Answer:
x = 12
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
3x + 6(x - 11) = 5x - 18
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 6: 3x + 6x - 66 = 5x - 18
- Combine like terms: 9x - 66 = 5x - 18
- Isolate <em>x</em> terms: 4x - 66 = -18
- Isolate <em>x</em> term: 4x = 48
- Isolate <em>x</em>: x = 12
Y= 32
Hope that this helps
Answer:
90
12
0.0154
Step-by-step explanation:
a) #Possible experimental run=#Temp x #pres x #cat=3x5x6=90
b) #Possible experimental run=(Temp. lowest) x 2.pres x #cat=1x2x6=12
c) C="different catalyst is used on each run"
In the first, I can choice 6 of 6 catalysts, in the second 5 of 6,...
then: P(C) = 6/6 x 5/6 x 4/6 x 3/6 x 2/6 x 1/6 = 5/324 = 0.0154
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.
Answer:
x=5
Step-by-step explanation: