Given:
p = 20% = 0.2, sample proportion
n = 5000, sample size.
Confidence level = 95%
The confidence interval is
(p - 1.96k, p + 1.96k)
where
![k=\sqrt{ \frac{p(1-p)}{n} }=\sqrt{ \frac{0.2*0.8}{5000}} =0.00566](https://tex.z-dn.net/?f=k%3D%5Csqrt%7B%20%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%20%7D%3D%5Csqrt%7B%20%5Cfrac%7B0.2%2A0.8%7D%7B5000%7D%7D%20%3D0.00566)
Therefore the 95% confidence interval is
(0.1943, 0.2057) = (19.4%, 20.6%)
Answer: The 95% confidence interval is (19.4%, 20.6%)
D because a has to be younger than 18 and it has to be positive because we are never a negative age. do you understand when i mean?
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Answer:
The answers are below
Step-by-step explanation:
The greater sign is > and the less then symbol is <
Using the red arrows on the number line, you can tell which one is bigger or less. The dot is colored in so it has to have a line under it. So for the first one (top, left), The red arrow is pointing to the right side meaning x is bigger than 3. Therefore x ≥ 3.
In the next one (top, right) the arrow is pointing to the negative side so that one must be less than 3. The dot is also colored in meaning it is: x ≤ 3
In the next one (bottom, left) the arrow is pointing to the right, the dot not colored in, so it has no line. Therefore it is x > 3
Last one (bottom right) the arrow is pointing left, dot is white meaning that the answer is x < 3
If you're wondering what the open dots and closed dots mean:
An open dot is used to show that the ray's endpoint is not a component of the solution when the inequality is "strict" ( < or >).
A closed dot is used to denote that the endpoint is a component of the solution for the other types of inequalities (≥ and ≤ ).
Answer:
121.7
Step-by-step explanation:
73
+48.7
=121.7
121.7
-73
=48.7
The y-coordinate is 16
<h3><u>Solution:</u></h3>
Given that a line with slope 3 passes through point (0, 10)
To find the y-coordinate of the point on the line with x-coordinate 2
Which means the point is (2, y)
Let us find the required y co-ordinate using slope formula
<em><u>The slope of line is given as:</u></em>
For a line containing points
and
is given as:
![\text {slope}=m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=%5Ctext%20%7Bslope%7D%3Dm%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
![\text {Here } x_{1}=0 ; y_{1}=10 ; x_{2}=2 ; y_{2}=y](https://tex.z-dn.net/?f=%5Ctext%20%7BHere%20%7D%20x_%7B1%7D%3D0%20%3B%20y_%7B1%7D%3D10%20%3B%20x_%7B2%7D%3D2%20%3B%20y_%7B2%7D%3Dy)
Given that slope "m" = 3
Substituting the values we get,
![\begin{array}{l}{3=\frac{y-10}{2-0}} \\\\ {3=\frac{y-10}{2}} \\\\ {6=y-10} \\\\ {y=10+6=16}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B3%3D%5Cfrac%7By-10%7D%7B2-0%7D%7D%20%5C%5C%5C%5C%20%7B3%3D%5Cfrac%7By-10%7D%7B2%7D%7D%20%5C%5C%5C%5C%20%7B6%3Dy-10%7D%20%5C%5C%5C%5C%20%7By%3D10%2B6%3D16%7D%5Cend%7Barray%7D)
Thus the y-coordinate is 16