Answer:
Following are the solution to the question:
Step-by-step explanation:

z-score for
will be:
z score for will be:

using excel method to calculate the value.
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To do this, we need to divide the 70 people by the 2 people per minute.

.
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Answer:
6 fingers
Step-by-step explanation:
Let X = the base of the numbers above
If X > 0
Then we have:
325 = 3 * X² + 2 * X¹ + 5 * X°
325 = 3X² + 2X + 5
42 = 4*X¹ + 2*X°
42 = 4X+ 2
And
411 = 4*X²+ 1*X¹ 1*X°
42 = 4X² + X + 1
Since 325 + 42= 11 then
3X² + 2X + 5 + 4X+ 2 = 4X² + X + 1 ------ Collect Like Terms
3X² - 4X² + 2X + 4X - X + 5 + 2 - 1 = 0
-X² + 5X + 6 = 0 ------- Multiply both sides by -1
X² - 5X - 6 = 0 ------- Factorise the Equation
X² - 6X + X - 6 = 0
X(X - 6) + 1( X - 6) = 0
(X + 1)(X - 6) = 0
X + 1 = 0 or X - 6 = 0
X = -1 or X = 6
But X>0
So, X =-1 is invalid
X = 6
The expected number of fingers of the Martian is 6
The triangle formed by the vertices would be equilateral if the sides of the triangle coincide with the diagonals of the square face that defines the cube. See the attached sketch if that description is unclear.
Count the number of equilateral triangles that are possible. Such a triangle will always use up 3 vertices of the cube, and separate 1 vertex from the remaining 4. This means there are as many equilateral triangles as there are corners in the cube: 8.
Count the total number of triangles that can be made. From the 8 available vertices, we only need 3. If we fix 3 vertices, it doesn't matter in which order we connect them to make a triangle, so we count the number of combinations of 8 vertices taking 3 at a time, which is

Then the probability of forming an equilateral triangle is 8/56 = 1/7.