Step 1: Simplify both sides of the equation.
2x−3+7x+1=16
2x+−3+7x+1=16
(2x+7x)+(−3+1)=16(Combine Like Terms)
9x+−2=16
9x−2=16
Step 2: Add 2 to both sides.
9x−2+2=16+2
9x=18
Step 3: Divide both sides by 9.
9x
/9 = 18
/9
Therefore, x=2
Answer:
x is 2.
Yes, yes it is equal. is there a picture or graph or something?
Answer:
B. This statement is false. A true statement is, "As the size of a sample increases, the standard deviation of the distribution of sample means decreases
Step-by-step explanation:
Standard deviation of distribution of sample means = ![\sigma_{m}](https://tex.z-dn.net/?f=%5Csigma_%7Bm%7D)
Sample size = n
Population standard deviation = ![\sigma](https://tex.z-dn.net/?f=%5Csigma)
The formula to calculate the standard deviation of distribution of sample means is:
![\sigma_{m}=\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Csigma_%7Bm%7D%3D%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
From the above relation we can see that:
Standard deviation of the distribution of sample means is inversely related to the sample size. In inverse relation if one quantity increases the other will decrease. So, if the size of the sample is increased, the standard deviation of the distribution of sample means will Decrease.
Hence, the given statement is False. Therefore, the correct answer will be:
B. This statement is false. A true statement is, "As the size of a sample increases, the standard deviation of the distribution of sample means decreases"
Answer:
25 in
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
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Identify</u>
Leg a = 24
Leg b = 7 in
Leg c = <em>x</em>
<em />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Pythagorean Theorem]: 24² + 7² = x²
- Evaluate exponents: 576 + 49 = x²
- Add: 625 = x²
- [Equality Property] Square root both sides: 25 = x
- Rewrite/Rearrange: x = 25
Answer:
1/3
Step-by-step explanation:
The number of people over 40 is 20 + 30 + 35 = 85.
So the probability is 85/255, which reduces to 1/3.