Answer:
0.04 or 4%
Step-by-step explanation:
point estimate of proportion:
(0.6+0.68)/2
1.28/2
0.64
Margin of error:
0.68 - 0.64 = 0.04
0.04×100 = 4%
Answer:
figure 3: 17 cubes.
figure 4: 21 cubes.
figure 5: 25 cubes.
Step-by-step explanation:
Let the nth figure be represented by f(n).
also we are given f(n+1)=f(n)+4.
The number of cubes used in figure 1 i.e. f(1) is 9.
number of cubes used in figure 2 i.e. f(2) is 13
Now we have to find the number of cube used in figure 3, figure 4 and figure 5.
number of cubes in figure 3 i.e. f(3)=f(2)+4=13+4=17.
number of cubes in figure 4 i.e. f(4)=f(3)+4=17+4=21.
number of cubes in figure 5 i.e. f(5)=f(4)+4=21+4=25.
A parabola in analytical geometry is a curve drawn that has either 2 x-intercepts or y-intercepts. You can see visually that it is a parabola if it forms an arc that passes either the x-axis or y-axis twice. Nevertheless, it would have two roots, so the equation must be quadratic.There are 2 possible equations for a parabola:
(x-h)² = +/- 4a(y-k) or
(y-k)² = +/- 4a(x-h), where
(h,k) are the coordinated of the vertex
a is the distance of the focus from the vertex
From the problem, it says that the vertex is at the origin, so the coordinates are (0,0). That means h=0 and k=0. Also, the focus is a=3. Thus, the possible equations for the reflector are
x² = +/- 12y and y² = +/- 12x
Any of those are possible because the problem mentions that it can open anywhere. Therefore, it could open downwards(-) or upwards(+) if it passes the x-axis twice; or to the left(-) or to the right(+) if its passes the y-axis twice.
Answer:
1/3
1/2
1/6
0
Step-by-step explanation:
X + y = 47
x - y = 3
--------------add
2x = 50
x = 50/2
x = 25
x + y = 47
25 + y = 47
y = 47 - 25
y = 22
ur numbers are 22 and 25
