Answer:
Step-by-step explanation:
1). (10x - 27)° = (2x + 29)°
10x - 27 = 2x + 29
8x = 56
x = 7
<em>m∠W</em> = (2(7) + 29)° <em>= 43°</em>
2). (14x + 4)° + 51° + 55° = 180°
14x + 110 = 180
<em>x = 14</em>
Answer:
Slope = 6
Step-by-step explanation:
Reading your description carefully, the equation of line has been given to be
When we compare this with the standard form of a straight line
We immediately see that the slope or gradient m = 6.
Alternatively, when we consider the coordinates of the points mentioned, we have
(1, 5) ; (0, -1) ; (-1, -7)
We can take any two points out of these three and calculate the slope using the formula
For example, let us consider the points (1, 5) and (-1, -7)
Here x₁ = 1; x₂ = -1 and y₁ = 5; y₂ = -7
Plugging the numbers in the above formula, we have
This agrees with what we calculated directly from the equation of the line!
Hence, slope of the line on the graph = 6
To calculate for the standard deviation given the
probability, we use the formula:
s = sqrt (n p q)
where s is standard deviation, n is number of samples = 11,
p is probability of success = 0.7, q = 1 – p = 0.30
s = sqrt (11 * 0.7 * 0.3)
<span>s = 1.52</span>
The graph of the sequence M , we define M recursively using function notation
Given :
the graph of the sequence M
Lets write the recursive function using the given points
First point is (1,7) and second point is (2,5) then (3,3) and so on
For recursive function , we use the initial point (1,7)
when n=1, f(n)=7
the y values of the point are decreasing by 2. Common difference is -2
Recursive function is
where n=2,3,4...
Learn more : brainly.com/question/10676131
