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nataly862011 [7]
3 years ago
8

The slope of a line parallel to y = 7x + 8 is

Mathematics
1 answer:
nata0808 [166]3 years ago
4 0

the slope is 7 because when you have a number with the "x" at the side is the slope like on this case y=7x+8 the slope will be m=7.

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A line passes through the given points. Write an equation for the line in point-slope form. Then rewrite the equation in slope-i
Andre45 [30]

Answer:

The answer to your question is  a)      y - 2 = -5(x - 3)  

                                                      b)     y = -5x + 17  

Step-by-step explanation:

Data

A (1, 12)

B (3, 2)

Process

1.- Find the slope

Formula

m = \frac{y2 - y1}{x2 - x1}

Substitution

m = \frac{2 - 12}{3 - 1} = \frac{-10}{2} = - 5

2.- Find the equation in point slope form

Equation

                             y - y1 = m(x - x1)

Substitution and equation

                           y - 2 = -5(x - 3)

3.- Find the slope-intercept form

Expand the point slope form

                           y - 2 = -5x + 15

Simplify

                           y = -5x + 15 + 2

Equation

                          y = -5x + 17                                            

6 0
3 years ago
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Which of the following expressions is not equivalent to 1?
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Step-by-step explanation:

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4 0
3 years ago
3 times the sum of 3/4 + 2/6
Anna11 [10]
3 * (3/4 + 2/6) = 3 1/4
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What is the minimum number of intersecting lines that lay in a plane?
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3 years ago
A statistician selected a random sample of 125 observations from a population with a known standard deviation equal to 16 and co
serious [3.7K]

Answer:

Step-by-step explanation:

Given that a statistician selected a random sample of 125 observations from a population with a known standard deviation equal to 16 and computed a sample mean equal to 77

We can use Z critical values since population std deviation is known. Also sample size >30

We find std error of mean = \frac{16}{\sqrt{125} } \\=1.4311

Margin of error = Z critical value * 1.4311

Z critical values for 93% = 1.81

for 89% = 1.60

n Std error Z critical  Conf interval  

            89%    

     

125 1.4311     1.6  (74.71024 79.28976 )

     

     

          93%    

            1.81  (74.409709 79.590291 )

We find that when confidence level increases interval width increses.

c) When sigma changes to 441, std error changes to \frac{16}{\sqrt{441} } \\=0.7619

So we get

n Std error Z critical  Conf interval  

           89%    

     

441  0.7619     1.6  (75.781 78.219 )

     

     

         93%    

           1.81  (75.621 78.37904)

d) When n = 625, std error changes to 16/25 = 0.64

n Std error Z critical  Conf interval  

        89%    

     

441 0.64 1.6        (75.976 78.024 )

     

     

       93%    

        1.81      (75.842 78.1584)

When sample size increases, confidence interval width decreases.

8 0
3 years ago
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