Answer:
Step-by-step explanation: so to find slope it’s y2-y1/x2-x1
Slope is 1/6
Y = 1/6x + b
Plug in one set of points to find b Idek if u need to find it but
2 = 1/6(12) + b
2 = 6 + b
2-6 = -4
Y = 1/6x -4
So to start this off, we need to find the area of the playground. We can simply multiply 150*2 and 50*2, and we get 300 and 100. Add those together and we get 400m.
Now, we can identify the number of laps it takes. But first, we have to convert kilometers into meters. there are 1000 meters in 1 km, so we will use 1000 to find the answer
Now, we can do 1000/400 to find the answer, which is 2.5
Therefore, it will take Kerry 2.5 laps to skate around the entire park
Answer: 2.5 laps
Hope this helped!!! :D
Answer:
36.58% probability that one of the devices fail
Step-by-step explanation:
For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. So we use the binomial probability distribution 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.
A total of 15 devices will be used.
This means that 
Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.
This means that 
What is the probability that one of the devices fail?
This is 
36.58% probability that one of the devices fail
The sum total of the angles in a triangle is equal to 180° degrees.
Distance = r x t ===> t=d/r
Distance (after 2 hours driving @30mil/hr) = 2 x 30 = 60 Mil
To drive same distance (60) with r = 50, the time needed is 60/50 =1.2 hrs
