Answer:
The answer is
<h2>
![y = - \frac{1}{2} x + 2](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20%2B%202)
</h2>
Step-by-step explanation:
To find an equation of a line when given the slope and a point we use the formula
![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=y%20-%20%20y_1%20%3D%20m%28x%20-%20%20x_1%29%20)
where
m is the slope
( x1 , y1) is the point
From the question the point is (6 , - 1) and slope - 1/2
So we have
![y + 1 = - \frac{1}{2} (x - 6) \\ y + 1 = - \frac{1}{2} x + 3 \\ y = - \frac{1}{2} x + 3 - 1 \\](https://tex.z-dn.net/?f=y%20%2B%201%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%28x%20-%206%29%20%5C%5C%20y%20%2B%201%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20%2B%203%20%5C%5C%20y%20%3D%20%20%20-%20%5Cfrac%7B1%7D%7B2%7D%20x%20%2B%20%203%20-%201%20%5C%5C)
We have the final answer as
![y = - \frac{1}{2} x + 2 \\](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20%2B%202%20%5C%5C%20)
Hope this helps you
Answer:
0.005 `; 0.00499 ;
No, because np < 10 ;
2000
Step-by-step explanation:
Given that:
Number of samples , n = 100
Proportion, p = x / n
p = 1 / 200
= 0.005
p = μ
Standard deviation of sample proportion :
σp = sqrt((p(1 - p)) / n)
σp = sqrt((0.005(1 - 0.005)) / 200)
σp = sqrt((0.005(0.995)) / 200)
σp = sqrt(0.004975 / 200)
σp = sqrt(0.000024875)
σp = 0.0049874
σp = 0.00499
np = 100 * 0.005 = 0.5
n(1 - p) = 100(1-0.05) = 95
Smallest value of n for which sampling distribution is approximately normal
np ≥ 10
0.005n ≥ 10
To obtain the smallest value of n,
0.005n = 10
n = 10 / 0.005
n = 2000
<em>y-intercept</em>
<em>y-interceptThe expression f(0) represents the y-intercept on the graph of f(x). The y-intercept of a graph is the point where the graph crosses the y-axis.</em>