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Vesna [10]
2 years ago
15

71, 80, 82, 78, 80, 91, 107, 121, 125, 131, and 142. The variance of this data set is?

Mathematics
1 answer:
adoni [48]2 years ago
7 0

Answer:

636.41818

Step-by-step explanation:

^2=∑=1(−⎯⎯⎯)2−1

^2=−1

^2=6364.181811−1

^2=6364.181810

^2=636.41818

I hope this helps :)

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Solve for z: -4 - (z - 6) = 12
aksik [14]

Answer:

z = -10

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

-4 - (z - 6) = 12

<u>Step 2: Solve for </u><em><u>z</u></em>

  1. Distribute negative:                              -4 - z + 6 = 12
  2. Combine like terms:                             -z + 2 = 12
  3. Subtract 2 on both sides:                    -z = 10
  4. Divide -1 on both sides:                        z = -10

<u>Step 3: Check</u>

<em>Plug in z to verify it's a solution.</em>

  1. Substitute:                    -4 - (-10 - 6) = 12
  2. Subtract:                       -4 - (-16) = 12
  3. Simplify:                        -4 + 16 = 12
  4. Add:                               12 = 12

Here we see that 12 does indeed equal 12.

∴ z = -10 is a solution of the equation.

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Greta is opening a savings account. She starts with $100 and plans to add $50 each week. What is the unit rate of change for thi
Semmy [17]

Greta starts with $100 in her savings account

She adds $50 each week

Balance after week 1 = 100 + 50 = 150

Part A

Unit rate of change here is = \frac{\text{Balance after week 1 - Initial balance}}{\text{Initial balance}} * 100

⇒ Unit rate of change here is = \frac{\text{150 - 100}}{\text{100}} * 100

⇒ Unit rate of change here is = 50%

Part B

Equation to calculate the amount of money Greta will have after any number of weeks = ?

Money after 'x' number of weeks = \text{Initial Deposit + x * Weekly Deposit}

⇒ Money after 'x' number of weeks = \text{100 + x * 50}

Part C

Money Greta will have after 1 year= ?

In a year there are 52 weeks

So, putting x = 52 in the solution of Part B

⇒ Money after 52 weeks = \text{100 + 52 * 50}

⇒ Money after 52 weeks = \text{100 + 2,600}

⇒ Money after 52 weeks = 2,700

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Answer:

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Step-by-step explanation:

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