Write the point slope form of an equation of the line through the points

Mathematics

2 answers:

denis23 [38]3 years ago

7 0

Answer:

the answer is D

how to try the values of the x and y

(x,y)

MA_775_DIABLO [31]3 years ago

4 0

Equation of a line: $y = mx + c$ , where m is the slope and c is the y-intercept. To calculate the slope, we do so using the formula: $m = \frac{y2 - y1}{x2 - x1}$

Now plugging in our values, $m = \frac{4 - (-3)}{-7 - (-2)} = \frac{4 + 3}{-7 + 2} = \frac{7}{-5} = \frac{-7}{5}$

So our slope m, is = -7/5

We can now input the value of the slope. But in this question, we cannot use the above equation of a line since we are asked to use a point-slope equation expression, so the equation is $y - y1 = m(x - x1)$

Now we plug in our values,

$y - (-3) = \frac{-7}{5}(x - (-2))\\y + 3 = \frac{-7}{5}(x + 2)$

So the answer should be option D.

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A survey was conducted that asked 1003 people how many books they had read in the past year. Results indicated that x overbar eq

Sergio [31]

Answer:

The 99% confidence interval would be given (11.448;14.152).

Step-by-step explanation:

1) Important concepts and notation

A confidence interval for a mean "gives us a range of plausible values for the population mean. If a confidence interval does not include a particular value, we can say that it is not likely that the particular value is the true population mean"

$s=16.6$ represent the sample deviation

$\bar X=12.8$ represent the sample mean

n =1003 is the sample size selected

Confidence =99% or 0.99

$\alpha=1-0.99=0.01$ represent the significance level.

2) Solution to the problem

The confidence interval for the mean would be given by this formula

$\bar X \pm z_{\alpha/2} \frac{s}{\sqrt{n}}$

We can use a z quantile instead of t since the sample size is large enough.

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.