Answer:
<u>rational.</u>
Step-by-step explanation:
This is rational under the closure property of multiplication which states that the product of 2 values in the same set will also be a member of the same set, which in this case is the rational number set.
X^2-6x=13
(x-3)^2-9=13
(x-3)^2=22
(x-3)= +-sqrt22
x = sqrt22+3 or x = -sqrt22+3
Answer:
When the sample size is increased from n = 9 to n = 45, the standard deviation of the sample mean decreases from 1.167 to 0.522.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, the sample means with size n can be approximated to a normal distribution with mean
and standard deviation ![s = \frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In this problem, we have that:
![\sigma = 3.5](https://tex.z-dn.net/?f=%5Csigma%20%3D%203.5)
n = 9
![s = \frac{3.5}{\sqrt{9}} = 1.167](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B3.5%7D%7B%5Csqrt%7B9%7D%7D%20%3D%201.167)
n = 45
![s = \frac{3.5}{\sqrt{45}} = 0.522](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B3.5%7D%7B%5Csqrt%7B45%7D%7D%20%3D%200.522)
When the sample size is increased from n = 9 to n = 45, the standard deviation of the sample mean decreases from 1.167 to 0.522.
If you set the two equations equal to each other, then solve for x, and then you substitute your answer into one of the equations you will get your solution. 8x+4=10x-6 4=2x-6 10=2x 5=x 10(5)-6=44 8(5)+4=44 44 IS YOUR ANSWER.
The unit of measurement that is used for the water in the swimming pool is 2.3×10⁴ gallons.
<h3>What is the Units conversion?</h3>
Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm,
though the real measurement is still the same the units and numerical values have been changed.
As it is given that the volume of the pool or the amount of water that is in the pool is equal to 2.3×10⁴ units.
We know that an average swimming pool has a volume of water that is in gallons, therefore, the unit of water that will be filled in the swimming pool will be equal to 2.3×10⁴ gallons.
Hence, the unit of measurement that is used for the water in the swimming pool is 2.3×10⁴ gallons.
Learn more about Units conversion:
brainly.com/question/4736731