Let <em>x</em> = 3.191919…. Then 100<em>x</em> = 319.191919…, and we have
100<em>x</em> - <em>x</em> = 319.191919… - 3.191919…
99<em>x</em> = 316
<em>x</em> = 316/99
Next, we have
316 = 297 + 19 = 3 × 99 + 19
so
316/99 = (3 × 99 + 19)/99 = 3 + 19/99
Question:
You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on constructing a confidence interval; however, you are not sure how many citizens should be included in the sample. If you want your sample estimate to be within 5 years of the actual mean with a confidence level of 97% , how many citizens should be included in your sample? Assume that the standard deviation of the ages of all the citizens in this community is 18 years.
Answer:
61.03
Step-by-step explanation:
Given:
Standard deviation = 18
Sample estimate = 5
Confidence level = 97%
Required:
Find sample size, n.
First find the Z value. Using zscore table
Z-value at a confidence level of 97% = 2.17
To find the sample size, use the formula below:
![n = (Z * \frac{\sigma}{E})^2](https://tex.z-dn.net/?f=%20n%20%3D%20%28Z%20%2A%20%5Cfrac%7B%5Csigma%7D%7BE%7D%29%5E2)
![n = ( 2.17 * \frac{18}{5})^2](https://tex.z-dn.net/?f=%20n%20%3D%20%28%202.17%20%2A%20%5Cfrac%7B18%7D%7B5%7D%29%5E2%20)
![n = (2.17 * 3.6)^2](https://tex.z-dn.net/?f=%20n%20%3D%20%282.17%20%2A%203.6%29%5E2%20)
![n = (7.812)^2](https://tex.z-dn.net/?f=%20n%20%3D%20%287.812%29%5E2%20)
![n = 61.03](https://tex.z-dn.net/?f=%20n%20%3D%2061.03%20)
Sample size = 61.03
Natural 9,53
whole 0,9,53
integers -14,9,0,53,-626
+integers 9,53
-integers -14,-626
Answer:
27.3 yards
Step-by-step explanation:
Since this triangle is a right triangle, this can be solved using the equation:
a^2 + b^2 = c^2
c^2 is the side opposite to the right angle (37)
So, you need to change the equation to where it is set equal to b^2.
Subtract a^2 on both sides.
b^2 = c^2 - a^2
Now, plug in the numbers you have.
b^2 = 37^2 - 25^2
Simplify.
b^2 = 1369 - 625
b^2 = 744
Now, to find b, take the square root of 744.
√744 = 27.3
It remain equal due to law of conservation of momentum