Question

• 17. analyze what is the mean of 1.2, 1.3, 1.4, and 1.5?

1. the perimeter of a square is 36 inches. what is its area?
2. here we show 24 written as a product of prime numbers:

2·2·2·3
show how 30 can be written as a product of prime numbers.

Explanation:

Step1: Calculate sum of numbers

$1.2 + 1.3 + 1.4 + 1.5 = 5.4$

Step2: Divide sum by count (4)

$\frac{5.4}{4} = 1.35$

Step3: Find square side length

Perimeter = $4 \times$ side $\Rightarrow$ side = $\frac{36}{4} = 9$ inches

Step4: Calculate square area

Area = side$^2 = 9^2 = 81$ square inches

Step5: Prime factorize 30

Divide by smallest primes: $30 = 2 \times 3 \times 5$

Answer:

1. 1.35
2. 81 square inches
3. $2 \times 3 \times 5$