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IceJOKER [234]
2 years ago
8

Match the vocabulary words with the right definitions. 1. a relation where for any given input value there is only one output va

lue mapping diagram 2. a group of two numbers written in an order (x, y) so that the first value represents a horizontal position and the second number represents a vertical position ordered pair 3. the independent values, or x values domain 4. a way of representing how the members of one group are related to the members of another group input 5. a value substituted in for the variable in a function which generates another value (the output) function
Mathematics
1 answer:
pochemuha2 years ago
3 0

Answer:

Step-by-step explanation:

1. Relation - a set of ordered pairs

2. Vertical line test - a test used to determine if a graph is a function; states that a vertical line can only go through one point on the graph to be a function

3. Function - a relation in which for any given input value, there is only one output value

4. Output -  value generated by a function when an input value is substituted into the function and evaluated

5. Ordered pair - a group of two numbers written in the form (x, y) where the x value represents a horizontal position and the y value represents a vertical position

6. Mapping Diagram - a table or diagram that represents a mathematical relation

7. Input - a value that is substituted in for the variable in a function in order to generate an output value

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According to an​ airline, flights on a certain route are on time 80 ​% of the time. suppose 10 flights are randomly selected and
natulia [17]
<span>(a) This is a binomial experiment since there are only two possible results for each data point: a flight is either on time (p = 80% = 0.8) or late (q = 1 - p = 1 - 0.8 = 0.2).
​(b) Using the formula:</span><span>
P(r out of n) = (nCr)(p^r)(q^(n-r)), where n = 10 flights, r = the number of flights that arrive on time:
P(7/10) = (10C7)(0.8)^7 (0.2)^(10 - 7) = 0.2013
Therefore, there is a 0.2013 chance that exactly 7 of 10 flights will arrive on time.
​(c) Fewer than 7 flights are on time means that we must add up the probabilities for P(0/10) up to P(6/10).
Following the same formula (this can be done using a summation on a calculator, or using Excel, to make things faster):
P(0/10) + P(1/10) + ... + P(6/10) = 0.1209
This means that there is a 0.1209 chance that less than 7 flights will be on time.
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1 - 0.1209 = 0.8791.
So there is a 0.8791 chance that at least 7 flights arrive on time.
(e) For this, we must add up P(5/10) + P(6/10) + P(7/10), which gives us
0.0264 + 0.0881 + 0.2013 = 0.3158, so the probability that between 5 to 7 flights arrive on time is 0.3158.
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