Answer:
a) The probability that this whole shipment will be accepted is 30%.
b) Many of the shipments with this rate of defective aspirin tablets will be rejected.
Step-by-step explanation:
We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.
We select a sample of size 48 and test for defectives.
If more than one aspirin is defective, the batch is rejected.
The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48
We have to calculate the probabilities that X is equal or less than 1: P(X≤1).

Answer:
En el curso anterior había 430 alumnos.
Step-by-step explanation:
El curso tiene 473 alumnos. Nos dicen que respecto al curso anterior se ha producido un aumento de inscripciones del 10 %. Entonces, siendo x la cantidad de alumnos que había en el curso anterior, se puede plantear la ecuación:
x + 0.1*x= 473
Resolviendo se obtiene:
1.1*x=473
x= 473 ÷1.1
x= 430
<u><em>En el curso anterior había 430 alumnos.</em></u>
If two similar triangles have sides in the ratio a : b, then their areas are in the ratio a² : b².
We have the ratio:

Area of the smaler triangle = x
Area of the larger triangle = 567 cm²
Therefore we have the equation:

<h3>Answer: C. 63 cm²</h3>
Answer:
y=3/2(x)+4
Step-by-step explanation:
Because line AB is perpendicular to line BC, the slope of AB is equal to 3/2. Substituting (-2,1) into the new equation gives us "1=3/2(-2)+b" which simplifies to 1=-3+b. This means that b=4.