Answer:
A. Triangles are similar by AA similarity.
Step-by-step explanation:
By the Angle Angle Similarity Theorem, if two pairs of corresponding angles are congruent, then the triangles are similar. As a given, Angle E is 35 degrees and Angle B is 45 degrees, which means that Angle R is 100 degrees; By definition, a triangle is 180 degrees in total. Therefore, Angle R is congruent to Angle A. Angles REB and AEZ are also congruent by the vertical angle theorem.
In conclusion, triangles AEZ and REB are similar by the AA similarity theorem.
Answer:
To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram
Step-by-step explanation:
hope this helps :)
The question is incomplete! The complete question along with answer and explanation is provided below.
Question:
In applying the Poisson probability distribution formula, P(x) equals μx•e−μx!
Briefly describe what the symbol mu represents. Choose the correct answer below.A.The symbol mu is a variable that represents the area of each region.B.The symbol mu is a variable that represents the number of occurrences of the event in an interval.C.The symbol mu is a variable that represents the number of occurrences of the event.D.The symbol mu represents a static value.E.The symbol mu is a variable that represents the mean number of occurrences of the event in the intervals.
Answer:
μ is a variable that represents the mean number of occurrences of the event in the intervals.
Step-by-step explanation:
The Poisson distribution is often used to model the number of occurrences of an event in a certain interval.
P(x, μ)
Where the symbol mu (μ) represents the mean number of occurrences of an event x in a specified interval and the variable x represents a static value.
Therefore, the correct answer is option E, μ is a variable that represents the mean number of occurrences of the event in the intervals.
Answer:
a) 66.1 < μ < 82.7
b) 71.9 < μ < 97.7
c) D. No, because the two confidence intervals overlap, we cannot conclude that the two population means are different.
Step-by-step explanation:
Confidence interval is given by the formula
M±t×(
) where
- M is the sample mean
- t is the corresponding t value for 95 confidence level
- s is the sample standard deviation
- N is the sample size
<u>a. Construct a 95% confidence interval estimate of the mean pulse rate for males.</u>
For men:
M=74.4 t=2.262 s=11.6207 N=10 then confidence interval is:
74.4±2.262×(
) ≈ 74.4±8.3
<u>b. Construct a 95% confidence interval estimate of the mean pulse rate for females.</u>
For women:
M=84.8 t=2.262 s=18.0488 N=10 then confidence interval is:
84.8±2.262×(
) ≈ 84.8±12.9
<u>c. Compare the preceding results. Can we conclude that the population means for males and females are different?</u>
Difference of Population means for males and females are not statistically significant, since confidence intervals overlap.
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