Answer:
3
Step-by-step explanation:
Order of Operations; PEMDAS
Parentheses
Exponents
Multiplication & Division (Left to Right) (ex: 10x2÷5) You would do whatever comes left for Multiplication or Division.
Addition & Subtraction (Left to Right) (ex: 10-2+5) You would do whatever comes left for Addition & Subtraction.
3x+6 =
(9+6=15)
(6x2=12)
(12-15=<u>3</u>)
For this case we have that by definition, the volume of a cuboid is given by:
![V = L * A * h](https://tex.z-dn.net/?f=V%20%3D%20L%20%2A%20A%20%2A%20h)
Where:
L: It's the long
A: It is the width
h: It is the height
According to the problem data we have:
![L = 2x ^ 2y \ cm\\A = 5y ^ 2z \ cm\\h = 4z ^ 2x \ cm](https://tex.z-dn.net/?f=L%20%3D%202x%20%5E%202y%20%5C%20cm%5C%5CA%20%3D%205y%20%5E%202z%20%5C%20cm%5C%5Ch%20%3D%204z%20%5E%202x%20%5C%20cm)
So, the volume of the cuboid is:
![V = (2x ^ 2y) (5y ^ 2z) (4z ^ 2x)\\V = 10x ^ 2y ^ 3z (4z ^ 2x)\\V = 40x ^ 3y ^ 3z ^ 3](https://tex.z-dn.net/?f=V%20%3D%20%282x%20%5E%202y%29%20%285y%20%5E%202z%29%20%284z%20%5E%202x%29%5C%5CV%20%3D%2010x%20%5E%202y%20%5E%203z%20%284z%20%5E%202x%29%5C%5CV%20%3D%2040x%20%5E%203y%20%5E%203z%20%5E%203)
Finally, the volume of the cuboid is: ![V = 40x ^ 3y ^ 3z ^ 3](https://tex.z-dn.net/?f=V%20%3D%2040x%20%5E%203y%20%5E%203z%20%5E%203)
Answer:
![V = 40x ^ 3y ^ 3z ^ 3](https://tex.z-dn.net/?f=V%20%3D%2040x%20%5E%203y%20%5E%203z%20%5E%203)
The answer to this question would be: (6.5 , 8.5)
To answer this question, you need to determine the x and y distance of both point. From A point the distance would be:
X distance= 14-4= 10
Y distance= 10-8= 2
Making it into 1:3 ratio means that dividing the line into 4 parts then take 1 part from the point A, or 3 part from point B. From A point the distance would be 1/4 total distance
The location would be:
X= 4 + (10*1/4)= 6.5
Y= 8+ (2*1/4)= 8.5
(6.5 , 8.5)
Answer:
0.114,0.5263
Step-by-step explanation:
Given that a firm buys components from two suppliers:
A : 60% Defective 9%
B:40% Defective 15%
a) the probability that the next component the firm buys is defective
=prob purchased from A and defective + prob purchased from B and defective
= ![0.60(0.09)+0.40(0.15)\\= 0.054+0.06\\=0.114](https://tex.z-dn.net/?f=0.60%280.09%29%2B0.40%280.15%29%5C%5C%3D%200.054%2B0.06%5C%5C%3D0.114)
b) the probability that the component that the firm buys is from supplier B if we know that it is defective
=Prob from B and defective/Prob defective
= ![\frac{0.40(0.15)}{0.114} \\=0.5263](https://tex.z-dn.net/?f=%5Cfrac%7B0.40%280.15%29%7D%7B0.114%7D%20%5C%5C%3D0.5263)