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VMariaS [17]
3 years ago
13

find the equation of each line from the given information. write the equation in standard Form. show your work for. The line con

tains the points (3.0) and (4,6)​
Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
3 0

Answer:

y=6x-18

Step-by-step explanation:

To find the standard equation of a linear relationship given two points, you need to find the slope and y intercept.

slope is change in y divided by change in x.

(6-0)/(4-3)

(6)/(1)

The slope of the line is 6.

We can plug this in along with x and y values from a given coordinate into the standard equation format to solve for b, the y intercept.

y=mx+b

y=0

x=3

m=6

0=6(3)+b

0=18+b

b=-18

now we know that the y intercept is (0,-18). The standard equation would be y=6x-18

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A simple random sample of size nequals17 is drawn from a population that is normally distributed. The sample mean is found to be
IRINA_888 [86]

Answer:

95% confidence intervals about the population mean is

(51.7656 , 60.2344)

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given random sample of size 'n' =17

Given mean of the sample 'x⁻' = 56

Given standard deviation of sample 's' = 10

95% confidence intervals about the population mean is determined by

(x^{-} - t_{0.05} \frac{s}{\sqrt{n} } ,x^{-} + t_{0.05} \frac{s}{\sqrt{n} } )

Degrees of freedom

ν = n-1 = 17-1 =16

t₀.₀₅ = 1.7459  (from t-table)

<u><em>Step(ii):-</em></u>

95% confidence intervals about the population mean is determined by

(x^{-} - t_{0.05} \frac{s}{\sqrt{n} } ,x^{-} + t_{0.05} \frac{s}{\sqrt{n} } )

(56 - 1.7459 \frac{10}{\sqrt{17} } ,56 + 1.7459 \frac{10}{\sqrt{17} } )

( 56 - 4.2344 , 56 + 4.2344)

<em>(51.7656 , 60.2344)</em>

<u>Conclusion:</u>-

<em>95% confidence intervals about the population mean is </em>

<em>(51.7656 , 60.2344)</em>

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