Answer:
The probability that all 4 units are good is 10.66%.
Step-by-step explanation:
Given that a shipement of 14 microwave ovens contains six defective units, and a vending company has ordered 4 of these units and selection will be random, to determine what is the probability that all 4 units are good the following calculation must be performed:
14 - 6 = 8
8/14 x 8/14 x 8/14 x 8/14 = X
0.5714 x 0.5714 x 0.5714 x 0.5714 = X
0.1066 = X
0.1066 x 100 = 10.66
Therefore, the probability that all 4 units are good is 10.66%.
Answer:
Step-by-step explanation:
A parabola that has a vertex of (3, -2) a focus of (3, -2 1/16), then the line of symmetry is x = 3.
The distance between the vertex and focus is equal to p/2, so
so parabola's equation in vertex form is
In standard form this equation is
Remark
I like to work from the original equation.
Givens
T = 2.2 seconds
pi = 3.14
L = ??
Substitute and Solve
T = 2*pi*sqrt(L/32) Find the value of 2*pi
2.2 = 2*3.14* sqrt(L/32)
2.2 = 6.28 * sqrt(L/32) Divide both sides by 6.28
2.2/6.28 = sqrt(L/32)
0.35032 = sqrt(L/32) Square both sides.
0.122723 = L/32 Multiply both sides by 32
0.122723 * 32 = L
L = 3.927 feet. <<<<< Length pendulum creating 2.2 seconds.
Answer: Hello!
the cross product between sets is defined as:
if A = {a,b,c} and B = {1,2,3)
then
![AxB = \left[\begin{array}{ccc}a\\b\\c\end{array}\right]x\left[\begin{array}{ccc}1&2&3\end{array}\right] =\left[\begin{array}{ccc}a1&a2&a3\\b1&b2&b3\\b1&b2&b3\end{array}\right]](https://tex.z-dn.net/?f=AxB%20%3D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%5C%5Cb%5C%5Cc%5Cend%7Barray%7D%5Cright%5Dx%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%263%5Cend%7Barray%7D%5Cright%5D%20%20%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da1%26a2%26a3%5C%5Cb1%26b2%26b3%5C%5Cb1%26b2%26b3%5Cend%7Barray%7D%5Cright%5D)
where the A took the place of the columns, and B for the files.
then if our sets are A = {a,b} and B = {a,b,c)
a) AxB
![AxB = \left[\begin{array}{ccc}aa&ab&ac\\ba&bb&bc\end{array}\right]](https://tex.z-dn.net/?f=AxB%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Daa%26ab%26ac%5C%5Cba%26bb%26bc%5Cend%7Barray%7D%5Cright%5D)
b) BxA
![BxA = \left[\begin{array}{ccc}aa&ab\\ba&bb\\ca&cb\end{array}\right]](https://tex.z-dn.net/?f=BxA%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Daa%26ab%5C%5Cba%26bb%5C%5Cca%26cb%5Cend%7Barray%7D%5Cright%5D)
c) AxA
![AxA = \left[\begin{array}{ccc}aa&ab\\ba&bb\end{array}\right]](https://tex.z-dn.net/?f=AxA%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Daa%26ab%5C%5Cba%26bb%5Cend%7Barray%7D%5Cright%5D)
d) BxB
![BxB = \left[\begin{array}{ccc}aa&ab&ac\\ba&bb&bc\\ca&cb&cc\end{array}\right]](https://tex.z-dn.net/?f=BxB%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Daa%26ab%26ac%5C%5Cba%26bb%26bc%5C%5Cca%26cb%26cc%5Cend%7Barray%7D%5Cright%5D)
Hope it helps, i know that is kinda hard work with this kind of operations, i tried to make a kinda of map in the first part so you can replace the values of A and B and do the multiplications by yourself, if you have troubles don't doubt of asking.
Answer:
39
Step-by-step explanation:
100/4=25, 25+14=39
