The standard deviation for a set of data is 6.5. The mean is 255. What is the Margin of Error?
1 answer:
Answer: The margin of error is 12.74.
Step-by-step explanation:
Since we have given that
Standard deviation = 6.5
Mean = 255
Let 95% level of significance,
So, z value = 1.96
We need to find the "Margin of error":
So, it becomes :
Margin of error = Standard deviation × z-value
Margin of error =
Hence, the margin of error is 12.74.
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Answer:
Vertex → (2, 4)
Step-by-step explanation:
Quadratic equation has been given as,
y = -x² + 4x
We rewrite this equation in the form of a function as,
f(x) = - x² + 4x
By comparing this equation with the standard quadratic equation,
y = ax² + bx + c
a = -1 and b = 4
Vertex of the parabola represented by this equation is given by
x coordinate =
= 2
y-coordinate = f(2)
= - (2)² + 4(2)
= -4 + 8
= 4
Therefore, vertex of the given function is (2, 4)
Answer:
The system has one solution
Step-by-step explanation:
we have the system of equations
----> equation A
----> equation B
Solve the system by substitution
substitute equation A in equation B
Solve for x
Multiply by 3 both sides to remove the fraction
Combine like terms
Simplify
<em>Find the value of y</em>
Simplify
The solution of the system is the point
therefore
The system has one solution