Answer:
The updated IQR is 14.54.
Step-by-step explanation:
The interquartile range is given by the difference between the 75th percentile(value that is greater than 75% of the measures) and the 25th percentile.
This means that each piece of wood is actually 5 inches shorter than the value recorded by the employee.
This means that the length of each wood is less than 5. However, the difference between the 75th percentile and the 25th percentile will stay the same, since both were subtracted by 5.
The updated IQR is 14.54.
Answer:
11126
Step-by-step explanation:
The <em>mean</em> of a set of data is another name for its <em>average</em>. It is the sum of the data, divided by the number of numbers in the sum.
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If you use a calculator to help you with the computation of the addition or division, you may as well use the calculator's "mean" function to do the job.
The mean of the given 6 values is their sum, divided by 6. The units of the mean are the same as those of the contributors.
(1117 +1409 +675 +536 +1398 +1621)/6 = 6756/6 = 1126 . . . . degrees F
The mean of the data is 1126 °F.
Answer:
Step-by-step explanation:
This is the sum identity for tangent(x + y), where x and y are angles measured in radians. The formula for tan(x + y) is
The first order of business is to find which 2 angles, when expressed in terms of the denominator 12, add up to equal 
We will use the first quadrant angles, and only the "important" ones:

When expressed in terms of the denominator of 12, these angles have the equivalent angles, in order from above:

We need to find the 2 whose numerators add up to a 5. That would be:

Remember that
and
so
angle x is
and angle y is
, making our tangent sum:

Filling that into our formula for the sum of tan(x + y):

It just so happens that
and
so our formula then becomes
which simplifies to
and then bring up the lower fraction and flip it to multiply giving you:

I have the feeling that you need to rationalize that denominator, and if you do that, the final answer will be:

I know I kind of left you hanging at the very end with rationalizing, but there was so much already that went into this problem in such depth, that I didn't want to risk possibly confusing you even more than I may have already done so. Try and follow the best that you can.
Answer:
2a: 5
2b: 7
2c: 10
2d: 2
2e: 3
2f: 2
Step-by-step explanation:
To solve all of these you just get the variable (x) by itself
2A: 9x-41=39-7x
Add 7x from both sides and then add 41 to get
16x=80
Divide by 16 and get x=5
2B: 3x-13=50-6x It's the same process as before for this question
Add 6x and 13 to both sides to get
9x=63
divide by 9 and get x=7
2C: 5x-17=83-5x
Add 5x and 17 to both sides
10x=100
divide by 10
x=10
2d: 13x-16=24-7x
Add 7x and 16 to both sides to get
20x=40
divide by 20 and get x=2
2e: 12x-13=53-10x
Add 10x and 13 to both sides to get
22x=66
divide by 22 and get x=3
2f: 17x-21=51-19x
Add 19x and 21 to both sides and get
36x=72
divide by 36 and get x=2
Answer:
so fx 3x-1 '4x+3
Step-by-step explanation:
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