(-5)+7=2
2-18= -16
-16+4= -12
Given:
mean, μ = 11 lb
Std. deviation, σ = 2.1
Let x = the weight that separates the top 5% of the crop.
The z-score is
z = (x - μ)/σ
= (x - 11)/2.1
From standard z-table for normal distribution,
P(z=1.645) = 0.95
Therefore
(x - 11)/2.1 = 1.645
x - 11 = 1.645/2.1 = 0.7833
x = 11.783
Answer: 11.8 lb (nearest tenth)
Answer: The answer is 20.
Step-by-step explanation: Given that the smallest angle of rotation for a regular hexagon is 18°. We are to find the number of sides of the polygon.
Since the polygon is regular, so all its sides and angles are equal. Hence, each angle of the polygon is 18°.
We know that the number of sides of the regular polygon with each angle 'α'
is given by
Here, α = 18°, then we have
Thus, the number of sides will be 20.
A statement correctly compares functions f and g is that: C. they have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.
<h3>What is a function?</h3>
A function can be defined as a mathematical expression that defines and represents the relationship between two or more variable, which is typically modelled as input (x-values) and output (y-values).
<h3>The types of function.</h3>
In Mathematics, there are different types of functions and these include the following;
- Piece-wise defined function.
Function g is represented by the following table and a line representing these data is plotted in the graph that is shown in the image attached below.
x -1 0 1 2 3 4
g(x) 24 6 0 -2
Based on the line, we can logically deduce the following points:
- y-intercept approaches -2.43 to 24.86.
- x-intercept approaches negative infinity (-∞) to infinity (∞).
This ultimately implies that, a statement correctly compares functions f and g is that both functions have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.
Read more on function here: brainly.com/question/9315909
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Answer:
Option (4)
Step-by-step explanation:
Table for the points from the graph attached,
x y xy
2.2 1.8 4.84 3.24 3.96
3.2 1.8 10.24 3.24 5.76
3.6 3 12.96 9 10.8
4.8 3.5 23.04 12.25 16.8
5.2 6.2 27.04 38.44 32.24
6.4 4.5 40.96 20.25 28.8
7.5 7.8 56.25 60.84 58.5
8.5 6.2 72.25 38.44 52.7
n = 8
Formula for the correlation coefficient
r =
r =
r =
r = 0.87
r ≈ 0.9
Therefore, Option (4) is the answer.