(5-3) + (10+5) O A. 15+81 O B. 15+ 21 O C. -5+21 O D.-5+81 SUBN

Consider a machine that fills 275 gallon tanks of water. The owner discovers that the machine does not always dispense exactly 2

fenix001 [56]

Answer:

(a) The random variable X 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 X be denoted as the amount of water filled by the machine in a 275 gallon tank.

(a)

The random variable X 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 X is a continuous random variable.

(b)

The probability density function of the continuous random variable X is given as follows:

$0.25;\ 272$

$f_{X}(x) =0.20;\ 273$

$0.55;\ 274$

(c)

Compute the value of P (272.5 < X < 273.8) as follows:

$P(272.5$

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.

4 0

3 years ago

You put $800 in an account that earns 4% simple interest. Find the total amount in your account after each year for 3 years. (Pl

alexandr402 [8]

To get 4% of 800 you times 800 by 4 and divide it by 100. Once you have that amount you add it to 800 to find the amount you will have in your bank the first year. To get the next year's amount you then get 4% of 832(because after the first year you have more than $800) and then add the 4% to 832, that is the answer for the second year. To find the third year's amount you get 4% of the new amount (last year's total) and add it to last year's total, that is your total for the third year. So the first year will be: (800x4÷100)+800 =32+800 =832 The second year will be: 832+(832x4÷100) =832+33.28 =865.28 The third year will be: (865.28×4÷100)+865.28 =34.61(rounded off)+865.28 =899.89

3 0

4 years ago

Read 2 more answers

Help, please. I dont really understand

Ivenika [448]

Answer:

We can eliminate the second and third options because marking something up doesn't result in a number less than the original. Since we are told to select 3 options and there are 3 answer choices left we select the first, fourth, and fifth statements.

5 0

3 years ago

The measures of the angles of a triangle are shown in the figure below. Solve for x. 72° 64° (4x+20)°

drek231 [11]

9514 1404 393

Answer:

x = 6

Step-by-step explanation:

The sum of angles in a triangle is 180°.

72 +64 +(4x +20) = 180

4x = 24 . . . . . subtract 156

x = 6 . . . . . . . divide by 4

7 0

3 years ago

2) Mr. Somers had twenty pieces of metal that were all the same length. If each piece of metal was 3 1/5 inches long and he put

Zanzabum

You would do 20 • 3=60 and the you would add 20 • 1/5=4 so, your total is 64in.

7 0

3 years ago