Math help, thanks for the help. i'm very great full
1 answer:
You might be interested in
Answer:
(a) The random variable <em>X</em> is a continuous random variable.
(b) The probability density function is shown below.
(c) The probability that a 275 gallon tank gets less than 272.5 gallons or more than 273.8 gallons of water is 0.285.
Step-by-step explanation:
Let the random variable <em>X</em> be denoted as the amount of water filled by the machine in a 275 gallon tank.
(a)
The random variable <em>X</em> is a continuous random variable.
A continuous random variables assumes infinite values. That is, they assume values in a fixed interval. For example, the distance covered by a car.
A discrete random variable assumes fixed definite values. They assume whole number values. For example, number of customers visiting a bank in an hour.
The amount of water in the tank can be any value between 0 to 275 gallon.
Hence, the random variable <em>X</em> is a continuous random variable.
(b)
The probability density function of the continuous random variable <em>X</em> is given as follows:
(c)
Compute the value of P (272.5 < X < 273.8) as follows:
Thus, the probability that a 275 gallon tank gets less than 272.5 gallons or more than 273.8 gallons of water is 0.285.
Answer:
x = 4 for Lines U and V to be parallel
<u>Skills needed: HS Geo, Angle Theorems, Equations</u>
Step-by-step explanation:
1) We see that there are two angle measures given to us. There is an angle marked with the measure of °, and the other is marked with (
)°.
- First of all, these two angles are categorized alternate interior angles. They are on alternate sides of the transversal, and are within the two lines (not on the outer side of the lines). I will add an image for reference regarding this idea.
- If 2 lines are parallel, alternate interior angles are congruent. This means that:
2) Solving this equation is fairly straightforward.
(add 2 to both sides in order to get the
by itself.
(to get
by itself)
- 132 divided by 33 is 4, and 33x divided by 33 is x, so
--------------------------------------------------------------------------------------------------------------Hope you understood, have a great day.
