Answer:
The correct solution is "4.6".
Step-by-step explanation:
Given:
Interest rate,
r = 6.2%
or,
= 0.062
Amount,
A = 100000
Principle,
P = 76000
As we know,
⇒ 
On substituting the values, we get
⇒ 
⇒ 
On taking log both sides, we get
⇒ 
⇒ 
By putting the values of log, we get
⇒ 
or,
⇒
Without any more information we can't find the actual numerical representation of the length and width but we can give an expression that will allow us to find them...
We let the width equal x, so the length is 3x. That would be the dimensions...
length = 3x
width = x
So to find perimeter the expression would be
2(3x) + 2(x) =
6x + 2x =
8x
For the area it would be
a= length × width
a = 3x × x
a = 3x^2
Answer:

Step-by-step explanation:
Hello There!
<u>Geometry</u>
The angles shown represented by the expressions (11x + 5) and (5x+59) are vertical angles
Vertical angles are congruent so we can use this equation to solve for x
<u>Basic Algebra</u>
11x + 5 = 5x + 59
step 1 subtract 5x from each side
5x - 5x cancels out
11x - 5x = 6x
now we have 6x + 5 = 59
step 2 subtract each side by 5
5 - 5 cancels out
59 - 5 = 54
now we have 54 = 6x
step 3 divide each side by 6
6x/6=x
54/6=9
we're left with x = 9
now we want to plug in 9 into x for one of the expression
11(9) + 5
11 * 9 = 99
99 + 5 = 104
so we can conclude that the measure of the angle labeled ( 11x + 5 ) is 104 degrees
Now we need to find z
<u>Geometry</u>
The angle with a measure of 104 and angle Z are supplementary angles meaning that the sum of the two is 180
So to find z we subtract the known angle (104) from 180
180 - 104 = 76
so we can conclude that z = 76
Answer:

Step-by-step explanation:
Given
Represent Defective Bulbs with D and non good bulbs with G


The probability that one is defective and the other is not can be represented with: (D and G) or (G and D)
Which means that the defective is selected first, then the good one or the good one is selected first, then the defective one.
This is then calculated as:

We used Total - 1 on second selections because it is a probability without replacement




