Answer:
Mean = 30.68
Standard deviation = 6.095
Two standard deviations above the mean = 42.87
Step-by-step explanation:
Given the following data :
21; 21; 22; 23; 24; 24; 25; 25; 28; 29; 29; 31; 32; 33; 33; 34; 35; 36; 36; 36; 36; 38; 38; 38; 40
Mean = Σ(x) / n
n = 25
Σ (X) = 767
Mean (m) = 767 / 25
Mean (m) = 30.68
Standard deviation : sqrt[Σ(x - m) / n]
Using a calculator :
Standard deviation = 6.095 ( 2 decimal places)
2 standard deviations above the mean :
Mean + 2(standard deviation)
Mean + 2(6.095)
30.68 + 12.19
30.68 + 12.19
= 42.87
Answer:
so 7+7=14
then u add 2 to 14
which = 16
7+9=16
the u - the 2
and y get 14
that's how u can make sure ur answer is right
Answer:
12.57 units
Step-by-step explanation:
i put the explanation in the picture because i didnt know how to put it in here
Answer:
w = -3/8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
-6(w + 2) = w - 9 + 3(3w + 1)
<u>Step 2: Solve for </u><em><u>w</u></em>
- Distribute: -6w - 12 = w - 9 + 9w + 3
- Combine like terms: -6w - 12 = 10w - 6
- Add 6w to both sides: -12 = 16w - 6
- Isolate <em>w</em> term: -6 = 16w
- Isolate <em>w</em>: -3/8 = w
- Rewrite: w = -3/8
This is the concept of inequalities:
maximum capacity for the theater=425
Number of people in the theater=50
thus the inequality for the that will represent the number p of additional people who can be seated will be:
50+p≤425
hence:
p≤(425-50)
p≤375
Answer: p≤375
