Answer:
x1= 1 , x2 = (-1.5)
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me ;}
Answer:
15 cm, 15 cm, 11 cm
Step-by-step explanation:
let the equal sides be x then the third side is x - 4
The perimeter is the sum of the 3 sides and is 41 cm , then
x + x + x - 4 = 41
3x - 4 = 41 ( add 4 to both sides )
3x = 45 ( divide both sides by 3 )
x = 15
x - 4 = 15 - 4 = 11
The sides are 15 cm, 15 cm, 11 cm
Answer:
see explanation
Step-by-step explanation:
To multiply the vector by a scalar, multiply each of the elements by the scalar.
To add 3 vectors add the corresponding elements of each vector
2a + 3b + 4c
= 2
+ 3
+ 4![\left[\begin{array}{ccc}3\\2\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%5C%5C2%5C%5C%5Cend%7Barray%7D%5Cright%5D)
=
+
+ ![\left[\begin{array}{ccc}12\\8\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D12%5C%5C8%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}4-12+12\\6+3+8\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4-12%2B12%5C%5C6%2B3%2B8%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}4\\17\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%5C%5C17%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Answer:
a. 0.12109
b. 0.0001668
c .0.9726
d. 0.01038
e. 0.01211
f. 0.000001731
Step-by-step explanation:
Sample size = 580
Defective units = 8
Number of picks = 2
a) If the first container is defective, there 7 defective containers left in a population of 579. The probability of selecting a defective one is:

b) The probability that both are defective is given by:

c) The probability that both are acceptable is given by:

d) In this case, two defective units were removed from the batch, the probability that the third is also defective is:

e) In this case, one acceptable and one defective unit were removed from the batch, the probability that the third is also defective is:

f) The probability that all three are defective is given by:

<span>g = 0.00847 i think ok</span>