Note: a² - b² = (a-b)(a+b)
9x² - 16y² = (3x)² - (4y)² = (3x - 4y)(3x + 4y)
Answer:
x = 10
Step-by-step explanation:
3x + 55 = 9x - 5 (add 5 to both sides)
3x + 55 + 5 = 9x - 5 + 5
3x + 60 = 9x (subtract 3x from both sides)
60 = 9x - 3x
60 = 6x (rearrange)
6x = 60 (divide both sides by 6)
x = 60/6
x = 10
Answer:
The range of values likely to contain the true value of the population parameter is between 44% and 52%.
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
These bounds are dependent of the sample mean and of the margin of error.
The lower bound is the sample mean subtracted by the margin of error, while the upper bound is the margin of error added to the sample mean.
The confidence interval is likely to contain the true value of the population parameter.
In this question:
Sample mean: 48%
Margin of error: 4%
48 - 4 = 44%
48 + 4 = 52%
The range of values likely to contain the true value of the population parameter is between 44% and 52%.
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