The lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.
<h3>What is a confidence interval?</h3>
It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.
We have:
A survey of 504 citizens found that 378 of them favor a new bill introduced by the city.
Sample proportion = p = 378/504 = 0.75
q = 1 - p = 1 - 0.75 = 0.25
SD = 0.01928
For 95% confidence interval Z value = 1.96
Lower limit = 0.75 - 1.96(0.01928)
= 0.712
Thus, the lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.
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3)
82 + p >= 150
p>= 150 - 82
p>= 68
answer A.
4)
x/-10 > 6
x > -60
answer
x > -60
5)
5z >= - 75
z >= -75/5
z >= -15
answer
z >= -15
It should be noted that the relationship is not linear based on the information illustrated as the difference between the numbers aren't the same.
<h3>How to illustrate the information?</h3>
It should be noted that an equation is simply used to illustrate and express the relationship between the variables.
It should be noted that for the relationship to be linear, it's essential that they've the same relationship between them.
When x = 1, y = 4.5. The
When x = 2, y = 6.5
When x = 3, y = 8.5
When x = 4 y = 11.5
It should be noted that there's a difference of 2 at first but between 3 and 4, there is. a difference of 3.
Therefore, the relationship is not linear.
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Either A - the value of r would increase or B- the value of r would not change.
Answer:
The answer to your question is below
Step-by-step explanation:
A) f(x) = x² + 4x + 1
Find the vertex
y = x² + 4x + 1
-Subtract 1 in both sides
y - 1 = x² + 4x
-Complete the perfect trinomial square in the right side
y - 1 + (2)² = x² + 4x + (2)²
-Simplify
y - 1 + 4 = (x + 2)²
y + 3 = (x + 2)²
-Find the vertex
V = (-2, -3)
B)
f(x) = x²
g(x) = (x - 4)² - 2 See the picture below
Shifted right 4 units
Shifted down 2 units
