Answers:
1)
Mean = $349.2
Median = $352.5
Range = $210
2)
$499.90
3)
$355
I have attached a photo of the work written for this question:
<h3>
Answer: 6</h3>
Explanation:
List list the multiples of each value
- multiples of 2 = {2, 4, 6, 8, 10, ...}
- multiples of 3 = {3, 6, 9, 12, 15, ...}
- multiples of 6 = {6, 12, 18, 24, ...}
In each list, we see 6 show up. This is the smallest multiple that is in common; therefore, the LCM is 6
Side note: The LCM is useful to help add and subtract fractions.
5/6
The greatest common denominator of 45 and 54 is 9.
45/(divided) 9 = 5
54/(divided) 9 = 6
Answer:
0.9606 = 96.06% probability that the system will function tomorrow
Step-by-step explanation:
For each component, there are only two possible outcomes. Either it works, or it does not. Components are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Probability of a component working:
0.7 of 0.2(rain)
0.9 of 1 - 0.2 = 0.8(no rain). So
0.86 - 86% probability that the system will function tomorrow
6 components:
This means that 
What is the probability that the system will function tomorrow
This is
In which
0.9606 = 96.06% probability that the system will function tomorrow
Answer:
see below
Step-by-step explanation:
A: 2x² - 3x - 5
(2x - 5)(x + 1)
B: Set the factored equation equal to zero and solve for x.
(2x - 5)(x + 1) = 0
2x - 5 = 0
2x = 5
x = 5/2
x + 1 = 0
x = -1
The x-intercepts are 5/2 and -1
C) To find the end behavior, you need to look at the term in the unfactored equation with the highest exponential number. For this equation, that is 2x². Since the exponent is positive, both ends of the graph will point in the same direction. Because the leading coefficent is positive, the graph will point upwards. The end behavior of the graph is that as the x-values approach both ∞ and -∞, the function approaches ∞.
D) Since we know that the x-intercepts are 5/2 and -1, you can plot these points. You also know that the graph will be in an upward U shape. Plug in a couple x-values and plot them to make the graphing of the equation more accurate.
