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
Answer: the number of the cookies in the original batch is 120
Step-by-step explanation:
Let x represent the number of cookies that were in the original batch.
She gave one-quarter of the batch to Kevin. This means that the number of cookies given to Kevin is 1/4×x = x/4
She gave one-fifth to Katie. This means that the number of cookies given to Katie is 1/5×x = x/5
She gave one-sixth to Mike.
This means that the number of cookies given to Mike is 1/6×x = x/6
If those three were given a total of 74 cookies, it means that the sum of the cookies given to Kevin, Katie and Mike 74. It is expressed as
x/4 + x/5 + x/6 = 74
Taking 60 as LCM and multiplying through with it, it becomes
15x + 12x + 10x = 4440
37x = 4440
x = 4440/37
x = 120
Answer:
Step-by-step explanation:
To find the slope of this line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 4x – 5y = 12 is m = 4/5. Therefore, the slope of every line parallel to this line would have to be m = 4/5. Two lines are perpendicular if
Answer:
4 minutes and then 0.25 or 1/4
Step-by-step explanation: