The slope of this graph is - 4
Step-by-step explanation:
The slope of a line is
, where
and
are two points on the line- The slope of a horizontal line is zero
- The slope of a vertical line is undefined
∵ The graph is a line
∵ The line passes through points (1 , -2) and (0 , 2)
∴
= 1 and
= 0
∴
= -2 and
= 2
- Substitute these values in the rule below
∵ 
∴ 
∴ m = - 4
The slope of this graph is - 4
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Probability is defined as the <u>likelihood or the certainty</u> that an event is going to<u> occur or happen.</u>
The probability of randomly choosing a red and then a green marble is
.
The total number of marbles = 20
The number of green marbles= 3
The number of blue marbles = 12
The number of red marbles = 5
<u>The probability of choosing a red marble</u> = Number of red marbles / Total number of marbles
= 5/20
<u>In simplest fraction form</u> = 
We are told in the question that you keep the red marble you choose, So this means the <u>total number of marbles</u> left reduces to 19
<u>The probability of choosing a green marble is</u> = Number of green marbles / New total number of marbles
= 3/19
Therefore, <u><em>the probability of randomly choosing a red and then a green marble is </em></u>
P (Red) x P(Green)
= 1/4 x 3/19
= 
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Answer:
Next 3 of the sequence are 4, 7, 10
You are adding by 3.
-2 - -5= 3
-2 + 3=1
1+3=4
4+3=7
7+3=10
The circumference of circle with a radius of 63mm is 395.84
I hope this helps!
Answer:
226.9 in²
Step-by-step explanation:
The formula for circumference of a circle is:
C = 2πr, where π = 3.14 and r = the radius
The formula for area of a circle is
A = πr²
First, using the formula for circumference, you can solve for 'r':
53.42 = 2πr or 53.42 = 6.28r (divide) r = 8.5
Now, use the value of 'r' to solve for area:
A = π8.5² or 3.14(8.5)² = 226.9 in²