Answer:

Step-by-step explanation:



<em>hope this helps.....</em>
Answer C is the right answer.
Step-by-step explanation:
h(x) = f(x) * g(x)
h(x) = (2*3^x ) * ( 3*3^2x )
2 * 3 is easy, that will be 6.
The ground number 3 remains 3 in h(x), so that is easy too...
But with multiplying exponents, you can add them.
Let's concentrate only on the exponents of f(x) and g(x)... and add them...
x + 2x =3x
So, now combine the easy part with this new exponent, and you get <u>h(x)</u><u> </u><u>=</u><u> </u><u>6</u><u>*</u><u>(3)^(3x)</u>
<u>So</u><u> </u><u>answer C is the right answer.</u>
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:
The correct option is the third: All positive real numbers
Step-by-step explanation:
The domain of this function are all possible values that x can take. If we are talking about the number of miles traveled, these can be as many as the client travels (20.5, 670.23, etc), or zero, if not traveled any. But x can never be less than zero, since it would be absurd for a customer to have traveled -20 miles, for example. Therefore x can take any positive value. The domain of the function is
x> 0
The correct option is the third: All positive real numbers
1/5= .2 + 1= 1.2 is 1 1/5 as a decimal