Answer:
$7.25
Step-by-step explanation:
Martina's savings is the difference between the bus cost and the carpool cost:
$15.00 -7.75 = $7.25
<span>Because the question asks for the sample standard deviation, use this formula:
s = square root of (sum of x - xBar)² / (n - 1)
There are 9 numbers, there, so n - 1 = 8
Next, find the mean (xBar): 15 + 42 + 53 + . . . + 47 = 227. 227 / 9 = ~25.2
Next, for each number, subtract xBar and square the result, like this:
(15 - 25.2)² = 104.0
(42 - 25.2)² = 282.2
(53 - 25.2)² = 772.8
...
Next, add up all those values (i.e., 104 + 282.2 + 772.8...) and divide by (n - 1).
In this example, the answer to this is 2,535.2 / 8, or 316.9.
Finally, take the square root of that number to get s.
sqrt (316.9) = 17.8.
Therefore, the answer is 17.8.</span>
When we say deductive reasoning, this is also referred to as the top-down logic or from general to specific kind of logic. In this case, a conclusion is being made based on different premises which are considered true and relevant. Therefore, in the given statement above, I can say that it is false. The one that is being defined above is inductive reasoning. Hope this helps.
Answer:
k = 37/8
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>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
-29 = 9 - 6k - 2k - 1
<u>Step 2: Solve for </u><em><u>k</u></em>
- Combine like terms: -29 = 8 - 8k
- [Subtraction Property of Equality] Subtract 8 on both sides: -37 = -8k
- [Division Property of Equality] Divide -8 on both sides: 37/8 = k
- Rewrite/Rearrange: k = 37/8
<u>Step 3: Check</u>
<em>Plug in k into the original equation to verify it's a solution.</em>
- Substitute in <em>k</em>: -29 = 9 - 6(37/8) - 2(37/8) - 1
- Multiply: -29 = 9 - 111/4 - 37/4 - 1
- Subtract: -29 = -75/4 - 37/4 - 1
- Subtract: -29 = -28 - 1
- Subtract: -29 = -29
Here we see that -29 does indeed equal -29.
∴ k = 37/8 is the solution to the equation.
I’m pretty sure the answer would be B
Hope this helped
