I took a sample of the number of items in 20 randomly selected shopping carts at Target at the checkout. The sample mean was 17.75 and the sample standard deviation was 10.36. Construct a 90% confidence interval for the mean number of items in a Target shopping cart. Group of answer choices 17.75 /- 1.645 (2.32) 17.75 /- 2.093 (2.32) 17.75 /- 1.96 (2.32) 17.75 /- 1.729 (2.32)

Tom is making a punch that contains 80% cranberry juice and the rest ginger ale. the punch has 2 liters of ginger ale. part a: write an equation using one variable that can be used to find the total number of liters of cranberry juice and ginger ale in the punch. define the variable used in the equation and solve the equation. hint: 0.8x represents the number of liters of cranberry juice in the punch. (5 points) part b: how many liters of cranberry juice are present in the punch? show your work.

Oscar and julie ashton are celebrating their 15th anniversary by having a reception hall. they have budgeted $4,500 for their reception. if the reception hall charges a $90 cleanup fee plus & 36 per person, find the greatest number of people that they may invite and still stay within their budget.

Hurry im being timed the graph of f(x)=x^3-3x^2+4 is shown based on the graph how many distinct real numbers solutions does the equation x^3-3x^2+4=0 have