Answer:
<u>Mode = 1</u>
Step-by-step explanation:
<u>Relation between the Central Measures of Tendency</u>
- Mean, Median, and Mode are commonly referred to as the Central Measures of Tendency
- The formula between the three is given by :
- ⇒ <u>Mode = 3Median - 2Mean</u> or <u>Mode + 2Mean = 3Median</u>
<u></u>
<u>Solving</u>
- Median = 5
- Mean = 7
Therefore,
- Mode = 3(5) - 2(7)
- Mode = 15 - 14
- <u>Mode = 1</u>
Answer: 5.4
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Explanation:
Angle D = 43 is the given reference angle
side FE = 5 is the side opposite the reference angle (since its the leg furthest away from angle D)
We want to find side DE which is the other leg. This is the adjacent side with angle D as the reference angle
Use the tangent rule
tan(angle) = opposite/adjacent
tan(D) = FE/DE
tan(43) = 5/DE
DE*tan(43) = 5
DE = 5/tan(43)
DE = 5.36184355 <<-- use a calculator here; this is approximate
DE = 5.4 <<-- round to the nearest tenth
That's why 5.4 is the answer
B. The complement is the probability of an event NOT happening.
