Answer:
<2 and <8
Step-by-step explanation:
Answer:
C.) Corresponding; B.) m<6 = m<2; and for the last one you probably have to divide so perhaps it might be 30 .
Step-by-step explanation:
The answer is D. The answer is D because you just keep multiplying each number by the same number.
6 • 8 = 48
7 • 8 = 56
Answer:
n = 34.4
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>
Step-by-step explanation:
<u>Step 1: Set Up</u>
Let's let our number be set by variable <em>n</em>.
We add 7 to it: n + 7
We then double that entire expression: 2(n + 7)
That expression is equal to 82.8: 2(n + 7) = 82.8
<u>Step 2: Solve for </u><em><u>n</u></em>
- [Division Property of Equality] Divide 2 on both sides: n + 7 = 41.4
- [Subtraction Property of Equality] Subtract 7 on both sides: n = 34.4
∴ Caroline's original number is 34.4.
Let
S = sum of the data values
n = number of data values
The mean M is equal to
M = S/n
since you add up the values and divide by n. We don't need to know what S or n are.
If we add 5 to each data value, then we're adding on n copies of 5, or 5n
The new mean N is
N = (S+5n)/(n)
N = (S/n) + (5n/n)
N = M + 5
The new mean is a result of taking the old mean M and adding on 5
So,
N = M+5
N = 10+5
N = 15
The standard deviation will remain the same because each data value hasn't moved in relation to one another. Every data value has been shifted up the same amount. For instance if A and B are two points in this data set, then A+5 and B+5 will be the same distance away. Apply this logic to any number of data values. While standard deviation isn't that simple, it still has a loose connection to "distance" of the values, or how spread out they are.
So that's why the final answer is choice C)
