Step-by-step explanation:
You can use the distributive property
-(a - b + c) = -a + b - c
So, the answer to this is -8 + 1 - 5.
First you want to subtract 36
so it looks like this ![\sqrt[4] {(4x+164)^3}=64](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%20%7B%284x%2B164%29%5E3%7D%3D64)
Then you want to cancel out the square root 4 by raising that to the 4th power (you must do this to both sides)
which is equal to 
Then you take the cube root to both sides [tex]\sqrt[3]{(4x+164)^3}=\sqrt[3]{16777216}[tex]
Then you end up with the equation 4x+164=256
Then subtract 164 to both sides
4x=92
then divide 92 by 4
Then you get x=23
The mean, median, standard deviation, and interquartile range for each data set is given below.
<h3>What is the definition of Interquartile Range (IQR)?</h3>
When arranged from lowest to highest, the IQR represents the central 50% of values.
Find the median (middle value) of the lower and higher half of the data to get the interquartile range (IQR).
These are the quartile 1 (Q1) and quartile 3 (Q3) values (Q3). The difference between Q3 and Q1 is the IQR.
<h3>What are the measures of central tendency for Manuels Data?</h3>
Using the statistical tool, the following were arrived at:
- Standard Deviation = 3.13961
- Mean = 8
- Median = 8
- IQR = Q3-Q1 = 10 - 6 = 4
<h3>What are the measures of central tendency for Grethcen's Data?</h3>
Using the statistical tool, the following were arrived at:
- Standard Deviation = 4.68737.
- Mean = 9.6
- Median = 9
- IQR = IQR = Q3-Q1 = 12 - 7 = 5.
See the respective Histograms attached.
Learn more about mean at:
brainly.com/question/1136789
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bolts of length more than
, and less than
will be destroyed
= 13.20 cm and 12.80 cm
<u>Step-by-step explanation:</u>
Here we have , A manufacturer of bolts has a quality-control policy that requires it to destroy any bolts that are more than 2 standard deviations from the mean. The quality-control engineer knows that the bolts coming off the assembly line have mean length of 13 cm with a standard deviation of 0.10 cm. We need to find For what lengths will a bolt be destroyed .Let's find out:
A manufacturer of bolts has a quality control policy that requires it destroy any bolts that are more than 2 standard deviations from the mean.
mean length= 
standard deviation= 
2 standard deviation from mean= 
Therefore, bolts of length more than
, and less than
will be destroyed
= 13.20 cm and 12.80 cm