Consider the following equations: f(x) = 2x – 2 and g(x) = 5 - x
1 answer:
Answer:
The difference in slopes of is = 3
We can say slope of is positive and 3 more than slope of
while slope of
is negative.
Difference of y-intercepts of is = -7
We can say the y-intercept of is positive and 7 units above
while y-intercept of
is negative.
Step-by-step explanation:
Given equation:
We need to find the difference of slopes and y-intercepts of the given equations.
The standard form of a slope intercept equation of line is given by:
where represents slope and
represents y-intercept of line.
Writing the given equations in standard form to find slope and y-intercept.
Slope = 2 and y-intercept =-2
Slope = -1 and y-intercept =5
The difference in slopes of is =
We can say slope of is positive and 3 more than slope of
while slope of
is negative.
Difference of y-intercepts of is =
We can say the y-intercept of is positive and 7 units above
while y-intercept of
is negative.
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Answer:
a)
And we can find this probability like this:
b)
And using the z score we got:
c)
And if we use the continuity correction we got:
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".
Continuity correction means that we need to add and subtract 0.5 before standardizing the value specified.
Part a
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
Part a
For this case we want to find this probability:
And if we use the z score given by:
We got this:
And we can find this probability like this:
Part b
For this case we want this probability:
And if we use the continuity correction we got:
And using the z score we got:
Part c
For this case we want this probability:
And if we use the continuity correction we got: