Response:
Detailed explanation:
Hello!
Stratified sampling involves the categorization of the population into subgroups based on pre-established criteria for the study. These subgroups consist of homogeneous units concerning the relevant characteristics. In this instance, individuals in the groups will represent only one of the two potential opinions (support or not support) and not both.
The researcher determines the sample size desired, considering several factors such as finances, material availability, and accessibility to experimental subjects (for instance, if they are endangered species, larger sample sizes may not be feasible).
One might conduct proportionate stratified sampling by selecting a proportion of respondents who answered "yes" along with those who answered "no."
In this sampling method, taking a specific proportion from each subgroup allows for a more straightforward extrapolation of results to the overall populations. For example, if you needed a sample size of n = 20, each stratum would ideally contain half, meaning 10 from the “yes” group and 10 from the “no” group.
I hope this is helpful!
The complete question reads:
Peter created two rays, AC and AP, sharing a common vertex at point A. Which of the following statements
might accurately describe Peter's drawing?
I. AC and AP are parallel.
II. PAC represents an angle.
III. AC and AP are at right angles.
A. I and II
B. II and III
C. I and III
D. I, II, and III
Answer:
Option B: II & III
Step-by-step explanation:
We know Peter has drawn rays AC and AP.
Since the point A is shared as the endpoint, it indicates an angular relationship at this common point.
This angle could potentially be 90°, suggesting that rays AC and AP may be perpendicular.
Thus, the valid statements that characterize his drawing are: II & III.
Part A:
The probability that all three strangers have their birthdays on a Wednesday is calculated as
Part B:
The probability that the birthdays of the three individuals fall on distinct days throughout the week is calculated as
Part C:
The probability that none of the three have their birthdays on a Saturday is determined by
The behavior of the spring can be described using either a sine or cosine function. The spring's maximum displacement is 6 inches, occurring at t=0, which we will define as the positive peak. Therefore, we can express the function as:
6sin(at+B). The spring's period is 4 minutes, which means the time factor in the equation must complete a cycle (2π) in 4 minutes. This gives us the equation 4min*a=2π, leading to a=π/2. Generally, a=2π/T where a is the coefficient and T is the period. For B, since sin(π/2)=1, we determine B=π/2 because at t=0, the equation becomes 6sin(B)=6. Therefore, we substitute to form f(t)=6sin(πt/2+π/2)=6cos(πt/2)
due to trigonometric relations.
Answer:
$858.
Detailed explanation:
The monthly rent for the 3-bedroom apartment is $936 under normal circumstances.
The landlord now provides one month free as part of a 12-month tenancy. Signing the lease means paying rent for only 11 months. Therefore, the total annual rent after applying this deal is:
To find the adjusted monthly payment, divide the total amount $10,296 by 12 months.
Hence, the revised monthly rent comes out to be $858.
