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frosja888 [35]
1 year ago
11

What is the slope of the line that passes through the points (-20, 18) and (30, 14)?

Mathematics
1 answer:
RideAnS [48]1 year ago
7 0
Gradient =

Change in Y
———————
Change in X

Change in Y is 18 - 14 = 4
Change in X is -20 - 30 = -50

Therefore the gradient is 4/-50 which is then simplified to - (2/25)
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The left and right page numbers of an open book are two consecutive integers whose sum is 577. Find these page numbers.
JulsSmile [24]

Answer:

288 and 289 are the two pages.

Step-by-step explanation:

5 0
2 years ago
Find the next three terms of the arithmetic sequence.<br> a) 9, 12, 15, ... b) 288, 252, 216, ...
Harlamova29_29 [7]

Answer:

a) 18,21,24

b)180, 144, 108

Step-by-step explanation:

4 0
2 years ago
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Quadrilateral WXYZ is a Parallelogram. Find the value of each variable.
Arisa [49]

Answer: a=3, b=1

A parallelogram have its opposite sides equal and parallel.

Step-by-step explanation:

SO, the quadrilateral WXYZ have its opposite sides equal as its a parallelogram.

From the given figure the side XY= WZ and XW= YZ, which gives two equations i.e

   Equation 1 is    3a-4=a+2       and     Equation 2 is     b+1=2b

Solving Equation 1                                     Solving equation 2

                    3a-a = 2+4                                    2b-b = 1                          

                    2a   =  6                                              b=1

                       a   =  3                    

So, by solving the two equations a=3 and b=1.

3 0
2 years ago
7. A number of minor automobile accidents occur at various high-risk intersections in Teton County despite traffic lights. The T
Anit [1.1K]

Answer:

Modification has not reduced the number of accidents.

Step-by-step explanation:

H_0: \mu\geq0\\H_a:\mu

                                 A  B  C   D   E   F  G   H

Before modification 5  7  6   4    8   9   8   10

After modification    3  7  7   0    4   6   8    2

Difference                -2 0  1   -4   -4   -3  0   -8

Mean of differences M_d = \frac{sum}{8}=\frac{2+0-1+4+4+3-0+8}{8}=2.5

Standard deviation of differences = \sqrt{\frac{\sum(x-\bar{x})^2}{n}}=2.9277

Formula of paired t test :

t=\frac{M_d}{\frac{s}{\sqrt{n}}}\\t=\frac{2.5}{\frac{2.9277}{\sqrt{8}}}\\t = 2.4152

Df = n-1 = 8-1 =7

t critical = t_{(df, \alpha)}=t_{7,0.01}=2.998

t critical> t calculated

So, We failed to reject null hypothesis

Hence modification has not reduced the number of accidents.

6 0
2 years ago
What is the slope of a line perpendicular to y = 2x + 3
hammer [34]

Answer:

-1/2

Step-by-step explanation:

The slope of a perpendicular line is opposite reciprocal. So the opposite of 2 is -2, and the reciprocal of 2 is 1/2.

3 0
3 years ago
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