Answer:
![\displaystyle m=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B1%7D%7B2%7D)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:
![\displaystyle m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-4, 7)
Point (10, 14)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope<em> m</em>
- Substitute in points [SF]:
![\displaystyle m=\frac{14-7}{10+4}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B14-7%7D%7B10%2B4%7D)
- [Fraction] Subtract/Add:
![\displaystyle m=\frac{7}{14}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B7%7D%7B14%7D)
- [Fraction] Divide:
![\displaystyle m=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B1%7D%7B2%7D)
The probability that the value selected at random is greater than 30 will be found as follows:
z-score is given by:
z=(x-mu)/sig
z=(30-30)/2=0
thus
P(x>30)=1-P(X<30)=1-P(z<0)=1-0.5=0.5
Answer P(x>30)=0.5
C. assumed
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