Answer:
x + 3y > 6
Step-by-step explanation:
Find two points that satisfy x + 3y = 6 and draw a DASHED line through them.
It is greater than so shade the section ABOVE that line.
Using the intercept method, the two points I chose are: (0, 2) & (6, 0)
y ≥ 2x + 4
Find two points that satisfy y = 2x + 4 and draw a SOLID line through them.
It is greater than so shade the section ABOVE that line.
The two points I chose are: (0, 4) & (1, 6)
The solution is where the shaded sections overlap.
For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.
For the given case we have following values and their probabilities:
0 : 0.1
2 : x
3 : y
So the expected value will be = 0(0.1) + 2(x) + 3(y)
Expected value is given to be 2.05. So we can write the equation as:
2x + 3y = 2.05 (Equation 1)
Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:
0.1 + x + y = 1
x + y = 0.9 (Equation 2)
From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:
2(0.9 - y) + 3y = 2.05
1.8 - 2y + 3y = 2.05
1.8 + y = 2.05
y = 0.25
Using the value of y in equation 2 we get value of x to be 0.65
Therefore we can conclude that:
The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25
Let the total cost of the item be represented by C and the price be represented by P, then given that t<span>he total cost of an item including sales tax is directly proportional to its price, thus</span>
where k is a constant.
Given that <span>the total cost of a $32 item is $33.60, thus
Therefore, the total cost on a $55 item is given by
</span>
