So the easiest way to do this problem is to put your equation in linear form, meaning y = the rest of the equation.
I'm going to show the work to do that below:
2x - y = 4
-2x -2x (Here I am subtracting 2x)
- y = 4 - 2x
(-1)(- y) = (-1)(4 - 2x) (Now I'm multiplying both sides by -1 to make y positive)
y = 2x - 4 (And just for neat purposes I'm going to put the 2x in front of the 4)
Now you have your equation ( y=2x-4 ) and you're ready to put it on the points of your graph.
Start on the point (0, -4) to represent the y axis.
y = 2x - 4
Then, your rise (2) over your run (1)
so your coordinates for a line will be:
(0, -4) (-2, 1) (1, 0)
You only need to plot these three to connect your line.
I appologize for my lack of visuals i understand this might be confusing, however if you have any further questions feel free to let me know!
Answer:
48.68% probability that managment is unhappy with the number of complaints in the next eight hours.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval.
A service center receives an average of 0.6 customer complaints per hour.
This means that
, in which n is the number of hours.
Eight hours:
This means that 
Determine the probability that managment is unhappy with the number of complaints in the next eight hours.
They will be unhappy if they receive five or more complaints.
Either they receive less than five complaints, or they receive at least five. The sum of the probabilities of these events is 1. So

We want
.
Then

In which

So







Finally

48.68% probability that managment is unhappy with the number of complaints in the next eight hours.
Answer:
see below
Step-by-step explanation:
34 * 85 + 34 * 36
= 34 * (85 + 36)
= 34 * 121
= 11 * (34 * 11)
Answer:
£53.40
Step-by-step explanation:
The shop has an offer where you:
buy 1 T-shirt and get 1 free
buy 3 jumpers and get 2 free
This means if a person pays for 1 T-shirt, he/she gets two and if he/she pays for 3 jumpers, he/she gets 5.
Therefore, to buy 4 T-shirt, you have to pay for 2 and to buy 5 jumpers, you have to pay for 3.
1 T- shirt costs £4.80, therefore, 2 will cost:
2 * 4.80 = £9.60
1 jumper costs £14.60, therefore, 3 will cost:
3 * 14.60 = £43.80
Therefore, the customer will sped a total of:
43.80 + 9.60 = £53.40
The customer will pay £53.40 to get 5 jumpers and 4 T-shirts using this offer.
Answer:
The equation of this line is y = 3x - 2
Step-by-step explanation:
In order to find this, start by finding two points on the line. We'll use (0,-2) and (1, 1). From there we start by finding the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (1 - -2)/(1 - 0)
m = (1 + 2)/(1)
m = 3/1
m = 3
Now using that, we can plug it, along with a point into point-slope form to get the answer.
y - y1 = m(x - x1)
y - 1 = 3(x - 1)
y - 1 = 3x - 3
y = 3x - 2