The graph represents a functional relationship.
2 answers:
Answer:
The value of 4 is an input of the function
Step-by-step explanation:
Define the variables
Let
x ----> the independent variable or input value
y ----> the dependent variable or output value
Looking at the graph
The domain of the graph (all possible values of x) is equal to the interval
[1,∞)
All real numbers greater than or equal to 1
The range of the function (all possible values of y) is equal to the interval
(-∞,3]
All real numbers less than or equal to 3
therefore
The value of 4 is an input of the function
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The normal distribution curve for the problem is shown below
We need to standardise the value X=405.5 by using the formula
We now need to find the probability of z=0.32 by reading the z-table
Note that z-table would give the reading to the left of z-score, so if your aim is to work out the area to the right of a z-score, then you'd need to do:
from the z-table, the reading
gives 0.6255
hence,
The probability that the mean weight for a sample of 40 trout exceeds 405.5 gram is 0.3475 = 34.75%
We need to standardise the value X=405.5 by using the formula
We now need to find the probability of z=0.32 by reading the z-table
Note that z-table would give the reading to the left of z-score, so if your aim is to work out the area to the right of a z-score, then you'd need to do:
from the z-table, the reading
hence,
The probability that the mean weight for a sample of 40 trout exceeds 405.5 gram is 0.3475 = 34.75%