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Bad White [126]
3 years ago
6

What is the equation of this graph

Mathematics
2 answers:
maxonik [38]3 years ago
7 0
The equation to the graph is y=1/2x-3
ollegr [7]3 years ago
5 0
The formula that you have to use is this y=Mx+b (m is the slope, x is just x, and b is the y-intercept)

What you have to find first is the y-intercept and as you can see the y-intercept of this line is -3 because is when the line intercept the y-axis and from that point you go up(+) 1 time and right(+) to times to reach the other point so the slope of the line is 1/2.

The slope form is m=rise/run
Rise:up(+)/down(-) and run:right(+)/left(-)

The equation of the line is y=1/2x-3

Hope this helps :D

A tip to know when the slope is going to be positive or not is when the line start and as you can see this line start from the bottom to the top so it positive
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Answer:

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3 years ago
An article presents voltage measurements for a sample of 66 industrial networks in Estonia. Assume the rated voltage for these n
kramer

Answer:

We accept the null hypothesis and conclude that voltage for these networks is 232 V.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 232 V

Sample mean, \bar{x} = 231.5 V

Sample size, n = 66

Sample standard deviation, s = 2.19 V

Alpha, α = 0.05

First, we design the null and the alternate hypothesis

H_{0}: \mu = 232\\H_A: \mu \neq 232

We use Two-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n-1}} } Putting all the values, we have

t_{stat} = \displaystyle\frac{231.5- 232}{\frac{2.19}{\sqrt{66}} } = -1.8548

Now,

t_{critical} \text{ at 0.05 level of significance, 9 degree of freedom } = \pm 1.9971

Since,              

|t_{stat}| > |t_{critical}|

We accept the null hypothesis and conclude that voltage for these networks is 232 V.

4 0
3 years ago
1. A right circular cylinder has a height of 5 in. and a base area of 20 in2. What is the volume of the cylinder? Use π = 3.14.
Kruka [31]

Answer:

<h2>1. V = 100 in³</h2><h2>2. h = 10 in</h2>

Step-by-step explanation:

The formula of a volume of a cylinder:

V=Bh

<em>B</em><em> - base area</em>

<em>h</em><em> - height</em>

<em />

1. We have

<em>h = 5in, B = 20 in²</em>.

Substitute:

V=(5)(20)=100\ in^3

2. We have

<em>B = 20.7 in², V = 207 in³</em>.

Substitute:

207=20.7h            <em>divide both sides by 20.7</em>

\dfrac{207}{20.7}=\dfrac{20.7h}{20.7}\\\\10=h\to h=10\ in

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Answer:

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Step-by-step explanation:

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3 years ago
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