PLEASE HELP QUESTIONS ARE IN THE FILE BELOW ITS EASIER TO LOOK AT IT THAT WAY!!! The Students' Conjectures: Two students, Ernest and Denise, are training for a swim half-marathon in 10 weeks, and they disagree about their training schedule. If they follow Ernest's suggested training schedule, will they be ready to swim 5 km in time for the half-marathon? Complete the table to summarize each student's suggested training schedule. (2 points: 1 point for each row of the chart)

Classmate Conjecture

Ernest

Denise

Do the distances they swim every week make an arithmetic sequence? Why? (1 point)

Analyzing the Data:

Fill out the schedules for the first four weeks of training. (2 points: 1 point for each person)

Ernest's Schedule

Denise's Schedule

Week Kilometers to swim daily Week Kilometers to swim daily

1 1

2 2

3 3

4 4

Write the recursive formula for each sequence: an = an – 1 + d.

(4 points: 2 point for each formula)

Student

d

Recursive formula

Ernest

Denise

Find the explicit formula for each arithmetic sequence: an = a1 + (n – 1) • d.

(4 points: 2 points for each formula)

Student

Explicit formula

Ernest

Denise

Using the explicit formula, calculate how far the students will be swimming on week 10 using Ernest's schedule. (3 points)

Using the explicit formula, calculate how far the students will be swimming on week 10 using Denise's schedule. (3 points)

Making a Decision

Which training schedule will get them ready to swim 5 km in time for the half-marathon? (1 point)

Two trains leave stations 546 miles apart at the same time and travel toward each other. one train travels at 95 miles per hour while the other travels at 115 miles per hour l. how long will it take for the two trains to meet

What is the solution for the following system of equations? use any method to solve. 2x + 8y = 4 x = -3y + 5 question 4 options: x = 14, y= -3 x = 2, y = -3 x = -3, y = -3 x = 12, y = 5

Study published in the journal of personality and individual differences found that adults with adhd displayed more creative achievement than those who didn't have the disorder. "for the same reason that adhd might create problems, like distraction, it can also allow an openness to new ideas," says holly white, assistant professor of cognitive psychology. "not being completely focused on a task lets the mind make associations that might not have happened otherwise." white and priti shah at the university of michigan gave 60 college students – half of them with adhd – a series of tests measuring creativity across 10 domains. the adhd group scored higher across the board. the adhd group showed more of a preference for brainstorming and generating ideas than the non-adhd group, which preferred refining and clarifying ideas. the adhd status of the participants was established by asking whether the individual had ever been clinically diagnosed with adhd/add. the tests of creativity were pencil-and-paper tasks administered in a laboratory setting. each of the ten scales was comprised of multiple questions, the scores on which were summed (e.g., writing creativity: "how many words can you make from the letters in the word 'psychology' invention creativity: "write down as many uses for a paper clip that you can think of.") this procedure does allow for a participant to be scored as showing no creativity under these conditions. a) state the research question in plain language (i wonder if is related to (1 point) b) state the null hypothesis (1 point) c) state the research hypothesis (1 point) d) is the research hypothesis directional or non-directional (1 point) e) name the predictor / independent variable f) give the operational definition of the predictor / independent variable g) evaluate the construct validity of the predictor / independent variable. (face, procedure, method-match) h) name the outcome / dependent variable i) give the operational definition of the outcome / dependent variable. j) evaluate the construct validity of the outcome / dependent variable. (face, procedure, method-match)