Answer:
The correct answer is 2030.
Step-by-step explanation:
To start we must analyze the information we have.
We know that a city has 8000 inhabitants and that each year this number increases by 0.5%. That means that <u>each year it has 40 more inhabitants</u>:
(8000 . 0,5) : 100 = 40
Having this information we could do a cross multiplication:
1 year ------- 40 inhabitants
x years ------- 81200
81200 = 40.x
x = 81200 : 40
x = 2030
In this way we can verify that the correct answer is 2030.
Answer:
a. Check the attached image
b. The Pr(Y > 2) = ½
c. The mean is 2.4
d. The standard deviation is: 2.72
e. The exact value is 1 because it is certain from the given data that any probability will fall within that range.
Step-by-step explanation:
a. An image showing the step by step solution is attached.
b. P(Y > 2) = P(3) + P(4)
= 2/10 + 3/10 = 5/10 = ½
c. The mean is 2.4
d. The standard deviation is: 2.72
e. Check the attached image for the steps.
Intersection of the first two lines:
Multiply the first equation by 4 and the second by 5:
Subtract the two equations:
Plug this value for y in one of the equation, for example the first:
So, the first point of intersection is
We can find the intersection of the other two lines in the same way: we start with
Use the fact that x and y are the same to rewrite the second equation as
And since x and y are the same, the second point is
So, we're looking for a line passing through and . We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be
In the attached figure, line is light green, line is dark green, and their intersection is point A.
Simiarly, line is red, line is orange, and their intersection is B.
As you can see, the line connecting A and B is the red line itself.
3/5 or 60% of the tank will be filled in an hour.
Triangle ABD and triangle CDB are similar because:
-it is given that angle A and angle C are equal, both 90
-angle ABD and angle CDB are equal because they are alternate interior angles
- side DB and side DB are the same length
- two triangles are equal because of AAS