Given that(4,6) is on the graph of f(x) find the corresponding point for the function f(-4x)
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Answer:
B.a vertical shift of 9 units up
Step-by-step explanation:
Given
It means shifting unit vertically.
Now, we will find the value of for the given function
Hence, vertical shift of 9 units.
The confidence interval is
. This means that we can be 99% confident that the mean number of books people read lies between 9.15 and 11.85.
To find the confidence interval, we first find the z-score associated with it:
Convert 99% to a decimal: 0.99
Subtract from 1: 1-0.99=0.01
Divide by 2: 0.01/2 = 0.005
Subtract from 1: 1-0.005 = 0.995
Using a z-table (http://www.z-table.com) we see that this is associated with a z-score between 2.57 and 2.58. Since both are equally far from this value we will use 2.575.
We calculate the margin of error using
This means that the confidence interval is
The lower limit is given by 10.5-1.35 = 9.15.
The upper limit is given by 10.5+1.35 = 11.85
To find the confidence interval, we first find the z-score associated with it:
Convert 99% to a decimal: 0.99
Subtract from 1: 1-0.99=0.01
Divide by 2: 0.01/2 = 0.005
Subtract from 1: 1-0.005 = 0.995
Using a z-table (http://www.z-table.com) we see that this is associated with a z-score between 2.57 and 2.58. Since both are equally far from this value we will use 2.575.
We calculate the margin of error using
This means that the confidence interval is
The lower limit is given by 10.5-1.35 = 9.15.
The upper limit is given by 10.5+1.35 = 11.85
We need to find 240,000 written as a whole number multiplied by a power of ten.
We need to get rid of the four zeros behind 24 in 240,000.
24 would be our whole number.
We would need to multiply 24 by 10,000 to get 240,000.
10,000 is equal to because there are 4 zeros. Ex. when multiplying 200 by 30, we first multiply 2 * 3 then we add 3 zeros to the end of 6. So for 10*10*10*10, we add 4 zeros to the end of 1 which equals 10,000.
So the answer would be 24 ×