-53 ≥ -3(3z + 3 ) + 3z
⇔ -53 ≥ -9z - 9 + 3z
⇔ -53 ≥ -6z - 9
⇔ -44 ≥ -6z
⇔ z ≥ 22/3
Answer:
2.828 i think
Step-by-step explanation:
Z = (x - mu)/sigma
z = (6.19 - 3.77)/3.39
z = 0.71386430678467
z = 0.71
The approximate z score, rounded to two decimal places, is 0.71
Answer:
n = 1
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>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
-41 = -2/5(45n + 60) + n
<u>Step 2: Solve for </u><em><u>n</u></em>
- Distribute -2/5: -41 = -18n - 24 + n
- Combine like terms: -41 = -17n - 24
- [Addition Property of Equality] Add 24 on both sides: -17 = -17n
- [Division Property of Equality] Divide -17 on both sides: 1 = n
- Rewrite/Rearrange: n = 1
<u>Step 3: Check</u>
<em>Plug in n into the original equation to verify it's a solution.</em>
- Substitute in <em>n</em>: -41 = -2/5(45(1) + 60) + 1
- (Parenthesis) Multiply: -41 = -2/5(45 + 60) + 1
- (Parenthesis) Add: -41 = -2/5(105) + 1
- Multiply: -41 = -42 + 1
- Add: -41 = -41
Here we see that -41 does indeed equal -41.
∴ n = 1 is the solution to the equation.
Answer:
First graph
Step-by-step explanation:
The first graph is strictly decreasing because it starts from point (0;4) and decrease to point (4;0).
While graph 2 and 3 is constant
Since graph 2:y=2 and 3:x=1
And graph 4 is strictly increasing from (0;0) to (4;4).