Answer:
30). 68°
31). 35.5°
Step-by-step explanation:
Question (30).
If WZ is the angle bisector of ∠XWY.
∠XWZ ≅ ∠YWZ
Therefore, measure of both the angles will be equal.
m∠XWZ ≅ m∠YWZ = 68°
and m∠XWY = 2(68°) = 136°
Question (31)
If WZ is an angle bisector of ∠XWY,
∠XWZ ≅ ∠YWZ
Therefore,
m∠XWZ = m∠YWZ = 
m∠XWZ = m∠YWZ = 
m∠XWZ = m∠YWZ = 35.5°
The largest stem is 3, found in the bottom row. This represents 300 thousand or 300,000.
The largest leaf in the bottom row is 7 and that represents
7*(10 thousand) = 70 thousand = 70,000
Adding the stem and leaf values gets us
300,000 + 70,000 = 370,000
<h3>The most expensive home sold was $370,000</h3>
Answer:
15/56
Step-by-step explanation:
5 people have a license
3 people don't
? = Probability that first person has a license and second does not
We can divide the problem into two sections, the first being the probability of the first person having a license, and the second section is the probability that the second person doesn't have a license.
P1 = Probability of the first person having a license, there are 5 out of 8 person having a license, thus P1 = 5/8.
P2 = Probability of the second person having a license. There are 3 people not having a license, out of 8-1 = 7 persons available, since one is taken already from the first choice, therefore P2 = 3/7.
P1 and P2 are dependent events, thus P(1,2) = P1 * P2.
P(1,2) = P1 * P1 = 5/8 * 3/7 = 15/56
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Answer:
- Elanor's standardized score is 1.19
- Gerald's standardized score is 0.72
- Elanor has higher score
Step-by-step explanation:
To compare Elanor's and Gerald's math scores, we need to standardize them and calculate their z-scores.
z score can be calculated using the formula
z=
where
- M is the mean score of the exam
- s is the standard deviation of the exam
Elanor's standardized score is:
z(e) =
≈ 1.19
Gerald's standardized score is:
z(g)=
≈ 0.72
Since z(e) > z(g), Elanor has higher score