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3 years ago

Find the slope of the line through the points (-2, 5) and (3, -16)

Mathematics

1 answer:

lianna [129]3 years ago

7 0

Hello!

Step-by-step explanation:

<h2>Lesson: Exploring Slope and Slope-intercept form</h2>

Slope formula: $\frac{Y^2-Y^1}{X^2-X^1}=\frac{rise}{run}$

$\frac{(-16)-5=-21}{3-(-2)=3+2=5}=\frac{-21}{5}=-\frac{21}{5}$

Therefore, the slope is -21/5

Answer is -21/5

Hope this helps!

Thanks!

-Charlie

Have a great day!

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3 years ago

6. The mean number of hours of flying time for pilots at Continental Airlines is 37 hours per month (The Wall Street Journal, Fe

SashulF [63]

Answer:

The marginal error is 2.355

Confidence interval is $(34.645,\ 39.355)$

The LB and UB are 34.645 and 39.3555 respectively.

Step-by-step explanation:

Consider the provided information.

n = 49, s = 8.2 c = 95%and $\bar x=37$

Degree of freedom is: n-1 = 49-1 = 48.

$\alpha =\frac{1-c}{2}= \frac{1-0.95}{2}\\\alpha = \frac{0.05}{2}= 0.025$

From the table $t_{\alpha /2}=2.010635$

Marginal error is:

$E=t_{\alpha /2}\times \frac{s}{\sqrt{n}}$

$E=2.0106\times \frac{8.2}{\sqrt{49}}$

$E=2.0106\times \frac{8.2}{7}$

$E=2.0106\times 1.171$

$E=2.355$

Hence, the marginal error is 2.355.

Part (B)

95% confidence interval estimate

$(\bar x-E,\ \bar x+E)$

$(37-2.355,\ 37+2.355)$

$(34.645,\ 39.355)$

Thus, the LB and UB are 34.645 and 39.3555 respectively.

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3 years ago

Find the slope of the line through the points (10,6) and (-1,8)

stepladder [879]

Answer:

-2/11

Step-by-step explanation:

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3 years ago

If 83 : 45 :: 72 : ? solve and find the answer

olga55 [171]

Answer: $x=\dfrac{3240}{83}$

Step-by-step explanation:

Given: 83 : 45 :: 72 : ?

Let unknown quantity (?) be x.

Now, x : y :: a : b

$\Rightarrow\ \dfrac{x}{y}=\dfrac{a}{b}$

83 : 45 :: 72 : x

$\Rightarrow\ \dfrac{83}{45}=\dfrac{72}{x}\\\\\Rightarrow\ x=\dfrac{72}{83}\times45\\\\\Rightarrow\ x=\dfrac{3240}{83}$

Hence, $x=\dfrac{3240}{83}$

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3 years ago