The relationship between numbers in list X and list Y follows the rule Y = X +2.05 what diagram shows this relationship
1 answer:
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
y=x+2.05
This is a linear equation ( equation of a line)
To graph the line find the intercepts
<u>The y-intercept</u> is the value of y when the value of x is equal to zero
For x=0
y=0+2.05=2.5
The y-intercept is the point (0,2.05)
<u>The x-intercept</u> is the value of x when the value of y is equal to zero
For y=0
0=x+2.05
x=-2.05
The x-intercept is the point (-2.05,0)
To graph the line plot the intercepts and then join the points
using graphing tool
see the attached figure
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Answer:
And we can find this probability with the following difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the number of gallons of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the following difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.