Answer:
120*2.75*60/5280
= 3.75
Step-by-step explanation:
So James is walking at 120 steps a minute, there are 60 minutes in one hour, and 5,280 feet in a mile. So, to find how quickly James is walking, we multiply how many steps he is taking a minute by how much distance each step is (120 * 2.75) that gives us how much distance in one minute, so we then multiply by 60 because there are 60 minutes in one hour. Then divide the entire equation by how many feet are in one mile (5,280) giving us the answer 3.75 miles per hour. And the equation 120*2.75*60/5280
Answer:
x=0
Step-by-step explanation:
4x+7=3x+7
4x-3x=7-7
x=0
Answer:
P(X=2)=0.0446
Step-by-step explanation:
If X follows a Poisson distribution, the probability p to have x pits in 1 cm2 is calculated as:
Where m is the mean of pits per cm2, so, replacing m by 6 pits per cm2, we get that the probability is equal to:
Now, the probability P(x=2) that there are 2 pits in a 1 cm2 is calculated as:
Answer:
P(at least 1 wrong in 10) =0.5160
Step-by-step explanation:
Let A be the event that there is a problem in the proces. Then the probability of problem with the process is P ( A) = 0.07
Let B be the event that the process is without the problem. Then the probability of without problem is P ( B) = 0.93
Now we want to find the 10 successive points of event B. Since the events are independent we can find this as
P(B)+P(B)+P(B)+P(B)+P(B)+P(B)+P(B)+P(B)+P(B)+P(B)
or
P(B)^ 10= .93^10=0.48398
As we have to calculate at least 1 in 10 then we will subtract it from 1.
P(at least 1 wrong in 10) = = 1 - .93^10 =1- 0.48398=0.5160
