Answer:
Option (d).
Step-by-step explanation:
Note: The base of log is missing in h(x).
Consider the given functions are
The function m(x) can be written as
...(1)
The translation is defined as
.... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
Therefore, we have to translate each point of the graph of h(x) 3 units left to get the graph of m(x).
Hence, option (d) is correct.
Answer:
30.285 m²
Step-by-step explanation:
C = 2πr
2 · π · 2
≈ 12.57
12.57 ÷ 2 = 6.285
10 - 2 = 8
8 · 4 ÷ 2
32 ÷ 2
16
2 · 4 = 8
6.285 + 8 + 16
30.285
Step-by-step explanation:
5x-(x+3)=1/3(9x+18)-5
5x-x+3=3x+6-5
1/3 multiplied by 9/1 is three because if you take away the ones and put your problem like this: 9/3, you'll get 3.
1/3 multiplied by 18/1 is six because if you take away the ones and switch to division, it'll look like this: 18/3. 18/3 is 6.
5x-1x+3=3x+6-5
If a variable is alone, you should - in this case - put a one before it, but if the variable is alone you should know that it's automatically a one.
4x+3=3x-1
6-5=1 Simple math problem, probably self explanatory
4x+3=3x-1
Subtract 3x from 4x and you'll get 1x because 4-3 is 1.
1x+3=-1
Then you add 3 to -1 which is 2.
The answer is 1x=2
Or you could've done:
4x+3=3x-1
-4x -4x
3=-1x-1
+-1 +-1
2=1x
It's the same answer, but all I did was subtract the 4x from the 4x and 3x.
Answer:
So we can find this probability:
And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got:
Step-by-step explanation:
Let X the random variable that represent the diamters of interest for this case, and for this case we know the following info
Where 
and 
We can begin finding this probability this probability
For this case they select a sample of n=79>30, so then we have enough evidence to use the central limit theorem and the distirbution for the sample mean can be approximated with:
And the best way to solve this problem is using the normal standard distribution and the z score given by:
And we can find the z scores for each limit and we got:
So we can find this probability:
And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got:
