A physics student loves affogato and wants to know the proportion of his fellow students who say it’s their favorite dessert. He randomly samples 145 students at his university, and 43 of them say affogato is also their favorite dessert. Calculate the upper bound for a 95% confidence interval for the true proportion of students at this university whose favorite dessert is affogato.

The upper bound for a 95% confidence interval for the true proportion of students at this university whose favorite dessert is affogato is 38%.

Step-by-step explanation:

The (1 - α) % confidence interval for population proportion is:

Compute the sample proportion as follows:

The critical value of z for 95% confidence level is:

Calculate the upper bound for a 95% confidence interval for the true proportion of students at this university whose favorite dessert is affogato as follows:

Thus, the upper bound for a 95% confidence interval for the true proportion of students at this university whose favorite dessert is affogato is 38%.

what is

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)