The probability of saving a penalty kick from the opposing team is .617 for a soccer goalie. If 7 penalty kicks are shot at the goal, what is the probability

0.2754

Step-by-step explanation:

Probability of saving a penalty kick = 0.617

p = 0.617 ; q = 1 - p = 1 - 0.617 = 0.383

number of trials, n = 7

Number of saves, x = 5

Using the binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 5) = 7C5 * 0.617^5 * 0.383^2

P(x = 5) = 21 * 0.0894181 * 0.146689

P(x = 5) = 0.2754

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.