Author: Anonymous

It is well known that productivity tends to be higher during earlier hours of the day, which is why in a certain workshop that fills bottles with cleaning solutions, 65% of the daily bottles filled is completed during the morning hours.  Therefore, 35% of the daily bottles filled is completed during the later hours of the day.  Of the bottles filled in the morning, 8% of them are overfilled.  Of the bottles filled in the later part of the day, 15% of them are overfilled. (6 pts) What percentage of the bottles are overfilled? (6 pts) Given a bottle has been overfilled, what is the probability that the bottle was filled in the morning?

The following boxplot represents the number of caffeinated beverages the employees in an office drank per week. (5 pts) Find and interpret the IQR for this boxplot. (5 pts) Find and interpret the first quartile. (2 pts) Describe the shape of the graph.

The data below represents the number of fruit produced from a sample of 12 orange trees in an orchard. For the file upload, make sure to use proper notation where applicable!  You are not expected to use proper notation for this essay question when you type it in. 12, 40, 47, 47, 48, 49, 49, 50, 51, 52, 53, 55 (3 pts) Find the mean. (2 pts) Find the mode (6 pts) Find the standard deviation. (6 pts) Find the five number summary of the data. (5 pts) Identify any outliers in the data, showing your work. (6 pts) Construct a boxplot of the data. This part can be left blank on the exam, just make sure to include the image in your file upload.

Which noteworthy educational innovation, based on Vygotsky’s work, involves children working together to achieve a common goal?

Formulas:

6.  For angle A,  if tan A > 0  and sin A < 0 a)  Draw the angle in the correct quadrant         b)  Given P(-2, -5)  Find  tan A, cscA and sec A         c)  Using inverse trig, find the reference angle in degrees       d)  Find the origianl angle in degrees    

3.  Use Fundamental Identities and pythagorean identities to find the value of the trigonometric function.     Find tan @ , given that the  ;     sin @ =  and @ is in Quad II

According to Piaget, what do adolescents rely on during the formal operational stage that helps them reason differently than children in the concrete operations stage?

Which term refers to the educational model that fostered the view of American society as a “melting pot,” in which the goal of education was to incorporate individual cultural identities into a unique, unified American culture?

One consequence of acquiring improved metacognitive skills is interpreting the thoughts and actions of others as being focused on oneself. This common occurrence during adolescence is known as __________.