Answer:
A. Wider and would have a smaller chance of missing the true mean.
Step-by-step explanation:
Margin of error for a confidence interval:
The margin of error for a confidence interval is given by:
In which z is related to the confidence level(the higher the confidence level, the higher the value of z), 
is the standard deviation of the population and n is the size of the sample.
95% confidence interval
Would be wider than the 90% confidence interval, due to the higher value of z.
Also, a x% confidence interval has a x% chance of having the true mean, and a (100-x)% probability of missing the true mean.
Then, a 95% confidence interval has a smaller(5%) chance of missing the true mean compared to the 90% confidence interval(10%). This means that the correct answer is given by option A.
Answer:
Step-by-step explanation:
g(x) = x^2 - x
g(2/3) = (2/3)^2 - 2\3 = 4/9 - 2/3 = 4/9 - 6/9 = -2/9
<h3>
Answer: x = (
y-2)^2 +
5</h3>
In other words, y-2 goes in the first box and 5 goes in the second box.
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Work Shown:
y^2 - 4y - x + 9 = 0
y^2 - 4y + 9 = x
x = y^2 - 4y + 9
x = y^2 - 4y + 4 + 5 .... rewrite 9 as 4+5
x = (y^2-4y+4) + 5
x = (y-2)^2 + 5 .... apply the perfect square factoring rule
So we'll have y-2 go in the first box and 5 goes in the second box
note: One version of the perfect square factoring rule says (a-b)^2 = a^2-2ab+b^2.
Answer:
V = πr²h
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h
where V is the volume, r is the radius, and h is the height of the cylinder.
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<em>Comment on the formula</em>
This is a specific version of the formula for any sort of "prism" with parallel bases and a uniform cross section (parallel to the bases). The volume of such a figure is computed as ...
V = Bh
where B is the area of the base and h is the perpendicular distance between the parallel bases. Here, the base is a circle, so has area formula ...
B = πr²
Filling this into the volume formula gives ...
V = πr²h . . . . . as above
20 degrees
vertical angles are equal, so 5x-80=x
solve for x and you get 20
