Answer:
x - 4y - 36 = 0
Step-by-step explanation:
To find the equation of a line when a point passing through it and its slope are give we use slope and one - point form.
It is given by:
.
where,
is the point that passes through it and
is the slope of the line.
Substituting we have:
.
![\implies 4y + 32 = x - 4](https://tex.z-dn.net/?f=%5Cimplies%204y%20%2B%2032%20%3D%20x%20-%204)
![\implies x - 4y - 36 = 0](https://tex.z-dn.net/?f=%5Cimplies%20x%20-%204y%20-%2036%20%3D%200)
Answer:
5%
Step-by-step explanation:
This is a significance test for a mean.
The 2 hypothesis here will be:
![H_{0}: \mu = 2,200 \\H_{a}: \mu > 2,200](https://tex.z-dn.net/?f=H_%7B0%7D%3A%20%5Cmu%20%3D%202%2C200%20%5C%5CH_%7Ba%7D%3A%20%5Cmu%20%3E%202%2C200)
To determine the z-score of the error in the means you have to use this formula:
![z= \frac{x-\mu}{\frac{\sigma}{\sqrt{n}} }](https://tex.z-dn.net/?f=z%3D%20%5Cfrac%7Bx-%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%20%7D)
![z=\frac{2350-2200}{\frac{500}{\sqrt{40} } } =1.897](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B2350-2200%7D%7B%5Cfrac%7B500%7D%7B%5Csqrt%7B40%7D%20%7D%20%7D%20%3D1.897)
This mean that if the z score of a significance level is less than 1.897 the hypothesis that μ>2,200 is suggested.
10% -> z= 1.28
5% -> z = 1.645
1% -> z = 2.33
The most restrictive level of significance is 5%
Answer:
500 metres
Step-by-step explanation:
As per the question statement:
Randy walks all the way around the block and stops when he gets back to where he started.
Distance of 1 unit is 10m.
Please refer to the image attached:
![A(-5,-2),\ B(9,-2),\ C(9,9),\ D(-5,9)](https://tex.z-dn.net/?f=A%28-5%2C-2%29%2C%5C%20B%289%2C-2%29%2C%5C%20C%289%2C9%29%2C%5C%20D%28-5%2C9%29)
Let us assume that he starts from point <em>A</em> and then moves towards point <em>B</em>, then towards point <em>C </em>and then <em>D </em>and finally reaches point <em>A </em>back.
![A \rightarrow B \rightarrow C \rightarrow D \rightarrow A](https://tex.z-dn.net/?f=A%20%5Crightarrow%20B%20%5Crightarrow%20C%20%5Crightarrow%20D%20%5Crightarrow%20A)
While walking from A to B, he walks parallel to x-axis for 9 - (-5) units i.e. 14 units.
![Distance = 14 \times 10\\\Rightarrow 140m](https://tex.z-dn.net/?f=Distance%20%3D%2014%20%5Ctimes%2010%5C%5C%5CRightarrow%20140m)
While walking from B to C, he walks parallel to y-axis for 9 - (-2) units i.e. 11 units.
![Distance = 11 \times 10\\\Rightarrow 110m](https://tex.z-dn.net/?f=Distance%20%3D%2011%20%5Ctimes%2010%5C%5C%5CRightarrow%20110m)
Similarly, C to D, he walks parallel to x-axis for 9 - (-5) units i.e. 14 units.
![Distance = 14 \times 10\\\Rightarrow 140m](https://tex.z-dn.net/?f=Distance%20%3D%2014%20%5Ctimes%2010%5C%5C%5CRightarrow%20140m)
Similarly, D to A, he walks parallel to y-axis for 9 - (-2) units i.e. 11 units.
![Distance = 11 \times 10\\\Rightarrow 110m](https://tex.z-dn.net/?f=Distance%20%3D%2011%20%5Ctimes%2010%5C%5C%5CRightarrow%20110m)
Total distance traveled is 110 + 140 + 110 + 140 = <em>500 metres.</em>
Answer:
Step-by-step explanation: A, because to now the amount that was sold each month during that year you gave to determine the average