Answer: look at the picture
Step-by-step explanation: hope this help
5 units
Explanation
Step 1
find the length of the side
the area of a square is given by :
![\text{Area}=\text{ }side^2](https://tex.z-dn.net/?f=%5Ctext%7BArea%7D%3D%5Ctext%7B%20%7Dside%5E2)
then Let
Area= 100 square units
replace and solve for side
![\begin{gathered} 100(un^2)=\text{ }side^2 \\ \text{square root in both sides} \\ \sqrt{100(un^2)}=\text{ }\sqrt{side^2} \\ \text{side}=10\text{(un)} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20100%28un%5E2%29%3D%5Ctext%7B%20%7Dside%5E2%20%5C%5C%20%5Ctext%7Bsquare%20root%20in%20both%20sides%7D%20%5C%5C%20%5Csqrt%7B100%28un%5E2%29%7D%3D%5Ctext%7B%20%7D%5Csqrt%7Bside%5E2%7D%20%5C%5C%20%5Ctext%7Bside%7D%3D10%5Ctext%7B%28un%29%7D%20%5Cend%7Bgathered%7D)
Step 2
now, the square is divided
now, to check the measure of the side length of each of the small squares we need divide the original side by 2
so
![\begin{gathered} \text{Side}_{small}=\frac{side}{2} \\ \text{replacing} \\ \text{Side}_{small}=\frac{10}{2} \\ \text{Side}_{small}=5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BSide%7D_%7Bsmall%7D%3D%5Cfrac%7Bside%7D%7B2%7D%20%5C%5C%20%5Ctext%7Breplacing%7D%20%5C%5C%20%5Ctext%7BSide%7D_%7Bsmall%7D%3D%5Cfrac%7B10%7D%7B2%7D%20%5C%5C%20%5Ctext%7BSide%7D_%7Bsmall%7D%3D5%20%5Cend%7Bgathered%7D)
therefore, the answer is
5 units
I hope this helps you
Answer:
Population Mean = 2.0
Population Standard deviation = 0.03
Step-by-step explanation:
We are given that the inspector selects simple random samples of 30 finished products and computes the sample mean product weight.
Also, test results over a long period of time show that 5% of the values are over 2.1 pounds and 5% are under 1.9 pounds.
Now, mean of the population is given the average of two extreme boundaries because mean lies exactly in the middle of the distribution.
So, Mean,
=
= 2.0
Therefore, mean for the population of products produced with this process is 2.
Since, we are given that 5% of the values are under 1.9 pounds so we will calculate the z score value corresponding to a probability of 5% i.e.
z = -1.6449 {from z % table}
We know that z formula is given by ;
~ N(0,1)
-1.6449 =
⇒
⇒
0.0608 *
{as sample size is given 30}
⇒
= 0.03 .
Therefore, Standard deviation for the population of products produced with this process is 0.0333.