Answer:
-2, b, a+c
Step-by-step explanation:
Standard form looks like this: Ax + By = C.
y - (-1) = 3(x - 4)
y + 1 = 3x - 12
y = 3x - 12 - 1
y = 3x + 13
Move 13 to left side and y to right side.
-13 = 3x - y
Done!
Answer:
91
Step-by-step explanation:
Let
x = first number
x+1 = second number
x+2 = third number
x+3 = fourth number
Total = 182
x + x + 1 + x + 2 + x + 3 = 182
4x + 6 = 182
Subtract 6 from both sides
4x + 6 - 6 = 182 - 6
4x = 176
Divide both sides by 4
x = 176 / 4
= 44
x = 44
x = 44
x+1 = 44 + 1 = 45
x+2 = 44 + 2 = 46
x+3 = 44 + 3 = 47
Sum of the two middle numbers = 45 + 46
= 91
Answer:
933
Step-by-step explanation:
female : male
x : 1000
x : 4000
1000 x 4 = 4000
3732 : 4000
3732 ÷ 4 = 933
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