A random sample size of 450 is drawn from a large population. The population standard deviation is 1.6. The sample mean is 27.9. Estimate the size of the population mean, including margin of error.

Arectangle with an area of 47 m² is dilated by a factor of 7. what is the area of the dilated rectangle? enter your answer in the box. do not leave your answer as a fraction.

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.

The area of square garden is 300m squared. how long is the diagonal?