Mastering Math Word Problems
Rubi Romo2022-04-29A committee is to consist of a chair, three hagglers, and four do-nothings. The committee is formed by choosing randomly from a pool of 10 people and assigning them to the various "jobs."
(a) How many different committees are possible?
(b) Norman is eager to be the chair of the committee. What is the probability that he will get his wish? (Round your answer to two decimal places.)
(c) Norman's girlfriend Norma is less ambitious and would be happy to hold any position on the committee provided that Norman is also selected as a committee member. What is the probability that she will get her wish and serve on the committee? (Round your answer to two decimal places.)
(d) Norma does not get along with Oona (who is also in the pool of prospective members) and would be most unhappy if Oona were to chair the committee. Find the probability that all Norma's wishes will be fulfilled: She and Norman are on the committee, and it is not chaired by Oona. (Round your answer to two decimal places.)
A committee is to consist of a chair, three hagglers, and four do-nothings. The committee is formed by choosing randomly from a pool of 10 people and assigning them to the various "jobs."
(a) How many different committees are possible?
(b) Norman is eager to be the chair of the committee. What is the probability that he will get his wish? (Round your answer to two decimal places.)
(c) Norman's girlfriend Norma is less ambitious and would be happy to hold any position on the committee provided that Norman is also selected as a committee member. What is the probability that she will get her wish and serve on the committee? (Round your answer to two decimal places.)
(d) Norma does not get along with Oona (who is also in the pool of prospective members) and would be most unhappy if Oona were to chair the committee. Find the probability that all Norma's wishes will be fulfilled: She and Norman are on the committee, and it is not chaired by Oona. (Round your answer to two decimal places.)
Sydney Petitclerc2022-04-28In a normal distribution, the mean is 20 and the standard deviation
was 5. What percentage of data has a value greater that 24?
In a normal distribution, the mean is 20 and the standard deviation
was 5. What percentage of data has a value greater that 24?
the standard dose of antibiotics is 4cc (cubic centimeters) for every 25 pounds of body weight what is the standard dose of a 150 pound man
the standard dose of antibiotics is 4cc (cubic centimeters) for every 25 pounds of body weight what is the standard dose of a 150 pound man
A tank initially contains 200 liters of fresh water. Brine containing 2 N/L dissolved salt enters the tank. At the same rate. Find the salt concentration in the tank after 5 minutes.
A tank initially contains 200 liters of fresh water. Brine containing 2 N/L dissolved salt enters the tank. At the same rate. Find the salt concentration in the tank after 5 minutes.
Cynthia invests some money in a bank which pays 5% compound interest per year. She wants it to be worth over £8000 at the end of 3 years. What is the smallest amount, to the nearest pound, she can invest
Cynthia invests some money in a bank which pays 5% compound interest per year. She wants it to be worth over £8000 at the end of 3 years. What is the smallest amount, to the nearest pound, she can invest
A simple binary communication channel carries messages by using two signals 0 and 1. It was assumed that for a given binary channel, 40% of the time a 1 is transmitted; the probability that a transmitted 0 is correctly received is 0.90 ; the probability that 1 is correctly received 0.95 . This information is illustrated in Figure 1 where 1 . 0 . 1 . 0 . A event that is transmitted A event that is transmitted B event that is received B event that is received = = = = Figure 1: A single-stage binary communication channel a. Find P B( ) and P B( ) and P A B ( ) b. If P B A P C B ( ) ( ) = and P B A P C B ( ) ( ) = , find P C B ( ) and P C B ( ) c. Illustrate all the information on a two- stage binary communication channel in figure 2 below. Figure 2: A two-stage binary communication channel d. Illustrate the two-stage binary communication channel in c. above on a tree diagram with their respective probability. e. Find P ABC ( ) , P C( ) and P C( )
A simple binary communication channel carries messages by using two signals 0 and 1. It was assumed that for a given binary channel, 40% of the time a 1 is transmitted; the probability that a transmitted 0 is correctly received is 0.90 ; the probability that 1 is correctly received 0.95 . This information is illustrated in Figure 1 where 1 . 0 . 1 . 0 . A event that is transmitted A event that is transmitted B event that is received B event that is received = = = = Figure 1: A single-stage binary communication channel a. Find P B( ) and P B( ) and P A B ( ) b. If P B A P C B ( ) ( ) = and P B A P C B ( ) ( ) = , find P C B ( ) and P C B ( ) c. Illustrate all the information on a two- stage binary communication channel in figure 2 below. Figure 2: A two-stage binary communication channel d. Illustrate the two-stage binary communication channel in c. above on a tree diagram with their respective probability. e. Find P ABC ( ) , P C( ) and P C( )
hxnxybee08 2022-04-19The equation y=5,280x gives the number of feet, in x miles. what does the number 5280 represent in this relationshi?
The equation y=5,280x gives the number of feet, in x miles. what does the number 5280 represent in this relationshi?
Use the counting principle to determine the number of elements in the sample space.
Two digits are selected with replacement from the digits 1, 2, 3, 4, 5, and 6.
Use the counting principle to determine the number of elements in the sample space.
Two digits are selected with replacement from the digits 1, 2, 3, 4, 5, and 6.
kstorm626 2022-04-09A die is weighted in such a way that each of 2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5. Find the probability distribution. What is the probability of rolling less than 5?
A die is weighted in such a way that each of 2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5. Find the probability distribution. What is the probability of rolling less than 5?
xhanidubs 2022-04-08A particular die thrown a 100 times. The results are as follows:
x 1 2 3 4 5 6
frequency 12 20 27 21 14 6
a) Calculate the sample mean X̅, i.e. the average score you expect when throwing a single die
b) Calculate the corresponding sample standard deviation s
c) Now this experiment is conducted again 35 times. Assuming that the die indeed follows a
distribution with corresponding mean and variance found in a) and b), find the probability that
the sample mean, i.e. the average score of these 35 experiments, exceeds 4.
A particular die thrown a 100 times. The results are as follows:
x 1 2 3 4 5 6
frequency 12 20 27 21 14 6
a) Calculate the sample mean X̅, i.e. the average score you expect when throwing a single die
b) Calculate the corresponding sample standard deviation s
c) Now this experiment is conducted again 35 times. Assuming that the die indeed follows a
distribution with corresponding mean and variance found in a) and b), find the probability that
the sample mean, i.e. the average score of these 35 experiments, exceeds 4.
nasriibraahim507 2022-04-07A farmer has a 200 m fencing
material to enclose two adjacent sides of a rectangular field. What dimensions should be used so that the enclose area will be a maximum?
A farmer has a 200 m fencingmaterial to enclose two adjacent sides of a rectangular field. What dimensions should be used so that the enclose area will be a maximum?
450 cubic centimetres of wood is used to make a solid cylindrical ornament. The radius of the base of the ornament is 5 centimeters. What is the height of the cylindrical ornament?
450 cubic centimetres of wood is used to make a solid cylindrical ornament. The radius of the base of the ornament is 5 centimeters. What is the height of the cylindrical ornament?
adreyana freeman2022-04-04The gel weighs 54 pounds per cubic foot. What is the weight of the block of gel?
The gel weighs 54 pounds per cubic foot. What is the weight of the block of gel?
