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Gnesinka [82]
3 years ago
13

Use the slope formula to find the missing coordinate. r(0, _), s(-4, 2) m = 5

Mathematics
2 answers:
OLga [1]3 years ago
5 0
Let, the missing coordinate = x
m = y2-y1 / x2-x1
5 = x - 2 / 0-(-4)
5 = x-2/4
x-2 = 5*4
x = 20 + 2
x = 22

In short, Your Answer would be 22

Hope this helps!
Dmitry [639]3 years ago
3 0

Answer: 22

Step-by-step explanation:

The slope of a line passing through two points (a,b) and (c,d) is given by :-

m=\dfrac{d-b}{c-a}

The given points : r(0, _), s(-4, 2)

Slope : m=5

let the missing coordinate be y.

Then , the slope of a line passing through two points r(0, y), s(-4, 2)is given by :-

5=\dfrac{2-y}{-4-0}\\\\\Rightarrow\2-y=5\times-4\\\\\Rightarrow\ y=20+2=22

Hence, the missing coordinate of r = 22.

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If x has a mean of 17.2 g and a standard division of 14.0 g and y has a mean of 23.5 g and a standard division of 16.4 g and the
dimulka [17.4K]

The least squares regression line is y=0.6831x+11.25

Step-by-step explanation:

LSRL is the the Least Squares Regression Line.The formula for regression line is y=mx+b where m is the slope of the line and b is the y-intercept value of the line.

First find the slope, m of the line from the means and standard deviations given

x has a mean of 17.2 g and a standard deviation of 14.0 g

y has a mean of 23.5 g and a standard deviation of 16.4 g

The correlation coefficient in both cases is 0.83, hence the slope m is given by;

m=r(Sy/Sx) where m is the slope of the line, Sy is standard deviation of y values, Sx  is standard deviation of x values and r is the correction coefficient.

m= 0.5 * 23.5/17.2 =0.6831

Find the value of b, the y-intercept

b=Y-mX where X and Y are the mean values for x and y respectively

b=23.5-0.6831*17.2

b=23.5-11.75=11.25

The LSRL is y=0.6831x+11.25

Learn More

Least Squares regression Line : brainly.com/question/4090838

Keyword : standard deviation, least square regression line

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3 0
3 years ago
How do you know if an number composite or not
cestrela7 [59]

Answer:

A prime number has only two factors: 1 and itself. A composite number has more than two factors

Step-by-step explanation:

Can i have a thanks?

3 0
3 years ago
(2.1 x 104) + (3.5 x 106)
igor_vitrenko [27]

Answer:

the answer is 589.4

Step-by-step explanation:

In doing this equation you do the order of operations:

(2.1 x 104)= 218.4

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you then add the answers together to get:

218.4 + 371 = 589.4

8 0
2 years ago
The nicotine content in a single cigarette of a particular brand has a distribution with mean 0.9 mg and standard deviation 0.1
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Answer:

The answer to the question is;

The probability that the resulting sample mean of nicotine content will be less than 0.89 is 0.1587 or 15.87 %.

Step-by-step explanation:

The mean of the distribution = 0.9 mg

The standard deviation of the sample = 0.1 mg

The size of the sample = 100

The mean of he sample = 0.89

The z score for sample mean is given by

Z =\frac{X-\mu}{\sigma/ \sqrt{n} } where

X = Mean of the sample

μ = Mean of the population

σ = Standard deviation of the population

Therefore Z = \frac{0.89-0.90}{0.1/\sqrt{100} } = -1

From the standard probabilities table we have the probability for  a z value of -1.0 = 0.1587

Therefore the probability that the resulting sample mean will be less than 0.89 = 0.1587 That is the probability that the mean is will be less than 0.89 is 15.87 % probability.

             

7 0
3 years ago
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