X + x + x + 20 + 10 = 180
(combine like terms)
3x + 30 = 180
3x=180-30
3x=150
x=150/3
x=50
Answer:
The maximum value of the confidence interval for this set of survey results is 51.73%.
Step-by-step explanation:
A confidence interval has two bounds, a lower bound and an upper bound.
These bounds depend on the sample proportion and on the margin of error.
The lower bound is the sample proportion subtracted by the margin of error.
The upper bound is the margin of error added to the sample proportion.
In this question:
Sample proportion: 46.1%
Margin of error: 5.63%.
Maximum value is the upper bound:
46.1+5.63 = 51.73
The maximum value of the confidence interval for this set of survey results is 51.73%.
G(x)=x²
The graph has moved to the right 4 units, therefore the new graph will be:
H(x)=(x-4)²
It has also move 4 units up, therefore the new graph will be:
F(x)=(x-4)²+4
Answer:
F(x)=(x-4)²+4
The answer would be 28.
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Here's my work:
Remember PEMDAS:
- Parentheses
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Also, remember to always go left to right.
(6+2)^2-4*3
Square everything in the parenthesis.
36+4-4*3
Multiply where you see a multiplication symbol from left to right.
36+4-12
Add.
40-12
Subtract.
28
Done!
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I hope I was able to guide and help you on this.
