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3 years ago

A linear equation in the form of y=mx+b

Mathematics

1 answer:

enot [183]3 years ago

4 0

Answer:

im sorry

Step-by-step explanation:

i need points or else ill fail

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All real numbers greater than or equal to -3

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andreev551 [17]

Answer:

98% Confidence interval: (4.144 ,4.498)

Step-by-step explanation:

We are given the following in the question:

4.751, 4.373, 4.177, 4.676, 4.425, 4.228, 4.125, 4.251, 3.951, 4.192, 4.291, 4.414

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{51.854}{12} = 4.321$

Sum of squares of differences = 0.5602

$s = \sqrt{\dfrac{0.5602}{11}} = 0.226$

98% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 11 and}~\alpha_{0.02} = \pm 2.718$

$4.321 \pm 2.718(\frac{0.226}{\sqrt{12}} ) = 4.321 \pm 0.1773 = (4.144 ,4.498)$

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4 years ago

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4y = 9x - 21<br> y = x-4

Anastaziya [24]

Answer:

x = 1

y = -3

Step-by-step explanation:

if y = x - 4

then reorganise the first equation

4 (x - 4) = 9x -21

4x - 16 = 9x - 21

5 = 5x

x = 1

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