The formula for an average of three numbers is (x+y+z)/3. So if V equals the average, then we find the formula
V = (x+y+z)/3
We are now looking for x. We can divide each of the variables in the parentheses by 3, making the formula
V = x/3 + y/3 + z/3
So now bring the unwanted variables to the same side as V.
V - y/3 - z/3 = x/3
Now multiply both sides by 3 to find x.
3V - y - z = x
x = 3V - y - z
Answer:
9.1
Step-by-step explanation:
The lower quartile, denoted as Q1, gives the value of the lower quartile, from a box plot, the value of the lower quartile is the value at the starting point of the box. In the box plot given for the windspeed in Chicago, the starting point of the box is the point marked with the reading 9.1. Hence we can conclude that the lower quartile is 9.1
We need to compute for the circumference of the circle and get 75% of the value because only 3/4 of the figure is a circle. 1/4 is substituted by the triangle.
I am assuming that the 35 yards is the radius of the circle.
Circumference = 3.14 * 2 * 35 yards = 219.80 yards
3/4 of the circumference = 219.80 * 3/4 = 164.85 yards
Perimeter = 164.85 yards + 45 yards = 209.85 yards
Ran round the field 3 times.
209.85 yards * 3 times = 629.55 yards
Answer:
Step-by-step explanation:
The vertices lie on the x-axis, as is determined by their coordinates. This makes the center of this hyperbola (0, 0) because the center is directly between the vertices. The fact that the foci also lie on the x-axis tells us that this is the main axis. What this also tells us is which way the hyperbola "opens". This one opens to the left and the right as opposed to up and down. The standard form for this hyperbola is:
and so far we have that h = 0 and k = 0.
By definition, a is the distance between the center and the vertices. So a = 5, and a-squared is 25. So we're getting there. Now here's the tricky part.
The expressions for the foci are (h-c, k) and (h+c, k). Since we know the foci lie at +/-13, we can use that to solve for c:
If h+c = 13 and h = 0, then
0 + c = 13 and c = 13.
We need that c value to help us find b:
and
and
and
so
b = 12. Now we're ready to fill in the equation:
and there you go!