Answer:
15
Step-by-step explanation:
(0 - 9)^2 + (- 10 - 2)^2
(-9)^2 + (-12)^2
81 + 144
sq rt of 225
The above figure can be formed into a cube.
This is for any polyhedron that does not intersect itself. The Euler's formula states that the number of faces plus the number of vertices or corner points less the number of edges is always equal to 2.
Faces + Vertices - Edges = 2
A cube has 6 faces, 8 vertices, and 12 edges.
Euler's formula: 6 + 8 - 12 = 2 ⇒ 14 - 12 = 2 ⇒ 2 = 2
Answer:
We reject the null hypothesis.
Step-by-step explanation:
We are given the following information in the question:
Sample size, n = 71
Population variance is known.
Level of significance, α = 0.08
The null and alternate hypothesis are:
We use one-tailed z test to perform this hypothesis.
Formula:
Now, 
Since,
We fail to accept the null hypothesis and reject it and accept the alternate hypothesis.
Answer:
-1, 6
Step-by-step explanation:
x + y = 5
xy = -6
Take first equation and rewrite it. y = -x + 5
Then substitute the new equation in the second one.
x(-x + 5) = -6
-x^2 + 5x + 6 = 0
Divide by -1
x^2 - 5x - 6
(x + 1)(x - 6) = 0
x = -1, 6
