Luis choosing one card from the deck then choosing a second card without replacing the first is a dependent event.
Step-by-step explanation:
Lets define independent and dependent events first.
<u>Independent events:</u>
The events are said to be independent if the probability of occurrence of one event doesn't affect the probability of second event.
<u>Dependent events:</u>
The events in which the probability of occurrence of one event affects the second event's probability of occurrence, are called dependent events.
Now,
When a card is drawn from a deck of cards and NOT replaced, it makes the second event's probability depend on first event as the sample space for second event changes due to the first event.
Hence,
Luis choosing one card from the deck then choosing a second card without replacing the first is a dependent event.
Keywords: Probability, dependent events
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Answer:
Geometric sequence
Step-by-step explanation:
Since the accidents increase by 5% this represents that the number is increasing exponentially . So the sequence is geometric sequence. The geometric sequence can be represented by: a, ar, ar^2, ar^3...
Answer:
- circumference: 62.8 ft
- area: 314 ft²
Step-by-step explanation:
The circumference is given by the formula ...
C = πd
Using the given numbers, the circumference is ...
C = (3.14)(20 ft) = 62.8 ft
__
The area is given by the formula ...
A = πr² . . . . . where radius r is half the diameter
Using the given numbers, the area is ...
A = 3.14(10 ft)² = 314 ft²
Answer:
5
Step-by-step explanation:
Area=pi times radius^2 so
if area=4pi=pi times r^2
4 times pi=r^2 times pi
divide both sdies by pi
4=r^2
square root
2=radius since legnth cannot be negative
radius=1/2 diamters
2 radius=diameter
2(2)=diameter=4
diameter=4