Square root of 256 is

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

Julio is training for a swimming race. The first part of his training schedule is shown. Session 1 2 3 456 Swimming distance (mi

Volgvan

An arithmetic sequence is a sequence in which the difference between each consecutive term remains same (constant).

The explicit formula for an arithmetic sequence is $A_n=a+(n-1)d$ , where a is first term of sequence, d is the common difference between consecutive terms.

A) We can see from Julio's swimming distance that it is in arithmetic sequence as after every successive training session Julio's swimming distance increased by 0.30 miles.

$0.55-0.25=0.30$

$0.85-0.55=0.30$

$1.75-1.45=0.30$

Therefore, we can see that Julio's training schedule is an arithmetic sequence.

B) Let us find Julio will take how many days to swim 2.95 miles by using explicit formula.

$A_n=a+(n-1)d$

Let us substitute our given information in above formula.

$2.95=0.25+(n-1)0.30$

$2.95=+0.25+0.30n-0.30$

$2.95=0.30n-0.05$

$2.95+0.05=0.30n$

$3.00=0.30n$

$n=\frac{3.00}{0.30}=10$

We are told that Julio swims every two days, this implies that he would swim on alternate days. So he will swim 2.95 miles on 10*2 =20th day.

Let us find 20th day will be which day. As Julio started his training schedule on Tuesday, 20th day will be a Sunday. Therefore, Julio will swim for 2.95 miles on a Sunday.

6 0

3 years ago

What is .97 as a percent?

Pepsi [2]

Answer: I belive it is 97%

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Please need help asap!!

Andru [333]

I think the answer is yes

8 0

3 years ago

The sampling examples below use either the stratified or the cluster method of sampling. Select the examples that use the strati

RSB [31]

Answer: The examples that use the stratified method are: (1). A questionnaire is created to gauge student opinion on a new university cafeteria. A sample of 40 eshmen, 50 sophomores, 60 juniors, and 50 seniors is selected to fill out the questionnaire. (2). A potato field is believed to be infected with a plant disease. The field is divided into 10 equal areas, and 25 potatoes are selected from each area to be tested for the disease.

Step-by-step explanation: Stratified sampling technique is a type of sampling where the population under study has a number of distinct categories or sub-groups in which it is divided into. These categories or sub-groups are called strata and are defined by certain characteristics related to the variable or particular finding under interest. The sampling frame can be organized into separate mutually exclusive strata and then each ‘stratum’ is being sampled as an independent sub-population out of which individual elements can be randomly selected. In this case, each unit in a stratum, that is, each element in a group has a chance of being selected. With stratified sampling, the best result occurs when elements within strata are internally homogenous.

6 0

3 years ago