11/7 = x/13
x = 13*11/7 ≈ 20.4 ← <span>to the nearest tenth</span>
Answer:
The expected number of defective batteries to be pulled out is 0.9, which rounded to the nearest integer gives a total of 1, that is, 1 of the 3 batteries is expected to be defective.
Step-by-step explanation:
Given that a box contains 3 defective batteries and 7 good ones, and I reach in and pull out three batteries, to determine what is the expected number of defective batteries, the following calculation must be performed:
3 + 7 = 100
3 = X
10 = 100
3 = X
3 x 100/10 = X
300/10 = X
30 = X
3 x 3/10 = X
0.9 = X
Therefore, the expected number of defective batteries to be pulled out is 0.9, which rounded to the nearest integer gives a total of 1, that is, 1 of the 3 batteries is expected to be defective.
Answer:
The width and length of the rectangle are and , for , respectively.
Step-by-step explanation:
From Geometry, we remember that area of the rectangle () is defined by:
(1)
Where:
- Width.
- Length.
In addition, we know that area is described by a first-order polynomial:
(2)
Meaning that is the product of another first-order polynomial and a constant. That is:
(3)
Now we determine the Great Common Divisor of 352 and 22:
The Great Common Divisor is 22.
Then, the area of the rectangle can be expressed by this expression:
(3b)
According to this, the width and length of the rectangle are and , for , respectively.
Answer:
2a +2b +4
Step-by-step explanation:
The perimeter is the sum of the lengths of the three sides. If x represents the length of the third side, then ...
(3a +8) +(5a +b) +x = (10a +3b +12)
Subtracting from the equation everything on the left side that is not x, we get ...
x = (10a +3b +12) -(3a +8) -(5a +b)
= a(10 -3 -5) +b(3 -1) +(12 -8)
= 2a +2b +4
The length of the third side is 2a +2b +4.