Transversal CD cuts parallel lines PQ and RS at points X and Y, respectively. Points P and R lie on one side of line CD, while p
oints Q and S lie on the other side. If m∠PXY = 64.36°, what is m∠RYX?
1 answer:
This problem is solved better well when given the drawing or the figure. It may have been given and you forgot to attach it in the question. However, so that we can solve this now, I drew the figure on my own (see the attached pic).
We can see from the figure that two parallel lines are intersected by a straight line. This type of scenario creates special angles. Angle PXY and angle RYX are called alternate interior angles since they are on the interior opposite sides of the cut.
By virtue of alternating interior angles, angle PXY and angle RYX are congruent hence:
m∠RYX = m∠PXY
m∠RYX = 64.36°
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Answer:
0.3968 = 39.68% probability this shipment passes inspection.
Step-by-step explanation:
The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
50 parts means that
4 defective means that
10 are chosen, which means that
What is the probability this shipment passes inspection?
Probability that none is defective, so:
0.3968 = 39.68% probability this shipment passes inspection.
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>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:
En que:
Por eso:
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