Answer:
a) 0.25
b) 52.76% probability that a person waits for less than 3 minutes
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
In which is the decay parameter.
The probability that x is lower or equal to a is given by:
Which has the following solution:
The probability of finding a value higher than x is:
In this question:
a. Find the value of λ.
b. What is the probability that a person waits for less than 3 minutes?
52.76% probability that a person waits for less than 3 minutes
Simplify. Combine like terms:
In the first question, combine terms with the same variables:
2a - 4b + 6b - 3a = 2a - 3a - 4b + 6b = -a + 2b
-a + 2b is your answer
In the second question, do the same:
3a + 5b - 6a + 3b = 3a - 6a + 5b + 3b = -3a + 8b
-3a + 8b is your answer
hope this helps
Answer:
Step-by-step explanation:
<u>ΔABD ≅ ΔAEC because:</u>
- AD = AC = 17
- ∠A is common and congruent to itself
We have two sides and the included angle congruent - SAS
<u>Corresponding parts of congruent figures are congruent:</u>
Now, <u>∠CED is exterior angle and exterior angle is same as sum of non-adjacent interior angles:</u>
- m∠CED = m∠A + m∠C
- 79° = 42° + p°
- p = 79° - 42°
- p = 37°
Answer:
$35.96
Step-by-step explanation:
19.72 divided by 3.4 = 5.8
5.8*6.2 =35.96
Answer: C is about 100.53
Explanation:
C=2πr
C=2(3.14)(16)
C is about 100.53