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3 years ago

Find the equation of the line that goes through the points (4, –1) and (2, –5).

Mathematics

2 answers:

poizon [28]3 years ago

6 0

Answer:

y= 2x -9

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

$\boxed{slope = \frac{ y_{1} - y_2}{x_1 - x_{2}} }$

Slope

$= \frac{ - 1 - ( - 5)}{4 - 2}$

$= \frac{ - 1 + 5}{2}$

$= \frac{4}{2}$

= 2

Substitute m= 2 into the equation:

y= 2x +c

To find the value of c, substitute a pair of coordinates.

When x= 4, y= -1,

-1= 2(4) +c

-1= 8 +c

c= -1 -8

c= -9

Thus, the equation of the line is y= 2x -9.

Bingel [31]3 years ago

6 0

Answer:

m= 2

b= -9

y=2x-9

Step-by-step explanation:

edg 2021

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3 years ago

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(a)

The random variable X has finite number of independent trials (i.e. 25 questions). There are only two outcomes for each trial, i.e. Success = correct answer and Failure = wrong answer. Each trial has the same probability of success (, i.e. P (X) = 0.25).

Thus, the probability distribution of the random variable X is Binomial with parameters n = 25 and p = 0.20.

(b)

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Thus, the mean and standard deviation of the 25-question test are 5 and 2 respectively.

(c)

The sample is large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

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Compute the value of x as follows:

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The first step was to apply distributive properties to get rid of the parenthesis, after that the terms were arranged and the like terms combined

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