On this question I will be grading your work, not your answer.  At the end of this Graded Practice you will scan all your work into a single document and upload it into the last question. SHOW ALL WORK as indicated in the Video Lesson. Draw and Shade the indicated area under a Normal Distribution Curve for each of the questions below. Show ALL calculations (including z-scores and how the area(s) under the curve are combined) Kevin uses his phone everyday.  His usage is normally distributed with a mean of 28 minutes and a standard deviation of 8 minutes. Type GRADE MY WORK is this box:  a.  Find the probability that on a particular day, Kevin uses his phone for less than 30 minutes. b.  Find the probability that on a particular day, Kevin uses his phone for more than 35 minutes. c.  Find the probability that on a particular day, Kevin uses his phone between 24 and 34 minutes. d.  Find the probability that on a particular day, Kevin uses his phone for less than 18 minutes. NOTE:  You will lose points if you do not show all work and calculations on your paper (as demonstrated in the video lesson).  

On this question I will be grading your work, not your answer.  At the end of this Graded Practice you will scan all your work into a single document and upload it into the last question. SHOW ALL WORK as indicated in the Video Lesson. Given the following data set:    3.5    3.3    4.6    4.1    3.0    3.2    4.3    3.8    3.1 Type GRADE MY WORK is this box:  a.  The mean is     (Round to 3 decimal places as needed) b.  The median is   c.  The mode(s) is(are)   (Enter No Mode if there is not a mode.  If there is more than one mode, separate by using a comma.) NOTE:  You will lose points if you do not show all work and calculations on your paper (as demonstrated in the video lesson).  

EXTRA CREDIT         (3 POINTS) SHOW ALL WORK as indicated in the Video Lesson. Draw and Shade the indicated area under a Normal Distribution Curve for each of the questions below. Show ALL calculations (including z-scores and how the area(s) under the curve are combined) NO WORK = NO POINTS A manufacturing process produces a critical part of average length 120 ​millimeters, with a standard deviation of 2 millimeters.  All parts differ by more than 5 millimeters from the mean must be rejected. Assume a normal distribution. What percentage of the parts must be​ rejected, on​ average?   

Use your Graphing Calculator to find the mean and standard deviation of the following grouped frequency table.   Group Frequency 44.5 – 49.5 12 49.5 – 54.5 7 54.5 – 59.5 8 59.5 – 64.5 10 64.5 – 69.5 7 69.5 – 74.5 9 74.5 – 79.5 2   The mean is   (Round to 3 decimal places as needed) The standard deviation is   (Round to 3 decimal places as needed)

The time it takes Patty to ride her bike to school is normally distributed with a mean of 17 minutes and a standard deviation of 4 minutes. What is the z-score corresponding to a time of 22 minutes?

Use your Graphing Calculator to find the mean and standard deviation of the data. 23.7     54.6     34.7     42.1     53.2     28.9     33.3     43.6     62.8    The mean is   (Round to 3 decimal places as needed) The standard deviation is   (Round to 3 decimal places as needed)

On this question I will be grading your work, not your answer.  At the end of this Graded Practice you will scan all your work into a single document and upload it into the last question. SHOW ALL WORK as indicated in the Video Lesson. Given the following data set:         38     51     46     79     57     44   Type GRADE MY WORK is this box:  a.  The range is b.  The standard deviation is     (Round to 3 decimal places as needed) NOTE:  You will lose points if you do not show all work and calculations on your paper (as demonstrated in the video lesson).  

EXTRA CREDIT  (5 points) The Boards and Blades Company manufactures both skateboards and in-line skates. The company can produce no more than a combined total of 20 skateboards and in-line skates per day. The company planners want to make at least 3 skateboards per day. The company planners want to make  least 2 pairs of in-line skates per day. If x is the number of skateboards and y is the number of in-line skates that the company manufacturers, write a system of linear inequalities modeling this problem.  Be sure to include appropriate restrictions on x and y.  Graph the set of feasible solutions. On this question I will be grading your work, not your answer.  On your paper, complete the following:  On your paper, write a system of linear inequalities that model the above problem.  Be sure to include any restrictions (nonnegative or otherwise) on x and y  Graph the system on your paper AND shade the solution (feasible) region.  Label the corner points on the graph. At the end of the exam you will scan all your work into a single document and upload it into the last question. a.  List all the corner points of the feasible region:  Enter ordered pairs.  Enter fractions in a/b form as needed.  If there are more than one, separate pairs with a comma.  NO SPACES. b.  Enter SEE WORK in this box: 

On your graph paper, NEATLY show ALL WORK solving the following system of linear inequalities.                   Show ALL WORK: Find  x-intercept of each line (if it exists).   Find  y-intercept of each line (if it exists) Draw an accurate graph on your graph paper.  Shade the solution (feasible) region Label the corner points on the graph. Fill in the blanks below. On this question I will be grading your work on your graph paper.  At the end of this Graded Practice you will scan all your work into a single document and upload it into the last question. a.  Type SEE WORK in this box:  b.  The solution region is . c.  List all corner points.  Enter ordered pairs. Enter fractions in a/b form as needed.  If there are more than one, separate pairs with a comma.  NO SPACES.    

North Star Sail Company manufactures regular and competition sails.  Each regular sail takes 1 labor-hour to cut and 3 labor-hours to sew. Each competition sail takes 2 labor-hours to cut and 4 labor-hours to sew. Due to budget constraints, the hours in the cutting department cannot exceed 140 and the hours in the sewing department cannot exceed 360. If x is the number of regular sails and y is the number of competition sails the company manufacturers, write a system of linear inequalities modeling this problem.  Be sure to include appropriate restrictions on x and y.  Graph the set of feasible solutions. On this question I will be grading your work, not your answer.  On your paper, complete the following:  On your paper, write a system of linear inequalities that model the above problem.  Be sure to include any restrictions (nonnegative or otherwise) on x and y  Graph the system on your paper AND shade the solution (feasible) region.  Label the corner points on the graph. At the end of the exam you will scan all your work into a single document and upload it into the last question. a.  List all the corner points of the feasible region:  Enter ordered pairs.  Enter fractions in a/b form as needed.  If there are more than one, separate pairs with a comma.  NO SPACES. b.  Enter SEE WORK in this box: