The 12 girls on the dance team want to raise $300.00 to buy practice shoes. They have already raised $137.52. If each girl raise
1 answer:
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81 a² - 25 is a difference of two squares and its factors are (9a + 5z³) and (9a - 5z³)
Step-by-step explanation:
The difference of two squares is a binomial of two terms each term is a square and the sign between the two terms is (-), its factorization is the product of two identical binomials with different middle signs
- a² - b² is a difference of two squares
- a² - b² = (a + b)(a - b)
∵ The binomial is 81 a² - 25
∵ = 9
∵ = a
∴
∵ = 5
∵ = z³
∴
- The two terms have square root
∵ The sign between them is (-)
∴ 81 a² - 25 is a difference of two squares
∵ Its factorization is two identical brackets with different
middle signs
∵ 81 a² = 9a × 9a
∵ 25 = 5z³ × 5z³
- The terms of the two brackets are 9a and 5z³
∴ 81 a² - 25 = (9a + 5z³)(9a - 5z³)
81 a² - 25 is a difference of two squares and its factors are (9a + 5z³) and (9a - 5z³)
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Answer: C
Step-by-step explanation:
<u>Given:</u>
Sample size (n) = 50
x = 12
Confidence level = 90%
α = 1 − 0.90 = 0.10
α/2 = 0.05
(from standard normal table)
90% Confidence interval is,
Therefore, 90% confidence interval for the true proportion of sophomores who favour the adoption of uniforms is C
Answer:
= 2π
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
Divide both sides by r
= 2π ← ratio of circumference to radius