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3 years ago

What is the slope of the line?

Mathematics

1 answer:

Anestetic [448]3 years ago

5 0

Hi there!

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I believe your answer is:

m = (7/4)

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Here’s why:

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$\boxed{\text{The slope formula is rise over run.}}\\\\m=\frac{\text{Rise}}{\text{Run}}\\\\m=\frac{y_2-y_1}{x_2-x_1}\\-------------\\(x_1,y_1) \text{ and } (x_2,y_2) \text{ are two points that are on the line.}$

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The line passes through the points (3,4) and (-1, -3).

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$\boxed{\text{Calculating the Slope:}}\\\\\rightarrow m = \frac{-3-4}{-1-3}\\\\\rightarrow m=\frac{-7}{-4}\\\\\rightarrow m=\boxed{\frac{7}{4}}$

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Hope this helps you. I apologize if it’s incorrect.

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3 years ago

A test consists of 100 multiple choice questions, each with five possible answers, only one of which is correct. Find the mean a

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Answer: Mean = 20 and standard deviation = 4

Step-by-step explanation:

Let x represents the success of getting the correct answer.

Here, the total number of trials(n) = 100

The probability of getting the correct answer, p = 1/5

Thus, the mean of the number of correct answer,

$\mu_x= np$

$\mu_x= 100\times 1/5$

$\mu_x= 20$

Now, the standard deviation, $\sigma_x= \sqrt{n\times p\times (1-p)}$

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4 years ago

Which shows the correct substitution of the values a, b, and c from the equation -2=-x+x^2-4 into the quadratic formula?

Greeley [361]

Given the equation:

(1) $-2=-x+ x^{2}-4$

We need to find a, b and c. So, we know that a quadratic equation is given by:

(2) $ax^{2}+bx+c=0$

Then, we need to order the equation (1) and to adjust it to the equation (2), so:

$x^{2}-x-2=0$

So, if we compare these two equations, the conclusion is:

$a=1$
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(3) $x= \frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$

Substituiting a, b and c into (3):

$x= \frac{-(-1)\pm \sqrt{(-1)^{2}-4(1)(-2)}}{2(1)}$

Finally, the results are two values:

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3 years ago

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Firdavs [7]

Answer:

Step-by-step explanation:

(b)

18 percent of 2 is 0.36

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(a)