Answer:
thanks for the points here u go
Step-by-step explanation:
f(x)=4x^3 - 6x^2 + 2x - 5
f(-2)
Replace X with -2:
4(-2)^3 - 6(-2)^2 + 2(-2) - 5 =
Calulate the powers:
4(-8) - 6(4) +(-4) -5=
Multiply:
-32 - 24 -4 -5=
Subtract
-65
The margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.
<h3>What is the margin of error?</h3>
The margin of error can be defined as the amount of random sampling error in the results of a survey. It is given by the formula,

= margin of error
= confidence level
= quantile
σ = standard deviation
n = sample size
As it is given that the sample size of the survey is 324, while the standard deviation of the survey is 1.6.
We know that the value of the z for 95% confidence interval is 1.96. Therefore, using the formula of the standard of error we can write it as,

Hence, the margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.
Learn more about Margin of Error:
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Answer:
D
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 6, - 8), thus
(x + 6)² + (y + 8)² = r²
The radius is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂ ) = (0, 0)
r =
=
=
= 10
Hence
(x + 6)² + (y + 8)² = 100 → D
Area=pi times radius^2 so
if area=4pi=pi times r^2
4 times pi=r^2 times pi
divide both sdies by pi
4=r^2
square root
2=radius since legnth cannot be negative
radius=1/2 diamters
2 radius=diameter
2(2)=diameter=4
diameter=4