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MariettaO [177]

Step-by-step explanation:

3e <= 6

e <= 2 (divide 3 on both sides)

The e-values that satisfy the inequality are:

e = 1 and e = 2.

4 0

3 years ago

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What is the solution to this inequality?

MrMuchimi

Answer:

A

Step-by-step explanation:

Divide both sides with -16. ALWAYS remember that if you divide any number with a negative number, this "< ≤ > ≥" symbols have to change to the opposite direction

4 0

2 years ago

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HELP PLEASE<br><br>Question is in the photo.<br><br>I need both Part A and Part B.

posledela

The range of f is the set of all real numbers and the range of f would not change if the value of n is changed

<h3>The range of f when n = 5</h3>

The function is given as:

$f(x) =\left \{ {{x - 1;\ \ x < n} \atop {- x + 4;\ \ x \ge n}} \right.$

When n = 5, we have:

The domain of the function is:

x < 5 and x ≥ 5

This means that the domain is the set of all real numbers.

The function is a linear piece wise function, and the range of a linear function is the set of all real numbers.

Hence, the range of f is the set of all real numbers.

<h3>Does changing the value of n change the range?</h3>

As stated in (a) the range of a linear function is the set of all real numbers.

This means that irrespective of the value of n; the range would remain the same

Hence, the range of f would not change if the value of n is changed

Read more about piecewise functions at:

brainly.com/question/18859540

#SPJ1

3 0

2 years ago

Los alumnos de 6 grado obtuvieron las siguientes calificaciones en sus exámenes de matemáticas, encuentra la Media, moda y media

skelet666 [1.2K]

Answer:

Media = 8.73

Moda = 9.0

Mediana = 9.0

Step-by-step explanation:

En este caso, vamos a repasar primero el concepto de cada uno:

Media: Se refiere a un promedio numérico de varios datos en una medida. Se calcula como la sumatoria de todos los valores numéricos dividido entre la cantidad de valores existentes,

Moda: Se refiere al valor numérico que mas se repite en una secuencia numérica.

Mediana: Se refiere al número, o números, que se encuentran justo en la mitad de una secuencia numérica ordenada de menor a mayor o de mayor a menor.

Tomando en cuenta estos conceptos, determinemos cada uno de ellos. Son 15 calificaciones. Si las ordenamos todas de menor a mayor tenemos:

7.0, 8.0, 8.0, 8.0, 8.0, 9.0, 9.0, 9.0, 9.0, 9.0, 9.0, 9.0, 9.0, 10.0, 10.0

Para la media:

Media = 7 + (8+8+8+8) + (9+9+9+9+9+9+9+9) + (10+10) / 15

<h2>Media = 8.73</h2>

<u>Para la moda:</u>

Como se puede observar, la calificación 9.0 se repitió 8 veces por lo tanto

<u>Para la mediana:</u>

Al observar los datos ordenados de mayor a menor, nos damos cuenta que la calificación 9.0 se encuentra en la mitad de esos datos, asi que

<h2>Mediana = 9.0</h2>

Espero te ayude.

6 0

3 years ago

3.8.10) Inclusions are defects in poured metal caused by contamitants. The number of (large) inclusions in cast iron follows a P

Afina-wow [57]

Answer:

a) P(X>=1) = 0,7293 or P(X>=1) = 72,93 %

b) P(X>=3) = 0,5686 or P(X>=3) = 56,86 %

c) y = 0,8494 mm³

d) λ = 1,69897 inc per mm³

Step-by-step explanation:

a) P(X>=1) = 1 - P(X=0)

P(X = 0) = λ⁰ * e∧⁻λ / 0! where λ = 2 in/mm³

P(X = 0) = e∧-2 ⇒ P(X = 0) = 0,2706

Then

P(X>=1) = 1 - 0,2706

P(X>=1) = 0,7293 or P(X>=1) = 72,93 %

b) 3 inc. in 4 mm³ = 2*4/3 λ = 2,67 inc. per mm³

P(X>=3) = 1 - P(X=1 ) - P(X=2)

P(X=1) = λ¹ * e∧-λ / 1! ⇒ P(X=1) = 2,67 *e∧- 2,67/1

P(X=1) = 0,1846

P(X=2) = λ² * e∧-λ / 2! ⇒ P(X=2) = (2,67)² * e ∧ - 2,67/2

P(X=2) = 7,1289* 0,06925/2 ⇒ P(X=2) = 0,2468

Then

P(X>=3) = 1 - 0,1846 - 0,2468

P(X>=3) = 0,5686 or P(X>=3) = 56,86 %

c) P(X>=1) = 0,98

and λ = 2*y where y is the quantity of material

P(X=0) = 1 - P(X>=1)

P(X=0) = 1 - 0,98 P(X=0) = 0,02

0,02 = (2*y)⁰ * e ∧ -2*y /0!

0,02 = 1 * e ∧ -2*y

Taking log on both sides of the equation

log (0,02) = -2*y - 1,69897 = - 2*y

y = 0,8494 mm³

d) P(X >=1 ) = 1 - P( X = 0)

0,98 = 1 - P( X = 0)

P( X = 0) = 0,02

0,02 = λ⁰ * e ∧ - λ / 0!

0,02 = e ∧ -λ

Taking log on both sides of the equation we get:

log ( 0,02 ) = - λ

- 1,69897 = - λ

λ = 1,69897 inc. per mm³

8 0

3 years ago