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OLga [1]
3 years ago
6

Find the slope of the line containing the two points. (0,3),(4,0) Please show work

Mathematics
1 answer:
Delvig [45]3 years ago
5 0

Answer:

m=-\frac{3}{4}.

Step-by-step explanation:

We have been given coordinates of two points on a line. We are asked to find the slope of the line using given points.    

We will use slope formula to solve our given problem.

m=\frac{y_2-y_1}{x_2-x_1}, where,  

m = Slope of line,

y_2-y_1 = Difference between two y-coordinates on the line.

x_2-x_1 = Difference between two x-coordinates of the same y-coordinates.

Let (0,3)=(x_1,y_1) and (4,0)=(x_2,y_2)

Substitute coordinates of the given points in slope formula:

m=\frac{0-3}{4-0}

m=\frac{-3}{4}

m=-\frac{3}{4}

Therefore, the slope of the line passing through given points is -\frac{3}{4}.

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Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Sample size, n = 30

Tcritical value = 2.045

Null hypothesis :

H0: μ = 9.08

Alternative hypothesis :

H1: μ≠ 9.08

Sample mean, m = 8.25

Samole standard deviation, s = 1.67

Test statistic : (m - μ) ÷ s/sqrt(n)

Test statistic : (8.25 - 9.08) ÷ 1.67/sqrt(30)

Test statistic : - 0.83 ÷ 0.3048988

Test statistic : - 2.722

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Decision region :

Reject Null ; if

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-2.722 < - 2.045 ; We reject the Null

Using the α - level (confidence interval) 0.05

The Pvalue for the data from Tstatistic calculator:

df = n - 1 =. 30 - 1 = 29

Pvalue = 0.0108

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0.0108 < 0.05 ; Hence, we reject the Null

4 0
2 years ago
In circle O, AD and BE are diameters. What is MAE?
liraira [26]

Answer:

132°

Step-by-step explanation:

∠AOB = ∠EOD = 3x ( vertical angles )

∠AOB + ∠BOC = 90, that is

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3.5x + 34 = 90 ( subtract 34 from both sides )

3.5x = 56 ( divide both sides by 3.5 )

x = 16

∠AOE + ∠EOD = 180 ( straight angle )

∠AOE + 3x = 180

∠AOE + (3 × 16) = 180

∠AOE + 48 = 180 ( subtract 48 from both sides )

∠AOE = 132°



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