8a + a - 3 = 6a - 2a - 3
1. Add the a's on both sides:
9a - 3 = 4a - 3
2. Shift 4a to the left and -3 to the right of the equals sign (this changes their signs):
9a - 4a = -3 + 3
3. Simplify:
5a = 0
So a = 0
Answer:
a) 0.383
b) 0.375
Step-by-step explanation:
a) Calculate each z-score.
z = (x − μ) / σ
z₁ = (112 − 118) / 12 = -0.5
z₂ = (124 − 118) / 12 = 0.5
Use a calculator or z-score table to find the probability.
P(-0.5 < Z < 0.5) = 0.6915 − 0.3085 = 0.383
b) 0.383 × 16 ≈ 6. So the expected proportion would be 6/16 = 0.375.
2.8 million in the fifth year. 12 million total
The sequence is an arithmetic sequence and the expression used to find the nth term would be 3n option fourth I and II is correct.
<h3>What is a sequence?</h3>
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have a sequence:
3, 6, 9, 12…
First term a = 3
Common difference d = 6 - 3 = 3
This is an arithmetic sequence.
nth term of the arithmetic sequence:
a(n) = 3 + (n-1)(3)
a(n) = 3n
Plug n = 5
a(5) = 3(5) = 15
Thus, the sequence is an arithmetic sequence and the expression used to find the nth term would be 3n option fourth I and II is correct.
Learn more about the sequence here:
brainly.com/question/21961097
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