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Check the one-sided limits:
If <em>f(x)</em> is to be continuous at <em>x</em> = 5, then these two limits should have the same value, which means
5<em>k</em> = 200
<em>k</em> = 200/5
<em>k</em> = 40
Answer:
A)
B)
Step-by-step explanation:
A survey of 46 college athletes found that
- 24 played volleyball,
- 22 played basketball.
A) If we pick one athlete survey participant at random, the probability they play basketball is
B) If we pick 2 athletes at random (without replacement),
- the probability we get one volleyball player is
- the probability we get another basketball player is
(only 45 athletes left).
Thus, the probability we get one volleyball player and one basketball player is
Answer:
GCF = 5
Step-by-step explanation:
Given:
The numbers are given as:
10, 30 and 45
A factor of a number is a number by which the given number is evenly divisible.
Example: 2 is a factor of 4 as . So, 4 is evenly divisible by 2 and hence 2 is a factor of 4.
Now, factors of 10 = 1, 2, <u>5</u>, 10.
Factors of 30 = 1, 2, 3, <u>5</u>, 6, 10, 15, 30.
Factors of 45 = 1, 3, <u>5</u>, 9, 15, 45.
So, the greatest common factor in all the three numbers is 5.
Hence, the greatest common factor of 10, 30 and 45 is 5.