You would begin by choosing which trigonometric function to use.
In this case, you would use sine.
Sine is opposite over hypotenuse.
Opposite of the 35 degree angle is 18, and you want to find the hypotenuse which is x.
sin(35) =
(multiply x to both sides)
x sin(35) = 18 (divide sin(35) to both sides)
x = 31.38204...
So, therefore
x = 31.38. I don't know what decimal point you're supposed to round to, so I'm gonna guess the hundredths place. :)
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:
No
Step-by-step explanation:
In this particular scenario, based on the numbers I would say that it does not make sense to represent this with a constant rate. That is because in a span of three years the change between each year is completely different, for example, between the first and second year there was a change of
9.75 - 8.50 = 1.25 dollar change
1.25 / 8.50 = 0.147 or a 14.7% increase
Between the second and third year, there was a change of
12 - 9.75 = 2.25 dollar change
2.25 / 9.75 = 0.23 or 23% increase
Therefore, each year the percent and dollar value increase is increasing more and more which would not be a constant rate.
Should be A I’ll show you what I did though it might not make sense because I kind of did it in a weird way but yeah that answer should be A hope this helps :)
For d and e are correct
I really hope this helps! Have an awesome day:D
