Find the slope and the y-intercept of the line. y=9x-3

Mathematics

2 answers:

yarga [219]3 years ago

6 0

Slope = 9

Y- intercept = - 3

andreev551 [17]3 years ago

3 0

Basically, every linear function can be expressed as:
$y=ax + b$ , where $a$ is the slope.

So, the slope is 9 in your case.

To find y-intercept of the line you have to set $x=0$ because line intercepts y-axis when $x$ is equal to zero:
$y=9*(0) - 3$

From here we can say that $b$ is the y-interception.
So, y-interception is -3 in your case.

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Given :

Sample mean, $\overline X = 34.2$

Sample size, n = 129

Sample standard deviation, s = 8.2

a. Since the population standard deviation is unknown, therefore, we use the t-distribution.

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α = 0.05, α/2 = 0.025

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95% confidence interval is (32.52, 35.8)

So with $95 \%$ confidence of the population of the mean number of the pounds per person per week is between 32.52 pounds and 35.8 pounds.

c. About $95 \%$ of confidence intervals which contains the true population of mean number of the pounds of the trash that is generated per person per week and about $5 \%$ that doe not contain the true population of mean number of the pounds of trashes generated by per person per week.