Answer:
4
Step-by-step explanation:
Slope refers to the steepness of the line.
Slope is equal to change in value of y divided by change in value of x.
The slope of the secant line is given by 
.
Given points are 
So, slope of the secant line is 
(i) At x = 4.9,
(ii) At x = 4.99,
(iii) At x = 4.999,
(iv) At x = 4.9999,
(v) At x =5.1,
(vi)
At x = 5.01,
(vii) At x = 5.001,
(viii) At x = 5.0001,
(b)
Slope of the tangent line is 4.
Answer:
32 m
Step-by-step explanation:
The distance across the river is give as x and we are interested in finding the value of x.
Both the triangles are similar by AA Postulate.
Therefore,
20/x = 10/16 (by c.s.s.t.)
2/x = 1/16
x = 16*2
x = 32 m
The answer is 24.5. Just plug the numbers in
Your answer is b. hope this helps :)
Answer:
3.4
Step-by-step explanation:
Standard deviation of a population is defined as:
σ² = ∑(xᵢ − μ)² / n
The standard deviation of a sample is defined as:
s² = ∑(xᵢ − x)² / (n - 1)
It's not clear which one we have, so let's calculate both.
First, we must find the mean.
μ = (5+12+15+10+12+6+8+8) / 8
μ = 9.5
Now we find the squares of the differences:
(5-9.5)² + (12-9.5)² + (15-9.5)² + (10-9.5)² + (12-9.5)² + (6-9.5)² + (8-9.5)² + (8-9.5)²
= 80
Divide by n:
σ² = 80 / 8
σ² = 10
And take the square root:
σ = √10
σ ≈ 3.2
That's not one of the answers, so let's try the standard deviation of a sample instead of a population.
Instead of dividing by n, we'll divide by n-1:
s² = 80 / 7
And take the square root:
s = √(80/7)
s ≈ 3.4
So that must be it.
