Answer:
The solid rod BC has a diameter of 30 mm and is made of an aluminum for which the allowable shearing stress is 25 MPa. Rod AB is hollow and has an outer diameter of 25 mm; it is made of a brass for which the allowable shearing stress is 50 MPa.
Answer:
La probabilidad pedida es ![0.820196](https://tex.z-dn.net/?f=0.820196)
Explanation:
Sabemos que la probabilidad de que un nuevo producto tenga éxito es de 0.85. Sabemos también que se eligen 10 personas al azar y se les pregunta si comprarían el nuevo producto. Para responder a la pregunta, primero definiremos la siguiente variable aleatoria :
'' Número de personas que adquirirán el nuevo producto de 10 personas a las que se les preguntó ''
Ahora bien, si suponemos que la probabilidad de que el nuevo producto tenga éxito se mantiene constante
y además suponemos que hay independencia entre cada una de las personas al azar a las que se les preguntó ⇒ Podemos modelar a
como una variable aleatoria Binomial. Esto se escribe :
~
en donde
es el número de personas entrevistadas y
es la probabilidad de éxito (una persona adquiriendo el producto) en cada caso.
Utilizando los datos ⇒
~ ![Bi(10,0.85)](https://tex.z-dn.net/?f=Bi%2810%2C0.85%29)
La función de probabilidad de la variable aleatoria binomial es :
con ![x=0,1,2,...,n](https://tex.z-dn.net/?f=x%3D0%2C1%2C2%2C...%2Cn)
Si reemplazamos los datos de la pregunta en la función de probabilidad obtenemos :
con ![x=0,1,2,...,10](https://tex.z-dn.net/?f=x%3D0%2C1%2C2%2C...%2C10)
Nos piden la probabilidad de que por lo menos 8 personas adquieran el nuevo producto, esto es :
![P(X\geq 8)=P(X=8)+P(X=9)+P(X=10)](https://tex.z-dn.net/?f=P%28X%5Cgeq%208%29%3DP%28X%3D8%29%2BP%28X%3D9%29%2BP%28X%3D10%29)
Calculando
y
por separado y sumando, obtenemos que ![P(X\geq 8)=0.820196](https://tex.z-dn.net/?f=P%28X%5Cgeq%208%29%3D0.820196)
A clean machine is a clean machine :-)
Answer:
Local judges protected businessmen from paying property damages associated with factory construction and from workers seeking to unionize.
Explanation:
The Market Revolution is the name given to change in the economy that occurred in the 19th century. This drastic change led to various important changes in the United States and across the world. During this period, capitalism became more entrenched and society became, for the first time, predominantly capitalist. This gave businessmen great power, as they played an increasingly important role when it came to economic growth. The power that they had influenced society deeply, including legislation. Judges often protected businessmen from paying property damages that were associated with their business enterprises. Moreover, workers had few rights and protections, and judges prevented them from unionizing.
Answer:
a) A suspended floor is a ground floor with a void underneath the structure. The floor can be formed in various ways, using timber joists, precast concrete panels, block and beam system or cast in-situ with reinforced concrete. However, the floor structure is supported by external and internal walls.
b) Soil exploration consists of determining the profile of the natural soil deposits at the site, taking the soil samples and determining the engineering properties of soils using laboratory tests as well as in-situ testing methods
c) Bulking in sand Occurs When dry sand interacts with the atmospheric moisture. Presence of moisture content forms a thin layer around sand particles. This layer generates the force which makes particles to move aside to each other. This results in the increase of the volume of sand.
d) In a nutshell, bearing capacity is the capacity of soil to support the loads that are applied to the ground above. It depends primarily on the type of soil, its shear strength and its density. It also depends on the depth of embedment of the load – the deeper it is founded, the greater the bearing capacity.
Explanation:
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