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The table above give information for 2013 on the total passengers for 5 train stations in the western United States. These stations were chosen because in 2013 they were among the most popular. The table also includes the percent increase and decrease from the precious year.
Consider the following statements and determine whether the statements are true or false based on the information provided by the table.
I. The percent of change in the passenger count from 2012 created the rank identifier for 2013.
II. The train station that has the median number of passengers also has the median rank.
III. Over 50 percent of the stations that experienced a percentage increase are in the state of Utah.
I. False
II. True
III. True
I. True
II. False
III. False
I. False
II. False
III. True
I. False
II. True
III. False
I. True
II. True
III. False
The table above give information for 2013 on the total passengers for 5 train stations in the western United States. These stations were chosen because in 2013 they were among the most popular. The table also includes the percent increase and decrease from the precious year.
Consider the following statements and determine whether the statements are true or false based on the information provided by the table.
I. The percent of change in the passenger count from 2012 created the rank identifier for 2013.
II. The train station that has the median number of passengers also has the median rank.
III. Over 50 percent of the stations that experienced a percentage increase are in the state of Utah.
I. False
II. True
III. True
I. True
II. False
III. False
I. False
II. False
III. True
I. True
II. True
III. False
I. False
II. True
III. False
Examining the table conclusions can be made on each of the statements.
Looking at option I. The percent of change in the passenger count from 2012 created the rank identifier for 2013.
Looking at the ranks, it is seen that rank 2 which is the highest given, belongs to Reno. Reno's station also had a percent decrease from the previous year. Therefore making this statement false.
Looking at option II. The train station that has the median passengers also has the median rank.
If the passenger counts were reorganized from lowest to highest is would look as follows,
The ranks if ordered in this same way would be as follows,
Since there are five entries, the median occurs at the third entry which would be passenger count 1014 and rank 6. Both of these belong to the train station at Glenwood Springs. Therefore making this statement true.
Looking at option III. Over 50 percent of the stations that experienced a percentage increase are in the state of Utah.
The stations that experienced a percentage increase belong to Glenwood Springs, Salt Lake City, and Sacramento. Glenwood Springs is a city in Colorado, Salt Lake City is a city in Utah, and Sacramento is a city in California. Only one station is in Utah therefore making this statement false.
Type of Art
Pointillism is a type of art that is created by drawing numerous dots on paper. Watercolor paintings are created by combining paint and water to create different shades. Pottery is made by molding clay.
Time to Create a Piece
A pointillism piece that has dimensions of 12x18 takes on average 15 hours to create. A watercolor painting that is 17 x 23 takes on average 20 hours to create. A piece of pottery that has dimensions 6 x 2 x 4 takes 12 hours to create.
Exposition
An art school is holding an exposition to highlight their student artists. The school will commission their students to create new works of art specifically for the exposition. The exposition requires one-third of the artwork displayed to be watercolor paintings and one-fifth to be pottery pieces.
Based on the given information, determine whether each of the statements is justified.
I. There are 20 watercolor paintings, 12 pottery pieces, and 28 pointillism pieces in the art exposition.
II. Students that will be featured in the school's exposition require no more than one day's notice.
II. Timothy is known for his watercolor pieces and is expected to paint 4 for the school's exposition. Timothy can create all the pieces over the weekend (Saturday and Sunday).
I. Not justified
II. Justified
III. Justified
I. Justified
II. Not justified
III. Justified
I. Justified
II. Not justified
III. Not justified
I. Justified
II. Justified
III. Not Justified
I. Not Justified
II. Justified
III. Not justified
Type of Art
Pointillism is a type of art that is created by drawing numerous dots on paper. Watercolor paintings are created by combining paint and water to create different shades. Pottery is made by molding clay.
Time to Create a Piece
A pointillism piece that has dimensions of 12x18 takes on average 15 hours to create. A watercolor painting that is 17 x 23 takes on average 20 hours to create. A piece of pottery that has dimensions 6 x 2 x 4 takes 12 hours to create.
Exposition
An art school is holding an exposition to highlight their student artists. The school will commission their students to create new works of art specifically for the exposition. The exposition requires one-third of the artwork displayed to be watercolor paintings and one-fifth to be pottery pieces.
Based on the given information, determine whether each of the statements is justified.
I. There are 20 watercolor paintings, 12 pottery pieces, and 28 pointillism pieces in the art exposition.
II. Students that will be featured in the school's exposition require no more than one day's notice.
II. Timothy is known for his watercolor pieces and is expected to paint 4 for the school's exposition. Timothy can create all the pieces over the weekend (Saturday and Sunday).
I. Not justified
II. Justified
III. Justified
I. Justified
II. Not justified
III. Justified
I. Justified
II. Not justified
III. Not justified
I. Not Justified
II. Justified
III. Not justified
I. Justified
II. Justified
III. Not Justified
I. There are 20 watercolor paintings, 12 pottery pieces, and 28 pointillism pieces in the art exposition.
Looking at the bolded sentence from the third paragraph,
A art school is holding an exposition to highlight their student talent. The exposition requires a third of the art work to be watercolor paintings and a fifth to be pottery pieces.
Therefore statement I. is justified.
II. Students that will be featured in the school's exposition require a least a days notice.
Looking at the bolded sentence from the second paragraph,
A pointillism piece that has dimensions of 12x18 takes on average 15 hours to create. A watercolor painting that is 17x23 takes on average 20 hours to create. A piece of pottery that has dimensions 6x2x4 takes 12 hours to create.
Since the longest an art piece takes to create is 20 hours, one days notice, although not desired, is acceptable. Therefore, statement II. is justified.
II. Timothy is known for his watercolor pieces and is expected to paint 4 for the school's exposition. Timothy can create all the pieces over the weekend (Saturday and Sunday).
Since a watercolor painting takes 20 hours and Timothy needs to create 4, that means it will take him 80 hours to complete them. Since there are only 24 hours in a day, Saturday and Sunday only gives 48 hours therefore, statement III. is not justified.
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