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
A polynomial is said to be in standard form if it is written in the order of degree from highest to lowest from left to right.
The degree of a term of a polynomial is the exponent of the variable or the sum of the exponents of the variables of that term of the polynomial.
Thus, given the expression
has a degree of 6, and
has a degree of 6.
Thus, the exponent of the variable or the sum of the exponents of the variables of the next term of the polynomial must be less than or equal to 6 for the polynomal to be said to be in standars form.
Therefore, the <span>terms that could be used as the last term of the given expression to create a polynomial written in standard form are
</span>
Remember to use y=mx+b there telling u for top left solve for that n grapgh y is mx up n down b is x left n right
Answer:
a
Step-by-step explanation:
The actual mural will be 15 feet tall.
To find the height of the mural, we first need to find the scale by dividing Jerome's scale drawing's measurements from the mural's measurements.
Before we do that, we need to make sure our units are the same. Jerome's scale drawing is measured in inches, and the mural is measured in feet. To keep the numbers whole, I'm going to convert the mural's width from feet to inches by multiplying it by 12.
20 × 12 = 240
Now that our units are the same, we can divide Jerome's scale drawing's width from the mural's width to find the scale.
240 ÷ 12 = 20
The scale of Jerome's scale drawing to the mural is 1:20. This means that the mural's measurements are 20 times Jerome's scale drawing.
Now, to find the height, or how tall the actual mural will be, you multiply the height of Jerome's scale drawing, 9 inches, by the scale, 20.
9 × 20 = 180 inches
Since the question is asking how tall the mural will be in feet, you divide 12 from 180 to find the number of feet in 180 inches.
180 ÷ 12 = 15 feet
The actual mural will be 15 feet tall.
