Someone please help me ASAP!! (domain and range)
1 answer:
Answer:
On a keyboard you can type -7 <= x <= 2
The symbol "<=" without quotes means "less than or equal to".
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Explanation:
The domain is the set of all allowed x inputs of a function or relation.
Start at the left-most point on the diagonal line. Draw a vertical line straight down to the x axis. You should arrive at x = -7. Do the same for the right-most point on the diagonal line. You should arrive at x = 2. Refer to the diagram below.
Shade everything between x = -7 and x = 2. This visually shows the set of all values between -7 and 2, including both endpoints. We include both endpoints due to the filled in circles (as opposed to open holes). The diagram shows the domain as the blue segment on the x axis.
To mathematically describe "numbers between -7 and 2 including both endpoints", we can write .
We can say "x is greater than or equal to -7 AND x is less than or equal to 2", but for me it's easier to say "x is between -7 and 2 including both endpoints".
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Answer:
a) 0.6517; b) 0.9115; c) No
Step-by-step explanation:
For part a, we will use the formula for a z score of an individual:
Using a z table, we see that the area under the curve to the left of this value is 0.3483. However, we want the probability greater than this, which is the area to the right of this value under the curve; this means we subtract from 1:
1-0.3483 = 0.6517
For part b, we will use the formula for a z score of the mean of a sample:
Using a z table, we see that the area under the curve to the left of this value is 0.0885. This means the area under the curve to the right of this value is
1-0.0885 = 0.9115
For part c,
The fact that the probability that any 12 men on the elevator will have a mean weight greater than 167, putting their total weight above 2004 pounds, is 91% means the elevator does not have the appropriate limit. There is a high chance the maximum will be exceeded.