In the graph​ below, the vertical axis represents average real GDP growth for 65 countries over the period 1960−​1995, and the horizontal axis shows the average trade share within these countries. This is an example of

For what value of is the series convergent? [Hint: Consider Product Rule and the fact that ]  

If the three least squares assumptions hold, then the large sample normal distribution of  is

Let be a monotonic sequence such that and , . Find

Let  be a monotonic sequence such that  and , . Find 

Tim, a 7-year-old child with an individual IQ score estimated at 55 and a diagnosis of moderate Intellectual Developmental Disability. He has a flattened nose and somewhat larger than average tongue. His hands are short and broad with only one crease across the palm. His eyes slant upward. His head seems small for his body and slightly flattened on the back. At birth, he had a bowel defect that was corrected early in development.  Tim’s mother states, “Timmy was a real surprise to his dad and me. I was 46 and thought my symptoms were the beginning of menopause. I was really surprised when the doctor told me I was pregnant. But he is a sweet child even if he has problems. His brothers who are much older love him and protect him.” Tim likely has what condition?    

You are counseling a group of adolescent girls who have experienced sexual and physical abuse as children. As the group progresses the girls express amazement that the things they experience with their families are so similar. Jessica states, “I always thought I was the only one in this situation.” Which adolescent thought process does this illustrate?  

Alan Goldstein, a three-month-old infant, has been diagnosed with a genetic mutation that occurs at the hexosaminidase A (HEXA gene). His parents, Ethel and David Goldstein are descended from Eastern European Jews and are both carriers of this condition.  Dr. Nunez indicates that Alan will likely show symptoms at six months when his development will begin to slow and the disease will compromise his motor development. The doctor states that the child will become blind, deaf, and cognitively impaired. Their doctor states that this condition ____________ generally will kill the child before about age 5. This condition is called?  

Jenna, 14, has been bullied by three of her classmates who pick on her, because of her red hair and freckles. Jenna has been bullied on several social media platforms by these girls. Marisa and her friends havespread rumors about Jenna in this way, as have the other girls. Jenna has entered therapy due to a suicidal threat. This would be classified as what type of bullying?    

For what values of does the series