It's a conditional probability
P( getting a given number AND getting again the same number)
P(of getting any number) =1/6
P(of getting once again the same number) 1/6 x 1/6 = 1/36
Given that the cubical piece has side (s) 7 mm, and a cylindrical hole of diameter (d) as 3 mm.
The volume of the piece can be calculated as,

It is mentioned that the material costs $207 per cubic meter, so the cost (c) of 1 piece is calculated as,

This is the cost (in dollars) for 1 piece.
Given that the manufacturer wants to produce 1,000,000 such pieces, so the total cost (TC) is calculated as,

Thus, the total prototypes will cost around $60.75
Answer:
The vertex of the graph is located at the point (3,6)
Step-by-step explanation:
Here, we want to know where the vertex of the equation if plotted will be
To get this, what we have to do is to equate the expression that we have in the absolute value to zero
After this, we then proceed to solve for the value of x
We have this as;
x -3 = 0
hence;
x = 0 + 3
x = 3
to get the y-value of the vertex, we look at the value at the side of the absolute value
This value is 6 and thus, the y-value of the vertex point is 6
So the coordinates of the vertex is (3,6)
Given:
6 male professores
9 female professores
5 male teaching assistants
6 female teaching assistants
Sol:.

N (professors)

N(Male)

N(professors and male)

N(professors OR male) = N(professors) + N(males) -N(professor OR male)

N(People to choose from)

Then probablitiy is:

Then the probability is 10/13
Answer:
19) (
)^2 = 
20) -
= -81
21)
= 16
Step-by-step explanation:
The only wrong ones are
19) (
)^2 = 
20) -
= -81 ... negative is not inside a parenthesis that's why it is still negative
21) you can add another way is
= 16
Everything else looks good. Great job!