Answer:
drawing the graph of
The graph is attached in the images below.
Option A is correct option.
Step-by-step explanation:
We are given:
and
We need to find graph of (fog)(x)
We know that (fog)(x)= f(g(x))
Placing x=g(x) i,e x=|x|
Now, drawing the graph of
The graph is attached in the images below.
Option A is correct option.
Answer:
S is closest to B.
Step-by-step explanation:
Given a directed line segment from point A to B.
Point P divides the line A to B in a ratio 3:4.
Point Q divides the line A to B in a ratio 4:3.
Point R divides the line A to B in a ratio 2:5.
Point S divides the line A to B in a ratio 5:2.
To find:
The point which is closest to the point B.
Solution:
Here, to find the point closest to B we need to find the distances PB, QB, RB and SB.
We can see the sum of ratio 3:4, 4:3, 2:5 and 5:2 is 7.
Let the distance between A and B be 7 units.
Now, the distances can be found easily.
The point which has the minimum distance from point B, will be nearest to B.
We can clearly observe that SB is the minimum distance.
Therefore, <em>S is closest to B</em>.
The piece-wise linear functions can be written as follows:
A linear function is modeled by:
y = mx + b
In which:
For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:
.
For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:
.
For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:
m = (-3 - (-5))(3 - 2) = 2.
The rule is:
y = 2x + b.
When x = 2, y = -5, hence:
-5 = 2(2) + b
b = -9.
Hence:
.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
a) For the first part we have a sample of n =10 and we want to find the degrees of freedom, and we can use the following formula:
d.9
b)
a.15
c) For this case we have the sample size n = 25 and the sample variance is , the standard error can founded with this formula:
Step-by-step explanation:
Part a
For the first part we have a sample of n =10 and we want to find the degrees of freedom, and we can use the following formula:
d.9
Part b
From a sample we know that n=41 and SS= 600, where SS represent the sum of quares given by:
And the sample variance for this case can be calculated from this formula:
a.15
Part c
For this case we have the sample size n = 25 and the sample variance is , the standard error can founded with this formula: