Answer:
78.88%
Step-by-step explanation:
We have been given that

The z-score formula is given by

For 

For 

Now, we find the corresponding probability from the standard z score table.
For the z score -1.25, we have the probability 0.1056
For the z score 1.25, we have the probability 0.8944
Therefore, the percent of the trees that are between 20 and 30 years old is given by
0.8944 - 0.1056
= 0.7888
=78.88%
Answer: (-6,6)
explanation: Have A good day
Find the decimal equivalent of each and then put in order.
Steve 130 5/6= 130.83333
Riley 130 2/3= 130.66666
Nikolas 130.5
Carrie 130 7/12= 130.58333
Jorja 130.25
Now that they each have a decimal equivalent, we can put them in order from greatest to least.
Steve 130 5/6= 130.83333
Riley 130 2/3= 130.66666
Carrie 130 7/12= 130.58333
Nikolas 130.5
Jorja 130.25
ANSWER: A) Steve, Riley, Carrie, Nikolas, Jorja
Hope this helps! :)
Given:
The two functions are:


To find:
The type of transformation from f(x) to g(x) in the problem above and including its distance moved.
Solution:
The transformation is defined as
.... (i)
Where, a is horizontal shift and b is vertical shift.
- If a>0, then the graph shifts a units left.
- If a<0, then the graph shifts a units right.
- If b>0, then the graph shifts b units up.
- If b<0, then the graph shifts b units down.
We have,


The function g(x) can be written as
...(ii)
On comparing (i) and (ii), we get

Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).
Answer:
105 cm²
Step-by-step explanation:
The figure is composed of a rectangle and a triangle
area of rectangle = 15 × 6 = 90 cm²
area of triangle =
bh ( b is the base and h the height )
Here b = 15 - 9 = 6 and h = 11 - 6 = 5 , thus
area of triangle =
× 6 × 5 = 3 × 5 = 15 cm²
Total area = 90 + 15 = 105 cm²