We need to express this statement into a equation:
First of all. We will walk through the statement step by step into a mathematical language, so:
1. The sum of five and x:
x + 5
2. Twice the sum of five and x:
2(x + 5)
3. Eight less than x:
(x-8)
Finally the whole statement is:
4. <span>Twice the sum of five and x is eight less than x:
</span>
2(x + 5) = (x-8)
2x + 10 = x - 8
x = -18
Answer: 246
Step-by-step explanation:
As per given description , we have
Population standard deviation: ![\sigma=16](https://tex.z-dn.net/?f=%5Csigma%3D16)
Critical value for 95% confidence = ![z_{\alpha/2}=1.96](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D1.96)
margin of error : E= 2
Formula to find the required sample size : -
![n=(\dfrac{z_{\alpha/2}\sigma}{E})^2\\\\=(\dfrac{1.96\times16}{2})^2\\\\=245.8624\approx246](https://tex.z-dn.net/?f=n%3D%28%5Cdfrac%7Bz_%7B%5Calpha%2F2%7D%5Csigma%7D%7BE%7D%29%5E2%5C%5C%5C%5C%3D%28%5Cdfrac%7B1.96%5Ctimes16%7D%7B2%7D%29%5E2%5C%5C%5C%5C%3D245.8624%5Capprox246)
Hence, the required minimum sample =246
P = a + b + c....for c
P - a - b = c
It will take Zach 2 hrs to get 8 miles because he is running at a constant of 4
while tommy is running at a constant of 3 it will take him 3 and a half hrs to run 8 miles
Answer:
A <u>postulate</u> is accepted to be true without proof, while a <u>theorem </u>is an assertion that can be proven using the rules of logic.
Explanation:
In mathematics, a postulate is a statement that is considered to be true without looking for any proof of that statement. Other hypotheses or statements can be tested using a postulate as a standard. A postulate is not only significant in mathematics but also plays an important role in understanding the concept of physics.
A theorem can be described as a statement that can be proved right by using logical pieces of evidence.