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Nana76 [90]
3 years ago
8

Which is best definition of independent events

Mathematics
1 answer:
UkoKoshka [18]3 years ago
3 0

Answer:

it is b

Step-by-step explanation:

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Line g passes through points (5, 9) and (3, 2). Line h passes through points (9, 10) and (2, 12). Are line g and line h parallel
icang [17]

For this case we find the slopes of each of the lines:

The g line passes through the following points:

(x_ {1}, y_ {1}) :( 3,2)\\(x_ {2}, y_ {2}) :( 5,9)

So, the slope is:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {9-2} {5-3} = \frac {7} {2}

Line h passes through the following points:

(x_ {1}, y_ {1}) :( 9,10)\\(x_ {2}, y_ {2}) :( 2,12)

So, the slope is:

m = \frac {y_ {2} -y_ {1}}{x_ {2} -x_ {1}} = \frac {12-10} {2-9} = \frac {2} {- 7} = - \frac {2} {7}

By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.

It is observed that lines g and h are not parallel. We verify if they are perpendicular:

\frac {7} {2} * - \frac {2} {7} = \frac {-14} {14} = - 1

Thus, the lines are perpendicular.

Answer:

The lines are perpendicular.

8 0
3 years ago
the tempature dropped 8 degrees between 6:00 p.m. and midnight. The tempature at midnight was 26 degreesF. Write and solve an eq
sashaice [31]
D=degrees at 6

26-8=d
d=18

3 0
3 years ago
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Find the greatest common factor of 17 and 25
Ann [662]

Answer:

1

Step-by-step explanation:

A common factor is a number such that both 17 and 25 are divisible by that number. In this case, the greatest common factor of 17 and 25 is 1.

6 0
3 years ago
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What sales tax, at the rate of 5% must you pay on the purchase of a computer hard drive that cost $229?
White raven [17]
The answer is $11.45
6 0
3 years ago
What is the volume of the rectangular prism in simplest terms?
NikAS [45]

Answer:

V=w*h*l

Step-by-step explanation:

w=width

h=height

l=length

6 0
3 years ago
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