∠ROT=160°
∠SOT=100°
Now we calculate ∠SOR as follows: ∠SOR = ∠ROT - ∠SOT
∠SOR = 160° - 100°
∠SOR = 60°
It is stated that the angles ROQ, QOS, and POT all have the same measure.
Thus, ∠SOQ + ∠QOR = 60°
Since ∠SOQ equals ∠QOR, we can express this as:
2∠SOQ = 60°
From which we find ∠SOQ = 60° ÷ 2
∠SOQ = 30°
Also, ∠POT = ∠SOQ = ∠ROQ = 30°
Answer:
The p-value for this test is 0.031. It should be interpreted as "There is a 96.9% likelihood that the actual average of soup sales at the new site exceeds 75 bowls it daily"
Step-by-step explanation:
The p-value"In hypothesis testing, the p-value, or probability value, represents the likelihood of obtaining test outcomes at least as extreme as the observed results, given that the null hypothesis holds true"
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!
Answer:
D
Step-by-step explanation:
When you multiply 3/4 by A, B, or C, it results in a decimal value; however, multiplying 3/4 by 8 yields 6, which is a whole number.
We understand that
1 foot corresponds to 12 inches.
Step 1
Dimensions of the plywood needed are
(12+3+3) x (18+3+3)------> 18 inches x 24 inches.
Step 2
Convert inches into feet:
18 in-------> 18/12=1.5 ft.
24 in------> 24/12=2 ft.
Step 3
To calculate the area of plywood needed:
A=b*h------> 1.5*2------> A=3 ft².
The final result is
3 ft²
