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Andre45 [30]
3 years ago
5

The front face of a laundry basket is in the shape of a trapezoid as shown. A trapezoid has a base of 24 inches, height of 12 in

ches, and top side length of 20 inches. What is the area of the front face of the laundry basket? 252 square inches 264 square inches 288 square inches 336 square inches
Mathematics
2 answers:
Sonbull [250]3 years ago
8 0

Answer:

B or 264

Step-by-step explanation:

Y_Kistochka [10]3 years ago
7 0

Answer:

264 in²

Step-by-step explanation:

Parameters given:

Base, b = 24 inches

Height, h = 12 inches

Top side length, a = 20 inches

We are told that the front face of the basket is in the shape of a trapezoid.

The area of a trapezoid is:

A = ½ * (a + b) * h

The area of the front face of the basket is:

A = ½ * (20 + 24) * 12

A = ½ * 44 * 12

A = 264 in²

The area of the front face of the basket is 264 in².

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Answer: m∠7=130°

Step-by-step explanation:

  If two parallel lines are cut by another line (transversal), each one will have four angles surrounding the intersection.

By definition,  the adjacent angles of each parallel line, are supplementary, this means that they add up 180°.

Then, if m∠2=50°, then  m∠3 is:

m∠3=180-50=130°

By definition, the angles that are in the same relative position are know as corresponding angles and they are congruent.

Therefore:

m∠3=m∠7

m∠7=130°

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solo el 20% de los empleados de la población civil que está en una base militar restringida porta su identificación personal. Si
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Usando la distribución binomial, hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.

<h3>¿Qué es la distribución binomial?</h3>

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

Los parámetros son:

  • n es el número de ensayos.
  • p es la probabilidad de éxito en un ensayo
  • x es el número de éxitos

En este problema, hay que:

  • 20% de los empleados de la población civil que está en una base militar restringida porta su identificación personal, o sea p = 0.2.
  • Llegan 10 empleados, o sea, n = 10.

La probabilidad de que el guardia de seguridad encuentre al menos uno en la base militar restringida es dada por:

P(X \geq 1) = 1 - P(X = 0)

En que:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074

Por eso:

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1074 = 0.8926

Hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.

Puede-se aprender más a cerca de la distribución binomial en brainly.com/question/25132113

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