Answer:
7.5 cm
Step-by-step explanation:
40:1
× by 7.5 to get 300 km so do the same to the other side (1) and you get 7.5 cm
sorry if its incorrect
The standard deviation of the population function is 2
<h3>How to determine the standard deviation?</h3>
The given parameters are:
M(x) = 2
M(x²)=8
The standard deviation is calculated using:

Substitute known values

Evaluate the expression

Hence, the standard deviation of the population function is 2
Read more about standard deviation at:
brainly.com/question/15858152
#SPJ1
Answer:

Step-by-step explanation:
Vertex form of a quadratic equation;

Vertex of the parabolas (h, k)
The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;

Now substitute in the given point; ( -1, 9) and solve for a;

Hence the equation in vertex form is;

In standard form it is;

The firts thig we are going to do is create tow triangles using the angles of elevation of Paul and Jose. Since the problem is not giving us their height we'll assume that the horizontal line of sight of both of them coincide with the base of the tree.
We know that Paul is 19m from the base of the tree and its elevation angle to the top of the tree is 59°. We also know that the elevation angle of Jose and the top of the tree is 43°, but we don't know the distance between Paul of Jose, so lets label that distance as

.
Now we can build a right triangle between Paul and the tree and another one between Jose and the tree as shown in the figure. Lets use cosine to find h in Paul's trianlge:



Now we can use the law of sines to find the distance

between Paul and Jose:



Now that we know the distance between Paul and Jose, the only thing left is add that distance to the distance from Paul and the base of the tree:

We can conclude that Jose is 33.9m from the base of the tree.
Answer: Answer in the photo
Step-by-step explanation: