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liq [111]
3 years ago
10

Find the slope of the line that passes through the points (-2,4) and (-5,-6)

Mathematics
1 answer:
natali 33 [55]3 years ago
4 0

\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-6}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-6-4}{-5-(-2)}\implies \cfrac{-10}{-5+2}\implies \cfrac{-10}{-3}\implies \cfrac{10}{3}

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castortr0y [4]

Answer:

1/2 x -5/2 = -5/4

-1 1/4 + -1/4

-1 2/4

- 1 1/2

4 0
2 years ago
You are curious about the average number of yards Matthew Stafford throws for each game for the Detroit Lions. You randomly sele
Damm [24]

Answer:

The margin of error for this estimate is of 14.79 yards per game.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.093

The margin of error is:

M = T\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample.

You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards.

This means that n = 20, s = 31.61

What is the margin of error for this estimate?

M = T\frac{s}{\sqrt{n}}

M = 2.093\frac{31.61}{\sqrt{20}}

M = 14.79

The margin of error for this estimate is of 14.79 yards per game.

3 0
3 years ago
. How many faces does a polyhedron with<br> 20 vertices and 30 edges have?
Alisiya [41]

Answer:

12

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
the expression 5n can be. used to find the total cost in dollars of bowling where n is the number of games bowled and 2 represen
sergiy2304 [10]
17 dollars for Vincent to bowl 3 gamees
4 0
3 years ago
Read 2 more answers
Identify the solutions to the quadratic equation!
Elenna [48]

The solution to the quadratic equation are option C) x= -5 and option E) x=3.

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

The given  quadratic equation is x²+2x-15 = 0.

Using the factorization method,

  • product of the roots should be -15.
  • Sum of the roots should be 2.

⇒ -15 = 5 \times -3

⇒ 2 = 5+(-3)

(x+5)(x-3) = 0

Therefore, x = -5 and x = 3

8 0
3 years ago
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