Answer:






Step-by-step explanation:
For each toss, there are only two possible outcomes. Either it is tails, or it is not. The probability of a toss resulting in tails is independent of any other toss, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
Fair coin:
Equally as likely to be heads or tails, so 
5 tosses:
This means that 
Probability distribution:
Probability of each outcome, so:







Answer:
I hope it helped u.
Step-by-step explanation:
Resolviendo un sistema de ecuaciones, veremos que se vendieron 250 boletos de adulto.
<h3>¿Cuántos boletos de adulto fueron vendidos?</h3>
Definamos las variables:
- x = boletos de adulto vendidos.
- y = boletos de estudiantes vendidos.
Se vendieron un total de 430 boletos, entonces:
x + y = 430
Y se vendieron 70 boletos de estudiante menos que boletos de adulto:
y = x - 70
Tenemos el sistema de ecuaciones:
x + y = 430
y = x - 70
Para resolverlo, podemos reemplazar la segunda ecuación en la primera:
x + y = 430
x + (x - 70) = 430
2x = 430 + 70 = 500
x = 500/2 = 250
Se vendieron 250 boletos de adulto.
Sí quieres aprender más sobre sistemas de ecuaciones:
brainly.com/question/13729904
#SPJ1
Answer:
Radius = 2 cm.
Step by step explanation:
By the Pythagoras theorem the third side of the triangle
= sqrt (6^2 + 8^2)cm = sqrt100 = 10cm.
The formula for the radius of the circle is
r = sqrt [ (s - a)(s-b)(s-c)/ s ] where a,b,c are side lengths and s = the semi perimeter.
Here s = ( 6+8+10) / 2 = 12
So the radius r
= sqrt [ (12-6)(12-8)(12-10)/ 12 ]
= sqrt 4
= 2 (answer).