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salantis [7]
3 years ago
6

Which is the formula for slope of a line.

Mathematics
2 answers:
PilotLPTM [1.2K]3 years ago
4 0

If the line passes through the points A(x_1,y_1) and B(x_2,y_2), then the slope of the line can be determined as

m=\dfrac{y_2-y_1}{x_2-x_1}.

Then the equation of the line is

y=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)+y_1.

Answer: correct choice is B

In-s [12.5K]3 years ago
3 0

<u>Answer:</u>

The correct answer option is m=\frac{y_2-y_1}{x_2-x_1}.

<u>Step-by-step explanation:</u>

To the find of the slope of a line, we need at least two points that are on the line: (x1,y_1) and (y_1,y_2).

With the help of the coordinates of these two points, we can find the slope of the line by taking the ratio of the difference in values of y by the difference in values of x.

The slope of a line is denoted by m:

m=\frac{y_2-y_1}{x_2-x_1}


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About 45.22

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Triangle #2

Step-by-step explanation:

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The distribution of a sample of the outside diameters of PVC pipes approximates a normal distribution. The mean is 14.0 inches,
lakkis [162]

Answer:

A. 13.9 and 14.1 inches

See explanation below.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the outside diameters of a population, and for this case we know the distribution for X is given by:

X \sim N(14,0.1)  

Where \mu=14 and \sigma=0.1

If we want the middle 68% of the data we need to have on the tails 16% on each one

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.84   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.16 of the area on the left and 0.84 of the area on the right it's z=-0.994. On this case P(Z<-0.994)=0.16 and P(z>-0.994)=0.84

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.994

And if we solve for a we got

a=14 -0.994*0.1=13.9

And since the distribution is symmetrical for the upper limit we can use z = 0.994 and we have:

z=0.994

And if we solve for a we got

a=14 +0.994*0.1=14.1

So the correct answer for this case would be:

A. 13.9 and 14.1 inches

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F(x)3x+5/x what is f(a+2)
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Answer:

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Step-by-step explanation:

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