000 registered voters who participated in the study.
- Statistic: The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure.
- Variable: Yes or No for each registered voter.
- Population: All registered voters in the US.
- Data: The list of Yes and No answers that were given by the 1000 participants in the study.
