Use the two graphs to help complete the statements below
2 answers:
A) Rate: 5 lawns per day
B) Slope: 5 lawns per day
Step-by-step explanation:
A)
For this graph, we want to find the following ration:
where
- change in lawns moved is the change in the variable along the y-axis, since the lawns moved is represented on the y-axis
- change in time is the change in the variable along the x-axis, since time is represented along the x-axis
By taking the last point in the graph (6,30) and the point (0,0), to have the most accurate measurement, we have:
t = 6 days
lawns moved = 30
Therefore, the rate is
lawns per day
B)
Here in graph B, similarly we want to find the slope of the curve, which is given by
where
is the change in the y-variable
is the change in the x-variable
Taking the last point in the graph (6,30) and the point (0,0), in order to get the most accurate measurement, we have:
Therefore the slope is
lawns per day
Learn more about slope of a graph:
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Answer:
And if we solve for a we got
And for this case the answer would be 35185 the lowest 1% for the salary
Step-by-step explanation:
Let X the random variable that represent the salary, and for this case we can assume that the distribution for X is given by:
Where and
And we want to find a value a, such that we satisfy this condition:
(a)
(b)
We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.01 of the area on the left and 0.99 of the area on the right it's z=-2.33. On this case P(Z<-2.33)=0.01 and P(z>-2.33)=0.99
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
And for this case the answer would be 35185 the lowest 1% for the salary