Answer:
C
Step-by-step explanation:
|2x - 2| < 8
it implies that
2x - 2 < 8
2x -2 + 2 < 8 + 2
2x < 10
x < 5
or
-(2x - 2) < 8
-2x + 2 < 8
-2x + 2 - 2 < 8 - 2
- 2x < 6
x > -3 ( the sense of the inequality reverse because I divided by minus)
The solution can be combine to
-3<x<5
Answer:
Daisy
Step-by-step explanation:
Daisy:
12/4=3
3*5=15 white beads
Mindy:
12/6=2
2*7=14 white beads
Answer:
The probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.
Step-by-step explanation:
Let <em>X</em> = number of students arriving at the 10:30 AM time slot.
The average number of students arriving at the 10:30 AM time slot is, <em>λ</em> = 3.
A random variable representing the occurrence of events in a fixed interval of time is known as Poisson random variables. For example, the number of customers visiting the bank in an hour or the number of typographical error is a book every 10 pages.
The random variable <em>X</em> is also a Poisson random variable because it represents the fixed number of students arriving at the 10:30 AM time slot.
The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 3.
The probability mass function of <em>X</em> is given by:

Compute the probability of <em>X</em> = 2 as follows:

Thus, the probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.
Answer:
Greater than or equal to.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
For 3 different side lengths, you need 3 different angles. That eliminates A, B and D.
A: In the case of A, The angles do not add up to 180 so this is not possible. Even if it was, the angles are all the same and the side lengths would be as well.
B: Two angles are the same, therefore, 2 sides will be the same, even though the two sides added together will be larger than the side opposite.
D: Two angles are the same. The angles add to 180. The triangle will have 2 equal sides.
C: Answer. The three given angles add to 180. They are different. Unless the side opposite 93 exceeds the length of the other 2 sides, this forms a triangle with 3 different sides. Using other methods to calculate the answer the other 2 sides do exceed the the base length so everything is fine.