D. It has a positive slope and negative y- intercept.
Step-by-step explanation:
2y -3x = -4
We can rewrite the equation in the form of y = mx+ b where m is the slope and b is the y - intercept as,
2y = 3x- 4
Dividing all the terms by 2, we will get,
2y/2 = 3x/2 - 4/2
y = (3/2)x -2
So the slope is 3/2 which is positive and y-intercept is -2 which is negative.
Using a discrete probability distribution, it is found that:
a) There is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.
b) There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.
c) The expected value is of 1.3 lawns mowed on a randomly selected day.
<h3>What is the discrete probability distribution?</h3>
Researching the problem on the internet, it is found that the distribution for the number of lawns mowed on a randomly selected dayis given by:
Item a:
P(X = 2) = 0.3, hence, there is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.
Item b:

There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.
Item c:
The expected value of a discrete distribution is given by the <u>sum of each value multiplied by it's respective probability</u>, hence:
E(X) = 0(0.2) + 1(0.4) + 2(0.3) + 3(0.1) = 1.3.
The expected value is of 1.3 lawns mowed on a randomly selected day.
More can be learned about discrete probability distributions at brainly.com/question/24855677
Answer:
B
Step-by-step explanation:
The range is the largest number minus the smallest number.
Hope this helps!