Answer:
![\displaystyle m=\frac{-3}{4}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B-3%7D%7B4%7D)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Reading a Cartesian plane
- Coordinates (x, y)
- 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>
<em>Find points from graph.</em>
Point A(0, 8)
Point B(4, 5)
<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 [Slope Formula]:
![\displaystyle m=\frac{5-8}{4-0}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B5-8%7D%7B4-0%7D)
- [Fraction] Subtract:
![\displaystyle m=\frac{-3}{4}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B-3%7D%7B4%7D)
We are supposed to assume FC and AD is straight line
let's find all the angles
you already see the right angle is 90 degrees, you got that right
striaght line is 180 degrees
90+46+EF=180
136+EF=180
minus 136 both sides
EF=44
now we got another straight line
you did get that A F=46 because it is oposite
notice: AB=BC because same angle designition
so now we use
180+46+2AB=360
2AB=134
divide 2
AB=67=BC
AC=134 degrees
CAE=134+46+44=224
ABD=180 since straight line
a. 90
b. 224
c.134
d. 180
Answer:
1) ![S=\{1,2,3,4,5,6\}](https://tex.z-dn.net/?f=S%3D%5C%7B1%2C2%2C3%2C4%2C5%2C6%5C%7D)
2) ![O=\{1,3,5\}](https://tex.z-dn.net/?f=O%3D%5C%7B1%2C3%2C5%5C%7D)
Step-by-step explanation:
Given : A number cube with faces labeled from 1 to 6 will be rolled once. The number rolled will be recorded as the outcome.
To find : Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of rolling an odd number. If there is more than one element in the set, separate them with commas ?
Solution :
A number cube with faces labeled from 1 to 6 will be rolled once.
The sample space describing all possible outcomes is given by
![S=\{1,2,3,4,5,6\}](https://tex.z-dn.net/?f=S%3D%5C%7B1%2C2%2C3%2C4%2C5%2C6%5C%7D)
All of the outcomes for the event of rolling an odd number is given by
![O=\{1,3,5\}](https://tex.z-dn.net/?f=O%3D%5C%7B1%2C3%2C5%5C%7D)
Answer:
7.30167%
Step-by-step explanation:
Usando la fórmula de puntuación z
z = (x-μ) / σ, donde x es la puntuación bruta, μ es la media de la población y σ es la desviación estándar de la población
Para x <0.20 pulgadas
z = 0.20 - 0.25 / 0.02
z = -2.5
Valor de probabilidad de Z-Table:
P (x <0.20) = 0.0062097
Para x> 0.28 pulgadas
z = 0.28 - 0.20 / 0.02
z = 1.5
Valor de probabilidad de Z-Table:
P (x <0.28) = 0.93319
P (x> 0.28) = 1 - P (x <0.28) = 0.066807
La probabilidad de que se produzcan tornillos defectuosos cuando el tornillo se considera defectuoso si su diámetro es inferior a 0.20 pulgadas o superior a 0.28 pulgadas es
P (x <0.20) + P (x> 0.28)
= 0.0062097 + 0.066807
= 0.0730167
Conversión a porcentaje
= 0.0730167 × 100
= 7.30167%
El porcentaje de tornillos defectuosos producidos es
7.30167%