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Vaselesa
2 months ago
14

Find the value of x in each case:

Mathematics
1 answer:
AnnZ [12.3K]2 months ago
7 0
angle FGE = 36, angle GEL = 72, and angle GFH = 144 Step-by-step explanation: You know that angle GEF = 180 - 2x and angle GFE = 180 - 4x. The sum of all angles in triangle GEF must be 180, leading to the equation 180 = 180 - 2x + 180 - 4x + x. This simplifies to 180 = 360 - 5x, so 5x = 180, giving x = 36. Thus, angle FGE = 36, angle GEL = 72, and angle GFH = 144.
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A glass ball is packed in the box shown. Which expression represents the volume of foam padding needed to fill the space in the
Inessa [12570]

Response: (27- 4/3 pi) r^3

Step-by-step clarification: 1. The volume of a cube is defined as V= a^3,  V= 3^3, and thus V=27

2.  The volume of a sphere is represented by V=4/3 pi r^3......

5 0
1 month ago
What is the total cost of an item priced $4.95 if there is 5% sales tax?
Zina [12379]
4.95 + 4.95 × 0.05 = 5.20
$5.20
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1 month ago
From past experience, a company has found that in carton of transistors: 92% contain no defective transistors 3% contain one def
zzz [12365]
To determine the variance, we need to first calculate the second moment as follows: The variance can be determined using this equation: The standard deviation is simply the square root of the variance, which gives us the result.
8 0
2 months ago
A software engineer creates a LAN game where an 8 digit code made up of 1,2,3,4,5,6,7,8 has to be decided on, universal code . T
PIT_PIT [12445]

Respuesta:

0.0143 = 1.43% de probabilidad de que los primeros 4 dígitos del código sean números pares.

Explicación paso a paso:

Arreglos de elementos n:

El número de arreglos posibles de n elementos se determina por:

A_{n} = n!

Probabilidad:

La probabilidad se calcula dividiendo el número de resultados deseados por el número total de resultados.

En esta pregunta:

Resultados deseados:

Los primeros cuatro dígitos son pares (2, 4, 6 y 8 son pares, así que se consideran 4 elementos).

Los últimos cuatro dígitos son impares (1, 3, 5 y 7 son impares, por lo que los últimos cuatro elementos son también arreglos de 4 elementos). Entonces

D = 4!*4! = 24*24 = 576

Resultados totales:

Arreglos de 8 dígitos. Así que

T = A_{8} = 8! = 40320

Probabilidad:

p = \frac{D}{T} = \frac{576}{40320} = 0.0143

0.0143 = 1.43% de probabilidad de que los primeros 4 dígitos del código sean números pares.

3 0
1 month ago
Which is a y-intercept of the continuous function in the table? (0, –6) (–2, 0) (–6, 0) (0, –2)
Zina [12379]

The y-intercept is the location where any graph meets the y-axis.

Conversely, the x-intercept is where a graph intersects the x-axis.

This indicates that the coordinates at the intercept will always have the x-value as 0. Therefore, points of the format (0, y) represent y-intercepts, while points in the format (x, 0) indicate x-intercepts.

The provided points are:

(0,-6): y-intercept

(-2,0): x-intercept

(-6,0): x-intercept

(0,-2): y-intercept

3 0
2 months ago
Read 2 more answers
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