Zach scores a ringer 40, percent of the time that he throws a horseshoe. let r be the number of throws it takes zach to score his first ringer in a game. assume the results of each throw are independent.
find the probability that it takes zach 555 or more throws to score his first ringer. p(r ≥ 5) =

0.1296

Step-by-step explanation:

The desired probability is calculated by using geometric probability distribution having the pdf of

P(X=r)=p*q^r-1 where x=1,2,3,

The geometric distribution is used because experiment is repeated various number of times until the success is obtained.

Here p is the probability of success which is 0.4 in the given scenario as Zach scores a ringer 40% percent of time

We wish to calculate the probability that Zach throws 555 or more to achieve his first ringer that is

P(R≥5)=1-P(R<5)=1-P(R≤4)

P(R≤4)=P(R=1)+P(R=2)+P(R=3)+P(R=4)

P(R≤4)=0.4*0.6^0+0.4*0.6^1+0.4*0.6^2+0.4*0.6^3

P(R≤4)=0.4+0.4*0.6+0.4*0.36+0.4*0.216

P(R≤4)=0.8704

P(R≥5)=1-P(R≤4)=1-0.8704=0.1296.

So it is 12.96% chance that the Zach throws 555 or more to achieve his first ringer.

idk im srry

step-by-step explanation:

la parábola es el lugar

geométrico en el cual los puntos tienen una distancia idéntica, equidistantes,

de un punto denominado foco, f, y una recta denominada directriz

el radio vector de una

parábola es el segmento que existe entre un punto cualquiera y el foco.

por la ecuación se observa

que la parábola abre hacia la derecha, por lo cual podemos usar las siguientes fórmulas

la ecuación ordinaria de la

parábola es y^2 = 4px, donde p es la longitud desde el vértice de la parábola al

foco.

la fórmula de la directriz

es x + p = 0

resolviendo:

y^2-9x = 0

y^2 = 9x

4p = 9, entonces p = 9/4

entonces el foco tendrá la

coordenada f(9/4,0)

la directriz vendrá

expresada por

x + p = 0

x = -p

x = -9/4

el problema indica que la

ordenada es igual a 6, entonces

(6)^2=9x

x = 36/9

x = 4

entonces el punto al cual

hay que obtener la distancia será p(4,6)

calculando se tendrá: pf = 

pf = 6,25 u

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step-by-step explanation: