Answer:-2=-2 (b)
Step-by-step explanation:
I just took that lesson
The sum of 5+2=7
The sum of 2+5=7
The sum is the same because basically, the position and location of the numbers do not matter in <em>addition </em>and multiplication. However, the position matters in subtraction and division.
Hope that helps!
The perimeter of the enlarged garden is 16.56 meters.
<u>Step-by-step explanation:</u>
The garden is in the shape of a rectangle.
- The length of the rectangle = 5.4 meters.
- The width of the rectangle = 1.5 meters.
The Rectangle is enlarged by increasing the length and width by 20%.
<u>To find the enlarged length :</u>
The original length 5.4 is increased by 20%.
⇒ (20/100) × 5.4
⇒ 0.2 × 5.4
⇒ 1.08
- The 20% of the length is 1.08
- The enlarged length is 5.4 + 1.08 = 6.48 meters.
<u>To find the enlarged width :</u>
The original width 1.5 is increased by 20%.
⇒ (20/100) × 1.5
⇒ 0.2 × 1.5
⇒ 0.3
- The 20% of the width is 0.3
- The enlarged width is 1.5 + 0.3 = 1.8 meters.
The perimeter of the enlarged rectangle is found by substituting the enlarged values of length and width in the perimeter formula.
Perimeter of the enlarged rectangle = 2 (length + width)
⇒ 2 (6.48 + 1.8)
⇒ 2 × 8.28
⇒ 16.56 meters.
∴ The perimeter of the enlarged garden is 16.56 meters.
Answer:
The z-score for an income of $2,100 is 1.
Step-by-step explanation:
If X 
N (µ, σ²), then 
, is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z N (0, 1).
The distribution of these z-variate is known as the standard normal distribution.
Given:
µ = $2,000
σ = $100
<em>x</em> = $2,100
Compute the <em>z</em>-score for the raw score <em>x</em> = 2100 as follows:
Thus, the z-score for an income of $2,100 is 1.
